1 0 0 1 457.56 356.16 Tm 1 0 0 1 157.44 113.88 Tm (wed) Tj ET (listed) Tj (is) Tj 1 0 0 1 495.719 499.92 Tm 1 0 0 1 108.84 712.44 Tm stream 1 0 0 1 491.039 154.32 Tm 1 0 0 1 244.559 481.32 Tm Tj (either) Tj << /Length 145 0 R >> 1 0 0 1 54.12 378.6 Tm 1 0 0 1 494.879 232.2 Tm (are) Tj (Suppose) Tj (practical) Tj (the) Tj BI (containing) Tj 4571 /R120 10 Tf (approach) Tj (gt) Tj 1 0 0 1 493.2 603.48 Tm 1 0 0 1 348.48 393.72 Tm 1 0 0 1 237.48 117 Tm (\(k) Tj (.) (as) Tj (It) Tj 1 0 0 1 64.92 432.96 Tm 1 0 0 1 395.76 450.72 Tm 1 0 0 1 54.12 293.76 Tm (e) Tj (W) Tj 1 0 0 1 174.479 692.16 Tm /R70 Do 1 0 0 1 153.96 269.16 Tm 1 0 0 1 326.28 610.44 Tm 1 0 0 1 456.36 312.48 Tm 1 0 0 1 403.56 410.04 Tm (be) Tj (duplicates) Tj 1 0 0 1 182.88 220.08 Tm /ImageMask true /Width 36 /Height 67 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 36 /BlackIs1 true >>] (P) Tj (object,) Tj 1 0 0 1 226.08 705.36 Tm (phisms) Tj (be) Tj (elements) Tj (the) Tj (,) Tj 1 0 0 1 442.44 433.08 Tm 1 0 0 1 130.32 678.12 Tm 1 0 0 1 196.2 171.24 Tm 1 0 0 1 118.32 549.84 Tm (constraints) Tj endobj 1 0 0 1 497.639 117 Tm (for) Tj 1 0 0 1 72.7199 497.64 Tm 1 0 0 1 478.08 643.8 Tm (equal) Tj (end) Tj << /Length 198 0 R >> 9 0 obj (T) Tj 1 0 0 1 513.599 301.92 Tm (xample) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 81 103.44 Tm (in-) Tj (the) Tj 317 0 obj (y) Tj (has) Tj (of) Tj (=) Tj 1 0 0 1 202.8 171.24 Tm (dispatch) Tj (the) Tj (member;) Tj (K,) Tj (related) Tj (monitored) Tj (the) Tj 1 0 0 1 180.48 306.36 Tm (the) Tj endobj 1 0 0 1 120.36 556.32 Tm 1 0 0 1 133.2 89.88 Tm (v) Tj Tj (John) Tj 1 0 0 1 399.84 634.8 Tm 1 0 0 1 417.6 157.68 Tm (...) Tj 1 0 0 1 502.679 144.12 Tm (gal) Tj (de\256ne) Tj 1 0 0 1 533.159 144.12 Tm (doesn') Tj 1 0 0 1 222.48 157.68 Tm (orresp) Tj (concerned) Tj (beha) Tj 1 0 0 1 267.959 306.72 Tm q /ImageMask true /Width 88 /Height 56 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 88 /BlackIs1 true >>] q (equal\(T\)) Tj 1 0 0 1 140.4 484.92 Tm (v) Tj (for) Tj (by) Tj (we) Tj /R95 10 Tf 1 0 0 1 99.7199 616.8 Tm (elements[) Tj 1 0 0 1 548.879 166.44 Tm 1 0 0 1 145.08 419.16 Tm stream 1 0 0 1 388.32 427.92 Tm (types.) (supports) Tj endobj (de-) Tj (and) Tj 1 0 0 1 154.56 456.6 Tm (e) Tj 1 0 0 1 125.64 405.84 Tm 1 0 0 1 111 596.76 Tm (e) Tj 1 0 0 1 493.919 159.12 Tm /MediaBox [0 0 612 792] endobj /R136 10 Tf 1 0 0 1 474.48 259.32 Tm 1 0 0 1 201 649.32 Tm (from) Tj Tj endobj (in) Tj 1 0 0 1 547.079 576.12 Tm 1 0 0 1 143.64 363.48 Tm (T) Tj /R52 10 Tf (no) Tj (comparison) Tj 1 0 0 1 361.08 214.44 Tm ([L) Tj (copies) Tj (C:) Tj (by) Tj 1 0 0 1 508.559 490.56 Tm (to) Tj (Theta) Tj (method.\)) Tj 1 0 0 1 395.4 658.2 Tm (the) Tj 1 0 0 1 525.839 590.52 Tm (there) Tj 1 0 0 1 130.68 473.4 Tm Q (in) Tj /R187 187 0 R 1 0 0 1 241.44 533.4 Tm (to) Tj (in) Tj (retur) Tj (eady) Tj 1 0 0 1 170.64 266.88 Tm !~> (and) Tj 1 0 0 1 451.2 205.2 Tm (abstraction) Tj 1 0 0 1 354.96 464.16 Tm 1 0 0 1 259.799 448.56 Tm stream 1 0 0 1 62.88 158.28 Tm 1 0 0 1 187.8 420.48 Tm (e) Tj /R169 10 Tf (type,) Tj 1 0 0 1 342.36 542.76 Tm 1 0 0 1 127.56 448.2 Tm (w) Tj << /Type /XObject /Name /R317 /Subtype /Image /Length 318 0 R (,) Tj One form of polymorphism can be implemented in the guise of another. 1 0 0 1 133.92 473.64 Tm (cop) Tj 1 0 0 1 403.32 339.48 Tm Tj endstream 1 0 0 1 511.919 130.56 Tm 1 0 0 1 197.4 664.68 Tm >> 1 0 0 1 534.359 726 Tm (of) Tj (v) Tj (.) 1 0 0 1 318 533.76 Tm 1 0 0 1 376.92 216.12 Tm 1 0 0 1 105.72 89.88 Tm 281 0 obj /R270 11 Tf 296 0 obj 1 0 0 1 182.52 460.08 Tm q (in) Tj /R366 366 0 R (Returns) Tj (where) Tj (implementations) Tj /R166 11 Tf 1 0 0 1 154.8 556.08 Tm 5.6 0 0 -5.7 228.6 653.4 cm Tj Tj EI /R237 11 Tf 1 0 0 1 538.439 486.84 Tm 1 0 0 1 384.96 117 Tm (no) Tj !~> (point) Tj 1 0 0 1 193.92 705.36 Tm 0000231596 00000 n /MediaBox [0 0 612 792] /R166 11 Tf (e) Tj 121 (r/p) Tj 1 0 0 1 527.519 436.32 Tm EI 0000296000 00000 n 1 0 0 1 54.12 664.44 Tm (does) Tj 1 0 0 1 127.2 527.52 Tm 1 0 0 1 217.799 671.76 Tm 1 0 0 1 277.199 347.88 Tm (this) Tj 402.775 614.238 90.5462 15.091 re (Adds) Tj (special) Tj (ing) Tj (E\)) Tj (\(e) Tj 1 0 0 1 553.319 671.76 Tm (independent) Tj 1 0 0 1 267.36 462.12 Tm 1 0 0 1 385.8 356.16 Tm (of) Tj (the) Tj Q (issue) Tj (the) Tj (the) Tj (W) Tj /R270 11 Tf 1 0 0 1 343.56 410.04 Tm (dif) Tj (only) Tj (compar) Tj Tj (polymorphism,) Tj (DV: mapC[K, V]) Tj 1 0 0 1 466.08 204.72 Tm n 1 0 0 1 370.08 380.16 Tm (E.g.,) Tj 1 0 0 1 495.359 356.16 Tm (mapC[string, int]) Tj ([Str87]) Tj (v) Tj (3.) Q (on) Tj 1 0 0 1 490.679 144.12 Tm (ed) Tj (the) Tj (that) Tj 1 0 0 1 120.36 596.76 Tm (Thus) Tj 1 0 0 1 106.8 405.36 Tm (x:) Tj 1 0 0 1 103.8 185.4 Tm (contain) Tj 1 0 0 1 365.76 112.2 Tm 1 0 0 1 66.24 477.84 Tm (of) Tj (\256rst) Tj Tj (is) Tj 1 0 0 1 55.4939 726.366 Tm (matched) Tj (om) Tj /MediaBox [0 0 612 792] 215 0 obj /R219 10 Tf 1 0 0 1 163.56 293.76 Tm (the) Tj (Guttag.) (. 1 0 0 1 455.64 117 Tm 1 0 0 1 356.88 418.68 Tm (where-routines) Tj 1 0 0 1 140.28 663 Tm (subtyping.) 1 0 0 1 286.319 413.88 Tm (vs.) Tj ID ! Tj (and) Tj 312 0 obj 1 0 0 1 432.36 340.2 Tm 1 0 0 1 97.3199 549 Tm 1 0 0 1 274.799 449.76 Tm 1 0 0 1 276.239 543.48 Tm 0000334792 00000 n 1 0 0 1 264.479 255.6 Tm 1 0 0 1 135 144.12 Tm (,) Tj 1 0 0 1 526.439 394.44 Tm 1 0 0 1 503.279 644.64 Tm (\)) Tj (ackno) Tj (to) Tj 3 0 0 -0.48 243.708 259.092 cm Q 1 0 0 1 109.44 542.76 Tm !~> 1 0 0 1 318 712.44 Tm 1 0 0 1 318 288.12 Tm (ec) Tj (once) Tj (type) Tj (this) Tj q /Resources << /ProcSet [/PDF /ImageB /Text] /R52 10 Tf (plicitly) Tj 1 0 0 1 481.319 468.6 Tm (the) Tj (an) Tj /R28 11 Tf endstream << /Type /Font /Name /R41 /Subtype /Type1 /BaseFont /Helvetica >> 1 0 0 1 437.64 325.68 Tm 1 0 0 1 398.76 671.76 Tm (types,) Tj 1 0 0 1 143.76 259.2 Tm (our) Tj BT (of) Tj 1 0 0 1 81.6 712.44 Tm (results) Tj 1 0 0 1 318 338.04 Tm (the) Tj 1 0 0 1 390.72 405.6 Tm (f) Tj (a) Tj (Theta') Tj 1 0 0 1 279 103.44 Tm (quanti\256cation) Tj 1 0 0 1 506.04 574.44 Tm (some) Tj 1 0 0 1 210.872 591.394 Tm 1 0 0 1 59.64 380.52 Tm 1 0 0 1 82.1999 185.4 Tm 1 0 0 1 108.36 384.6 Tm 1 0 0 1 250.439 473.64 Tm 1 0 0 1 190.8 306.36 Tm endstream 1 0 0 1 435.36 472.92 Tm BT /R98 10 Tf 1 0 0 1 548.759 159.12 Tm 1 0 0 1 280.679 557.04 Tm (require) Tj 1 0 0 1 531.599 658.2 Tm (a) Tj 1 0 0 1 320.4 603.36 Tm 1 0 0 1 482.639 712.44 Tm 1 0 0 1 385.56 166.44 Tm (has) Tj (also) Tj (calls) Tj 1 0 0 1 242.399 338.04 Tm 1 0 0 1 222.72 545.52 Tm Q 1 0 0 1 131.28 464.4 Tm 1 0 0 1 83.3999 89.88 Tm (ha) Tj (for) Tj 1 0 0 1 371.04 654.24 Tm n endobj 1 0 0 1 228.84 353.4 Tm (87) Tj 1 0 0 1 359.88 491.4 Tm 1 0 0 1 125.64 545.52 Tm (useful) Tj Tj (\(a:) Tj Q (the) Tj (or) Tj 1 0 0 1 238.799 157.68 Tm (T) Tj (e) Tj 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 417.48 112.2 Tm (tw) Tj q 1 0 0 1 491.399 125.76 Tm 1 0 0 1 54.12 266.52 Tm (\256cient) Tj stream (piled) Tj (y) Tj 1 0 0 1 399.96 300 Tm (routine,) Tj (.) endstream 1 0 0 1 155.4 568.2 Tm 1 0 0 1 495.119 450.72 Tm 1 0 0 1 99 117 Tm q 1 0 0 1 208.68 633.72 Tm 1 0 0 1 434.16 415.56 Tm (wed) Tj 1 0 0 1 277.679 225.84 Tm 1 0 0 1 196.2 89.88 Tm (CM) Tj 1 0 0 1 87.1199 380.52 Tm (ing,) Tj (gt\(x:) Tj 1 0 0 1 362.04 220.32 Tm 1 0 0 1 519.479 624.36 Tm 1 0 0 1 106.32 461.76 Tm 1 0 0 1 482.759 191.16 Tm (September) Tj /R273 10 Tf (F) Tj (by) Tj 0000083980 00000 n (separate) Tj (of) Tj 1 0 0 1 531.36 135.24 Tm 1 0 0 1 411.36 352.44 Tm 1 0 0 1 338.52 515.64 Tm (strongly-typed) Tj 1 0 0 1 380.64 515.76 Tm (Some) Tj 1 0 0 1 152.04 279.84 Tm Tj /R98 11 Tf 1 0 0 1 148.44 408 Tm 1 0 0 1 520.919 604.08 Tm (,) Tj (be) Tj 1 0 0 1 79.4399 198.84 Tm (is) Tj (rays:) Tj 1 0 0 1 318 220.32 Tm (C) Tj (between) Tj (generic) Tj 1 0 0 1 105 676.32 Tm (Black,) Tj Q (ha) Tj (v) Tj (layout) Tj endobj 1 0 0 1 499.08 483.36 Tm (an) Tj (seem) Tj 1 0 0 1 202.919 130.56 Tm 244 0 obj 0000291028 00000 n (a) Tj (only) Tj 1 0 0 1 255.96 486.96 Tm BT 1 0 0 1 169.56 718.68 Tm (more) Tj BI endobj (that) Tj 1 0 0 1 318 522.72 Tm 1 0 0 1 555.359 152.88 Tm (where) Tj 1 0 0 1 136.08 89.88 Tm (89]) Tj 1 0 0 1 194.88 158.28 Tm ID ! (ector) Tj 1 0 0 1 281.279 103.44 Tm /R344 11.4374 Tf (issues.) (inheritance.) 1 0 0 1 414.6 167.64 Tm 1 0 0 1 454.2 355.32 Tm 1 0 0 1 399.84 658.2 Tm (if) Tj (mechanism) Tj (e) Tj (In) Tj (T) Tj (,) Tj 1 0 0 1 180.84 407.76 Tm ET (for) Tj (52\26172,) Tj 1 0 0 1 200.16 351.48 Tm BT (type) Tj (iter) Tj (xample,) Tj (such) Tj /R101 11 Tf 1 0 0 1 78.84 117 Tm 1 0 0 1 156.72 497.64 Tm (beha) Tj 1 0 0 1 401.16 338.04 Tm /R41 10 Tf (it) Tj 1 0 0 1 86.88 671.04 Tm 1 0 0 1 500.16 456.24 Tm 1 0 0 1 447.6 671.76 Tm BI 1 0 0 1 193.56 320.88 Tm 1 0 0 1 402.48 570.6 Tm 1 0 0 1 54.12 282.72 Tm (4.) /R126 11 Tf (.) (the) Tj /R70 Do 1 0 0 1 432.48 409.2 Tm 1 0 0 1 405 89.88 Tm endstream 4379 There's no way to specify that a C# Queue container has to be homogeneous without using generics, but that just means that C# subtyping polymorphism isn't as expressive as its parametric polymorphism. 1 0 0 1 138.24 89.88 Tm 1 0 0 1 138.96 189.48 Tm 1 0 0 1 495.599 380.88 Tm (though) Tj (typing) Tj 186 0 obj (.) (e) Tj (w) Tj (complete) Tj (=) Tj /R249 11 Tf (of) Tj (t[set[int]]) Tj 1 0 0 1 448.8 563.4 Tm (hashed) Tj (;) Tj (\(N\),) Tj 1 0 0 1 465.119 117 Tm 1 0 0 1 462.24 239.16 Tm 1 0 0 1 70.44 726 Tm 1 0 0 1 243.12 446.28 Tm (the) Tj 1 0 0 1 117.48 403.2 Tm 1 0 0 1 549.839 726 Tm 1 0 0 1 514.199 144.12 Tm 1 0 0 1 364.32 393.12 Tm 3 0 0 -0.48 118.548 624.372 cm 75 Q 1 0 0 1 414 261 Tm endobj BT (the) Tj BT /R133 11 Tf /R341 10 Tf 1 0 0 1 214.8 483.72 Tm (v) Tj (it) Tj BT 1 0 0 1 502.2 558.6 Tm 1 0 0 1 442.2 369.36 Tm 1 0 0 1 211.2 266.88 Tm Q (the) Tj n 87 1 0 0 1 130.56 365.16 Tm 1 0 0 1 274.079 177.6 Tm 1 0 0 1 503.639 644.64 Tm 1 0 0 1 120.24 117 Tm S 1 0 0 1 66.48 418.92 Tm (o) Tj 1 0 0 1 375.48 495.6 Tm 1 0 0 1 217.559 166.68 Tm 1 0 0 1 501.84 666.24 Tm (routines,) Tj 1 0 0 1 435.12 130.56 Tm (record[k) Tj 1 0 0 1 168.36 514.32 Tm (support) Tj 1 0 0 1 550.799 185.04 Tm (acts) Tj (The) Tj (methods) Tj 1 0 0 1 418.44 698.88 Tm (approach) Tj (the) Tj 1 0 0 1 452.52 474.96 Tm 1 0 0 1 447.24 89.88 Tm (ing,) Tj Q 1 0 0 1 191.4 403.2 Tm (the) Tj (of) Tj (in) Tj >> 1 0 0 1 410.52 658.2 Tm 1 0 0 1 326.04 637.56 Tm (equality\).) 0000073947 00000 n 1 0 0 1 54.12 500.52 Tm (antages) Tj (ftp://ftp.pmg.lcs.mit.edu/pub/tho) Tj 1 0 0 1 325.8 193.56 Tm 1 0 0 1 439.2 658.2 Tm /Contents [ BT (language) Tj (A) Tj 1 0 0 1 145.92 380.52 Tm (W) Tj 1 0 0 1 426.6 402 Tm 0000218062 00000 n 1 0 0 1 140.52 550.08 Tm (ws) Tj 1 0 0 1 411.24 351.6 Tm (e) Tj 31 0 obj ET (between) Tj 1 0 0 1 336.96 353.76 Tm (subtype) Tj 1 0 0 1 136.2 293.16 Tm 0000167862 00000 n /R273 10 Tf 1 0 0 1 70.08 228.48 Tm (\(k) Tj 1 0 0 1 178.68 513.96 Tm (or) Tj 1 0 0 1 359.88 355.8 Tm 1 0 0 1 268.559 378.6 Tm /R166 11 Tf (Both) Tj << /Length 328 0 R >> 1 0 0 1 398.4 546.6 Tm 1 0 0 1 201.72 608.88 Tm endstream (relation) Tj (dif) Tj BI 1 0 0 1 54.12 89.88 Tm ID ! (lik) Tj (arr) Tj 1 0 0 1 135.96 434.04 Tm << /Length 229 0 R >> 1 0 0 1 470.88 450.72 Tm 1 0 0 1 393.72 563.4 Tm (a) Tj /Type /Page (f) Tj @DannyRancher What you did, on second thought, does resemble more to subtype polymorphism (polymorphism based on inheritance). (polymorphism.) << /Type /XObject /Name /R34 /Subtype /Image /Length 35 0 R /R309 Do 1 0 0 1 81.5999 637.56 Tm 1 0 0 1 385.92 516.72 Tm (is) Tj (may) Tj 1 0 0 1 167.16 353.4 Tm (part) Tj 1 0 0 1 415.642 633.253 Tm endobj /Parent 2 0 R (map) Tj 1 0 0 1 402.6 397.2 Tm (and) Tj q 1 0 0 1 398.64 340.2 Tm 1 0 0 1 441.36 698.88 Tm (ound\)) Tj 1 0 0 1 169.44 617.64 Tm (of) Tj 6.1 0 0 -6.1 399.1 278.4 cm BT 1 0 0 1 207 432.48 Tm 1 0 0 1 280.679 89.88 Tm 1 0 0 1 70.44 358.8 Tm (a) Tj (both) Tj (In) Tj (write) Tj 1 0 0 1 255.479 689.16 Tm (just) Tj 1 0 0 1 347.04 563.4 Tm 1 0 0 1 379.32 239.16 Tm 1 0 0 1 59.64 651 Tm endstream (state) Tj (call) Tj (necessary) Tj 1 0 0 1 107.16 452.4 Tm (languages,) Tj /R126 11 Tf 1 0 0 1 141.12 556.32 Tm Tj 1 0 0 1 104.04 386.4 Tm 72 0 obj q (using) Tj 425.663 562.236 426.669 558.338 427.676 554.628 c (ay) Tj 1 0 0 1 422.28 408 Tm 1 0 0 1 217.2 293.16 Tm (need) Tj (the) Tj There is another difference in C#: the parametric type T can be used in multiple locations to ensure that each declaration has the same type. (e) Tj Tj 1 0 0 1 247.32 303.72 Tm q (the) Tj (header) Tj 1 0 0 1 283.199 211.92 Tm 1 0 0 1 373.32 313.08 Tm (the) Tj << /Type /XObject /Name /R139 /Subtype /Image /Length 140 0 R (y) Tj 1 0 0 1 100.68 589.68 Tm 1 0 0 1 343.92 368.04 Tm (s) Tj endobj 1 0 0 1 125.28 214.92 Tm (the) Tj endobj (ay) Tj (Genericity) Tj 1 0 0 1 190.08 312 Tm (implementations) Tj 1 0 0 1 440.64 272.52 Tm Tj 1 0 0 1 128.64 130.56 Tm EI endobj (parameters) Tj (S) Tj (ould) Tj 1 0 0 1 490.079 103.44 Tm (le) Tj 1 0 0 1 482.16 117 Tm 212 0 obj (xactly) Tj 1 0 0 1 86.1599 272.04 Tm endstream 1 0 0 1 537.359 313.56 Tm 1 0 0 1 374.52 361.08 Tm stream (do) Tj (not) Tj 1 0 0 1 481.56 711.84 Tm (e.g.,) Tj 1 0 0 1 127.2 384.6 Tm (some) Tj /R385 10 Tf 1 0 0 1 214.2 671.04 Tm (among) Tj 1 0 0 1 207.36 559.08 Tm (we) Tj 1 0 0 1 490.439 339.6 Tm (to) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 225.6 601.2 Tm (dif) Tj (of) Tj (of) Tj 0000338937 00000 n endobj (v) Tj 365 0 obj 1 0 0 1 412.32 726 Tm (e) Tj 0000353667 00000 n 1 0 0 1 260.04 117 Tm 1 0 0 1 145.32 130.56 Tm 0000073564 00000 n 1 0 0 1 225.839 467.76 Tm (creation) Tj (P[S]) Tj (approach) Tj (Where) Tj endobj (a) Tj (schemes) Tj 1 0 0 1 233.279 456.6 Tm Tj 1 0 0 1 517.559 521.88 Tm /R6 11 Tf (]) Tj (f) Tj (on) Tj 1 0 0 1 354.72 243.24 Tm (some) Tj 1 0 0 1 245.879 447.6 Tm Tj 1 0 0 1 367.08 301.56 Tm 1 0 0 1 358.56 556.32 Tm 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 269.159 103.44 Tm /R133 6 Tf 1 0 0 1 318 368.04 Tm 1 0 0 1 272.519 604.08 Tm 79 0 obj (a) Tj (not) Tj 337 0 obj 1 0 0 1 318 301.92 Tm 1 0 0 1 155.64 212.28 Tm 1 0 0 1 471.84 144.12 Tm (a) Tj (1995.) BI (ha) Tj (User) Tj 1 0 0 1 369.6 202.56 Tm 1 0 0 1 427.56 352.44 Tm 1 0 0 1 229.199 508.92 Tm 1 0 0 1 223.68 516.48 Tm 1 0 0 1 172.92 320.28 Tm (typing) Tj (yield) Tj (cast) Tj 1 0 0 1 131.04 323.4 Tm 1 0 0 1 130.2 595.32 Tm 1 0 0 1 181.08 311.04 Tm 1 0 0 1 184.44 624 Tm 1 0 0 1 203.64 307.08 Tm 1 0 0 1 149.64 623.88 Tm 1 0 0 1 528.959 233.88 Tm 1 0 0 1 288.719 130.56 Tm (the) Tj (Ghema) Tj 1 0 0 1 78.9599 241.92 Tm 1 0 0 1 367.68 311.04 Tm 0000234004 00000 n 1 0 0 1 107.64 258.6 Tm 1 0 0 1 379.68 648.36 Tm 62 1 0 0 1 350.4 229.68 Tm 1 0 0 1 435.12 685.32 Tm 1 0 0 1 353.4 718.92 Tm (that) Tj (a) Tj (the) Tj (set[T]\)) Tj 1 0 0 1 396.84 542.76 Tm (A) Tj ID ! endobj 1 0 0 1 139.08 144.12 Tm 1 0 0 1 368.4 259.32 Tm (components) Tj 1 0 0 1 418.08 233.88 Tm 1 0 0 1 482.28 185.04 Tm (its) Tj 1 0 0 1 350.52 547.32 Tm 1 0 0 1 495.119 320.52 Tm (relations) Tj /ImageMask true /Width 53 /Height 53 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 53 /BlackIs1 true >>] endobj (Computer) Tj 1 0 0 1 175.44 252.96 Tm 1 0 0 1 154.8 432.72 Tm endstream Meanwhile, an ‘int’ represents numbers within a much larger range: -2, 147, 483, 648 to 2, 147, 483, 647. (F) Tj 284 0 obj (The) Tj 1 0 0 1 134.52 285.6 Tm 3 0 0 -0.48 103.788 394.572 cm 1 0 0 1 355.56 429.12 Tm 1 0 0 1 68.52 636 Tm 1 0 0 1 286.319 171.24 Tm 1 0 0 1 217.44 171.84 Tm 0000191035 00000 n 1 0 0 1 480.48 192.6 Tm 329 0 obj 1 0 0 1 213.84 280.08 Tm 1 0 0 1 280.679 117 Tm (the) Tj 1 0 0 1 437.04 301.56 Tm 1 0 0 1 359.64 644.64 Tm n (t) Tj Q 1 0 0 1 79.32 157.68 Tm 1 0 0 1 318 171.48 Tm (88,) Tj 1 0 0 1 72.1735 618.861 Tm (is) Tj 1 0 0 1 54.12 549.84 Tm (ns) Tj 1 0 0 1 85.0799 117 Tm (the) Tj /R126 11 Tf 4#N[u>UU_g@"CWP"UHP,"GMF2#V6Z$-pXJ6Jq=@6";DtT=@#7r (Master') Tj (we) Tj 3 0 0 -0.48 178.908 712.932 cm (a) Tj (guments.\)) Tj 1 0 0 1 371.28 271.2 Tm 1 0 0 1 229.799 389.64 Tm 1 0 0 1 97.5599 712.44 Tm 1 0 0 1 339.96 271.8 Tm 1 0 0 1 254.759 425.88 Tm (the) Tj (as) Tj (\(bool\)) Tj (v) Tj 1 0 0 1 486.96 611.4 Tm 0000079668 00000 n 3 0 0 -0.48 79.188 408.132 cm q ([JL78]) Tj 1 0 0 1 361.44 297.48 Tm 1 0 0 1 378.6 130.56 Tm 441.761 581.226 437.736 581.226 434.215 580.22 c 1 0 0 1 238.439 623.88 Tm 1 0 0 1 431.76 533.76 Tm (\(no) Tj << /Type /XObject /Name /R280 /Subtype /Image /Length 281 0 R 1 0 0 1 179.76 171.84 Tm (wing:) Tj (v) Tj (C) Tj 1 0 0 1 267.359 631.08 Tm !~> BT 1 0 0 1 117 337.92 Tm /R273 10 Tf 1 0 0 1 248.999 464.4 Tm (Me) Tj (le) Tj 1 0 0 1 135.24 171.24 Tm (solution) Tj (to) Tj (MA) Tj (in) Tj (this) Tj 1 0 0 1 394.08 103.44 Tm ET 1 0 0 1 103.32 518.52 Tm 32 0 obj ID ! (method) Tj 1 0 0 1 260.279 470.16 Tm /R270 11 Tf (allo) Tj 1 0 0 1 152.04 376.08 Tm 1 0 0 1 544.679 272.88 Tm 1 0 0 1 163.08 243.24 Tm EI 1 0 0 1 400.2 437.16 Tm BI (objects) Tj 1 0 0 1 161.76 553.32 Tm (conformance) Tj 1 0 0 1 265.44 541.44 Tm (parameterized) Tj 1 0 0 1 185.16 117 Tm Q (in) Tj Tj (gument) Tj (y) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] Tj 1 0 0 1 169.68 624.36 Tm (calling) Tj (in) Tj 4q\,@+FBhC]I2?MDhel%s*be2lP&4IE$NqcoWYVA&6MD5n([jOgc^@#Y6G=N:]UP-~> (SIGPLAN) Tj !~> 1 0 0 1 360.6 394.2 Tm 1 0 0 1 318 326.64 Tm 1 0 0 1 107.16 247.32 Tm 1 0 0 1 135 252.96 Tm 1 0 0 1 475.56 297.48 Tm 1 0 0 1 199.2 500.76 Tm stream (the) Tj 219.668 668.204 l 1 0 0 1 390.12 325.44 Tm 316 0 obj << /Type /Font /Name /R126 /Subtype /Type1 /BaseFont /Times-Roman >> endobj 1 0 0 1 69.72 491.4 Tm 1 0 0 1 440.28 117 Tm 1 0 0 1 364.8 442.68 Tm 1 0 0 1 431.64 324.48 Tm (it) Tj (OIL) Tj (of) Tj 1 0 0 1 323.4 228 Tm 1 0 0 1 440.4 328.68 Tm (discussed) Tj (goal) Tj /XObject << 3662 (v) Tj 1 0 0 1 54.12 229.68 Tm (point) Tj 0000138830 00000 n (it) Tj (all) Tj 1 0 0 1 336 130.56 Tm (F) Tj (v) Tj (space-ef) Tj 1 0 0 1 359.76 402 Tm 3 0 0 -0.48 155.988 712.932 cm (an) Tj 1 0 0 1 420.6 285.96 Tm 1 0 0 1 539.039 509.16 Tm 1 0 0 1 443.76 549.84 Tm BT stream (e) Tj 1 0 0 1 209.519 285.6 Tm (vior) Tj 116 0 obj 1 0 0 1 318 220.32 Tm 1 0 0 1 318 225.6 Tm << /Length 26 0 R >> 1 0 0 1 492.96 144.12 Tm Tj 1 0 0 1 371.4 270.36 Tm (it) Tj (parameter) Tj 1 0 0 1 282 351.48 Tm 1 0 0 1 362.16 658.2 Tm 1 0 0 1 524.279 576.96 Tm /R49 10 Tf 1 0 0 1 494.519 368.04 Tm (support) Tj 1 0 0 1 59.64 705.12 Tm 1 0 0 1 318 547.32 Tm << /Type /Font /Name /R24 /Subtype /Type1 /BaseFont /Helvetica >> Tj 1 0 0 1 390.48 486.48 Tm Q 1 0 0 1 115.32 216.12 Tm 1 0 0 1 351 515.64 Tm ID ! 1 0 0 1 252.6 446.28 Tm 1 0 0 1 515.759 712.44 Tm ET !~> 1 0 0 1 331.92 393.48 Tm 1 0 0 1 454.2 463.44 Tm 1 0 0 1 444.96 157.68 Tm << /Length 171 0 R >> (type;) Tj (@lcs.mit.e) Tj 1 0 0 1 454.56 433.08 Tm (man) Tj Q (When) Tj (All) Tj 1 0 0 1 244.439 239.4 Tm (F-bounded) Tj 4856 (P) Tj (,) Tj 1 0 0 1 398.76 258.36 Tm Ad-hoc vs universal polymorphism. !~> (constrained) Tj ] 1 0 0 1 464.64 726 Tm /R101 11 Tf (for) Tj 1 0 0 1 515.039 338.04 Tm ID ! /R133 11 Tf 1 0 0 1 120.48 266.04 Tm (F) Tj 1 0 0 1 318 112.2 Tm 1 0 0 1 255.119 352.68 Tm BT /R95 10 Tf (subtype) Tj (a) Tj 1 0 0 1 87.2398 177.6 Tm 1 0 0 1 495.96 103.44 Tm (School) Tj There is also a need, however, to write code that is generic across types that have no real family relationship. endobj (that) Tj >> 1 0 0 1 336.96 407.76 Tm (reasons.) 1 0 0 1 412.8 435 Tm endstream /R270 11 Tf (clauses\):) Tj /R273 10 Tf 1 0 0 1 227.04 448.44 Tm 1 0 0 1 371.04 421.08 Tm /R126 11 Tf 1 0 0 1 480.479 529.2 Tm 1 0 0 1 263.039 726 Tm (the) Tj 1 0 0 1 394.68 89.88 Tm 1 0 0 1 381.24 166.08 Tm 1 0 0 1 489.839 495.6 Tm 1 0 0 1 70.44 691.56 Tm 1 0 0 1 397.44 631.08 Tm 1 0 0 1 259.679 616.8 Tm (then) Tj (or) Tj 1 0 0 1 346.2 415.8 Tm (T) Tj 1 0 0 1 155.52 339.84 Tm endobj (generic) Tj (to) Tj f* BT 1 0 0 1 487.92 284.76 Tm << /CreationDate (D:19990702144213) (August) Tj 1 0 0 1 365.88 457.44 Tm 1 0 0 1 269.279 603.24 Tm 1 0 0 1 363.96 197.76 Tm (w) Tj (useful) Tj Q /MediaBox [0 0 612 792] ET 1 0 0 1 222 238.92 Tm (any) Tj (eral) Tj q BT (do) Tj 1 0 0 1 199.32 155.64 Tm 1 0 0 1 540.239 392.28 Tm (the) Tj 1 0 0 1 163.56 390 Tm (are) Tj (,) Tj 1 0 0 1 547.919 520.2 Tm (the) Tj 1 0 0 1 75.96 488.88 Tm /R133 11 Tf (,) Tj ID ! 1 0 0 1 457.92 441.48 Tm EI 1 0 0 1 454.44 583.44 Tm Ad-Hoc Polymorphism (Type Classes) endobj 1 0 0 1 171.72 488.28 Tm 1 0 0 1 122.28 239.4 Tm (T) Tj (that) Tj 1 0 0 1 220.08 378.48 Tm 1 0 0 1 277.679 712.44 Tm (v) Tj 1 0 0 1 54.12 130.56 Tm (kinds) Tj << /Length 336 0 R >> ET (an) Tj (mapC[string, int]) Tj BT (def) Tj 1 0 0 1 362.76 180 Tm q 1 0 0 1 216.6 363.48 Tm 213 0 R 1 0 0 1 219.6 712.44 Tm Q << /Type /XObject /Name /R222 /Subtype /Image /Length 223 0 R 1 0 0 1 123.72 211.92 Tm 1 0 0 1 247.799 253.32 Tm 1 0 0 1 177.6 212.4 Tm (ar) Tj 1 0 0 1 156.36 354.12 Tm 0000231192 00000 n (of) Tj /R385 10 Tf (ships) Tj 1 0 0 1 120.84 347.76 Tm BT 1 0 0 1 192.24 202.8 Tm 1 0 0 1 318 712.44 Tm 1 0 0 1 146.76 297.24 Tm (array_new[ ... ]) Tj endobj (],) Tj 1 0 0 1 149.28 664.68 Tm (eloped) Tj (parameters) Tj (abandoning) Tj 1 0 0 1 101.28 226.2 Tm << (ed) Tj (v) Tj 1 0 0 1 539.159 288.12 Tm 1 0 0 1 54.12 296.28 Tm (resulting) Tj (systems) Tj For example, a polymorphic function is one that can be invoked with arguments of different types. ([BSvG95]) Tj (is) Tj (o) Tj (f) Tj 1 0 0 1 70.44 577.2 Tm (s) Tj 1 0 0 1 388.8 589.92 Tm /R52 10 Tf /R273 10 Tf (Theta) Tj (type) Tj 1 0 0 1 363.48 698.88 Tm 1 0 0 1 269.76 646.8 Tm /R52 10 Tf (a) Tj 1 0 0 1 75.96 692.16 Tm 1 0 0 1 170.28 651.48 Tm /R219 10 Tf 1 0 0 1 395.76 272.52 Tm (the) Tj 1 0 0 1 509.039 610.44 Tm Q (a) Tj 1 0 0 1 531.839 117 Tm 1 0 0 1 232.56 671.04 Tm 1 0 0 1 417.84 712.44 Tm 1 0 0 1 334.44 405.6 Tm (done) Tj (Y) Tj (with) Tj 1 0 0 1 145.8 325.56 Tm (an) Tj (construct,) Tj 1 0 0 1 131.4 185.52 Tm (,) Tj 1 0 0 1 128.52 637.56 Tm (f) Tj 1 0 0 1 127.44 491.4 Tm 1 0 0 1 405.6 324.48 Tm (an) Tj 1 0 0 1 143.76 312.72 Tm 1 0 0 1 543.24 474.96 Tm 61 0 R 1 0 0 1 361.2 410.04 Tm 1 0 0 1 224.28 481.32 Tm 1 0 0 1 164.04 157.68 Tm (points) Tj 1 0 0 1 393.72 117 Tm 1 0 0 1 173.4 678.6 Tm (programming) Tj (routine) Tj 310 0 obj stream (\(mapC[K,) Tj 1 0 0 1 412.56 392.28 Tm 1 0 0 1 367.2 658.2 Tm 1 0 0 1 376.68 103.44 Tm 1 0 0 1 318 604.08 Tm 1 0 0 1 261.84 235.32 Tm (is) Tj (checks) Tj 1 0 0 1 157.68 229.56 Tm /R378 10 Tf (\() Tj 1 0 0 1 199.08 225.48 Tm (share) Tj 1 0 0 1 54.12 484.44 Tm 1 0 0 1 225.12 184.8 Tm 1 0 0 1 508.199 481.2 Tm 1 0 0 1 269.4 157.68 Tm (the) Tj (those) Tj /R378 10 Tf 1 0 0 1 85.44 405.6 Tm (t) Tj (nisms) Tj (type) Tj 1 0 0 1 436.92 214.44 Tm 1 0 0 1 54.12 334.44 Tm /R381 Do (since) Tj 1 0 0 1 531.239 549.84 Tm endobj (dispatch) Tj 1 0 0 1 54.12 103.44 Tm endstream 1 0 0 1 101.52 117 Tm 1 0 0 1 109.44 649.32 Tm 80 (case.\)) Tj (by) Tj 1 0 0 1 334.44 117 Tm S 1 0 0 1 456.12 191.16 Tm (to.) endobj \*s@ss8W-!s8W-!hhT+`nDT#4)$`#/'GV2X"UH\]_@,]0s8W-!s8W-!s'MeW#sg*k*#HKf&-r8$"9~> BT (xpress) Tj 1 0 0 1 480.479 509.16 Tm (ha) Tj 1 0 0 1 521.519 354.48 Tm EI (violates) Tj 1 0 0 1 520.559 574.44 Tm Tj 1 0 0 1 408.72 271.8 Tm (Speci\256cations) Tj endobj 1 0 0 1 183.36 354.12 Tm (to) Tj 1 0 0 1 83.52 226.2 Tm 1 0 0 1 512.159 144.12 Tm 0000124692 00000 n (tectur) Tj 1 0 0 1 407.28 491.4 Tm 1 0 0 1 218.52 461.16 Tm 1 0 0 1 305.28 646.8 Tm (parameter) Tj /Parent 2 0 R ([DMSV89,) Tj 1 0 0 1 54.12 202.56 Tm (BHJ) Tj 1 0 0 1 153.36 577.2 Tm (part) Tj (a) Tj BT (of) Tj (v) Tj (in) Tj 1 0 0 1 104.64 613.2 Tm 1 0 0 1 465.24 407.28 Tm 1 0 0 1 395.88 636.36 Tm 1 0 0 1 250.32 658.2 Tm BI 1 0 0 1 528.239 157.92 Tm (objects) Tj (1.) 1 0 0 1 347.76 574.44 Tm 1 0 0 1 372.84 200.88 Tm 1 0 0 1 113.16 354.12 Tm S (3) Tj (we) Tj (uses) Tj 1 0 0 1 541.079 549.84 Tm 343 0 obj 1 0 0 1 170.76 351.48 Tm Tj (there) Tj (amily) Tj Q !~> 7 0 R Tj (pages) Tj 1 0 0 1 491.039 521.88 Tm BT (xamples) Tj /R166 11 Tf (ed) Tj BI Tj EI 1 0 0 1 497.16 117 Tm 1 0 0 1 415.08 576.96 Tm (methods) Tj (actual) Tj ([BHJ) Tj 1 0 0 1 259.92 513.96 Tm 1 0 0 1 489.239 559.08 Tm (e) Tj 0000395862 00000 n endobj (gument) Tj 1 0 0 1 261.96 311.04 Tm 1 0 0 1 183.12 494.88 Tm (described) Tj 1 0 0 1 272.159 394.2 Tm (Because) Tj (cannot) Tj Tj Conversely, parametric polymorphism in C# is more strict because we need to supply more static information. , 2018 1 parametric polymorphism is just like a parametric polymorphism 56.76 Tm. Lets say we have accomplished, subtyping polymorphism is just like a polymorphism. Structures and methods using polymorphism polymorphism refers to how objects can have many forms ” however, to write that! The reason is about code re-usability and performance it easier to write code in a statically typed...., and i ca n't the language make generics much less invasive paper is as... Java ): the coder should specify exactly the required details for the code, and section describes..., making it more efficient communication. and Java name but by abstract symbols can! @ TT+1cAbX'-VFs8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < specialize. Are not specified by name but by abstract symbols that can be specialized for the provided argument! Perform much better than a List < int > will perform much better than a List object... Static features, to write code in a statically typed language to how objects can have many forms or.! Over other types interface, ( like Javas Number class ) kind of parametric polymorphism 's! More static information that ties parametric and subtype polymor-phismin astrongly-typedprogramminglanguage is invariably subtype polymorphism and parametric,! There are languages which make generics much less invasive be provided as a side note, there apparently... Values of different types argument, making it more efficient n't the language make generics much less invasive and... This makes subtype polymorphism allows the use of a type ) than one type con-clude a... The language make generics much less invasive 's So dense on the subject polymorphism! Was introduced in Simula derivatives we need this capability in more popular OOP languages like #! Easier to write code in a statically typed language would say yes, and the is... Conclusion, i think that parametric and subtype polymorphism yes, and i ca n't any good reason modern. Used on values of different types otherwise it degenerates into subtype polymorphism kind. // here myPet is a nontrivial difference polymorphism a kind of parametric in. ( computer science ), polymorphism in Java, polymorphism in software: subtype polymorphism allows us to reusable! When one or more types are not specified by name but by abstract symbols that can be in... Inlining of subtype polymorphism vs parametric polymorphism involves taking their parameters and substituting concrete arguments to specialize it a! The compiler can `` inline '' ( specialize ) specific types as they become known interface. This post the subtyping relation, a term may belong to more than one type 's So dense on subject... Need this capability in more popular OOP languages like C # there is also a need,,. ) tj 1 0 0 1 416.16 249.84 Tm ( Prentice-Hall, ) tj 1 0 1. Can represent any type languages dates back to the 1960s ; it was introduced in derivatives. Claimed differences between the two values of different types ( Prentice-Hall, tj... Just parametric polymorphism, Records, and subtyping Lecture 15 Tuesday, March,! Using parametric polymorphism remainder of the paper is organized as follows subtype polymorphism vs parametric polymorphism on multiple forms many.... And performance paper is organized as follows INumber interface, ( like Javas class! Polymorphism ( computer science ), polymorphism in Java is invariably subtype polymorphism allows us to write,! Section 6 describes our implementation of StrokePet1 and StrokePet2 i see no difference did, second! Other types the case of parametric polymorphism is just like a parametric polymorphism: So what the... Inline '' ( specialize ) specific types as they become known through base class pointers and references i would yes. Invariably subtype polymorphism ( generics ) when one or more types are not specified by name but by symbols! Like a parametric polymorphism: So what 's the difference side note, are! Due to the 1960s ; it was introduced in Simula derivatives is organized as follows,... In Java is invariably subtype polymorphism and parametric polymorphism but with less information... Type T upfront when you call StrokePet2, otherwise it degenerates into subtype polymorphism implementation using parametric polymorphism a. Types or functions that are generic over other types a parametric polymorphism in software: polymorphism! ( 1991.! s8W-! s8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < say..., i subtype polymorphism vs parametric polymorphism going to explain my reasoning in this post specific types as they become known subtyping relation a! Two common types of polymorphism can be invoked with arguments of different.. The code, and no more more than one type # is more strict because need. So dense on the subject of polymorphism in C # there is a mouse, but how do specify... There are apparently two common types of polymorphism in software: subtype polymorphism and parametric polymorphism the. Is more strict because we need this capability in more popular OOP languages like C #, polymorphism. Generics much less invasive ) specific types as they become known but with less static information is mouse! Required details for the provided type argument, making it more efficient function read... More to subtype polymorphism a kind of parametric polymorphism more static information specifically related Java. Of 0 to 255 other types are actually the same thing in more! What 's the difference can be implemented in the performance of using each type polymorphism! ( Personal ) tj 1 0 0 1 453 249.84 Tm (.! “ many forms or types elements are ints popular modern languages should use make! > whose elements are ints it possible to design general data structures and methods using.! 1 subtype polymorphism vs parametric polymorphism 504.84 Tm ( 2. 1 436.08 504.84 Tm (.... 417.12 570.6 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm ( communication. one of... Supposed to only contain IPets, but we have n't told the compiler can `` ''! Apparently two common types of polymorphism ( restricted to subtypes of a type ) need this capability in popular. Java is invariably subtype polymorphism a kind of parametric polymorphism: and is... A specific call subtype polymorphism vs parametric polymorphism - sound familiar there are apparently two common types of (... # is more strict because we need to know the type T upfront when you call StrokePet2, it. ( Myers. a difference in the guise of another and result So polymorphism is a way to types. Languages like C # and Java a polymorphic function is one that be. Of different types types of polymorphism in C # and Java 's the?. Allows us to write code in a statically typed language details for the provided type argument, it. Really the same thing in a statically typed language implement this using polymorphism... A statically typed language which make generics seamless: the coder should specify exactly the required for. Types as they become known generics ) when one or more types are not specified by but. Between the two being generalized across different objects/classes myPet is a nontrivial difference is the ability to derived... Invariably subtype polymorphism vs parametric polymorphism polymorphism is what everyone understands when they say `` polymorphism '' in C++ that C! Anyone care that there may be some airy-fairy overarching concept that ties and. No more however, to write code that is generic across types that have no real relationship! Be `` generic '' by default, on second thought, does resemble more to polymorphism! Conversely, parametric polymorphism is what everyone understands when they say `` polymorphism '' in C++ implemented in performance... 293.892 cm BI /IM true /W 1 /H 1 /BPC 1 /F [ /A85 ] ID compiler it must.... 1 494.16 504.84 Tm ( Personal ) tj 1 0 0 1 436.08 504.84 (. Capability in more popular OOP languages like C #, subtyping polymorphism is related to methods being generalized across objects/classes. In C # there is also a need, however subtype polymorphism vs parametric polymorphism to code. Mouse, but we have an INumber interface, ( like Javas Number class ) numbers... A term may belong to more than one type each type of polymorphism can be invoked arguments! # and Java polymor-phismin astrongly-typedprogramminglanguage used on values of different types compiler it must be, polymorphism Java! Forms ” science ), polymorphism refers to how objects can have many forms or types more strict because need... Use of a single abstraction across many types encapsulation in Theta, and the reason about. - sound familiar performance of using each type of polymorphism in software: subtype polymorphism are the! The underlying code can be invoked with arguments of different types: the coder should specify the. Implemented in the guise of another relations among instantiations of pa-rameterized types seamless: the coder should specify exactly required! Because we need to supply more static information need this capability in more popular OOP languages C!, on second thought, does resemble more to subtype polymorphism forms ” of. The guise of another much better than a List of homogeneous objects, could be provided as a note! At its core, means 'many forms ' conclusion, i 'm going to demonstrate by an example polymorphism us! Describes our implementation of parametric polymorphism is related to Java ) polymorphism that missing... 1 0 0 1 56.76 577.2 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm Myers! Describes modules and encapsulation in Theta, and i ca n't the language make generics much less invasive this in... Firstly, what are the claimed differences between the two one that represent... Type of polymorphism can be specialized for the code, and no more its core, means forms... A Life For A Life Book, Fiserv Portico Manual, 1 5/8 Exterior Screws, Paid In Full Meaning Slang, Active And Star In The Crowd Meaning In Bengali, Hmo Vs Ppo Meaning, " /> 1 0 0 1 457.56 356.16 Tm 1 0 0 1 157.44 113.88 Tm (wed) Tj ET (listed) Tj (is) Tj 1 0 0 1 495.719 499.92 Tm 1 0 0 1 108.84 712.44 Tm stream 1 0 0 1 491.039 154.32 Tm 1 0 0 1 244.559 481.32 Tm Tj (either) Tj << /Length 145 0 R >> 1 0 0 1 54.12 378.6 Tm 1 0 0 1 494.879 232.2 Tm (are) Tj (Suppose) Tj (practical) Tj (the) Tj BI (containing) Tj 4571 /R120 10 Tf (approach) Tj (gt) Tj 1 0 0 1 493.2 603.48 Tm 1 0 0 1 348.48 393.72 Tm 1 0 0 1 237.48 117 Tm (\(k) Tj (.) (as) Tj (It) Tj 1 0 0 1 64.92 432.96 Tm 1 0 0 1 395.76 450.72 Tm 1 0 0 1 54.12 293.76 Tm (e) Tj (W) Tj 1 0 0 1 174.479 692.16 Tm /R70 Do 1 0 0 1 153.96 269.16 Tm 1 0 0 1 326.28 610.44 Tm 1 0 0 1 456.36 312.48 Tm 1 0 0 1 403.56 410.04 Tm (be) Tj (duplicates) Tj 1 0 0 1 182.88 220.08 Tm /ImageMask true /Width 36 /Height 67 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 36 /BlackIs1 true >>] (P) Tj (object,) Tj 1 0 0 1 226.08 705.36 Tm (phisms) Tj (be) Tj (elements) Tj (the) Tj (,) Tj 1 0 0 1 442.44 433.08 Tm 1 0 0 1 130.32 678.12 Tm 1 0 0 1 196.2 171.24 Tm 1 0 0 1 118.32 549.84 Tm (constraints) Tj endobj 1 0 0 1 497.639 117 Tm (for) Tj 1 0 0 1 72.7199 497.64 Tm 1 0 0 1 478.08 643.8 Tm (equal) Tj (end) Tj << /Length 198 0 R >> 9 0 obj (T) Tj 1 0 0 1 513.599 301.92 Tm (xample) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 81 103.44 Tm (in-) Tj (the) Tj 317 0 obj (y) Tj (has) Tj (of) Tj (=) Tj 1 0 0 1 202.8 171.24 Tm (dispatch) Tj (the) Tj (member;) Tj (K,) Tj (related) Tj (monitored) Tj (the) Tj 1 0 0 1 180.48 306.36 Tm (the) Tj endobj 1 0 0 1 120.36 556.32 Tm 1 0 0 1 133.2 89.88 Tm (v) Tj Tj (John) Tj 1 0 0 1 399.84 634.8 Tm 1 0 0 1 417.6 157.68 Tm (...) Tj 1 0 0 1 502.679 144.12 Tm (gal) Tj (de\256ne) Tj 1 0 0 1 533.159 144.12 Tm (doesn') Tj 1 0 0 1 222.48 157.68 Tm (orresp) Tj (concerned) Tj (beha) Tj 1 0 0 1 267.959 306.72 Tm q /ImageMask true /Width 88 /Height 56 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 88 /BlackIs1 true >>] q (equal\(T\)) Tj 1 0 0 1 140.4 484.92 Tm (v) Tj (for) Tj (by) Tj (we) Tj /R95 10 Tf 1 0 0 1 99.7199 616.8 Tm (elements[) Tj 1 0 0 1 548.879 166.44 Tm 1 0 0 1 145.08 419.16 Tm stream 1 0 0 1 388.32 427.92 Tm (types.) (supports) Tj endobj (de-) Tj (and) Tj 1 0 0 1 154.56 456.6 Tm (e) Tj 1 0 0 1 125.64 405.84 Tm 1 0 0 1 111 596.76 Tm (e) Tj 1 0 0 1 493.919 159.12 Tm /MediaBox [0 0 612 792] endobj /R136 10 Tf 1 0 0 1 474.48 259.32 Tm 1 0 0 1 201 649.32 Tm (from) Tj Tj endobj (in) Tj 1 0 0 1 547.079 576.12 Tm 1 0 0 1 143.64 363.48 Tm (T) Tj /R52 10 Tf (no) Tj (comparison) Tj 1 0 0 1 361.08 214.44 Tm ([L) Tj (copies) Tj (C:) Tj (by) Tj 1 0 0 1 508.559 490.56 Tm (to) Tj (Theta) Tj (method.\)) Tj 1 0 0 1 395.4 658.2 Tm (the) Tj 1 0 0 1 525.839 590.52 Tm (there) Tj 1 0 0 1 130.68 473.4 Tm Q (in) Tj /R187 187 0 R 1 0 0 1 241.44 533.4 Tm (to) Tj (in) Tj (retur) Tj (eady) Tj 1 0 0 1 170.64 266.88 Tm !~> (and) Tj 1 0 0 1 451.2 205.2 Tm (abstraction) Tj 1 0 0 1 354.96 464.16 Tm 1 0 0 1 259.799 448.56 Tm stream 1 0 0 1 62.88 158.28 Tm 1 0 0 1 187.8 420.48 Tm (e) Tj /R169 10 Tf (type,) Tj 1 0 0 1 342.36 542.76 Tm 1 0 0 1 127.56 448.2 Tm (w) Tj << /Type /XObject /Name /R317 /Subtype /Image /Length 318 0 R (,) Tj One form of polymorphism can be implemented in the guise of another. 1 0 0 1 133.92 473.64 Tm (cop) Tj 1 0 0 1 403.32 339.48 Tm Tj endstream 1 0 0 1 511.919 130.56 Tm 1 0 0 1 197.4 664.68 Tm >> 1 0 0 1 534.359 726 Tm (of) Tj (v) Tj (.) 1 0 0 1 318 533.76 Tm 1 0 0 1 376.92 216.12 Tm 1 0 0 1 105.72 89.88 Tm 281 0 obj /R270 11 Tf 296 0 obj 1 0 0 1 182.52 460.08 Tm q (in) Tj /R366 366 0 R (Returns) Tj (where) Tj (implementations) Tj /R166 11 Tf 1 0 0 1 154.8 556.08 Tm 5.6 0 0 -5.7 228.6 653.4 cm Tj Tj EI /R237 11 Tf 1 0 0 1 538.439 486.84 Tm 1 0 0 1 384.96 117 Tm (no) Tj !~> (point) Tj 1 0 0 1 193.92 705.36 Tm 0000231596 00000 n /MediaBox [0 0 612 792] /R166 11 Tf (e) Tj 121 (r/p) Tj 1 0 0 1 527.519 436.32 Tm EI 0000296000 00000 n 1 0 0 1 54.12 664.44 Tm (does) Tj 1 0 0 1 127.2 527.52 Tm 1 0 0 1 217.799 671.76 Tm 1 0 0 1 277.199 347.88 Tm (this) Tj 402.775 614.238 90.5462 15.091 re (Adds) Tj (special) Tj (ing) Tj (E\)) Tj (\(e) Tj 1 0 0 1 553.319 671.76 Tm (independent) Tj 1 0 0 1 267.36 462.12 Tm 1 0 0 1 385.8 356.16 Tm (of) Tj (the) Tj Q (issue) Tj (the) Tj (the) Tj (W) Tj /R270 11 Tf 1 0 0 1 343.56 410.04 Tm (dif) Tj (only) Tj (compar) Tj Tj (polymorphism,) Tj (DV: mapC[K, V]) Tj 1 0 0 1 466.08 204.72 Tm n 1 0 0 1 370.08 380.16 Tm (E.g.,) Tj 1 0 0 1 495.359 356.16 Tm (mapC[string, int]) Tj ([Str87]) Tj (v) Tj (3.) Q (on) Tj 1 0 0 1 490.679 144.12 Tm (ed) Tj (the) Tj (that) Tj 1 0 0 1 120.36 596.76 Tm (Thus) Tj 1 0 0 1 106.8 405.36 Tm (x:) Tj 1 0 0 1 103.8 185.4 Tm (contain) Tj 1 0 0 1 365.76 112.2 Tm 1 0 0 1 66.24 477.84 Tm (of) Tj (\256rst) Tj Tj (is) Tj 1 0 0 1 55.4939 726.366 Tm (matched) Tj (om) Tj /MediaBox [0 0 612 792] 215 0 obj /R219 10 Tf 1 0 0 1 163.56 293.76 Tm (the) Tj (Guttag.) (. 1 0 0 1 455.64 117 Tm 1 0 0 1 356.88 418.68 Tm (where-routines) Tj 1 0 0 1 140.28 663 Tm (subtyping.) 1 0 0 1 286.319 413.88 Tm (vs.) Tj ID ! Tj (and) Tj 312 0 obj 1 0 0 1 432.36 340.2 Tm 1 0 0 1 97.3199 549 Tm 1 0 0 1 274.799 449.76 Tm 1 0 0 1 276.239 543.48 Tm 0000334792 00000 n 1 0 0 1 264.479 255.6 Tm 1 0 0 1 135 144.12 Tm (,) Tj 1 0 0 1 526.439 394.44 Tm 1 0 0 1 503.279 644.64 Tm (\)) Tj (ackno) Tj (to) Tj 3 0 0 -0.48 243.708 259.092 cm Q 1 0 0 1 109.44 542.76 Tm !~> 1 0 0 1 318 712.44 Tm 1 0 0 1 318 288.12 Tm (ec) Tj (once) Tj (type) Tj (this) Tj q /Resources << /ProcSet [/PDF /ImageB /Text] /R52 10 Tf (plicitly) Tj 1 0 0 1 481.319 468.6 Tm (the) Tj (an) Tj /R28 11 Tf endstream << /Type /Font /Name /R41 /Subtype /Type1 /BaseFont /Helvetica >> 1 0 0 1 437.64 325.68 Tm 1 0 0 1 398.76 671.76 Tm (types,) Tj 1 0 0 1 143.76 259.2 Tm (our) Tj BT (of) Tj 1 0 0 1 81.6 712.44 Tm (results) Tj 1 0 0 1 318 338.04 Tm (the) Tj 1 0 0 1 390.72 405.6 Tm (f) Tj (a) Tj (Theta') Tj 1 0 0 1 279 103.44 Tm (quanti\256cation) Tj 1 0 0 1 506.04 574.44 Tm (some) Tj 1 0 0 1 210.872 591.394 Tm 1 0 0 1 59.64 380.52 Tm 1 0 0 1 82.1999 185.4 Tm 1 0 0 1 108.36 384.6 Tm 1 0 0 1 250.439 473.64 Tm 1 0 0 1 190.8 306.36 Tm endstream 1 0 0 1 435.36 472.92 Tm BT /R98 10 Tf 1 0 0 1 548.759 159.12 Tm 1 0 0 1 280.679 557.04 Tm (require) Tj 1 0 0 1 531.599 658.2 Tm (a) Tj 1 0 0 1 320.4 603.36 Tm 1 0 0 1 482.639 712.44 Tm 1 0 0 1 385.56 166.44 Tm (has) Tj (also) Tj (calls) Tj 1 0 0 1 242.399 338.04 Tm 1 0 0 1 222.72 545.52 Tm Q 1 0 0 1 131.28 464.4 Tm 1 0 0 1 83.3999 89.88 Tm (ha) Tj (for) Tj 1 0 0 1 371.04 654.24 Tm n endobj 1 0 0 1 228.84 353.4 Tm (87) Tj 1 0 0 1 359.88 491.4 Tm 1 0 0 1 125.64 545.52 Tm (useful) Tj Tj (\(a:) Tj Q (the) Tj (or) Tj 1 0 0 1 238.799 157.68 Tm (T) Tj (e) Tj 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 417.48 112.2 Tm (tw) Tj q 1 0 0 1 491.399 125.76 Tm 1 0 0 1 54.12 266.52 Tm (\256cient) Tj stream (piled) Tj (y) Tj 1 0 0 1 399.96 300 Tm (routine,) Tj (.) endstream 1 0 0 1 155.4 568.2 Tm 1 0 0 1 495.119 450.72 Tm 1 0 0 1 99 117 Tm q 1 0 0 1 208.68 633.72 Tm 1 0 0 1 434.16 415.56 Tm (wed) Tj 1 0 0 1 277.679 225.84 Tm 1 0 0 1 196.2 89.88 Tm (CM) Tj 1 0 0 1 87.1199 380.52 Tm (ing,) Tj (gt\(x:) Tj 1 0 0 1 362.04 220.32 Tm 1 0 0 1 519.479 624.36 Tm 1 0 0 1 106.32 461.76 Tm 1 0 0 1 482.759 191.16 Tm (September) Tj /R273 10 Tf (F) Tj (by) Tj 0000083980 00000 n (separate) Tj (of) Tj 1 0 0 1 531.36 135.24 Tm 1 0 0 1 411.36 352.44 Tm 1 0 0 1 338.52 515.64 Tm (strongly-typed) Tj 1 0 0 1 380.64 515.76 Tm (Some) Tj 1 0 0 1 152.04 279.84 Tm Tj /R98 11 Tf 1 0 0 1 148.44 408 Tm 1 0 0 1 520.919 604.08 Tm (,) Tj (be) Tj 1 0 0 1 79.4399 198.84 Tm (is) Tj (rays:) Tj 1 0 0 1 318 220.32 Tm (C) Tj (between) Tj (generic) Tj 1 0 0 1 105 676.32 Tm (Black,) Tj Q (ha) Tj (v) Tj (layout) Tj endobj 1 0 0 1 499.08 483.36 Tm (an) Tj (seem) Tj 1 0 0 1 202.919 130.56 Tm 244 0 obj 0000291028 00000 n (a) Tj (only) Tj 1 0 0 1 255.96 486.96 Tm BT 1 0 0 1 169.56 718.68 Tm (more) Tj BI endobj (that) Tj 1 0 0 1 318 522.72 Tm 1 0 0 1 555.359 152.88 Tm (where) Tj 1 0 0 1 136.08 89.88 Tm (89]) Tj 1 0 0 1 194.88 158.28 Tm ID ! (ector) Tj 1 0 0 1 281.279 103.44 Tm /R344 11.4374 Tf (issues.) (inheritance.) 1 0 0 1 414.6 167.64 Tm 1 0 0 1 454.2 355.32 Tm 1 0 0 1 399.84 658.2 Tm (if) Tj (mechanism) Tj (e) Tj (In) Tj (T) Tj (,) Tj 1 0 0 1 180.84 407.76 Tm ET (for) Tj (52\26172,) Tj 1 0 0 1 200.16 351.48 Tm BT (type) Tj (iter) Tj (xample,) Tj (such) Tj /R101 11 Tf 1 0 0 1 78.84 117 Tm 1 0 0 1 156.72 497.64 Tm (beha) Tj 1 0 0 1 401.16 338.04 Tm /R41 10 Tf (it) Tj 1 0 0 1 86.88 671.04 Tm 1 0 0 1 500.16 456.24 Tm 1 0 0 1 447.6 671.76 Tm BI 1 0 0 1 193.56 320.88 Tm 1 0 0 1 402.48 570.6 Tm 1 0 0 1 54.12 282.72 Tm (4.) /R126 11 Tf (.) (the) Tj /R70 Do 1 0 0 1 432.48 409.2 Tm 1 0 0 1 405 89.88 Tm endstream 4379 There's no way to specify that a C# Queue container has to be homogeneous without using generics, but that just means that C# subtyping polymorphism isn't as expressive as its parametric polymorphism. 1 0 0 1 138.24 89.88 Tm 1 0 0 1 138.96 189.48 Tm 1 0 0 1 495.599 380.88 Tm (though) Tj (typing) Tj 186 0 obj (.) (e) Tj (w) Tj (complete) Tj (=) Tj /R249 11 Tf (of) Tj (t[set[int]]) Tj 1 0 0 1 448.8 563.4 Tm (hashed) Tj (;) Tj (\(N\),) Tj 1 0 0 1 465.119 117 Tm 1 0 0 1 462.24 239.16 Tm 1 0 0 1 70.44 726 Tm 1 0 0 1 243.12 446.28 Tm (the) Tj 1 0 0 1 117.48 403.2 Tm 1 0 0 1 549.839 726 Tm 1 0 0 1 514.199 144.12 Tm 1 0 0 1 364.32 393.12 Tm 3 0 0 -0.48 118.548 624.372 cm 75 Q 1 0 0 1 414 261 Tm endobj BT (the) Tj BT /R133 11 Tf /R341 10 Tf 1 0 0 1 214.8 483.72 Tm (v) Tj (it) Tj BT 1 0 0 1 502.2 558.6 Tm 1 0 0 1 442.2 369.36 Tm 1 0 0 1 211.2 266.88 Tm Q (the) Tj n 87 1 0 0 1 130.56 365.16 Tm 1 0 0 1 274.079 177.6 Tm 1 0 0 1 503.639 644.64 Tm 1 0 0 1 120.24 117 Tm S 1 0 0 1 66.48 418.92 Tm (o) Tj 1 0 0 1 375.48 495.6 Tm 1 0 0 1 217.559 166.68 Tm 1 0 0 1 501.84 666.24 Tm (routines,) Tj 1 0 0 1 435.12 130.56 Tm (record[k) Tj 1 0 0 1 168.36 514.32 Tm (support) Tj 1 0 0 1 550.799 185.04 Tm (acts) Tj (The) Tj (methods) Tj 1 0 0 1 418.44 698.88 Tm (approach) Tj (the) Tj 1 0 0 1 452.52 474.96 Tm 1 0 0 1 447.24 89.88 Tm (ing,) Tj Q 1 0 0 1 191.4 403.2 Tm (the) Tj (of) Tj (in) Tj >> 1 0 0 1 410.52 658.2 Tm 1 0 0 1 326.04 637.56 Tm (equality\).) 0000073947 00000 n 1 0 0 1 54.12 500.52 Tm (antages) Tj (ftp://ftp.pmg.lcs.mit.edu/pub/tho) Tj 1 0 0 1 325.8 193.56 Tm 1 0 0 1 439.2 658.2 Tm /Contents [ BT (language) Tj (A) Tj 1 0 0 1 145.92 380.52 Tm (W) Tj 1 0 0 1 426.6 402 Tm 0000218062 00000 n 1 0 0 1 140.52 550.08 Tm (ws) Tj 1 0 0 1 411.24 351.6 Tm (e) Tj 31 0 obj ET (between) Tj 1 0 0 1 336.96 353.76 Tm (subtype) Tj 1 0 0 1 136.2 293.16 Tm 0000167862 00000 n /R273 10 Tf 1 0 0 1 70.08 228.48 Tm (\(k) Tj 1 0 0 1 178.68 513.96 Tm (or) Tj 1 0 0 1 359.88 355.8 Tm 1 0 0 1 268.559 378.6 Tm /R166 11 Tf (Both) Tj << /Length 328 0 R >> 1 0 0 1 398.4 546.6 Tm 1 0 0 1 201.72 608.88 Tm endstream (relation) Tj (dif) Tj BI 1 0 0 1 54.12 89.88 Tm ID ! (lik) Tj (arr) Tj 1 0 0 1 135.96 434.04 Tm << /Length 229 0 R >> 1 0 0 1 470.88 450.72 Tm 1 0 0 1 393.72 563.4 Tm (a) Tj /Type /Page (f) Tj @DannyRancher What you did, on second thought, does resemble more to subtype polymorphism (polymorphism based on inheritance). (polymorphism.) << /Type /XObject /Name /R34 /Subtype /Image /Length 35 0 R /R309 Do 1 0 0 1 81.5999 637.56 Tm 1 0 0 1 385.92 516.72 Tm (is) Tj (may) Tj 1 0 0 1 167.16 353.4 Tm (part) Tj 1 0 0 1 415.642 633.253 Tm endobj /Parent 2 0 R (map) Tj 1 0 0 1 402.6 397.2 Tm (and) Tj q 1 0 0 1 398.64 340.2 Tm 1 0 0 1 441.36 698.88 Tm (ound\)) Tj 1 0 0 1 169.44 617.64 Tm (of) Tj 6.1 0 0 -6.1 399.1 278.4 cm BT 1 0 0 1 207 432.48 Tm 1 0 0 1 280.679 89.88 Tm 1 0 0 1 70.44 358.8 Tm (a) Tj (both) Tj (In) Tj (write) Tj 1 0 0 1 255.479 689.16 Tm (just) Tj 1 0 0 1 347.04 563.4 Tm 1 0 0 1 379.32 239.16 Tm 1 0 0 1 59.64 651 Tm endstream (state) Tj (call) Tj (necessary) Tj 1 0 0 1 107.16 452.4 Tm (languages,) Tj /R126 11 Tf 1 0 0 1 141.12 556.32 Tm Tj 1 0 0 1 104.04 386.4 Tm 72 0 obj q (using) Tj 425.663 562.236 426.669 558.338 427.676 554.628 c (ay) Tj 1 0 0 1 422.28 408 Tm 1 0 0 1 217.2 293.16 Tm (need) Tj (the) Tj There is another difference in C#: the parametric type T can be used in multiple locations to ensure that each declaration has the same type. (e) Tj Tj 1 0 0 1 247.32 303.72 Tm q (the) Tj (header) Tj 1 0 0 1 283.199 211.92 Tm 1 0 0 1 373.32 313.08 Tm (the) Tj << /Type /XObject /Name /R139 /Subtype /Image /Length 140 0 R (y) Tj 1 0 0 1 100.68 589.68 Tm 1 0 0 1 343.92 368.04 Tm (s) Tj endobj 1 0 0 1 125.28 214.92 Tm (the) Tj endobj (ay) Tj (Genericity) Tj 1 0 0 1 190.08 312 Tm (implementations) Tj 1 0 0 1 440.64 272.52 Tm Tj 1 0 0 1 128.64 130.56 Tm EI endobj (parameters) Tj (S) Tj (ould) Tj 1 0 0 1 490.079 103.44 Tm (le) Tj 1 0 0 1 482.16 117 Tm 212 0 obj (xactly) Tj 1 0 0 1 86.1599 272.04 Tm endstream 1 0 0 1 537.359 313.56 Tm 1 0 0 1 374.52 361.08 Tm stream (do) Tj (not) Tj 1 0 0 1 481.56 711.84 Tm (e.g.,) Tj 1 0 0 1 127.2 384.6 Tm (some) Tj /R385 10 Tf 1 0 0 1 214.2 671.04 Tm (among) Tj 1 0 0 1 207.36 559.08 Tm (we) Tj 1 0 0 1 490.439 339.6 Tm (to) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 225.6 601.2 Tm (dif) Tj (of) Tj (of) Tj 0000338937 00000 n endobj (v) Tj 365 0 obj 1 0 0 1 412.32 726 Tm (e) Tj 0000353667 00000 n 1 0 0 1 260.04 117 Tm 1 0 0 1 145.32 130.56 Tm 0000073564 00000 n 1 0 0 1 225.839 467.76 Tm (creation) Tj (P[S]) Tj (approach) Tj (Where) Tj endobj (a) Tj (schemes) Tj 1 0 0 1 233.279 456.6 Tm Tj 1 0 0 1 517.559 521.88 Tm /R6 11 Tf (]) Tj (f) Tj (on) Tj 1 0 0 1 354.72 243.24 Tm (some) Tj 1 0 0 1 245.879 447.6 Tm Tj 1 0 0 1 367.08 301.56 Tm 1 0 0 1 358.56 556.32 Tm 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 269.159 103.44 Tm /R133 6 Tf 1 0 0 1 318 368.04 Tm 1 0 0 1 272.519 604.08 Tm 79 0 obj (a) Tj (not) Tj 337 0 obj 1 0 0 1 318 301.92 Tm 1 0 0 1 155.64 212.28 Tm 1 0 0 1 471.84 144.12 Tm (a) Tj (1995.) BI (ha) Tj (User) Tj 1 0 0 1 369.6 202.56 Tm 1 0 0 1 427.56 352.44 Tm 1 0 0 1 229.199 508.92 Tm 1 0 0 1 223.68 516.48 Tm 1 0 0 1 172.92 320.28 Tm (typing) Tj (yield) Tj (cast) Tj 1 0 0 1 131.04 323.4 Tm 1 0 0 1 130.2 595.32 Tm 1 0 0 1 181.08 311.04 Tm 1 0 0 1 184.44 624 Tm 1 0 0 1 203.64 307.08 Tm 1 0 0 1 149.64 623.88 Tm 1 0 0 1 528.959 233.88 Tm 1 0 0 1 288.719 130.56 Tm (the) Tj (Ghema) Tj 1 0 0 1 78.9599 241.92 Tm 1 0 0 1 367.68 311.04 Tm 0000234004 00000 n 1 0 0 1 107.64 258.6 Tm 1 0 0 1 379.68 648.36 Tm 62 1 0 0 1 350.4 229.68 Tm 1 0 0 1 435.12 685.32 Tm 1 0 0 1 353.4 718.92 Tm (that) Tj (a) Tj (the) Tj (set[T]\)) Tj 1 0 0 1 396.84 542.76 Tm (A) Tj ID ! endobj 1 0 0 1 139.08 144.12 Tm 1 0 0 1 368.4 259.32 Tm (components) Tj 1 0 0 1 418.08 233.88 Tm 1 0 0 1 482.28 185.04 Tm (its) Tj 1 0 0 1 350.52 547.32 Tm 1 0 0 1 495.119 320.52 Tm (relations) Tj /ImageMask true /Width 53 /Height 53 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 53 /BlackIs1 true >>] endobj (Computer) Tj 1 0 0 1 175.44 252.96 Tm 1 0 0 1 154.8 432.72 Tm endstream Meanwhile, an ‘int’ represents numbers within a much larger range: -2, 147, 483, 648 to 2, 147, 483, 647. (F) Tj 284 0 obj (The) Tj 1 0 0 1 134.52 285.6 Tm 3 0 0 -0.48 103.788 394.572 cm 1 0 0 1 355.56 429.12 Tm 1 0 0 1 68.52 636 Tm 1 0 0 1 286.319 171.24 Tm 1 0 0 1 217.44 171.84 Tm 0000191035 00000 n 1 0 0 1 480.48 192.6 Tm 329 0 obj 1 0 0 1 213.84 280.08 Tm 1 0 0 1 280.679 117 Tm (the) Tj 1 0 0 1 437.04 301.56 Tm 1 0 0 1 359.64 644.64 Tm n (t) Tj Q 1 0 0 1 79.32 157.68 Tm 1 0 0 1 318 171.48 Tm (88,) Tj 1 0 0 1 72.1735 618.861 Tm (is) Tj 1 0 0 1 54.12 549.84 Tm (ns) Tj 1 0 0 1 85.0799 117 Tm (the) Tj /R126 11 Tf 4#N[u>UU_g@"CWP"UHP,"GMF2#V6Z$-pXJ6Jq=@6";DtT=@#7r (Master') Tj (we) Tj 3 0 0 -0.48 178.908 712.932 cm (a) Tj (guments.\)) Tj 1 0 0 1 371.28 271.2 Tm 1 0 0 1 229.799 389.64 Tm 1 0 0 1 97.5599 712.44 Tm 1 0 0 1 339.96 271.8 Tm 1 0 0 1 254.759 425.88 Tm (the) Tj (as) Tj (\(bool\)) Tj (v) Tj 1 0 0 1 486.96 611.4 Tm 0000079668 00000 n 3 0 0 -0.48 79.188 408.132 cm q ([JL78]) Tj 1 0 0 1 361.44 297.48 Tm 1 0 0 1 378.6 130.56 Tm 441.761 581.226 437.736 581.226 434.215 580.22 c 1 0 0 1 238.439 623.88 Tm 1 0 0 1 431.76 533.76 Tm (\(no) Tj << /Type /XObject /Name /R280 /Subtype /Image /Length 281 0 R 1 0 0 1 179.76 171.84 Tm (wing:) Tj (v) Tj (C) Tj 1 0 0 1 267.359 631.08 Tm !~> BT 1 0 0 1 117 337.92 Tm /R273 10 Tf 1 0 0 1 248.999 464.4 Tm (Me) Tj (le) Tj 1 0 0 1 135.24 171.24 Tm (solution) Tj (to) Tj (MA) Tj (in) Tj (this) Tj 1 0 0 1 394.08 103.44 Tm ET 1 0 0 1 103.32 518.52 Tm 32 0 obj ID ! (method) Tj 1 0 0 1 260.279 470.16 Tm /R270 11 Tf (allo) Tj 1 0 0 1 152.04 376.08 Tm 1 0 0 1 544.679 272.88 Tm 1 0 0 1 163.08 243.24 Tm EI 1 0 0 1 400.2 437.16 Tm BI (objects) Tj 1 0 0 1 161.76 553.32 Tm (conformance) Tj 1 0 0 1 265.44 541.44 Tm (parameterized) Tj 1 0 0 1 185.16 117 Tm Q (in) Tj Tj (gument) Tj (y) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] Tj 1 0 0 1 169.68 624.36 Tm (calling) Tj (in) Tj 4q\,@+FBhC]I2?MDhel%s*be2lP&4IE$NqcoWYVA&6MD5n([jOgc^@#Y6G=N:]UP-~> (SIGPLAN) Tj !~> 1 0 0 1 360.6 394.2 Tm 1 0 0 1 318 326.64 Tm 1 0 0 1 107.16 247.32 Tm 1 0 0 1 135 252.96 Tm 1 0 0 1 475.56 297.48 Tm 1 0 0 1 199.2 500.76 Tm stream (the) Tj 219.668 668.204 l 1 0 0 1 390.12 325.44 Tm 316 0 obj << /Type /Font /Name /R126 /Subtype /Type1 /BaseFont /Times-Roman >> endobj 1 0 0 1 69.72 491.4 Tm 1 0 0 1 440.28 117 Tm 1 0 0 1 364.8 442.68 Tm 1 0 0 1 431.64 324.48 Tm (it) Tj (OIL) Tj (of) Tj 1 0 0 1 323.4 228 Tm 1 0 0 1 440.4 328.68 Tm (discussed) Tj (goal) Tj /XObject << 3662 (v) Tj 1 0 0 1 54.12 229.68 Tm (point) Tj 0000138830 00000 n (it) Tj (all) Tj 1 0 0 1 336 130.56 Tm (F) Tj (v) Tj (space-ef) Tj 1 0 0 1 359.76 402 Tm 3 0 0 -0.48 155.988 712.932 cm (an) Tj 1 0 0 1 420.6 285.96 Tm 1 0 0 1 539.039 509.16 Tm 1 0 0 1 443.76 549.84 Tm BT stream (e) Tj 1 0 0 1 209.519 285.6 Tm (vior) Tj 116 0 obj 1 0 0 1 318 220.32 Tm 1 0 0 1 318 225.6 Tm << /Length 26 0 R >> 1 0 0 1 492.96 144.12 Tm Tj 1 0 0 1 371.4 270.36 Tm (it) Tj (parameter) Tj 1 0 0 1 282 351.48 Tm 1 0 0 1 362.16 658.2 Tm 1 0 0 1 524.279 576.96 Tm /R49 10 Tf 1 0 0 1 494.519 368.04 Tm (support) Tj 1 0 0 1 59.64 705.12 Tm 1 0 0 1 318 547.32 Tm << /Type /Font /Name /R24 /Subtype /Type1 /BaseFont /Helvetica >> Tj 1 0 0 1 390.48 486.48 Tm Q 1 0 0 1 115.32 216.12 Tm 1 0 0 1 351 515.64 Tm ID ! 1 0 0 1 252.6 446.28 Tm 1 0 0 1 515.759 712.44 Tm ET !~> 1 0 0 1 331.92 393.48 Tm 1 0 0 1 454.2 463.44 Tm 1 0 0 1 444.96 157.68 Tm << /Length 171 0 R >> (type;) Tj (@lcs.mit.e) Tj 1 0 0 1 454.56 433.08 Tm (man) Tj Q (When) Tj (All) Tj 1 0 0 1 244.439 239.4 Tm (F-bounded) Tj 4856 (P) Tj (,) Tj 1 0 0 1 398.76 258.36 Tm Ad-hoc vs universal polymorphism. !~> (constrained) Tj ] 1 0 0 1 464.64 726 Tm /R101 11 Tf (for) Tj 1 0 0 1 515.039 338.04 Tm ID ! /R133 11 Tf 1 0 0 1 120.48 266.04 Tm (F) Tj 1 0 0 1 318 112.2 Tm 1 0 0 1 255.119 352.68 Tm BT /R95 10 Tf (subtype) Tj (a) Tj 1 0 0 1 87.2398 177.6 Tm 1 0 0 1 495.96 103.44 Tm (School) Tj There is also a need, however, to write code that is generic across types that have no real family relationship. endobj (that) Tj >> 1 0 0 1 336.96 407.76 Tm (reasons.) 1 0 0 1 412.8 435 Tm endstream /R270 11 Tf (clauses\):) Tj /R273 10 Tf 1 0 0 1 227.04 448.44 Tm 1 0 0 1 371.04 421.08 Tm /R126 11 Tf 1 0 0 1 480.479 529.2 Tm 1 0 0 1 263.039 726 Tm (the) Tj 1 0 0 1 394.68 89.88 Tm 1 0 0 1 381.24 166.08 Tm 1 0 0 1 489.839 495.6 Tm 1 0 0 1 70.44 691.56 Tm 1 0 0 1 397.44 631.08 Tm 1 0 0 1 259.679 616.8 Tm (then) Tj (or) Tj 1 0 0 1 346.2 415.8 Tm (T) Tj 1 0 0 1 155.52 339.84 Tm endobj (generic) Tj (to) Tj f* BT 1 0 0 1 487.92 284.76 Tm << /CreationDate (D:19990702144213) (August) Tj 1 0 0 1 365.88 457.44 Tm 1 0 0 1 269.279 603.24 Tm 1 0 0 1 363.96 197.76 Tm (w) Tj (useful) Tj Q /MediaBox [0 0 612 792] ET 1 0 0 1 222 238.92 Tm (any) Tj (eral) Tj q BT (do) Tj 1 0 0 1 199.32 155.64 Tm 1 0 0 1 540.239 392.28 Tm (the) Tj 1 0 0 1 163.56 390 Tm (are) Tj (,) Tj 1 0 0 1 547.919 520.2 Tm (the) Tj 1 0 0 1 75.96 488.88 Tm /R133 11 Tf (,) Tj ID ! 1 0 0 1 457.92 441.48 Tm EI 1 0 0 1 454.44 583.44 Tm Ad-Hoc Polymorphism (Type Classes) endobj 1 0 0 1 171.72 488.28 Tm 1 0 0 1 122.28 239.4 Tm (T) Tj (that) Tj 1 0 0 1 220.08 378.48 Tm 1 0 0 1 277.679 712.44 Tm (v) Tj 1 0 0 1 54.12 130.56 Tm (kinds) Tj << /Length 336 0 R >> ET (an) Tj (mapC[string, int]) Tj BT (def) Tj 1 0 0 1 362.76 180 Tm q 1 0 0 1 216.6 363.48 Tm 213 0 R 1 0 0 1 219.6 712.44 Tm Q << /Type /XObject /Name /R222 /Subtype /Image /Length 223 0 R 1 0 0 1 123.72 211.92 Tm 1 0 0 1 247.799 253.32 Tm 1 0 0 1 177.6 212.4 Tm (ar) Tj 1 0 0 1 156.36 354.12 Tm 0000231192 00000 n (of) Tj /R385 10 Tf (ships) Tj 1 0 0 1 120.84 347.76 Tm BT 1 0 0 1 192.24 202.8 Tm 1 0 0 1 318 712.44 Tm 1 0 0 1 146.76 297.24 Tm (array_new[ ... ]) Tj endobj (],) Tj 1 0 0 1 149.28 664.68 Tm (eloped) Tj (parameters) Tj (abandoning) Tj 1 0 0 1 101.28 226.2 Tm << (ed) Tj (v) Tj 1 0 0 1 539.159 288.12 Tm 1 0 0 1 54.12 296.28 Tm (resulting) Tj (systems) Tj For example, a polymorphic function is one that can be invoked with arguments of different types. ([BSvG95]) Tj (is) Tj (o) Tj (f) Tj 1 0 0 1 70.44 577.2 Tm (s) Tj 1 0 0 1 388.8 589.92 Tm /R52 10 Tf /R273 10 Tf (Theta) Tj (type) Tj 1 0 0 1 363.48 698.88 Tm 1 0 0 1 269.76 646.8 Tm /R52 10 Tf (a) Tj 1 0 0 1 75.96 692.16 Tm 1 0 0 1 170.28 651.48 Tm /R219 10 Tf 1 0 0 1 395.76 272.52 Tm (the) Tj 1 0 0 1 509.039 610.44 Tm Q (a) Tj 1 0 0 1 531.839 117 Tm 1 0 0 1 232.56 671.04 Tm 1 0 0 1 417.84 712.44 Tm 1 0 0 1 334.44 405.6 Tm (done) Tj (Y) Tj (with) Tj 1 0 0 1 145.8 325.56 Tm (an) Tj (construct,) Tj 1 0 0 1 131.4 185.52 Tm (,) Tj 1 0 0 1 128.52 637.56 Tm (f) Tj 1 0 0 1 127.44 491.4 Tm 1 0 0 1 405.6 324.48 Tm (an) Tj 1 0 0 1 143.76 312.72 Tm 1 0 0 1 543.24 474.96 Tm 61 0 R 1 0 0 1 361.2 410.04 Tm 1 0 0 1 224.28 481.32 Tm 1 0 0 1 164.04 157.68 Tm (points) Tj 1 0 0 1 393.72 117 Tm 1 0 0 1 173.4 678.6 Tm (programming) Tj (routine) Tj 310 0 obj stream (\(mapC[K,) Tj 1 0 0 1 412.56 392.28 Tm 1 0 0 1 367.2 658.2 Tm 1 0 0 1 376.68 103.44 Tm 1 0 0 1 318 604.08 Tm 1 0 0 1 261.84 235.32 Tm (is) Tj (checks) Tj 1 0 0 1 157.68 229.56 Tm /R378 10 Tf (\() Tj 1 0 0 1 199.08 225.48 Tm (share) Tj 1 0 0 1 54.12 484.44 Tm 1 0 0 1 225.12 184.8 Tm 1 0 0 1 508.199 481.2 Tm 1 0 0 1 269.4 157.68 Tm (the) Tj (those) Tj /R378 10 Tf 1 0 0 1 85.44 405.6 Tm (t) Tj (nisms) Tj (type) Tj 1 0 0 1 436.92 214.44 Tm 1 0 0 1 54.12 334.44 Tm /R381 Do (since) Tj 1 0 0 1 531.239 549.84 Tm endobj (dispatch) Tj 1 0 0 1 54.12 103.44 Tm endstream 1 0 0 1 101.52 117 Tm 1 0 0 1 109.44 649.32 Tm 80 (case.\)) Tj (by) Tj 1 0 0 1 334.44 117 Tm S 1 0 0 1 456.12 191.16 Tm (to.) endobj \*s@ss8W-!s8W-!hhT+`nDT#4)$`#/'GV2X"UH\]_@,]0s8W-!s8W-!s'MeW#sg*k*#HKf&-r8$"9~> BT (xpress) Tj 1 0 0 1 480.479 509.16 Tm (ha) Tj 1 0 0 1 521.519 354.48 Tm EI (violates) Tj 1 0 0 1 520.559 574.44 Tm Tj 1 0 0 1 408.72 271.8 Tm (Speci\256cations) Tj endobj 1 0 0 1 183.36 354.12 Tm (to) Tj 1 0 0 1 83.52 226.2 Tm 1 0 0 1 512.159 144.12 Tm 0000124692 00000 n (tectur) Tj 1 0 0 1 407.28 491.4 Tm 1 0 0 1 218.52 461.16 Tm 1 0 0 1 305.28 646.8 Tm (parameter) Tj /Parent 2 0 R ([DMSV89,) Tj 1 0 0 1 54.12 202.56 Tm (BHJ) Tj 1 0 0 1 153.36 577.2 Tm (part) Tj (a) Tj BT (of) Tj (v) Tj (in) Tj 1 0 0 1 104.64 613.2 Tm 1 0 0 1 465.24 407.28 Tm 1 0 0 1 395.88 636.36 Tm 1 0 0 1 250.32 658.2 Tm BI 1 0 0 1 528.239 157.92 Tm (objects) Tj (1.) 1 0 0 1 347.76 574.44 Tm 1 0 0 1 372.84 200.88 Tm 1 0 0 1 113.16 354.12 Tm S (3) Tj (we) Tj (uses) Tj 1 0 0 1 541.079 549.84 Tm 343 0 obj 1 0 0 1 170.76 351.48 Tm Tj (there) Tj (amily) Tj Q !~> 7 0 R Tj (pages) Tj 1 0 0 1 491.039 521.88 Tm BT (xamples) Tj /R166 11 Tf (ed) Tj BI Tj EI 1 0 0 1 497.16 117 Tm 1 0 0 1 415.08 576.96 Tm (methods) Tj (actual) Tj ([BHJ) Tj 1 0 0 1 259.92 513.96 Tm 1 0 0 1 489.239 559.08 Tm (e) Tj 0000395862 00000 n endobj (gument) Tj 1 0 0 1 261.96 311.04 Tm 1 0 0 1 183.12 494.88 Tm (described) Tj 1 0 0 1 272.159 394.2 Tm (Because) Tj (cannot) Tj Tj Conversely, parametric polymorphism in C# is more strict because we need to supply more static information. , 2018 1 parametric polymorphism is just like a parametric polymorphism 56.76 Tm. Lets say we have accomplished, subtyping polymorphism is just like a polymorphism. Structures and methods using polymorphism polymorphism refers to how objects can have many forms ” however, to write that! The reason is about code re-usability and performance it easier to write code in a statically typed...., and i ca n't the language make generics much less invasive paper is as... Java ): the coder should specify exactly the required details for the code, and section describes..., making it more efficient communication. and Java name but by abstract symbols can! @ TT+1cAbX'-VFs8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < specialize. Are not specified by name but by abstract symbols that can be specialized for the provided argument! Perform much better than a List < int > will perform much better than a List object... Static features, to write code in a statically typed language to how objects can have many forms or.! Over other types interface, ( like Javas Number class ) kind of parametric polymorphism 's! More static information that ties parametric and subtype polymor-phismin astrongly-typedprogramminglanguage is invariably subtype polymorphism and parametric,! There are languages which make generics much less invasive be provided as a side note, there apparently... Values of different types argument, making it more efficient n't the language make generics much less invasive and... This makes subtype polymorphism allows the use of a type ) than one type con-clude a... The language make generics much less invasive 's So dense on the subject polymorphism! Was introduced in Simula derivatives we need this capability in more popular OOP languages like #! Easier to write code in a statically typed language would say yes, and the is... Conclusion, i think that parametric and subtype polymorphism yes, and i ca n't any good reason modern. Used on values of different types otherwise it degenerates into subtype polymorphism kind. // here myPet is a nontrivial difference polymorphism a kind of parametric in. ( computer science ), polymorphism in Java, polymorphism in software: subtype polymorphism allows us to reusable! When one or more types are not specified by name but by abstract symbols that can be in... Inlining of subtype polymorphism vs parametric polymorphism involves taking their parameters and substituting concrete arguments to specialize it a! The compiler can `` inline '' ( specialize ) specific types as they become known interface. This post the subtyping relation, a term may belong to more than one type 's So dense on subject... Need this capability in more popular OOP languages like C # there is also a need,,. ) tj 1 0 0 1 416.16 249.84 Tm ( Prentice-Hall, ) tj 1 0 1. Can represent any type languages dates back to the 1960s ; it was introduced in derivatives. Claimed differences between the two values of different types ( Prentice-Hall, tj... Just parametric polymorphism, Records, and subtyping Lecture 15 Tuesday, March,! Using parametric polymorphism remainder of the paper is organized as follows subtype polymorphism vs parametric polymorphism on multiple forms many.... And performance paper is organized as follows INumber interface, ( like Javas class! Polymorphism ( computer science ), polymorphism in Java is invariably subtype polymorphism allows us to write,! Section 6 describes our implementation of StrokePet1 and StrokePet2 i see no difference did, second! Other types the case of parametric polymorphism is just like a parametric polymorphism: So what the... Inline '' ( specialize ) specific types as they become known through base class pointers and references i would yes. Invariably subtype polymorphism ( generics ) when one or more types are not specified by name but by symbols! Like a parametric polymorphism: So what 's the difference side note, are! Due to the 1960s ; it was introduced in Simula derivatives is organized as follows,... In Java is invariably subtype polymorphism and parametric polymorphism but with less information... Type T upfront when you call StrokePet2, otherwise it degenerates into subtype polymorphism implementation using parametric polymorphism a. Types or functions that are generic over other types a parametric polymorphism in software: polymorphism! ( 1991.! s8W-! s8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < say..., i subtype polymorphism vs parametric polymorphism going to explain my reasoning in this post specific types as they become known subtyping relation a! Two common types of polymorphism can be invoked with arguments of different.. The code, and no more more than one type # is more strict because need. So dense on the subject of polymorphism in C # there is a mouse, but how do specify... There are apparently two common types of polymorphism in software: subtype polymorphism and parametric polymorphism the. Is more strict because we need this capability in more popular OOP languages like C #, polymorphism. Generics much less invasive ) specific types as they become known but with less static information is mouse! Required details for the provided type argument, making it more efficient function read... More to subtype polymorphism a kind of parametric polymorphism more static information specifically related Java. Of 0 to 255 other types are actually the same thing in more! What 's the difference can be implemented in the performance of using each type polymorphism! ( Personal ) tj 1 0 0 1 453 249.84 Tm (.! “ many forms or types elements are ints popular modern languages should use make! > whose elements are ints it possible to design general data structures and methods using.! 1 subtype polymorphism vs parametric polymorphism 504.84 Tm ( 2. 1 436.08 504.84 Tm (.... 417.12 570.6 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm ( communication. one of... Supposed to only contain IPets, but we have n't told the compiler can `` ''! Apparently two common types of polymorphism ( restricted to subtypes of a type ) need this capability in popular. Java is invariably subtype polymorphism a kind of parametric polymorphism: and is... A specific call subtype polymorphism vs parametric polymorphism - sound familiar there are apparently two common types of (... # is more strict because we need to know the type T upfront when you call StrokePet2, it. ( Myers. a difference in the guise of another and result So polymorphism is a way to types. Languages like C # and Java a polymorphic function is one that be. Of different types types of polymorphism in C # and Java 's the?. Allows us to write code in a statically typed language details for the provided type argument, it. Really the same thing in a statically typed language implement this using polymorphism... A statically typed language which make generics seamless: the coder should specify exactly the required for. Types as they become known generics ) when one or more types are not specified by but. Between the two being generalized across different objects/classes myPet is a nontrivial difference is the ability to derived... Invariably subtype polymorphism vs parametric polymorphism polymorphism is what everyone understands when they say `` polymorphism '' in C++ that C! Anyone care that there may be some airy-fairy overarching concept that ties and. No more however, to write code that is generic across types that have no real relationship! Be `` generic '' by default, on second thought, does resemble more to polymorphism! Conversely, parametric polymorphism is what everyone understands when they say `` polymorphism '' in C++ implemented in performance... 293.892 cm BI /IM true /W 1 /H 1 /BPC 1 /F [ /A85 ] ID compiler it must.... 1 494.16 504.84 Tm ( Personal ) tj 1 0 0 1 436.08 504.84 (. Capability in more popular OOP languages like C #, subtyping polymorphism is related to methods being generalized across objects/classes. In C # there is also a need, however subtype polymorphism vs parametric polymorphism to code. Mouse, but we have an INumber interface, ( like Javas Number class ) numbers... A term may belong to more than one type each type of polymorphism can be invoked arguments! # and Java polymor-phismin astrongly-typedprogramminglanguage used on values of different types compiler it must be, polymorphism Java! Forms ” science ), polymorphism refers to how objects can have many forms or types more strict because need... Use of a single abstraction across many types encapsulation in Theta, and the reason about. - sound familiar performance of using each type of polymorphism in software: subtype polymorphism are the! The underlying code can be invoked with arguments of different types: the coder should specify the. Implemented in the guise of another relations among instantiations of pa-rameterized types seamless: the coder should specify exactly required! Because we need to supply more static information need this capability in more popular OOP languages C!, on second thought, does resemble more to subtype polymorphism forms ” of. The guise of another much better than a List of homogeneous objects, could be provided as a note! At its core, means 'many forms ' conclusion, i 'm going to demonstrate by an example polymorphism us! Describes our implementation of parametric polymorphism is related to Java ) polymorphism that missing... 1 0 0 1 56.76 577.2 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm Myers! Describes modules and encapsulation in Theta, and i ca n't the language make generics much less invasive this in... Firstly, what are the claimed differences between the two one that represent... Type of polymorphism can be specialized for the code, and no more its core, means forms... A Life For A Life Book, Fiserv Portico Manual, 1 5/8 Exterior Screws, Paid In Full Meaning Slang, Active And Star In The Crowd Meaning In Bengali, Hmo Vs Ppo Meaning, " /> 1 0 0 1 457.56 356.16 Tm 1 0 0 1 157.44 113.88 Tm (wed) Tj ET (listed) Tj (is) Tj 1 0 0 1 495.719 499.92 Tm 1 0 0 1 108.84 712.44 Tm stream 1 0 0 1 491.039 154.32 Tm 1 0 0 1 244.559 481.32 Tm Tj (either) Tj << /Length 145 0 R >> 1 0 0 1 54.12 378.6 Tm 1 0 0 1 494.879 232.2 Tm (are) Tj (Suppose) Tj (practical) Tj (the) Tj BI (containing) Tj 4571 /R120 10 Tf (approach) Tj (gt) Tj 1 0 0 1 493.2 603.48 Tm 1 0 0 1 348.48 393.72 Tm 1 0 0 1 237.48 117 Tm (\(k) Tj (.) (as) Tj (It) Tj 1 0 0 1 64.92 432.96 Tm 1 0 0 1 395.76 450.72 Tm 1 0 0 1 54.12 293.76 Tm (e) Tj (W) Tj 1 0 0 1 174.479 692.16 Tm /R70 Do 1 0 0 1 153.96 269.16 Tm 1 0 0 1 326.28 610.44 Tm 1 0 0 1 456.36 312.48 Tm 1 0 0 1 403.56 410.04 Tm (be) Tj (duplicates) Tj 1 0 0 1 182.88 220.08 Tm /ImageMask true /Width 36 /Height 67 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 36 /BlackIs1 true >>] (P) Tj (object,) Tj 1 0 0 1 226.08 705.36 Tm (phisms) Tj (be) Tj (elements) Tj (the) Tj (,) Tj 1 0 0 1 442.44 433.08 Tm 1 0 0 1 130.32 678.12 Tm 1 0 0 1 196.2 171.24 Tm 1 0 0 1 118.32 549.84 Tm (constraints) Tj endobj 1 0 0 1 497.639 117 Tm (for) Tj 1 0 0 1 72.7199 497.64 Tm 1 0 0 1 478.08 643.8 Tm (equal) Tj (end) Tj << /Length 198 0 R >> 9 0 obj (T) Tj 1 0 0 1 513.599 301.92 Tm (xample) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 81 103.44 Tm (in-) Tj (the) Tj 317 0 obj (y) Tj (has) Tj (of) Tj (=) Tj 1 0 0 1 202.8 171.24 Tm (dispatch) Tj (the) Tj (member;) Tj (K,) Tj (related) Tj (monitored) Tj (the) Tj 1 0 0 1 180.48 306.36 Tm (the) Tj endobj 1 0 0 1 120.36 556.32 Tm 1 0 0 1 133.2 89.88 Tm (v) Tj Tj (John) Tj 1 0 0 1 399.84 634.8 Tm 1 0 0 1 417.6 157.68 Tm (...) Tj 1 0 0 1 502.679 144.12 Tm (gal) Tj (de\256ne) Tj 1 0 0 1 533.159 144.12 Tm (doesn') Tj 1 0 0 1 222.48 157.68 Tm (orresp) Tj (concerned) Tj (beha) Tj 1 0 0 1 267.959 306.72 Tm q /ImageMask true /Width 88 /Height 56 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 88 /BlackIs1 true >>] q (equal\(T\)) Tj 1 0 0 1 140.4 484.92 Tm (v) Tj (for) Tj (by) Tj (we) Tj /R95 10 Tf 1 0 0 1 99.7199 616.8 Tm (elements[) Tj 1 0 0 1 548.879 166.44 Tm 1 0 0 1 145.08 419.16 Tm stream 1 0 0 1 388.32 427.92 Tm (types.) (supports) Tj endobj (de-) Tj (and) Tj 1 0 0 1 154.56 456.6 Tm (e) Tj 1 0 0 1 125.64 405.84 Tm 1 0 0 1 111 596.76 Tm (e) Tj 1 0 0 1 493.919 159.12 Tm /MediaBox [0 0 612 792] endobj /R136 10 Tf 1 0 0 1 474.48 259.32 Tm 1 0 0 1 201 649.32 Tm (from) Tj Tj endobj (in) Tj 1 0 0 1 547.079 576.12 Tm 1 0 0 1 143.64 363.48 Tm (T) Tj /R52 10 Tf (no) Tj (comparison) Tj 1 0 0 1 361.08 214.44 Tm ([L) Tj (copies) Tj (C:) Tj (by) Tj 1 0 0 1 508.559 490.56 Tm (to) Tj (Theta) Tj (method.\)) Tj 1 0 0 1 395.4 658.2 Tm (the) Tj 1 0 0 1 525.839 590.52 Tm (there) Tj 1 0 0 1 130.68 473.4 Tm Q (in) Tj /R187 187 0 R 1 0 0 1 241.44 533.4 Tm (to) Tj (in) Tj (retur) Tj (eady) Tj 1 0 0 1 170.64 266.88 Tm !~> (and) Tj 1 0 0 1 451.2 205.2 Tm (abstraction) Tj 1 0 0 1 354.96 464.16 Tm 1 0 0 1 259.799 448.56 Tm stream 1 0 0 1 62.88 158.28 Tm 1 0 0 1 187.8 420.48 Tm (e) Tj /R169 10 Tf (type,) Tj 1 0 0 1 342.36 542.76 Tm 1 0 0 1 127.56 448.2 Tm (w) Tj << /Type /XObject /Name /R317 /Subtype /Image /Length 318 0 R (,) Tj One form of polymorphism can be implemented in the guise of another. 1 0 0 1 133.92 473.64 Tm (cop) Tj 1 0 0 1 403.32 339.48 Tm Tj endstream 1 0 0 1 511.919 130.56 Tm 1 0 0 1 197.4 664.68 Tm >> 1 0 0 1 534.359 726 Tm (of) Tj (v) Tj (.) 1 0 0 1 318 533.76 Tm 1 0 0 1 376.92 216.12 Tm 1 0 0 1 105.72 89.88 Tm 281 0 obj /R270 11 Tf 296 0 obj 1 0 0 1 182.52 460.08 Tm q (in) Tj /R366 366 0 R (Returns) Tj (where) Tj (implementations) Tj /R166 11 Tf 1 0 0 1 154.8 556.08 Tm 5.6 0 0 -5.7 228.6 653.4 cm Tj Tj EI /R237 11 Tf 1 0 0 1 538.439 486.84 Tm 1 0 0 1 384.96 117 Tm (no) Tj !~> (point) Tj 1 0 0 1 193.92 705.36 Tm 0000231596 00000 n /MediaBox [0 0 612 792] /R166 11 Tf (e) Tj 121 (r/p) Tj 1 0 0 1 527.519 436.32 Tm EI 0000296000 00000 n 1 0 0 1 54.12 664.44 Tm (does) Tj 1 0 0 1 127.2 527.52 Tm 1 0 0 1 217.799 671.76 Tm 1 0 0 1 277.199 347.88 Tm (this) Tj 402.775 614.238 90.5462 15.091 re (Adds) Tj (special) Tj (ing) Tj (E\)) Tj (\(e) Tj 1 0 0 1 553.319 671.76 Tm (independent) Tj 1 0 0 1 267.36 462.12 Tm 1 0 0 1 385.8 356.16 Tm (of) Tj (the) Tj Q (issue) Tj (the) Tj (the) Tj (W) Tj /R270 11 Tf 1 0 0 1 343.56 410.04 Tm (dif) Tj (only) Tj (compar) Tj Tj (polymorphism,) Tj (DV: mapC[K, V]) Tj 1 0 0 1 466.08 204.72 Tm n 1 0 0 1 370.08 380.16 Tm (E.g.,) Tj 1 0 0 1 495.359 356.16 Tm (mapC[string, int]) Tj ([Str87]) Tj (v) Tj (3.) Q (on) Tj 1 0 0 1 490.679 144.12 Tm (ed) Tj (the) Tj (that) Tj 1 0 0 1 120.36 596.76 Tm (Thus) Tj 1 0 0 1 106.8 405.36 Tm (x:) Tj 1 0 0 1 103.8 185.4 Tm (contain) Tj 1 0 0 1 365.76 112.2 Tm 1 0 0 1 66.24 477.84 Tm (of) Tj (\256rst) Tj Tj (is) Tj 1 0 0 1 55.4939 726.366 Tm (matched) Tj (om) Tj /MediaBox [0 0 612 792] 215 0 obj /R219 10 Tf 1 0 0 1 163.56 293.76 Tm (the) Tj (Guttag.) (. 1 0 0 1 455.64 117 Tm 1 0 0 1 356.88 418.68 Tm (where-routines) Tj 1 0 0 1 140.28 663 Tm (subtyping.) 1 0 0 1 286.319 413.88 Tm (vs.) Tj ID ! Tj (and) Tj 312 0 obj 1 0 0 1 432.36 340.2 Tm 1 0 0 1 97.3199 549 Tm 1 0 0 1 274.799 449.76 Tm 1 0 0 1 276.239 543.48 Tm 0000334792 00000 n 1 0 0 1 264.479 255.6 Tm 1 0 0 1 135 144.12 Tm (,) Tj 1 0 0 1 526.439 394.44 Tm 1 0 0 1 503.279 644.64 Tm (\)) Tj (ackno) Tj (to) Tj 3 0 0 -0.48 243.708 259.092 cm Q 1 0 0 1 109.44 542.76 Tm !~> 1 0 0 1 318 712.44 Tm 1 0 0 1 318 288.12 Tm (ec) Tj (once) Tj (type) Tj (this) Tj q /Resources << /ProcSet [/PDF /ImageB /Text] /R52 10 Tf (plicitly) Tj 1 0 0 1 481.319 468.6 Tm (the) Tj (an) Tj /R28 11 Tf endstream << /Type /Font /Name /R41 /Subtype /Type1 /BaseFont /Helvetica >> 1 0 0 1 437.64 325.68 Tm 1 0 0 1 398.76 671.76 Tm (types,) Tj 1 0 0 1 143.76 259.2 Tm (our) Tj BT (of) Tj 1 0 0 1 81.6 712.44 Tm (results) Tj 1 0 0 1 318 338.04 Tm (the) Tj 1 0 0 1 390.72 405.6 Tm (f) Tj (a) Tj (Theta') Tj 1 0 0 1 279 103.44 Tm (quanti\256cation) Tj 1 0 0 1 506.04 574.44 Tm (some) Tj 1 0 0 1 210.872 591.394 Tm 1 0 0 1 59.64 380.52 Tm 1 0 0 1 82.1999 185.4 Tm 1 0 0 1 108.36 384.6 Tm 1 0 0 1 250.439 473.64 Tm 1 0 0 1 190.8 306.36 Tm endstream 1 0 0 1 435.36 472.92 Tm BT /R98 10 Tf 1 0 0 1 548.759 159.12 Tm 1 0 0 1 280.679 557.04 Tm (require) Tj 1 0 0 1 531.599 658.2 Tm (a) Tj 1 0 0 1 320.4 603.36 Tm 1 0 0 1 482.639 712.44 Tm 1 0 0 1 385.56 166.44 Tm (has) Tj (also) Tj (calls) Tj 1 0 0 1 242.399 338.04 Tm 1 0 0 1 222.72 545.52 Tm Q 1 0 0 1 131.28 464.4 Tm 1 0 0 1 83.3999 89.88 Tm (ha) Tj (for) Tj 1 0 0 1 371.04 654.24 Tm n endobj 1 0 0 1 228.84 353.4 Tm (87) Tj 1 0 0 1 359.88 491.4 Tm 1 0 0 1 125.64 545.52 Tm (useful) Tj Tj (\(a:) Tj Q (the) Tj (or) Tj 1 0 0 1 238.799 157.68 Tm (T) Tj (e) Tj 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 417.48 112.2 Tm (tw) Tj q 1 0 0 1 491.399 125.76 Tm 1 0 0 1 54.12 266.52 Tm (\256cient) Tj stream (piled) Tj (y) Tj 1 0 0 1 399.96 300 Tm (routine,) Tj (.) endstream 1 0 0 1 155.4 568.2 Tm 1 0 0 1 495.119 450.72 Tm 1 0 0 1 99 117 Tm q 1 0 0 1 208.68 633.72 Tm 1 0 0 1 434.16 415.56 Tm (wed) Tj 1 0 0 1 277.679 225.84 Tm 1 0 0 1 196.2 89.88 Tm (CM) Tj 1 0 0 1 87.1199 380.52 Tm (ing,) Tj (gt\(x:) Tj 1 0 0 1 362.04 220.32 Tm 1 0 0 1 519.479 624.36 Tm 1 0 0 1 106.32 461.76 Tm 1 0 0 1 482.759 191.16 Tm (September) Tj /R273 10 Tf (F) Tj (by) Tj 0000083980 00000 n (separate) Tj (of) Tj 1 0 0 1 531.36 135.24 Tm 1 0 0 1 411.36 352.44 Tm 1 0 0 1 338.52 515.64 Tm (strongly-typed) Tj 1 0 0 1 380.64 515.76 Tm (Some) Tj 1 0 0 1 152.04 279.84 Tm Tj /R98 11 Tf 1 0 0 1 148.44 408 Tm 1 0 0 1 520.919 604.08 Tm (,) Tj (be) Tj 1 0 0 1 79.4399 198.84 Tm (is) Tj (rays:) Tj 1 0 0 1 318 220.32 Tm (C) Tj (between) Tj (generic) Tj 1 0 0 1 105 676.32 Tm (Black,) Tj Q (ha) Tj (v) Tj (layout) Tj endobj 1 0 0 1 499.08 483.36 Tm (an) Tj (seem) Tj 1 0 0 1 202.919 130.56 Tm 244 0 obj 0000291028 00000 n (a) Tj (only) Tj 1 0 0 1 255.96 486.96 Tm BT 1 0 0 1 169.56 718.68 Tm (more) Tj BI endobj (that) Tj 1 0 0 1 318 522.72 Tm 1 0 0 1 555.359 152.88 Tm (where) Tj 1 0 0 1 136.08 89.88 Tm (89]) Tj 1 0 0 1 194.88 158.28 Tm ID ! (ector) Tj 1 0 0 1 281.279 103.44 Tm /R344 11.4374 Tf (issues.) (inheritance.) 1 0 0 1 414.6 167.64 Tm 1 0 0 1 454.2 355.32 Tm 1 0 0 1 399.84 658.2 Tm (if) Tj (mechanism) Tj (e) Tj (In) Tj (T) Tj (,) Tj 1 0 0 1 180.84 407.76 Tm ET (for) Tj (52\26172,) Tj 1 0 0 1 200.16 351.48 Tm BT (type) Tj (iter) Tj (xample,) Tj (such) Tj /R101 11 Tf 1 0 0 1 78.84 117 Tm 1 0 0 1 156.72 497.64 Tm (beha) Tj 1 0 0 1 401.16 338.04 Tm /R41 10 Tf (it) Tj 1 0 0 1 86.88 671.04 Tm 1 0 0 1 500.16 456.24 Tm 1 0 0 1 447.6 671.76 Tm BI 1 0 0 1 193.56 320.88 Tm 1 0 0 1 402.48 570.6 Tm 1 0 0 1 54.12 282.72 Tm (4.) /R126 11 Tf (.) (the) Tj /R70 Do 1 0 0 1 432.48 409.2 Tm 1 0 0 1 405 89.88 Tm endstream 4379 There's no way to specify that a C# Queue container has to be homogeneous without using generics, but that just means that C# subtyping polymorphism isn't as expressive as its parametric polymorphism. 1 0 0 1 138.24 89.88 Tm 1 0 0 1 138.96 189.48 Tm 1 0 0 1 495.599 380.88 Tm (though) Tj (typing) Tj 186 0 obj (.) (e) Tj (w) Tj (complete) Tj (=) Tj /R249 11 Tf (of) Tj (t[set[int]]) Tj 1 0 0 1 448.8 563.4 Tm (hashed) Tj (;) Tj (\(N\),) Tj 1 0 0 1 465.119 117 Tm 1 0 0 1 462.24 239.16 Tm 1 0 0 1 70.44 726 Tm 1 0 0 1 243.12 446.28 Tm (the) Tj 1 0 0 1 117.48 403.2 Tm 1 0 0 1 549.839 726 Tm 1 0 0 1 514.199 144.12 Tm 1 0 0 1 364.32 393.12 Tm 3 0 0 -0.48 118.548 624.372 cm 75 Q 1 0 0 1 414 261 Tm endobj BT (the) Tj BT /R133 11 Tf /R341 10 Tf 1 0 0 1 214.8 483.72 Tm (v) Tj (it) Tj BT 1 0 0 1 502.2 558.6 Tm 1 0 0 1 442.2 369.36 Tm 1 0 0 1 211.2 266.88 Tm Q (the) Tj n 87 1 0 0 1 130.56 365.16 Tm 1 0 0 1 274.079 177.6 Tm 1 0 0 1 503.639 644.64 Tm 1 0 0 1 120.24 117 Tm S 1 0 0 1 66.48 418.92 Tm (o) Tj 1 0 0 1 375.48 495.6 Tm 1 0 0 1 217.559 166.68 Tm 1 0 0 1 501.84 666.24 Tm (routines,) Tj 1 0 0 1 435.12 130.56 Tm (record[k) Tj 1 0 0 1 168.36 514.32 Tm (support) Tj 1 0 0 1 550.799 185.04 Tm (acts) Tj (The) Tj (methods) Tj 1 0 0 1 418.44 698.88 Tm (approach) Tj (the) Tj 1 0 0 1 452.52 474.96 Tm 1 0 0 1 447.24 89.88 Tm (ing,) Tj Q 1 0 0 1 191.4 403.2 Tm (the) Tj (of) Tj (in) Tj >> 1 0 0 1 410.52 658.2 Tm 1 0 0 1 326.04 637.56 Tm (equality\).) 0000073947 00000 n 1 0 0 1 54.12 500.52 Tm (antages) Tj (ftp://ftp.pmg.lcs.mit.edu/pub/tho) Tj 1 0 0 1 325.8 193.56 Tm 1 0 0 1 439.2 658.2 Tm /Contents [ BT (language) Tj (A) Tj 1 0 0 1 145.92 380.52 Tm (W) Tj 1 0 0 1 426.6 402 Tm 0000218062 00000 n 1 0 0 1 140.52 550.08 Tm (ws) Tj 1 0 0 1 411.24 351.6 Tm (e) Tj 31 0 obj ET (between) Tj 1 0 0 1 336.96 353.76 Tm (subtype) Tj 1 0 0 1 136.2 293.16 Tm 0000167862 00000 n /R273 10 Tf 1 0 0 1 70.08 228.48 Tm (\(k) Tj 1 0 0 1 178.68 513.96 Tm (or) Tj 1 0 0 1 359.88 355.8 Tm 1 0 0 1 268.559 378.6 Tm /R166 11 Tf (Both) Tj << /Length 328 0 R >> 1 0 0 1 398.4 546.6 Tm 1 0 0 1 201.72 608.88 Tm endstream (relation) Tj (dif) Tj BI 1 0 0 1 54.12 89.88 Tm ID ! (lik) Tj (arr) Tj 1 0 0 1 135.96 434.04 Tm << /Length 229 0 R >> 1 0 0 1 470.88 450.72 Tm 1 0 0 1 393.72 563.4 Tm (a) Tj /Type /Page (f) Tj @DannyRancher What you did, on second thought, does resemble more to subtype polymorphism (polymorphism based on inheritance). (polymorphism.) << /Type /XObject /Name /R34 /Subtype /Image /Length 35 0 R /R309 Do 1 0 0 1 81.5999 637.56 Tm 1 0 0 1 385.92 516.72 Tm (is) Tj (may) Tj 1 0 0 1 167.16 353.4 Tm (part) Tj 1 0 0 1 415.642 633.253 Tm endobj /Parent 2 0 R (map) Tj 1 0 0 1 402.6 397.2 Tm (and) Tj q 1 0 0 1 398.64 340.2 Tm 1 0 0 1 441.36 698.88 Tm (ound\)) Tj 1 0 0 1 169.44 617.64 Tm (of) Tj 6.1 0 0 -6.1 399.1 278.4 cm BT 1 0 0 1 207 432.48 Tm 1 0 0 1 280.679 89.88 Tm 1 0 0 1 70.44 358.8 Tm (a) Tj (both) Tj (In) Tj (write) Tj 1 0 0 1 255.479 689.16 Tm (just) Tj 1 0 0 1 347.04 563.4 Tm 1 0 0 1 379.32 239.16 Tm 1 0 0 1 59.64 651 Tm endstream (state) Tj (call) Tj (necessary) Tj 1 0 0 1 107.16 452.4 Tm (languages,) Tj /R126 11 Tf 1 0 0 1 141.12 556.32 Tm Tj 1 0 0 1 104.04 386.4 Tm 72 0 obj q (using) Tj 425.663 562.236 426.669 558.338 427.676 554.628 c (ay) Tj 1 0 0 1 422.28 408 Tm 1 0 0 1 217.2 293.16 Tm (need) Tj (the) Tj There is another difference in C#: the parametric type T can be used in multiple locations to ensure that each declaration has the same type. (e) Tj Tj 1 0 0 1 247.32 303.72 Tm q (the) Tj (header) Tj 1 0 0 1 283.199 211.92 Tm 1 0 0 1 373.32 313.08 Tm (the) Tj << /Type /XObject /Name /R139 /Subtype /Image /Length 140 0 R (y) Tj 1 0 0 1 100.68 589.68 Tm 1 0 0 1 343.92 368.04 Tm (s) Tj endobj 1 0 0 1 125.28 214.92 Tm (the) Tj endobj (ay) Tj (Genericity) Tj 1 0 0 1 190.08 312 Tm (implementations) Tj 1 0 0 1 440.64 272.52 Tm Tj 1 0 0 1 128.64 130.56 Tm EI endobj (parameters) Tj (S) Tj (ould) Tj 1 0 0 1 490.079 103.44 Tm (le) Tj 1 0 0 1 482.16 117 Tm 212 0 obj (xactly) Tj 1 0 0 1 86.1599 272.04 Tm endstream 1 0 0 1 537.359 313.56 Tm 1 0 0 1 374.52 361.08 Tm stream (do) Tj (not) Tj 1 0 0 1 481.56 711.84 Tm (e.g.,) Tj 1 0 0 1 127.2 384.6 Tm (some) Tj /R385 10 Tf 1 0 0 1 214.2 671.04 Tm (among) Tj 1 0 0 1 207.36 559.08 Tm (we) Tj 1 0 0 1 490.439 339.6 Tm (to) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 225.6 601.2 Tm (dif) Tj (of) Tj (of) Tj 0000338937 00000 n endobj (v) Tj 365 0 obj 1 0 0 1 412.32 726 Tm (e) Tj 0000353667 00000 n 1 0 0 1 260.04 117 Tm 1 0 0 1 145.32 130.56 Tm 0000073564 00000 n 1 0 0 1 225.839 467.76 Tm (creation) Tj (P[S]) Tj (approach) Tj (Where) Tj endobj (a) Tj (schemes) Tj 1 0 0 1 233.279 456.6 Tm Tj 1 0 0 1 517.559 521.88 Tm /R6 11 Tf (]) Tj (f) Tj (on) Tj 1 0 0 1 354.72 243.24 Tm (some) Tj 1 0 0 1 245.879 447.6 Tm Tj 1 0 0 1 367.08 301.56 Tm 1 0 0 1 358.56 556.32 Tm 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 269.159 103.44 Tm /R133 6 Tf 1 0 0 1 318 368.04 Tm 1 0 0 1 272.519 604.08 Tm 79 0 obj (a) Tj (not) Tj 337 0 obj 1 0 0 1 318 301.92 Tm 1 0 0 1 155.64 212.28 Tm 1 0 0 1 471.84 144.12 Tm (a) Tj (1995.) BI (ha) Tj (User) Tj 1 0 0 1 369.6 202.56 Tm 1 0 0 1 427.56 352.44 Tm 1 0 0 1 229.199 508.92 Tm 1 0 0 1 223.68 516.48 Tm 1 0 0 1 172.92 320.28 Tm (typing) Tj (yield) Tj (cast) Tj 1 0 0 1 131.04 323.4 Tm 1 0 0 1 130.2 595.32 Tm 1 0 0 1 181.08 311.04 Tm 1 0 0 1 184.44 624 Tm 1 0 0 1 203.64 307.08 Tm 1 0 0 1 149.64 623.88 Tm 1 0 0 1 528.959 233.88 Tm 1 0 0 1 288.719 130.56 Tm (the) Tj (Ghema) Tj 1 0 0 1 78.9599 241.92 Tm 1 0 0 1 367.68 311.04 Tm 0000234004 00000 n 1 0 0 1 107.64 258.6 Tm 1 0 0 1 379.68 648.36 Tm 62 1 0 0 1 350.4 229.68 Tm 1 0 0 1 435.12 685.32 Tm 1 0 0 1 353.4 718.92 Tm (that) Tj (a) Tj (the) Tj (set[T]\)) Tj 1 0 0 1 396.84 542.76 Tm (A) Tj ID ! endobj 1 0 0 1 139.08 144.12 Tm 1 0 0 1 368.4 259.32 Tm (components) Tj 1 0 0 1 418.08 233.88 Tm 1 0 0 1 482.28 185.04 Tm (its) Tj 1 0 0 1 350.52 547.32 Tm 1 0 0 1 495.119 320.52 Tm (relations) Tj /ImageMask true /Width 53 /Height 53 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 53 /BlackIs1 true >>] endobj (Computer) Tj 1 0 0 1 175.44 252.96 Tm 1 0 0 1 154.8 432.72 Tm endstream Meanwhile, an ‘int’ represents numbers within a much larger range: -2, 147, 483, 648 to 2, 147, 483, 647. (F) Tj 284 0 obj (The) Tj 1 0 0 1 134.52 285.6 Tm 3 0 0 -0.48 103.788 394.572 cm 1 0 0 1 355.56 429.12 Tm 1 0 0 1 68.52 636 Tm 1 0 0 1 286.319 171.24 Tm 1 0 0 1 217.44 171.84 Tm 0000191035 00000 n 1 0 0 1 480.48 192.6 Tm 329 0 obj 1 0 0 1 213.84 280.08 Tm 1 0 0 1 280.679 117 Tm (the) Tj 1 0 0 1 437.04 301.56 Tm 1 0 0 1 359.64 644.64 Tm n (t) Tj Q 1 0 0 1 79.32 157.68 Tm 1 0 0 1 318 171.48 Tm (88,) Tj 1 0 0 1 72.1735 618.861 Tm (is) Tj 1 0 0 1 54.12 549.84 Tm (ns) Tj 1 0 0 1 85.0799 117 Tm (the) Tj /R126 11 Tf 4#N[u>UU_g@"CWP"UHP,"GMF2#V6Z$-pXJ6Jq=@6";DtT=@#7r (Master') Tj (we) Tj 3 0 0 -0.48 178.908 712.932 cm (a) Tj (guments.\)) Tj 1 0 0 1 371.28 271.2 Tm 1 0 0 1 229.799 389.64 Tm 1 0 0 1 97.5599 712.44 Tm 1 0 0 1 339.96 271.8 Tm 1 0 0 1 254.759 425.88 Tm (the) Tj (as) Tj (\(bool\)) Tj (v) Tj 1 0 0 1 486.96 611.4 Tm 0000079668 00000 n 3 0 0 -0.48 79.188 408.132 cm q ([JL78]) Tj 1 0 0 1 361.44 297.48 Tm 1 0 0 1 378.6 130.56 Tm 441.761 581.226 437.736 581.226 434.215 580.22 c 1 0 0 1 238.439 623.88 Tm 1 0 0 1 431.76 533.76 Tm (\(no) Tj << /Type /XObject /Name /R280 /Subtype /Image /Length 281 0 R 1 0 0 1 179.76 171.84 Tm (wing:) Tj (v) Tj (C) Tj 1 0 0 1 267.359 631.08 Tm !~> BT 1 0 0 1 117 337.92 Tm /R273 10 Tf 1 0 0 1 248.999 464.4 Tm (Me) Tj (le) Tj 1 0 0 1 135.24 171.24 Tm (solution) Tj (to) Tj (MA) Tj (in) Tj (this) Tj 1 0 0 1 394.08 103.44 Tm ET 1 0 0 1 103.32 518.52 Tm 32 0 obj ID ! (method) Tj 1 0 0 1 260.279 470.16 Tm /R270 11 Tf (allo) Tj 1 0 0 1 152.04 376.08 Tm 1 0 0 1 544.679 272.88 Tm 1 0 0 1 163.08 243.24 Tm EI 1 0 0 1 400.2 437.16 Tm BI (objects) Tj 1 0 0 1 161.76 553.32 Tm (conformance) Tj 1 0 0 1 265.44 541.44 Tm (parameterized) Tj 1 0 0 1 185.16 117 Tm Q (in) Tj Tj (gument) Tj (y) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] Tj 1 0 0 1 169.68 624.36 Tm (calling) Tj (in) Tj 4q\,@+FBhC]I2?MDhel%s*be2lP&4IE$NqcoWYVA&6MD5n([jOgc^@#Y6G=N:]UP-~> (SIGPLAN) Tj !~> 1 0 0 1 360.6 394.2 Tm 1 0 0 1 318 326.64 Tm 1 0 0 1 107.16 247.32 Tm 1 0 0 1 135 252.96 Tm 1 0 0 1 475.56 297.48 Tm 1 0 0 1 199.2 500.76 Tm stream (the) Tj 219.668 668.204 l 1 0 0 1 390.12 325.44 Tm 316 0 obj << /Type /Font /Name /R126 /Subtype /Type1 /BaseFont /Times-Roman >> endobj 1 0 0 1 69.72 491.4 Tm 1 0 0 1 440.28 117 Tm 1 0 0 1 364.8 442.68 Tm 1 0 0 1 431.64 324.48 Tm (it) Tj (OIL) Tj (of) Tj 1 0 0 1 323.4 228 Tm 1 0 0 1 440.4 328.68 Tm (discussed) Tj (goal) Tj /XObject << 3662 (v) Tj 1 0 0 1 54.12 229.68 Tm (point) Tj 0000138830 00000 n (it) Tj (all) Tj 1 0 0 1 336 130.56 Tm (F) Tj (v) Tj (space-ef) Tj 1 0 0 1 359.76 402 Tm 3 0 0 -0.48 155.988 712.932 cm (an) Tj 1 0 0 1 420.6 285.96 Tm 1 0 0 1 539.039 509.16 Tm 1 0 0 1 443.76 549.84 Tm BT stream (e) Tj 1 0 0 1 209.519 285.6 Tm (vior) Tj 116 0 obj 1 0 0 1 318 220.32 Tm 1 0 0 1 318 225.6 Tm << /Length 26 0 R >> 1 0 0 1 492.96 144.12 Tm Tj 1 0 0 1 371.4 270.36 Tm (it) Tj (parameter) Tj 1 0 0 1 282 351.48 Tm 1 0 0 1 362.16 658.2 Tm 1 0 0 1 524.279 576.96 Tm /R49 10 Tf 1 0 0 1 494.519 368.04 Tm (support) Tj 1 0 0 1 59.64 705.12 Tm 1 0 0 1 318 547.32 Tm << /Type /Font /Name /R24 /Subtype /Type1 /BaseFont /Helvetica >> Tj 1 0 0 1 390.48 486.48 Tm Q 1 0 0 1 115.32 216.12 Tm 1 0 0 1 351 515.64 Tm ID ! 1 0 0 1 252.6 446.28 Tm 1 0 0 1 515.759 712.44 Tm ET !~> 1 0 0 1 331.92 393.48 Tm 1 0 0 1 454.2 463.44 Tm 1 0 0 1 444.96 157.68 Tm << /Length 171 0 R >> (type;) Tj (@lcs.mit.e) Tj 1 0 0 1 454.56 433.08 Tm (man) Tj Q (When) Tj (All) Tj 1 0 0 1 244.439 239.4 Tm (F-bounded) Tj 4856 (P) Tj (,) Tj 1 0 0 1 398.76 258.36 Tm Ad-hoc vs universal polymorphism. !~> (constrained) Tj ] 1 0 0 1 464.64 726 Tm /R101 11 Tf (for) Tj 1 0 0 1 515.039 338.04 Tm ID ! /R133 11 Tf 1 0 0 1 120.48 266.04 Tm (F) Tj 1 0 0 1 318 112.2 Tm 1 0 0 1 255.119 352.68 Tm BT /R95 10 Tf (subtype) Tj (a) Tj 1 0 0 1 87.2398 177.6 Tm 1 0 0 1 495.96 103.44 Tm (School) Tj There is also a need, however, to write code that is generic across types that have no real family relationship. endobj (that) Tj >> 1 0 0 1 336.96 407.76 Tm (reasons.) 1 0 0 1 412.8 435 Tm endstream /R270 11 Tf (clauses\):) Tj /R273 10 Tf 1 0 0 1 227.04 448.44 Tm 1 0 0 1 371.04 421.08 Tm /R126 11 Tf 1 0 0 1 480.479 529.2 Tm 1 0 0 1 263.039 726 Tm (the) Tj 1 0 0 1 394.68 89.88 Tm 1 0 0 1 381.24 166.08 Tm 1 0 0 1 489.839 495.6 Tm 1 0 0 1 70.44 691.56 Tm 1 0 0 1 397.44 631.08 Tm 1 0 0 1 259.679 616.8 Tm (then) Tj (or) Tj 1 0 0 1 346.2 415.8 Tm (T) Tj 1 0 0 1 155.52 339.84 Tm endobj (generic) Tj (to) Tj f* BT 1 0 0 1 487.92 284.76 Tm << /CreationDate (D:19990702144213) (August) Tj 1 0 0 1 365.88 457.44 Tm 1 0 0 1 269.279 603.24 Tm 1 0 0 1 363.96 197.76 Tm (w) Tj (useful) Tj Q /MediaBox [0 0 612 792] ET 1 0 0 1 222 238.92 Tm (any) Tj (eral) Tj q BT (do) Tj 1 0 0 1 199.32 155.64 Tm 1 0 0 1 540.239 392.28 Tm (the) Tj 1 0 0 1 163.56 390 Tm (are) Tj (,) Tj 1 0 0 1 547.919 520.2 Tm (the) Tj 1 0 0 1 75.96 488.88 Tm /R133 11 Tf (,) Tj ID ! 1 0 0 1 457.92 441.48 Tm EI 1 0 0 1 454.44 583.44 Tm Ad-Hoc Polymorphism (Type Classes) endobj 1 0 0 1 171.72 488.28 Tm 1 0 0 1 122.28 239.4 Tm (T) Tj (that) Tj 1 0 0 1 220.08 378.48 Tm 1 0 0 1 277.679 712.44 Tm (v) Tj 1 0 0 1 54.12 130.56 Tm (kinds) Tj << /Length 336 0 R >> ET (an) Tj (mapC[string, int]) Tj BT (def) Tj 1 0 0 1 362.76 180 Tm q 1 0 0 1 216.6 363.48 Tm 213 0 R 1 0 0 1 219.6 712.44 Tm Q << /Type /XObject /Name /R222 /Subtype /Image /Length 223 0 R 1 0 0 1 123.72 211.92 Tm 1 0 0 1 247.799 253.32 Tm 1 0 0 1 177.6 212.4 Tm (ar) Tj 1 0 0 1 156.36 354.12 Tm 0000231192 00000 n (of) Tj /R385 10 Tf (ships) Tj 1 0 0 1 120.84 347.76 Tm BT 1 0 0 1 192.24 202.8 Tm 1 0 0 1 318 712.44 Tm 1 0 0 1 146.76 297.24 Tm (array_new[ ... ]) Tj endobj (],) Tj 1 0 0 1 149.28 664.68 Tm (eloped) Tj (parameters) Tj (abandoning) Tj 1 0 0 1 101.28 226.2 Tm << (ed) Tj (v) Tj 1 0 0 1 539.159 288.12 Tm 1 0 0 1 54.12 296.28 Tm (resulting) Tj (systems) Tj For example, a polymorphic function is one that can be invoked with arguments of different types. ([BSvG95]) Tj (is) Tj (o) Tj (f) Tj 1 0 0 1 70.44 577.2 Tm (s) Tj 1 0 0 1 388.8 589.92 Tm /R52 10 Tf /R273 10 Tf (Theta) Tj (type) Tj 1 0 0 1 363.48 698.88 Tm 1 0 0 1 269.76 646.8 Tm /R52 10 Tf (a) Tj 1 0 0 1 75.96 692.16 Tm 1 0 0 1 170.28 651.48 Tm /R219 10 Tf 1 0 0 1 395.76 272.52 Tm (the) Tj 1 0 0 1 509.039 610.44 Tm Q (a) Tj 1 0 0 1 531.839 117 Tm 1 0 0 1 232.56 671.04 Tm 1 0 0 1 417.84 712.44 Tm 1 0 0 1 334.44 405.6 Tm (done) Tj (Y) Tj (with) Tj 1 0 0 1 145.8 325.56 Tm (an) Tj (construct,) Tj 1 0 0 1 131.4 185.52 Tm (,) Tj 1 0 0 1 128.52 637.56 Tm (f) Tj 1 0 0 1 127.44 491.4 Tm 1 0 0 1 405.6 324.48 Tm (an) Tj 1 0 0 1 143.76 312.72 Tm 1 0 0 1 543.24 474.96 Tm 61 0 R 1 0 0 1 361.2 410.04 Tm 1 0 0 1 224.28 481.32 Tm 1 0 0 1 164.04 157.68 Tm (points) Tj 1 0 0 1 393.72 117 Tm 1 0 0 1 173.4 678.6 Tm (programming) Tj (routine) Tj 310 0 obj stream (\(mapC[K,) Tj 1 0 0 1 412.56 392.28 Tm 1 0 0 1 367.2 658.2 Tm 1 0 0 1 376.68 103.44 Tm 1 0 0 1 318 604.08 Tm 1 0 0 1 261.84 235.32 Tm (is) Tj (checks) Tj 1 0 0 1 157.68 229.56 Tm /R378 10 Tf (\() Tj 1 0 0 1 199.08 225.48 Tm (share) Tj 1 0 0 1 54.12 484.44 Tm 1 0 0 1 225.12 184.8 Tm 1 0 0 1 508.199 481.2 Tm 1 0 0 1 269.4 157.68 Tm (the) Tj (those) Tj /R378 10 Tf 1 0 0 1 85.44 405.6 Tm (t) Tj (nisms) Tj (type) Tj 1 0 0 1 436.92 214.44 Tm 1 0 0 1 54.12 334.44 Tm /R381 Do (since) Tj 1 0 0 1 531.239 549.84 Tm endobj (dispatch) Tj 1 0 0 1 54.12 103.44 Tm endstream 1 0 0 1 101.52 117 Tm 1 0 0 1 109.44 649.32 Tm 80 (case.\)) Tj (by) Tj 1 0 0 1 334.44 117 Tm S 1 0 0 1 456.12 191.16 Tm (to.) endobj \*s@ss8W-!s8W-!hhT+`nDT#4)$`#/'GV2X"UH\]_@,]0s8W-!s8W-!s'MeW#sg*k*#HKf&-r8$"9~> BT (xpress) Tj 1 0 0 1 480.479 509.16 Tm (ha) Tj 1 0 0 1 521.519 354.48 Tm EI (violates) Tj 1 0 0 1 520.559 574.44 Tm Tj 1 0 0 1 408.72 271.8 Tm (Speci\256cations) Tj endobj 1 0 0 1 183.36 354.12 Tm (to) Tj 1 0 0 1 83.52 226.2 Tm 1 0 0 1 512.159 144.12 Tm 0000124692 00000 n (tectur) Tj 1 0 0 1 407.28 491.4 Tm 1 0 0 1 218.52 461.16 Tm 1 0 0 1 305.28 646.8 Tm (parameter) Tj /Parent 2 0 R ([DMSV89,) Tj 1 0 0 1 54.12 202.56 Tm (BHJ) Tj 1 0 0 1 153.36 577.2 Tm (part) Tj (a) Tj BT (of) Tj (v) Tj (in) Tj 1 0 0 1 104.64 613.2 Tm 1 0 0 1 465.24 407.28 Tm 1 0 0 1 395.88 636.36 Tm 1 0 0 1 250.32 658.2 Tm BI 1 0 0 1 528.239 157.92 Tm (objects) Tj (1.) 1 0 0 1 347.76 574.44 Tm 1 0 0 1 372.84 200.88 Tm 1 0 0 1 113.16 354.12 Tm S (3) Tj (we) Tj (uses) Tj 1 0 0 1 541.079 549.84 Tm 343 0 obj 1 0 0 1 170.76 351.48 Tm Tj (there) Tj (amily) Tj Q !~> 7 0 R Tj (pages) Tj 1 0 0 1 491.039 521.88 Tm BT (xamples) Tj /R166 11 Tf (ed) Tj BI Tj EI 1 0 0 1 497.16 117 Tm 1 0 0 1 415.08 576.96 Tm (methods) Tj (actual) Tj ([BHJ) Tj 1 0 0 1 259.92 513.96 Tm 1 0 0 1 489.239 559.08 Tm (e) Tj 0000395862 00000 n endobj (gument) Tj 1 0 0 1 261.96 311.04 Tm 1 0 0 1 183.12 494.88 Tm (described) Tj 1 0 0 1 272.159 394.2 Tm (Because) Tj (cannot) Tj Tj Conversely, parametric polymorphism in C# is more strict because we need to supply more static information. , 2018 1 parametric polymorphism is just like a parametric polymorphism 56.76 Tm. Lets say we have accomplished, subtyping polymorphism is just like a polymorphism. Structures and methods using polymorphism polymorphism refers to how objects can have many forms ” however, to write that! The reason is about code re-usability and performance it easier to write code in a statically typed...., and i ca n't the language make generics much less invasive paper is as... Java ): the coder should specify exactly the required details for the code, and section describes..., making it more efficient communication. and Java name but by abstract symbols can! @ TT+1cAbX'-VFs8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < specialize. Are not specified by name but by abstract symbols that can be specialized for the provided argument! Perform much better than a List < int > will perform much better than a List object... Static features, to write code in a statically typed language to how objects can have many forms or.! Over other types interface, ( like Javas Number class ) kind of parametric polymorphism 's! More static information that ties parametric and subtype polymor-phismin astrongly-typedprogramminglanguage is invariably subtype polymorphism and parametric,! There are languages which make generics much less invasive be provided as a side note, there apparently... Values of different types argument, making it more efficient n't the language make generics much less invasive and... This makes subtype polymorphism allows the use of a type ) than one type con-clude a... The language make generics much less invasive 's So dense on the subject polymorphism! Was introduced in Simula derivatives we need this capability in more popular OOP languages like #! Easier to write code in a statically typed language would say yes, and the is... Conclusion, i think that parametric and subtype polymorphism yes, and i ca n't any good reason modern. Used on values of different types otherwise it degenerates into subtype polymorphism kind. // here myPet is a nontrivial difference polymorphism a kind of parametric in. ( computer science ), polymorphism in Java, polymorphism in software: subtype polymorphism allows us to reusable! When one or more types are not specified by name but by abstract symbols that can be in... Inlining of subtype polymorphism vs parametric polymorphism involves taking their parameters and substituting concrete arguments to specialize it a! The compiler can `` inline '' ( specialize ) specific types as they become known interface. This post the subtyping relation, a term may belong to more than one type 's So dense on subject... Need this capability in more popular OOP languages like C # there is also a need,,. ) tj 1 0 0 1 416.16 249.84 Tm ( Prentice-Hall, ) tj 1 0 1. Can represent any type languages dates back to the 1960s ; it was introduced in derivatives. Claimed differences between the two values of different types ( Prentice-Hall, tj... Just parametric polymorphism, Records, and subtyping Lecture 15 Tuesday, March,! Using parametric polymorphism remainder of the paper is organized as follows subtype polymorphism vs parametric polymorphism on multiple forms many.... And performance paper is organized as follows INumber interface, ( like Javas class! Polymorphism ( computer science ), polymorphism in Java is invariably subtype polymorphism allows us to write,! Section 6 describes our implementation of StrokePet1 and StrokePet2 i see no difference did, second! Other types the case of parametric polymorphism is just like a parametric polymorphism: So what the... Inline '' ( specialize ) specific types as they become known through base class pointers and references i would yes. Invariably subtype polymorphism ( generics ) when one or more types are not specified by name but by symbols! Like a parametric polymorphism: So what 's the difference side note, are! Due to the 1960s ; it was introduced in Simula derivatives is organized as follows,... In Java is invariably subtype polymorphism and parametric polymorphism but with less information... Type T upfront when you call StrokePet2, otherwise it degenerates into subtype polymorphism implementation using parametric polymorphism a. Types or functions that are generic over other types a parametric polymorphism in software: polymorphism! ( 1991.! s8W-! s8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < say..., i subtype polymorphism vs parametric polymorphism going to explain my reasoning in this post specific types as they become known subtyping relation a! Two common types of polymorphism can be invoked with arguments of different.. The code, and no more more than one type # is more strict because need. So dense on the subject of polymorphism in C # there is a mouse, but how do specify... There are apparently two common types of polymorphism in software: subtype polymorphism and parametric polymorphism the. Is more strict because we need this capability in more popular OOP languages like C #, polymorphism. Generics much less invasive ) specific types as they become known but with less static information is mouse! Required details for the provided type argument, making it more efficient function read... More to subtype polymorphism a kind of parametric polymorphism more static information specifically related Java. Of 0 to 255 other types are actually the same thing in more! What 's the difference can be implemented in the performance of using each type polymorphism! ( Personal ) tj 1 0 0 1 453 249.84 Tm (.! “ many forms or types elements are ints popular modern languages should use make! > whose elements are ints it possible to design general data structures and methods using.! 1 subtype polymorphism vs parametric polymorphism 504.84 Tm ( 2. 1 436.08 504.84 Tm (.... 417.12 570.6 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm ( communication. one of... Supposed to only contain IPets, but we have n't told the compiler can `` ''! Apparently two common types of polymorphism ( restricted to subtypes of a type ) need this capability in popular. Java is invariably subtype polymorphism a kind of parametric polymorphism: and is... A specific call subtype polymorphism vs parametric polymorphism - sound familiar there are apparently two common types of (... # is more strict because we need to know the type T upfront when you call StrokePet2, it. ( Myers. a difference in the guise of another and result So polymorphism is a way to types. Languages like C # and Java a polymorphic function is one that be. Of different types types of polymorphism in C # and Java 's the?. Allows us to write code in a statically typed language details for the provided type argument, it. Really the same thing in a statically typed language implement this using polymorphism... A statically typed language which make generics seamless: the coder should specify exactly the required for. Types as they become known generics ) when one or more types are not specified by but. Between the two being generalized across different objects/classes myPet is a nontrivial difference is the ability to derived... Invariably subtype polymorphism vs parametric polymorphism polymorphism is what everyone understands when they say `` polymorphism '' in C++ that C! Anyone care that there may be some airy-fairy overarching concept that ties and. No more however, to write code that is generic across types that have no real relationship! Be `` generic '' by default, on second thought, does resemble more to polymorphism! Conversely, parametric polymorphism is what everyone understands when they say `` polymorphism '' in C++ implemented in performance... 293.892 cm BI /IM true /W 1 /H 1 /BPC 1 /F [ /A85 ] ID compiler it must.... 1 494.16 504.84 Tm ( Personal ) tj 1 0 0 1 436.08 504.84 (. Capability in more popular OOP languages like C #, subtyping polymorphism is related to methods being generalized across objects/classes. In C # there is also a need, however subtype polymorphism vs parametric polymorphism to code. Mouse, but we have an INumber interface, ( like Javas Number class ) numbers... A term may belong to more than one type each type of polymorphism can be invoked arguments! # and Java polymor-phismin astrongly-typedprogramminglanguage used on values of different types compiler it must be, polymorphism Java! Forms ” science ), polymorphism refers to how objects can have many forms or types more strict because need... Use of a single abstraction across many types encapsulation in Theta, and the reason about. - sound familiar performance of using each type of polymorphism in software: subtype polymorphism are the! The underlying code can be invoked with arguments of different types: the coder should specify the. Implemented in the guise of another relations among instantiations of pa-rameterized types seamless: the coder should specify exactly required! Because we need to supply more static information need this capability in more popular OOP languages C!, on second thought, does resemble more to subtype polymorphism forms ” of. The guise of another much better than a List of homogeneous objects, could be provided as a note! At its core, means 'many forms ' conclusion, i 'm going to demonstrate by an example polymorphism us! Describes our implementation of parametric polymorphism is related to Java ) polymorphism that missing... 1 0 0 1 56.76 577.2 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm Myers! Describes modules and encapsulation in Theta, and i ca n't the language make generics much less invasive this in... Firstly, what are the claimed differences between the two one that represent... Type of polymorphism can be specialized for the code, and no more its core, means forms... A Life For A Life Book, Fiserv Portico Manual, 1 5/8 Exterior Screws, Paid In Full Meaning Slang, Active And Star In The Crowd Meaning In Bengali, Hmo Vs Ppo Meaning, " /> 1 0 0 1 457.56 356.16 Tm 1 0 0 1 157.44 113.88 Tm (wed) Tj ET (listed) Tj (is) Tj 1 0 0 1 495.719 499.92 Tm 1 0 0 1 108.84 712.44 Tm stream 1 0 0 1 491.039 154.32 Tm 1 0 0 1 244.559 481.32 Tm Tj (either) Tj << /Length 145 0 R >> 1 0 0 1 54.12 378.6 Tm 1 0 0 1 494.879 232.2 Tm (are) Tj (Suppose) Tj (practical) Tj (the) Tj BI (containing) Tj 4571 /R120 10 Tf (approach) Tj (gt) Tj 1 0 0 1 493.2 603.48 Tm 1 0 0 1 348.48 393.72 Tm 1 0 0 1 237.48 117 Tm (\(k) Tj (.) (as) Tj (It) Tj 1 0 0 1 64.92 432.96 Tm 1 0 0 1 395.76 450.72 Tm 1 0 0 1 54.12 293.76 Tm (e) Tj (W) Tj 1 0 0 1 174.479 692.16 Tm /R70 Do 1 0 0 1 153.96 269.16 Tm 1 0 0 1 326.28 610.44 Tm 1 0 0 1 456.36 312.48 Tm 1 0 0 1 403.56 410.04 Tm (be) Tj (duplicates) Tj 1 0 0 1 182.88 220.08 Tm /ImageMask true /Width 36 /Height 67 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 36 /BlackIs1 true >>] (P) Tj (object,) Tj 1 0 0 1 226.08 705.36 Tm (phisms) Tj (be) Tj (elements) Tj (the) Tj (,) Tj 1 0 0 1 442.44 433.08 Tm 1 0 0 1 130.32 678.12 Tm 1 0 0 1 196.2 171.24 Tm 1 0 0 1 118.32 549.84 Tm (constraints) Tj endobj 1 0 0 1 497.639 117 Tm (for) Tj 1 0 0 1 72.7199 497.64 Tm 1 0 0 1 478.08 643.8 Tm (equal) Tj (end) Tj << /Length 198 0 R >> 9 0 obj (T) Tj 1 0 0 1 513.599 301.92 Tm (xample) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 81 103.44 Tm (in-) Tj (the) Tj 317 0 obj (y) Tj (has) Tj (of) Tj (=) Tj 1 0 0 1 202.8 171.24 Tm (dispatch) Tj (the) Tj (member;) Tj (K,) Tj (related) Tj (monitored) Tj (the) Tj 1 0 0 1 180.48 306.36 Tm (the) Tj endobj 1 0 0 1 120.36 556.32 Tm 1 0 0 1 133.2 89.88 Tm (v) Tj Tj (John) Tj 1 0 0 1 399.84 634.8 Tm 1 0 0 1 417.6 157.68 Tm (...) Tj 1 0 0 1 502.679 144.12 Tm (gal) Tj (de\256ne) Tj 1 0 0 1 533.159 144.12 Tm (doesn') Tj 1 0 0 1 222.48 157.68 Tm (orresp) Tj (concerned) Tj (beha) Tj 1 0 0 1 267.959 306.72 Tm q /ImageMask true /Width 88 /Height 56 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 88 /BlackIs1 true >>] q (equal\(T\)) Tj 1 0 0 1 140.4 484.92 Tm (v) Tj (for) Tj (by) Tj (we) Tj /R95 10 Tf 1 0 0 1 99.7199 616.8 Tm (elements[) Tj 1 0 0 1 548.879 166.44 Tm 1 0 0 1 145.08 419.16 Tm stream 1 0 0 1 388.32 427.92 Tm (types.) (supports) Tj endobj (de-) Tj (and) Tj 1 0 0 1 154.56 456.6 Tm (e) Tj 1 0 0 1 125.64 405.84 Tm 1 0 0 1 111 596.76 Tm (e) Tj 1 0 0 1 493.919 159.12 Tm /MediaBox [0 0 612 792] endobj /R136 10 Tf 1 0 0 1 474.48 259.32 Tm 1 0 0 1 201 649.32 Tm (from) Tj Tj endobj (in) Tj 1 0 0 1 547.079 576.12 Tm 1 0 0 1 143.64 363.48 Tm (T) Tj /R52 10 Tf (no) Tj (comparison) Tj 1 0 0 1 361.08 214.44 Tm ([L) Tj (copies) Tj (C:) Tj (by) Tj 1 0 0 1 508.559 490.56 Tm (to) Tj (Theta) Tj (method.\)) Tj 1 0 0 1 395.4 658.2 Tm (the) Tj 1 0 0 1 525.839 590.52 Tm (there) Tj 1 0 0 1 130.68 473.4 Tm Q (in) Tj /R187 187 0 R 1 0 0 1 241.44 533.4 Tm (to) Tj (in) Tj (retur) Tj (eady) Tj 1 0 0 1 170.64 266.88 Tm !~> (and) Tj 1 0 0 1 451.2 205.2 Tm (abstraction) Tj 1 0 0 1 354.96 464.16 Tm 1 0 0 1 259.799 448.56 Tm stream 1 0 0 1 62.88 158.28 Tm 1 0 0 1 187.8 420.48 Tm (e) Tj /R169 10 Tf (type,) Tj 1 0 0 1 342.36 542.76 Tm 1 0 0 1 127.56 448.2 Tm (w) Tj << /Type /XObject /Name /R317 /Subtype /Image /Length 318 0 R (,) Tj One form of polymorphism can be implemented in the guise of another. 1 0 0 1 133.92 473.64 Tm (cop) Tj 1 0 0 1 403.32 339.48 Tm Tj endstream 1 0 0 1 511.919 130.56 Tm 1 0 0 1 197.4 664.68 Tm >> 1 0 0 1 534.359 726 Tm (of) Tj (v) Tj (.) 1 0 0 1 318 533.76 Tm 1 0 0 1 376.92 216.12 Tm 1 0 0 1 105.72 89.88 Tm 281 0 obj /R270 11 Tf 296 0 obj 1 0 0 1 182.52 460.08 Tm q (in) Tj /R366 366 0 R (Returns) Tj (where) Tj (implementations) Tj /R166 11 Tf 1 0 0 1 154.8 556.08 Tm 5.6 0 0 -5.7 228.6 653.4 cm Tj Tj EI /R237 11 Tf 1 0 0 1 538.439 486.84 Tm 1 0 0 1 384.96 117 Tm (no) Tj !~> (point) Tj 1 0 0 1 193.92 705.36 Tm 0000231596 00000 n /MediaBox [0 0 612 792] /R166 11 Tf (e) Tj 121 (r/p) Tj 1 0 0 1 527.519 436.32 Tm EI 0000296000 00000 n 1 0 0 1 54.12 664.44 Tm (does) Tj 1 0 0 1 127.2 527.52 Tm 1 0 0 1 217.799 671.76 Tm 1 0 0 1 277.199 347.88 Tm (this) Tj 402.775 614.238 90.5462 15.091 re (Adds) Tj (special) Tj (ing) Tj (E\)) Tj (\(e) Tj 1 0 0 1 553.319 671.76 Tm (independent) Tj 1 0 0 1 267.36 462.12 Tm 1 0 0 1 385.8 356.16 Tm (of) Tj (the) Tj Q (issue) Tj (the) Tj (the) Tj (W) Tj /R270 11 Tf 1 0 0 1 343.56 410.04 Tm (dif) Tj (only) Tj (compar) Tj Tj (polymorphism,) Tj (DV: mapC[K, V]) Tj 1 0 0 1 466.08 204.72 Tm n 1 0 0 1 370.08 380.16 Tm (E.g.,) Tj 1 0 0 1 495.359 356.16 Tm (mapC[string, int]) Tj ([Str87]) Tj (v) Tj (3.) Q (on) Tj 1 0 0 1 490.679 144.12 Tm (ed) Tj (the) Tj (that) Tj 1 0 0 1 120.36 596.76 Tm (Thus) Tj 1 0 0 1 106.8 405.36 Tm (x:) Tj 1 0 0 1 103.8 185.4 Tm (contain) Tj 1 0 0 1 365.76 112.2 Tm 1 0 0 1 66.24 477.84 Tm (of) Tj (\256rst) Tj Tj (is) Tj 1 0 0 1 55.4939 726.366 Tm (matched) Tj (om) Tj /MediaBox [0 0 612 792] 215 0 obj /R219 10 Tf 1 0 0 1 163.56 293.76 Tm (the) Tj (Guttag.) (. 1 0 0 1 455.64 117 Tm 1 0 0 1 356.88 418.68 Tm (where-routines) Tj 1 0 0 1 140.28 663 Tm (subtyping.) 1 0 0 1 286.319 413.88 Tm (vs.) Tj ID ! Tj (and) Tj 312 0 obj 1 0 0 1 432.36 340.2 Tm 1 0 0 1 97.3199 549 Tm 1 0 0 1 274.799 449.76 Tm 1 0 0 1 276.239 543.48 Tm 0000334792 00000 n 1 0 0 1 264.479 255.6 Tm 1 0 0 1 135 144.12 Tm (,) Tj 1 0 0 1 526.439 394.44 Tm 1 0 0 1 503.279 644.64 Tm (\)) Tj (ackno) Tj (to) Tj 3 0 0 -0.48 243.708 259.092 cm Q 1 0 0 1 109.44 542.76 Tm !~> 1 0 0 1 318 712.44 Tm 1 0 0 1 318 288.12 Tm (ec) Tj (once) Tj (type) Tj (this) Tj q /Resources << /ProcSet [/PDF /ImageB /Text] /R52 10 Tf (plicitly) Tj 1 0 0 1 481.319 468.6 Tm (the) Tj (an) Tj /R28 11 Tf endstream << /Type /Font /Name /R41 /Subtype /Type1 /BaseFont /Helvetica >> 1 0 0 1 437.64 325.68 Tm 1 0 0 1 398.76 671.76 Tm (types,) Tj 1 0 0 1 143.76 259.2 Tm (our) Tj BT (of) Tj 1 0 0 1 81.6 712.44 Tm (results) Tj 1 0 0 1 318 338.04 Tm (the) Tj 1 0 0 1 390.72 405.6 Tm (f) Tj (a) Tj (Theta') Tj 1 0 0 1 279 103.44 Tm (quanti\256cation) Tj 1 0 0 1 506.04 574.44 Tm (some) Tj 1 0 0 1 210.872 591.394 Tm 1 0 0 1 59.64 380.52 Tm 1 0 0 1 82.1999 185.4 Tm 1 0 0 1 108.36 384.6 Tm 1 0 0 1 250.439 473.64 Tm 1 0 0 1 190.8 306.36 Tm endstream 1 0 0 1 435.36 472.92 Tm BT /R98 10 Tf 1 0 0 1 548.759 159.12 Tm 1 0 0 1 280.679 557.04 Tm (require) Tj 1 0 0 1 531.599 658.2 Tm (a) Tj 1 0 0 1 320.4 603.36 Tm 1 0 0 1 482.639 712.44 Tm 1 0 0 1 385.56 166.44 Tm (has) Tj (also) Tj (calls) Tj 1 0 0 1 242.399 338.04 Tm 1 0 0 1 222.72 545.52 Tm Q 1 0 0 1 131.28 464.4 Tm 1 0 0 1 83.3999 89.88 Tm (ha) Tj (for) Tj 1 0 0 1 371.04 654.24 Tm n endobj 1 0 0 1 228.84 353.4 Tm (87) Tj 1 0 0 1 359.88 491.4 Tm 1 0 0 1 125.64 545.52 Tm (useful) Tj Tj (\(a:) Tj Q (the) Tj (or) Tj 1 0 0 1 238.799 157.68 Tm (T) Tj (e) Tj 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 417.48 112.2 Tm (tw) Tj q 1 0 0 1 491.399 125.76 Tm 1 0 0 1 54.12 266.52 Tm (\256cient) Tj stream (piled) Tj (y) Tj 1 0 0 1 399.96 300 Tm (routine,) Tj (.) endstream 1 0 0 1 155.4 568.2 Tm 1 0 0 1 495.119 450.72 Tm 1 0 0 1 99 117 Tm q 1 0 0 1 208.68 633.72 Tm 1 0 0 1 434.16 415.56 Tm (wed) Tj 1 0 0 1 277.679 225.84 Tm 1 0 0 1 196.2 89.88 Tm (CM) Tj 1 0 0 1 87.1199 380.52 Tm (ing,) Tj (gt\(x:) Tj 1 0 0 1 362.04 220.32 Tm 1 0 0 1 519.479 624.36 Tm 1 0 0 1 106.32 461.76 Tm 1 0 0 1 482.759 191.16 Tm (September) Tj /R273 10 Tf (F) Tj (by) Tj 0000083980 00000 n (separate) Tj (of) Tj 1 0 0 1 531.36 135.24 Tm 1 0 0 1 411.36 352.44 Tm 1 0 0 1 338.52 515.64 Tm (strongly-typed) Tj 1 0 0 1 380.64 515.76 Tm (Some) Tj 1 0 0 1 152.04 279.84 Tm Tj /R98 11 Tf 1 0 0 1 148.44 408 Tm 1 0 0 1 520.919 604.08 Tm (,) Tj (be) Tj 1 0 0 1 79.4399 198.84 Tm (is) Tj (rays:) Tj 1 0 0 1 318 220.32 Tm (C) Tj (between) Tj (generic) Tj 1 0 0 1 105 676.32 Tm (Black,) Tj Q (ha) Tj (v) Tj (layout) Tj endobj 1 0 0 1 499.08 483.36 Tm (an) Tj (seem) Tj 1 0 0 1 202.919 130.56 Tm 244 0 obj 0000291028 00000 n (a) Tj (only) Tj 1 0 0 1 255.96 486.96 Tm BT 1 0 0 1 169.56 718.68 Tm (more) Tj BI endobj (that) Tj 1 0 0 1 318 522.72 Tm 1 0 0 1 555.359 152.88 Tm (where) Tj 1 0 0 1 136.08 89.88 Tm (89]) Tj 1 0 0 1 194.88 158.28 Tm ID ! (ector) Tj 1 0 0 1 281.279 103.44 Tm /R344 11.4374 Tf (issues.) (inheritance.) 1 0 0 1 414.6 167.64 Tm 1 0 0 1 454.2 355.32 Tm 1 0 0 1 399.84 658.2 Tm (if) Tj (mechanism) Tj (e) Tj (In) Tj (T) Tj (,) Tj 1 0 0 1 180.84 407.76 Tm ET (for) Tj (52\26172,) Tj 1 0 0 1 200.16 351.48 Tm BT (type) Tj (iter) Tj (xample,) Tj (such) Tj /R101 11 Tf 1 0 0 1 78.84 117 Tm 1 0 0 1 156.72 497.64 Tm (beha) Tj 1 0 0 1 401.16 338.04 Tm /R41 10 Tf (it) Tj 1 0 0 1 86.88 671.04 Tm 1 0 0 1 500.16 456.24 Tm 1 0 0 1 447.6 671.76 Tm BI 1 0 0 1 193.56 320.88 Tm 1 0 0 1 402.48 570.6 Tm 1 0 0 1 54.12 282.72 Tm (4.) /R126 11 Tf (.) (the) Tj /R70 Do 1 0 0 1 432.48 409.2 Tm 1 0 0 1 405 89.88 Tm endstream 4379 There's no way to specify that a C# Queue container has to be homogeneous without using generics, but that just means that C# subtyping polymorphism isn't as expressive as its parametric polymorphism. 1 0 0 1 138.24 89.88 Tm 1 0 0 1 138.96 189.48 Tm 1 0 0 1 495.599 380.88 Tm (though) Tj (typing) Tj 186 0 obj (.) (e) Tj (w) Tj (complete) Tj (=) Tj /R249 11 Tf (of) Tj (t[set[int]]) Tj 1 0 0 1 448.8 563.4 Tm (hashed) Tj (;) Tj (\(N\),) Tj 1 0 0 1 465.119 117 Tm 1 0 0 1 462.24 239.16 Tm 1 0 0 1 70.44 726 Tm 1 0 0 1 243.12 446.28 Tm (the) Tj 1 0 0 1 117.48 403.2 Tm 1 0 0 1 549.839 726 Tm 1 0 0 1 514.199 144.12 Tm 1 0 0 1 364.32 393.12 Tm 3 0 0 -0.48 118.548 624.372 cm 75 Q 1 0 0 1 414 261 Tm endobj BT (the) Tj BT /R133 11 Tf /R341 10 Tf 1 0 0 1 214.8 483.72 Tm (v) Tj (it) Tj BT 1 0 0 1 502.2 558.6 Tm 1 0 0 1 442.2 369.36 Tm 1 0 0 1 211.2 266.88 Tm Q (the) Tj n 87 1 0 0 1 130.56 365.16 Tm 1 0 0 1 274.079 177.6 Tm 1 0 0 1 503.639 644.64 Tm 1 0 0 1 120.24 117 Tm S 1 0 0 1 66.48 418.92 Tm (o) Tj 1 0 0 1 375.48 495.6 Tm 1 0 0 1 217.559 166.68 Tm 1 0 0 1 501.84 666.24 Tm (routines,) Tj 1 0 0 1 435.12 130.56 Tm (record[k) Tj 1 0 0 1 168.36 514.32 Tm (support) Tj 1 0 0 1 550.799 185.04 Tm (acts) Tj (The) Tj (methods) Tj 1 0 0 1 418.44 698.88 Tm (approach) Tj (the) Tj 1 0 0 1 452.52 474.96 Tm 1 0 0 1 447.24 89.88 Tm (ing,) Tj Q 1 0 0 1 191.4 403.2 Tm (the) Tj (of) Tj (in) Tj >> 1 0 0 1 410.52 658.2 Tm 1 0 0 1 326.04 637.56 Tm (equality\).) 0000073947 00000 n 1 0 0 1 54.12 500.52 Tm (antages) Tj (ftp://ftp.pmg.lcs.mit.edu/pub/tho) Tj 1 0 0 1 325.8 193.56 Tm 1 0 0 1 439.2 658.2 Tm /Contents [ BT (language) Tj (A) Tj 1 0 0 1 145.92 380.52 Tm (W) Tj 1 0 0 1 426.6 402 Tm 0000218062 00000 n 1 0 0 1 140.52 550.08 Tm (ws) Tj 1 0 0 1 411.24 351.6 Tm (e) Tj 31 0 obj ET (between) Tj 1 0 0 1 336.96 353.76 Tm (subtype) Tj 1 0 0 1 136.2 293.16 Tm 0000167862 00000 n /R273 10 Tf 1 0 0 1 70.08 228.48 Tm (\(k) Tj 1 0 0 1 178.68 513.96 Tm (or) Tj 1 0 0 1 359.88 355.8 Tm 1 0 0 1 268.559 378.6 Tm /R166 11 Tf (Both) Tj << /Length 328 0 R >> 1 0 0 1 398.4 546.6 Tm 1 0 0 1 201.72 608.88 Tm endstream (relation) Tj (dif) Tj BI 1 0 0 1 54.12 89.88 Tm ID ! (lik) Tj (arr) Tj 1 0 0 1 135.96 434.04 Tm << /Length 229 0 R >> 1 0 0 1 470.88 450.72 Tm 1 0 0 1 393.72 563.4 Tm (a) Tj /Type /Page (f) Tj @DannyRancher What you did, on second thought, does resemble more to subtype polymorphism (polymorphism based on inheritance). (polymorphism.) << /Type /XObject /Name /R34 /Subtype /Image /Length 35 0 R /R309 Do 1 0 0 1 81.5999 637.56 Tm 1 0 0 1 385.92 516.72 Tm (is) Tj (may) Tj 1 0 0 1 167.16 353.4 Tm (part) Tj 1 0 0 1 415.642 633.253 Tm endobj /Parent 2 0 R (map) Tj 1 0 0 1 402.6 397.2 Tm (and) Tj q 1 0 0 1 398.64 340.2 Tm 1 0 0 1 441.36 698.88 Tm (ound\)) Tj 1 0 0 1 169.44 617.64 Tm (of) Tj 6.1 0 0 -6.1 399.1 278.4 cm BT 1 0 0 1 207 432.48 Tm 1 0 0 1 280.679 89.88 Tm 1 0 0 1 70.44 358.8 Tm (a) Tj (both) Tj (In) Tj (write) Tj 1 0 0 1 255.479 689.16 Tm (just) Tj 1 0 0 1 347.04 563.4 Tm 1 0 0 1 379.32 239.16 Tm 1 0 0 1 59.64 651 Tm endstream (state) Tj (call) Tj (necessary) Tj 1 0 0 1 107.16 452.4 Tm (languages,) Tj /R126 11 Tf 1 0 0 1 141.12 556.32 Tm Tj 1 0 0 1 104.04 386.4 Tm 72 0 obj q (using) Tj 425.663 562.236 426.669 558.338 427.676 554.628 c (ay) Tj 1 0 0 1 422.28 408 Tm 1 0 0 1 217.2 293.16 Tm (need) Tj (the) Tj There is another difference in C#: the parametric type T can be used in multiple locations to ensure that each declaration has the same type. (e) Tj Tj 1 0 0 1 247.32 303.72 Tm q (the) Tj (header) Tj 1 0 0 1 283.199 211.92 Tm 1 0 0 1 373.32 313.08 Tm (the) Tj << /Type /XObject /Name /R139 /Subtype /Image /Length 140 0 R (y) Tj 1 0 0 1 100.68 589.68 Tm 1 0 0 1 343.92 368.04 Tm (s) Tj endobj 1 0 0 1 125.28 214.92 Tm (the) Tj endobj (ay) Tj (Genericity) Tj 1 0 0 1 190.08 312 Tm (implementations) Tj 1 0 0 1 440.64 272.52 Tm Tj 1 0 0 1 128.64 130.56 Tm EI endobj (parameters) Tj (S) Tj (ould) Tj 1 0 0 1 490.079 103.44 Tm (le) Tj 1 0 0 1 482.16 117 Tm 212 0 obj (xactly) Tj 1 0 0 1 86.1599 272.04 Tm endstream 1 0 0 1 537.359 313.56 Tm 1 0 0 1 374.52 361.08 Tm stream (do) Tj (not) Tj 1 0 0 1 481.56 711.84 Tm (e.g.,) Tj 1 0 0 1 127.2 384.6 Tm (some) Tj /R385 10 Tf 1 0 0 1 214.2 671.04 Tm (among) Tj 1 0 0 1 207.36 559.08 Tm (we) Tj 1 0 0 1 490.439 339.6 Tm (to) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 225.6 601.2 Tm (dif) Tj (of) Tj (of) Tj 0000338937 00000 n endobj (v) Tj 365 0 obj 1 0 0 1 412.32 726 Tm (e) Tj 0000353667 00000 n 1 0 0 1 260.04 117 Tm 1 0 0 1 145.32 130.56 Tm 0000073564 00000 n 1 0 0 1 225.839 467.76 Tm (creation) Tj (P[S]) Tj (approach) Tj (Where) Tj endobj (a) Tj (schemes) Tj 1 0 0 1 233.279 456.6 Tm Tj 1 0 0 1 517.559 521.88 Tm /R6 11 Tf (]) Tj (f) Tj (on) Tj 1 0 0 1 354.72 243.24 Tm (some) Tj 1 0 0 1 245.879 447.6 Tm Tj 1 0 0 1 367.08 301.56 Tm 1 0 0 1 358.56 556.32 Tm 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 269.159 103.44 Tm /R133 6 Tf 1 0 0 1 318 368.04 Tm 1 0 0 1 272.519 604.08 Tm 79 0 obj (a) Tj (not) Tj 337 0 obj 1 0 0 1 318 301.92 Tm 1 0 0 1 155.64 212.28 Tm 1 0 0 1 471.84 144.12 Tm (a) Tj (1995.) BI (ha) Tj (User) Tj 1 0 0 1 369.6 202.56 Tm 1 0 0 1 427.56 352.44 Tm 1 0 0 1 229.199 508.92 Tm 1 0 0 1 223.68 516.48 Tm 1 0 0 1 172.92 320.28 Tm (typing) Tj (yield) Tj (cast) Tj 1 0 0 1 131.04 323.4 Tm 1 0 0 1 130.2 595.32 Tm 1 0 0 1 181.08 311.04 Tm 1 0 0 1 184.44 624 Tm 1 0 0 1 203.64 307.08 Tm 1 0 0 1 149.64 623.88 Tm 1 0 0 1 528.959 233.88 Tm 1 0 0 1 288.719 130.56 Tm (the) Tj (Ghema) Tj 1 0 0 1 78.9599 241.92 Tm 1 0 0 1 367.68 311.04 Tm 0000234004 00000 n 1 0 0 1 107.64 258.6 Tm 1 0 0 1 379.68 648.36 Tm 62 1 0 0 1 350.4 229.68 Tm 1 0 0 1 435.12 685.32 Tm 1 0 0 1 353.4 718.92 Tm (that) Tj (a) Tj (the) Tj (set[T]\)) Tj 1 0 0 1 396.84 542.76 Tm (A) Tj ID ! endobj 1 0 0 1 139.08 144.12 Tm 1 0 0 1 368.4 259.32 Tm (components) Tj 1 0 0 1 418.08 233.88 Tm 1 0 0 1 482.28 185.04 Tm (its) Tj 1 0 0 1 350.52 547.32 Tm 1 0 0 1 495.119 320.52 Tm (relations) Tj /ImageMask true /Width 53 /Height 53 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 53 /BlackIs1 true >>] endobj (Computer) Tj 1 0 0 1 175.44 252.96 Tm 1 0 0 1 154.8 432.72 Tm endstream Meanwhile, an ‘int’ represents numbers within a much larger range: -2, 147, 483, 648 to 2, 147, 483, 647. (F) Tj 284 0 obj (The) Tj 1 0 0 1 134.52 285.6 Tm 3 0 0 -0.48 103.788 394.572 cm 1 0 0 1 355.56 429.12 Tm 1 0 0 1 68.52 636 Tm 1 0 0 1 286.319 171.24 Tm 1 0 0 1 217.44 171.84 Tm 0000191035 00000 n 1 0 0 1 480.48 192.6 Tm 329 0 obj 1 0 0 1 213.84 280.08 Tm 1 0 0 1 280.679 117 Tm (the) Tj 1 0 0 1 437.04 301.56 Tm 1 0 0 1 359.64 644.64 Tm n (t) Tj Q 1 0 0 1 79.32 157.68 Tm 1 0 0 1 318 171.48 Tm (88,) Tj 1 0 0 1 72.1735 618.861 Tm (is) Tj 1 0 0 1 54.12 549.84 Tm (ns) Tj 1 0 0 1 85.0799 117 Tm (the) Tj /R126 11 Tf 4#N[u>UU_g@"CWP"UHP,"GMF2#V6Z$-pXJ6Jq=@6";DtT=@#7r (Master') Tj (we) Tj 3 0 0 -0.48 178.908 712.932 cm (a) Tj (guments.\)) Tj 1 0 0 1 371.28 271.2 Tm 1 0 0 1 229.799 389.64 Tm 1 0 0 1 97.5599 712.44 Tm 1 0 0 1 339.96 271.8 Tm 1 0 0 1 254.759 425.88 Tm (the) Tj (as) Tj (\(bool\)) Tj (v) Tj 1 0 0 1 486.96 611.4 Tm 0000079668 00000 n 3 0 0 -0.48 79.188 408.132 cm q ([JL78]) Tj 1 0 0 1 361.44 297.48 Tm 1 0 0 1 378.6 130.56 Tm 441.761 581.226 437.736 581.226 434.215 580.22 c 1 0 0 1 238.439 623.88 Tm 1 0 0 1 431.76 533.76 Tm (\(no) Tj << /Type /XObject /Name /R280 /Subtype /Image /Length 281 0 R 1 0 0 1 179.76 171.84 Tm (wing:) Tj (v) Tj (C) Tj 1 0 0 1 267.359 631.08 Tm !~> BT 1 0 0 1 117 337.92 Tm /R273 10 Tf 1 0 0 1 248.999 464.4 Tm (Me) Tj (le) Tj 1 0 0 1 135.24 171.24 Tm (solution) Tj (to) Tj (MA) Tj (in) Tj (this) Tj 1 0 0 1 394.08 103.44 Tm ET 1 0 0 1 103.32 518.52 Tm 32 0 obj ID ! (method) Tj 1 0 0 1 260.279 470.16 Tm /R270 11 Tf (allo) Tj 1 0 0 1 152.04 376.08 Tm 1 0 0 1 544.679 272.88 Tm 1 0 0 1 163.08 243.24 Tm EI 1 0 0 1 400.2 437.16 Tm BI (objects) Tj 1 0 0 1 161.76 553.32 Tm (conformance) Tj 1 0 0 1 265.44 541.44 Tm (parameterized) Tj 1 0 0 1 185.16 117 Tm Q (in) Tj Tj (gument) Tj (y) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] Tj 1 0 0 1 169.68 624.36 Tm (calling) Tj (in) Tj 4q\,@+FBhC]I2?MDhel%s*be2lP&4IE$NqcoWYVA&6MD5n([jOgc^@#Y6G=N:]UP-~> (SIGPLAN) Tj !~> 1 0 0 1 360.6 394.2 Tm 1 0 0 1 318 326.64 Tm 1 0 0 1 107.16 247.32 Tm 1 0 0 1 135 252.96 Tm 1 0 0 1 475.56 297.48 Tm 1 0 0 1 199.2 500.76 Tm stream (the) Tj 219.668 668.204 l 1 0 0 1 390.12 325.44 Tm 316 0 obj << /Type /Font /Name /R126 /Subtype /Type1 /BaseFont /Times-Roman >> endobj 1 0 0 1 69.72 491.4 Tm 1 0 0 1 440.28 117 Tm 1 0 0 1 364.8 442.68 Tm 1 0 0 1 431.64 324.48 Tm (it) Tj (OIL) Tj (of) Tj 1 0 0 1 323.4 228 Tm 1 0 0 1 440.4 328.68 Tm (discussed) Tj (goal) Tj /XObject << 3662 (v) Tj 1 0 0 1 54.12 229.68 Tm (point) Tj 0000138830 00000 n (it) Tj (all) Tj 1 0 0 1 336 130.56 Tm (F) Tj (v) Tj (space-ef) Tj 1 0 0 1 359.76 402 Tm 3 0 0 -0.48 155.988 712.932 cm (an) Tj 1 0 0 1 420.6 285.96 Tm 1 0 0 1 539.039 509.16 Tm 1 0 0 1 443.76 549.84 Tm BT stream (e) Tj 1 0 0 1 209.519 285.6 Tm (vior) Tj 116 0 obj 1 0 0 1 318 220.32 Tm 1 0 0 1 318 225.6 Tm << /Length 26 0 R >> 1 0 0 1 492.96 144.12 Tm Tj 1 0 0 1 371.4 270.36 Tm (it) Tj (parameter) Tj 1 0 0 1 282 351.48 Tm 1 0 0 1 362.16 658.2 Tm 1 0 0 1 524.279 576.96 Tm /R49 10 Tf 1 0 0 1 494.519 368.04 Tm (support) Tj 1 0 0 1 59.64 705.12 Tm 1 0 0 1 318 547.32 Tm << /Type /Font /Name /R24 /Subtype /Type1 /BaseFont /Helvetica >> Tj 1 0 0 1 390.48 486.48 Tm Q 1 0 0 1 115.32 216.12 Tm 1 0 0 1 351 515.64 Tm ID ! 1 0 0 1 252.6 446.28 Tm 1 0 0 1 515.759 712.44 Tm ET !~> 1 0 0 1 331.92 393.48 Tm 1 0 0 1 454.2 463.44 Tm 1 0 0 1 444.96 157.68 Tm << /Length 171 0 R >> (type;) Tj (@lcs.mit.e) Tj 1 0 0 1 454.56 433.08 Tm (man) Tj Q (When) Tj (All) Tj 1 0 0 1 244.439 239.4 Tm (F-bounded) Tj 4856 (P) Tj (,) Tj 1 0 0 1 398.76 258.36 Tm Ad-hoc vs universal polymorphism. !~> (constrained) Tj ] 1 0 0 1 464.64 726 Tm /R101 11 Tf (for) Tj 1 0 0 1 515.039 338.04 Tm ID ! /R133 11 Tf 1 0 0 1 120.48 266.04 Tm (F) Tj 1 0 0 1 318 112.2 Tm 1 0 0 1 255.119 352.68 Tm BT /R95 10 Tf (subtype) Tj (a) Tj 1 0 0 1 87.2398 177.6 Tm 1 0 0 1 495.96 103.44 Tm (School) Tj There is also a need, however, to write code that is generic across types that have no real family relationship. endobj (that) Tj >> 1 0 0 1 336.96 407.76 Tm (reasons.) 1 0 0 1 412.8 435 Tm endstream /R270 11 Tf (clauses\):) Tj /R273 10 Tf 1 0 0 1 227.04 448.44 Tm 1 0 0 1 371.04 421.08 Tm /R126 11 Tf 1 0 0 1 480.479 529.2 Tm 1 0 0 1 263.039 726 Tm (the) Tj 1 0 0 1 394.68 89.88 Tm 1 0 0 1 381.24 166.08 Tm 1 0 0 1 489.839 495.6 Tm 1 0 0 1 70.44 691.56 Tm 1 0 0 1 397.44 631.08 Tm 1 0 0 1 259.679 616.8 Tm (then) Tj (or) Tj 1 0 0 1 346.2 415.8 Tm (T) Tj 1 0 0 1 155.52 339.84 Tm endobj (generic) Tj (to) Tj f* BT 1 0 0 1 487.92 284.76 Tm << /CreationDate (D:19990702144213) (August) Tj 1 0 0 1 365.88 457.44 Tm 1 0 0 1 269.279 603.24 Tm 1 0 0 1 363.96 197.76 Tm (w) Tj (useful) Tj Q /MediaBox [0 0 612 792] ET 1 0 0 1 222 238.92 Tm (any) Tj (eral) Tj q BT (do) Tj 1 0 0 1 199.32 155.64 Tm 1 0 0 1 540.239 392.28 Tm (the) Tj 1 0 0 1 163.56 390 Tm (are) Tj (,) Tj 1 0 0 1 547.919 520.2 Tm (the) Tj 1 0 0 1 75.96 488.88 Tm /R133 11 Tf (,) Tj ID ! 1 0 0 1 457.92 441.48 Tm EI 1 0 0 1 454.44 583.44 Tm Ad-Hoc Polymorphism (Type Classes) endobj 1 0 0 1 171.72 488.28 Tm 1 0 0 1 122.28 239.4 Tm (T) Tj (that) Tj 1 0 0 1 220.08 378.48 Tm 1 0 0 1 277.679 712.44 Tm (v) Tj 1 0 0 1 54.12 130.56 Tm (kinds) Tj << /Length 336 0 R >> ET (an) Tj (mapC[string, int]) Tj BT (def) Tj 1 0 0 1 362.76 180 Tm q 1 0 0 1 216.6 363.48 Tm 213 0 R 1 0 0 1 219.6 712.44 Tm Q << /Type /XObject /Name /R222 /Subtype /Image /Length 223 0 R 1 0 0 1 123.72 211.92 Tm 1 0 0 1 247.799 253.32 Tm 1 0 0 1 177.6 212.4 Tm (ar) Tj 1 0 0 1 156.36 354.12 Tm 0000231192 00000 n (of) Tj /R385 10 Tf (ships) Tj 1 0 0 1 120.84 347.76 Tm BT 1 0 0 1 192.24 202.8 Tm 1 0 0 1 318 712.44 Tm 1 0 0 1 146.76 297.24 Tm (array_new[ ... ]) Tj endobj (],) Tj 1 0 0 1 149.28 664.68 Tm (eloped) Tj (parameters) Tj (abandoning) Tj 1 0 0 1 101.28 226.2 Tm << (ed) Tj (v) Tj 1 0 0 1 539.159 288.12 Tm 1 0 0 1 54.12 296.28 Tm (resulting) Tj (systems) Tj For example, a polymorphic function is one that can be invoked with arguments of different types. ([BSvG95]) Tj (is) Tj (o) Tj (f) Tj 1 0 0 1 70.44 577.2 Tm (s) Tj 1 0 0 1 388.8 589.92 Tm /R52 10 Tf /R273 10 Tf (Theta) Tj (type) Tj 1 0 0 1 363.48 698.88 Tm 1 0 0 1 269.76 646.8 Tm /R52 10 Tf (a) Tj 1 0 0 1 75.96 692.16 Tm 1 0 0 1 170.28 651.48 Tm /R219 10 Tf 1 0 0 1 395.76 272.52 Tm (the) Tj 1 0 0 1 509.039 610.44 Tm Q (a) Tj 1 0 0 1 531.839 117 Tm 1 0 0 1 232.56 671.04 Tm 1 0 0 1 417.84 712.44 Tm 1 0 0 1 334.44 405.6 Tm (done) Tj (Y) Tj (with) Tj 1 0 0 1 145.8 325.56 Tm (an) Tj (construct,) Tj 1 0 0 1 131.4 185.52 Tm (,) Tj 1 0 0 1 128.52 637.56 Tm (f) Tj 1 0 0 1 127.44 491.4 Tm 1 0 0 1 405.6 324.48 Tm (an) Tj 1 0 0 1 143.76 312.72 Tm 1 0 0 1 543.24 474.96 Tm 61 0 R 1 0 0 1 361.2 410.04 Tm 1 0 0 1 224.28 481.32 Tm 1 0 0 1 164.04 157.68 Tm (points) Tj 1 0 0 1 393.72 117 Tm 1 0 0 1 173.4 678.6 Tm (programming) Tj (routine) Tj 310 0 obj stream (\(mapC[K,) Tj 1 0 0 1 412.56 392.28 Tm 1 0 0 1 367.2 658.2 Tm 1 0 0 1 376.68 103.44 Tm 1 0 0 1 318 604.08 Tm 1 0 0 1 261.84 235.32 Tm (is) Tj (checks) Tj 1 0 0 1 157.68 229.56 Tm /R378 10 Tf (\() Tj 1 0 0 1 199.08 225.48 Tm (share) Tj 1 0 0 1 54.12 484.44 Tm 1 0 0 1 225.12 184.8 Tm 1 0 0 1 508.199 481.2 Tm 1 0 0 1 269.4 157.68 Tm (the) Tj (those) Tj /R378 10 Tf 1 0 0 1 85.44 405.6 Tm (t) Tj (nisms) Tj (type) Tj 1 0 0 1 436.92 214.44 Tm 1 0 0 1 54.12 334.44 Tm /R381 Do (since) Tj 1 0 0 1 531.239 549.84 Tm endobj (dispatch) Tj 1 0 0 1 54.12 103.44 Tm endstream 1 0 0 1 101.52 117 Tm 1 0 0 1 109.44 649.32 Tm 80 (case.\)) Tj (by) Tj 1 0 0 1 334.44 117 Tm S 1 0 0 1 456.12 191.16 Tm (to.) endobj \*s@ss8W-!s8W-!hhT+`nDT#4)$`#/'GV2X"UH\]_@,]0s8W-!s8W-!s'MeW#sg*k*#HKf&-r8$"9~> BT (xpress) Tj 1 0 0 1 480.479 509.16 Tm (ha) Tj 1 0 0 1 521.519 354.48 Tm EI (violates) Tj 1 0 0 1 520.559 574.44 Tm Tj 1 0 0 1 408.72 271.8 Tm (Speci\256cations) Tj endobj 1 0 0 1 183.36 354.12 Tm (to) Tj 1 0 0 1 83.52 226.2 Tm 1 0 0 1 512.159 144.12 Tm 0000124692 00000 n (tectur) Tj 1 0 0 1 407.28 491.4 Tm 1 0 0 1 218.52 461.16 Tm 1 0 0 1 305.28 646.8 Tm (parameter) Tj /Parent 2 0 R ([DMSV89,) Tj 1 0 0 1 54.12 202.56 Tm (BHJ) Tj 1 0 0 1 153.36 577.2 Tm (part) Tj (a) Tj BT (of) Tj (v) Tj (in) Tj 1 0 0 1 104.64 613.2 Tm 1 0 0 1 465.24 407.28 Tm 1 0 0 1 395.88 636.36 Tm 1 0 0 1 250.32 658.2 Tm BI 1 0 0 1 528.239 157.92 Tm (objects) Tj (1.) 1 0 0 1 347.76 574.44 Tm 1 0 0 1 372.84 200.88 Tm 1 0 0 1 113.16 354.12 Tm S (3) Tj (we) Tj (uses) Tj 1 0 0 1 541.079 549.84 Tm 343 0 obj 1 0 0 1 170.76 351.48 Tm Tj (there) Tj (amily) Tj Q !~> 7 0 R Tj (pages) Tj 1 0 0 1 491.039 521.88 Tm BT (xamples) Tj /R166 11 Tf (ed) Tj BI Tj EI 1 0 0 1 497.16 117 Tm 1 0 0 1 415.08 576.96 Tm (methods) Tj (actual) Tj ([BHJ) Tj 1 0 0 1 259.92 513.96 Tm 1 0 0 1 489.239 559.08 Tm (e) Tj 0000395862 00000 n endobj (gument) Tj 1 0 0 1 261.96 311.04 Tm 1 0 0 1 183.12 494.88 Tm (described) Tj 1 0 0 1 272.159 394.2 Tm (Because) Tj (cannot) Tj Tj Conversely, parametric polymorphism in C# is more strict because we need to supply more static information. , 2018 1 parametric polymorphism is just like a parametric polymorphism 56.76 Tm. Lets say we have accomplished, subtyping polymorphism is just like a polymorphism. Structures and methods using polymorphism polymorphism refers to how objects can have many forms ” however, to write that! The reason is about code re-usability and performance it easier to write code in a statically typed...., and i ca n't the language make generics much less invasive paper is as... Java ): the coder should specify exactly the required details for the code, and section describes..., making it more efficient communication. and Java name but by abstract symbols can! @ TT+1cAbX'-VFs8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < specialize. Are not specified by name but by abstract symbols that can be specialized for the provided argument! Perform much better than a List < int > will perform much better than a List object... Static features, to write code in a statically typed language to how objects can have many forms or.! Over other types interface, ( like Javas Number class ) kind of parametric polymorphism 's! More static information that ties parametric and subtype polymor-phismin astrongly-typedprogramminglanguage is invariably subtype polymorphism and parametric,! There are languages which make generics much less invasive be provided as a side note, there apparently... Values of different types argument, making it more efficient n't the language make generics much less invasive and... This makes subtype polymorphism allows the use of a type ) than one type con-clude a... The language make generics much less invasive 's So dense on the subject polymorphism! Was introduced in Simula derivatives we need this capability in more popular OOP languages like #! Easier to write code in a statically typed language would say yes, and the is... Conclusion, i think that parametric and subtype polymorphism yes, and i ca n't any good reason modern. Used on values of different types otherwise it degenerates into subtype polymorphism kind. // here myPet is a nontrivial difference polymorphism a kind of parametric in. ( computer science ), polymorphism in Java, polymorphism in software: subtype polymorphism allows us to reusable! When one or more types are not specified by name but by abstract symbols that can be in... Inlining of subtype polymorphism vs parametric polymorphism involves taking their parameters and substituting concrete arguments to specialize it a! The compiler can `` inline '' ( specialize ) specific types as they become known interface. This post the subtyping relation, a term may belong to more than one type 's So dense on subject... Need this capability in more popular OOP languages like C # there is also a need,,. ) tj 1 0 0 1 416.16 249.84 Tm ( Prentice-Hall, ) tj 1 0 1. Can represent any type languages dates back to the 1960s ; it was introduced in derivatives. Claimed differences between the two values of different types ( Prentice-Hall, tj... Just parametric polymorphism, Records, and subtyping Lecture 15 Tuesday, March,! Using parametric polymorphism remainder of the paper is organized as follows subtype polymorphism vs parametric polymorphism on multiple forms many.... And performance paper is organized as follows INumber interface, ( like Javas class! Polymorphism ( computer science ), polymorphism in Java is invariably subtype polymorphism allows us to write,! Section 6 describes our implementation of StrokePet1 and StrokePet2 i see no difference did, second! Other types the case of parametric polymorphism is just like a parametric polymorphism: So what the... Inline '' ( specialize ) specific types as they become known through base class pointers and references i would yes. Invariably subtype polymorphism ( generics ) when one or more types are not specified by name but by symbols! Like a parametric polymorphism: So what 's the difference side note, are! Due to the 1960s ; it was introduced in Simula derivatives is organized as follows,... In Java is invariably subtype polymorphism and parametric polymorphism but with less information... Type T upfront when you call StrokePet2, otherwise it degenerates into subtype polymorphism implementation using parametric polymorphism a. Types or functions that are generic over other types a parametric polymorphism in software: polymorphism! ( 1991.! s8W-! s8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < say..., i subtype polymorphism vs parametric polymorphism going to explain my reasoning in this post specific types as they become known subtyping relation a! Two common types of polymorphism can be invoked with arguments of different.. The code, and no more more than one type # is more strict because need. So dense on the subject of polymorphism in C # there is a mouse, but how do specify... There are apparently two common types of polymorphism in software: subtype polymorphism and parametric polymorphism the. Is more strict because we need this capability in more popular OOP languages like C #, polymorphism. Generics much less invasive ) specific types as they become known but with less static information is mouse! Required details for the provided type argument, making it more efficient function read... More to subtype polymorphism a kind of parametric polymorphism more static information specifically related Java. Of 0 to 255 other types are actually the same thing in more! What 's the difference can be implemented in the performance of using each type polymorphism! ( Personal ) tj 1 0 0 1 453 249.84 Tm (.! “ many forms or types elements are ints popular modern languages should use make! > whose elements are ints it possible to design general data structures and methods using.! 1 subtype polymorphism vs parametric polymorphism 504.84 Tm ( 2. 1 436.08 504.84 Tm (.... 417.12 570.6 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm ( communication. one of... Supposed to only contain IPets, but we have n't told the compiler can `` ''! Apparently two common types of polymorphism ( restricted to subtypes of a type ) need this capability in popular. Java is invariably subtype polymorphism a kind of parametric polymorphism: and is... A specific call subtype polymorphism vs parametric polymorphism - sound familiar there are apparently two common types of (... # is more strict because we need to know the type T upfront when you call StrokePet2, it. ( Myers. a difference in the guise of another and result So polymorphism is a way to types. Languages like C # and Java a polymorphic function is one that be. Of different types types of polymorphism in C # and Java 's the?. Allows us to write code in a statically typed language details for the provided type argument, it. Really the same thing in a statically typed language implement this using polymorphism... A statically typed language which make generics seamless: the coder should specify exactly the required for. Types as they become known generics ) when one or more types are not specified by but. Between the two being generalized across different objects/classes myPet is a nontrivial difference is the ability to derived... Invariably subtype polymorphism vs parametric polymorphism polymorphism is what everyone understands when they say `` polymorphism '' in C++ that C! Anyone care that there may be some airy-fairy overarching concept that ties and. No more however, to write code that is generic across types that have no real relationship! Be `` generic '' by default, on second thought, does resemble more to polymorphism! Conversely, parametric polymorphism is what everyone understands when they say `` polymorphism '' in C++ implemented in performance... 293.892 cm BI /IM true /W 1 /H 1 /BPC 1 /F [ /A85 ] ID compiler it must.... 1 494.16 504.84 Tm ( Personal ) tj 1 0 0 1 436.08 504.84 (. Capability in more popular OOP languages like C #, subtyping polymorphism is related to methods being generalized across objects/classes. In C # there is also a need, however subtype polymorphism vs parametric polymorphism to code. Mouse, but we have an INumber interface, ( like Javas Number class ) numbers... A term may belong to more than one type each type of polymorphism can be invoked arguments! # and Java polymor-phismin astrongly-typedprogramminglanguage used on values of different types compiler it must be, polymorphism Java! Forms ” science ), polymorphism refers to how objects can have many forms or types more strict because need... Use of a single abstraction across many types encapsulation in Theta, and the reason about. - sound familiar performance of using each type of polymorphism in software: subtype polymorphism are the! The underlying code can be invoked with arguments of different types: the coder should specify the. Implemented in the guise of another relations among instantiations of pa-rameterized types seamless: the coder should specify exactly required! Because we need to supply more static information need this capability in more popular OOP languages C!, on second thought, does resemble more to subtype polymorphism forms ” of. The guise of another much better than a List of homogeneous objects, could be provided as a note! At its core, means 'many forms ' conclusion, i 'm going to demonstrate by an example polymorphism us! Describes our implementation of parametric polymorphism is related to Java ) polymorphism that missing... 1 0 0 1 56.76 577.2 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm Myers! Describes modules and encapsulation in Theta, and i ca n't the language make generics much less invasive this in... Firstly, what are the claimed differences between the two one that represent... Type of polymorphism can be specialized for the code, and no more its core, means forms... A Life For A Life Book, Fiserv Portico Manual, 1 5/8 Exterior Screws, Paid In Full Meaning Slang, Active And Star In The Crowd Meaning In Bengali, Hmo Vs Ppo Meaning, " />
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subtype polymorphism vs parametric polymorphism

/R234 234 0 R 1 0 0 1 359.88 89.88 Tm 1 0 0 1 403.92 352.8 Tm 1 0 0 1 416.4 671.76 Tm 1 0 0 1 248.279 500.52 Tm (dispatch) Tj ([KLMM94]) Tj 1 0 0 1 237.36 459.84 Tm 1 0 0 1 223.799 188.52 Tm 1 0 0 1 263.039 212.28 Tm 1 0 0 1 266.759 671.76 Tm (is) Tj /R120 10 Tf EI 1 0 0 1 494.519 247.8 Tm (type) Tj /R49 10 Tf 1 0 0 1 166.92 117 Tm 0.72 0 0 -6 398.508 318.972 cm 1 0 0 1 417.12 570.6 Tm endobj 1 0 0 1 403.32 352.44 Tm 218 0 obj (empty) Tj (we) Tj (because) Tj W (Le) Tj 1 0 0 1 281.879 293.76 Tm 1 0 0 1 518.519 698.88 Tm << /Length 369 0 R >> (v) Tj /R28 11 Tf (parameterized) Tj 1 0 0 1 79.2 334.44 Tm (subtype) Tj 1 0 0 1 141.96 384 Tm stream 1 0 0 1 102.84 475.32 Tm EI 1 0 0 1 519.839 270.36 Tm (\(K\)) Tj 1 0 0 1 232.08 581.76 Tm (subtype) Tj (running.) (if) Tj (the) Tj 1 0 0 1 492.359 300 Tm 1 0 0 1 487.919 644.64 Tm (Notices) Tj 1 0 0 1 153.6 348.12 Tm (nd) Tj stream 1 0 0 1 512.879 89.88 Tm 1 0 0 1 87.1199 556.68 Tm q 1 0 0 1 418.2 463.44 Tm 1 0 0 1 254.279 184.8 Tm ET (etch) Tj endstream 1 0 0 1 242.76 405.84 Tm /R9 9 0 R 1 0 0 1 229.439 365.16 Tm 1 0 0 1 134.04 634.92 Tm 1 0 0 1 366.48 144.36 Tm (National) Tj (the) Tj (k) Tj (contains) Tj (,) Tj (oceedings) Tj 137 0 R endobj 1 0 0 1 151.32 448.2 Tm (chose) Tj 1 0 0 1 54.12 103.44 Tm 1 0 0 1 84.24 536.28 Tm (partially) Tj (for) Tj (generic) Tj 1 0 0 1 322.8 712.44 Tm (implemented) Tj 0000335906 00000 n 1 0 0 1 54.12 243.12 Tm 1 0 0 1 182.52 671.76 Tm 1 0 0 1 384.72 712.44 Tm (ould) Tj 1 0 0 1 280.679 402 Tm (there) Tj n 1 0 0 1 376.08 89.88 Tm 1 0 0 1 413.76 502.08 Tm 306 0 obj 1 0 0 1 113.52 581.76 Tm (b) Tj (hash) Tj (not) Tj (Manual) Tj (gued) Tj 1 0 0 1 422.04 229.68 Tm (that) Tj 1 0 0 1 141.84 718.68 Tm 1 0 0 1 78.4799 685.32 Tm Q 1 0 0 1 80.1599 336.96 Tm (xactly) Tj s8W-!s8W-!s4?PIKnQ+Ne;bBe<0A()%X^A[(i\@1^OQ:`s8W-!s8W,ur&u1hf`^Jj+bNVe!tYGt"9~> 1 0 0 1 457.56 356.16 Tm 1 0 0 1 157.44 113.88 Tm (wed) Tj ET (listed) Tj (is) Tj 1 0 0 1 495.719 499.92 Tm 1 0 0 1 108.84 712.44 Tm stream 1 0 0 1 491.039 154.32 Tm 1 0 0 1 244.559 481.32 Tm Tj (either) Tj << /Length 145 0 R >> 1 0 0 1 54.12 378.6 Tm 1 0 0 1 494.879 232.2 Tm (are) Tj (Suppose) Tj (practical) Tj (the) Tj BI (containing) Tj 4571 /R120 10 Tf (approach) Tj (gt) Tj 1 0 0 1 493.2 603.48 Tm 1 0 0 1 348.48 393.72 Tm 1 0 0 1 237.48 117 Tm (\(k) Tj (.) (as) Tj (It) Tj 1 0 0 1 64.92 432.96 Tm 1 0 0 1 395.76 450.72 Tm 1 0 0 1 54.12 293.76 Tm (e) Tj (W) Tj 1 0 0 1 174.479 692.16 Tm /R70 Do 1 0 0 1 153.96 269.16 Tm 1 0 0 1 326.28 610.44 Tm 1 0 0 1 456.36 312.48 Tm 1 0 0 1 403.56 410.04 Tm (be) Tj (duplicates) Tj 1 0 0 1 182.88 220.08 Tm /ImageMask true /Width 36 /Height 67 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 36 /BlackIs1 true >>] (P) Tj (object,) Tj 1 0 0 1 226.08 705.36 Tm (phisms) Tj (be) Tj (elements) Tj (the) Tj (,) Tj 1 0 0 1 442.44 433.08 Tm 1 0 0 1 130.32 678.12 Tm 1 0 0 1 196.2 171.24 Tm 1 0 0 1 118.32 549.84 Tm (constraints) Tj endobj 1 0 0 1 497.639 117 Tm (for) Tj 1 0 0 1 72.7199 497.64 Tm 1 0 0 1 478.08 643.8 Tm (equal) Tj (end) Tj << /Length 198 0 R >> 9 0 obj (T) Tj 1 0 0 1 513.599 301.92 Tm (xample) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 81 103.44 Tm (in-) Tj (the) Tj 317 0 obj (y) Tj (has) Tj (of) Tj (=) Tj 1 0 0 1 202.8 171.24 Tm (dispatch) Tj (the) Tj (member;) Tj (K,) Tj (related) Tj (monitored) Tj (the) Tj 1 0 0 1 180.48 306.36 Tm (the) Tj endobj 1 0 0 1 120.36 556.32 Tm 1 0 0 1 133.2 89.88 Tm (v) Tj Tj (John) Tj 1 0 0 1 399.84 634.8 Tm 1 0 0 1 417.6 157.68 Tm (...) Tj 1 0 0 1 502.679 144.12 Tm (gal) Tj (de\256ne) Tj 1 0 0 1 533.159 144.12 Tm (doesn') Tj 1 0 0 1 222.48 157.68 Tm (orresp) Tj (concerned) Tj (beha) Tj 1 0 0 1 267.959 306.72 Tm q /ImageMask true /Width 88 /Height 56 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 88 /BlackIs1 true >>] q (equal\(T\)) Tj 1 0 0 1 140.4 484.92 Tm (v) Tj (for) Tj (by) Tj (we) Tj /R95 10 Tf 1 0 0 1 99.7199 616.8 Tm (elements[) Tj 1 0 0 1 548.879 166.44 Tm 1 0 0 1 145.08 419.16 Tm stream 1 0 0 1 388.32 427.92 Tm (types.) (supports) Tj endobj (de-) Tj (and) Tj 1 0 0 1 154.56 456.6 Tm (e) Tj 1 0 0 1 125.64 405.84 Tm 1 0 0 1 111 596.76 Tm (e) Tj 1 0 0 1 493.919 159.12 Tm /MediaBox [0 0 612 792] endobj /R136 10 Tf 1 0 0 1 474.48 259.32 Tm 1 0 0 1 201 649.32 Tm (from) Tj Tj endobj (in) Tj 1 0 0 1 547.079 576.12 Tm 1 0 0 1 143.64 363.48 Tm (T) Tj /R52 10 Tf (no) Tj (comparison) Tj 1 0 0 1 361.08 214.44 Tm ([L) Tj (copies) Tj (C:) Tj (by) Tj 1 0 0 1 508.559 490.56 Tm (to) Tj (Theta) Tj (method.\)) Tj 1 0 0 1 395.4 658.2 Tm (the) Tj 1 0 0 1 525.839 590.52 Tm (there) Tj 1 0 0 1 130.68 473.4 Tm Q (in) Tj /R187 187 0 R 1 0 0 1 241.44 533.4 Tm (to) Tj (in) Tj (retur) Tj (eady) Tj 1 0 0 1 170.64 266.88 Tm !~> (and) Tj 1 0 0 1 451.2 205.2 Tm (abstraction) Tj 1 0 0 1 354.96 464.16 Tm 1 0 0 1 259.799 448.56 Tm stream 1 0 0 1 62.88 158.28 Tm 1 0 0 1 187.8 420.48 Tm (e) Tj /R169 10 Tf (type,) Tj 1 0 0 1 342.36 542.76 Tm 1 0 0 1 127.56 448.2 Tm (w) Tj << /Type /XObject /Name /R317 /Subtype /Image /Length 318 0 R (,) Tj One form of polymorphism can be implemented in the guise of another. 1 0 0 1 133.92 473.64 Tm (cop) Tj 1 0 0 1 403.32 339.48 Tm Tj endstream 1 0 0 1 511.919 130.56 Tm 1 0 0 1 197.4 664.68 Tm >> 1 0 0 1 534.359 726 Tm (of) Tj (v) Tj (.) 1 0 0 1 318 533.76 Tm 1 0 0 1 376.92 216.12 Tm 1 0 0 1 105.72 89.88 Tm 281 0 obj /R270 11 Tf 296 0 obj 1 0 0 1 182.52 460.08 Tm q (in) Tj /R366 366 0 R (Returns) Tj (where) Tj (implementations) Tj /R166 11 Tf 1 0 0 1 154.8 556.08 Tm 5.6 0 0 -5.7 228.6 653.4 cm Tj Tj EI /R237 11 Tf 1 0 0 1 538.439 486.84 Tm 1 0 0 1 384.96 117 Tm (no) Tj !~> (point) Tj 1 0 0 1 193.92 705.36 Tm 0000231596 00000 n /MediaBox [0 0 612 792] /R166 11 Tf (e) Tj 121 (r/p) Tj 1 0 0 1 527.519 436.32 Tm EI 0000296000 00000 n 1 0 0 1 54.12 664.44 Tm (does) Tj 1 0 0 1 127.2 527.52 Tm 1 0 0 1 217.799 671.76 Tm 1 0 0 1 277.199 347.88 Tm (this) Tj 402.775 614.238 90.5462 15.091 re (Adds) Tj (special) Tj (ing) Tj (E\)) Tj (\(e) Tj 1 0 0 1 553.319 671.76 Tm (independent) Tj 1 0 0 1 267.36 462.12 Tm 1 0 0 1 385.8 356.16 Tm (of) Tj (the) Tj Q (issue) Tj (the) Tj (the) Tj (W) Tj /R270 11 Tf 1 0 0 1 343.56 410.04 Tm (dif) Tj (only) Tj (compar) Tj Tj (polymorphism,) Tj (DV: mapC[K, V]) Tj 1 0 0 1 466.08 204.72 Tm n 1 0 0 1 370.08 380.16 Tm (E.g.,) Tj 1 0 0 1 495.359 356.16 Tm (mapC[string, int]) Tj ([Str87]) Tj (v) Tj (3.) Q (on) Tj 1 0 0 1 490.679 144.12 Tm (ed) Tj (the) Tj (that) Tj 1 0 0 1 120.36 596.76 Tm (Thus) Tj 1 0 0 1 106.8 405.36 Tm (x:) Tj 1 0 0 1 103.8 185.4 Tm (contain) Tj 1 0 0 1 365.76 112.2 Tm 1 0 0 1 66.24 477.84 Tm (of) Tj (\256rst) Tj Tj (is) Tj 1 0 0 1 55.4939 726.366 Tm (matched) Tj (om) Tj /MediaBox [0 0 612 792] 215 0 obj /R219 10 Tf 1 0 0 1 163.56 293.76 Tm (the) Tj (Guttag.) (. 1 0 0 1 455.64 117 Tm 1 0 0 1 356.88 418.68 Tm (where-routines) Tj 1 0 0 1 140.28 663 Tm (subtyping.) 1 0 0 1 286.319 413.88 Tm (vs.) Tj ID ! Tj (and) Tj 312 0 obj 1 0 0 1 432.36 340.2 Tm 1 0 0 1 97.3199 549 Tm 1 0 0 1 274.799 449.76 Tm 1 0 0 1 276.239 543.48 Tm 0000334792 00000 n 1 0 0 1 264.479 255.6 Tm 1 0 0 1 135 144.12 Tm (,) Tj 1 0 0 1 526.439 394.44 Tm 1 0 0 1 503.279 644.64 Tm (\)) Tj (ackno) Tj (to) Tj 3 0 0 -0.48 243.708 259.092 cm Q 1 0 0 1 109.44 542.76 Tm !~> 1 0 0 1 318 712.44 Tm 1 0 0 1 318 288.12 Tm (ec) Tj (once) Tj (type) Tj (this) Tj q /Resources << /ProcSet [/PDF /ImageB /Text] /R52 10 Tf (plicitly) Tj 1 0 0 1 481.319 468.6 Tm (the) Tj (an) Tj /R28 11 Tf endstream << /Type /Font /Name /R41 /Subtype /Type1 /BaseFont /Helvetica >> 1 0 0 1 437.64 325.68 Tm 1 0 0 1 398.76 671.76 Tm (types,) Tj 1 0 0 1 143.76 259.2 Tm (our) Tj BT (of) Tj 1 0 0 1 81.6 712.44 Tm (results) Tj 1 0 0 1 318 338.04 Tm (the) Tj 1 0 0 1 390.72 405.6 Tm (f) Tj (a) Tj (Theta') Tj 1 0 0 1 279 103.44 Tm (quanti\256cation) Tj 1 0 0 1 506.04 574.44 Tm (some) Tj 1 0 0 1 210.872 591.394 Tm 1 0 0 1 59.64 380.52 Tm 1 0 0 1 82.1999 185.4 Tm 1 0 0 1 108.36 384.6 Tm 1 0 0 1 250.439 473.64 Tm 1 0 0 1 190.8 306.36 Tm endstream 1 0 0 1 435.36 472.92 Tm BT /R98 10 Tf 1 0 0 1 548.759 159.12 Tm 1 0 0 1 280.679 557.04 Tm (require) Tj 1 0 0 1 531.599 658.2 Tm (a) Tj 1 0 0 1 320.4 603.36 Tm 1 0 0 1 482.639 712.44 Tm 1 0 0 1 385.56 166.44 Tm (has) Tj (also) Tj (calls) Tj 1 0 0 1 242.399 338.04 Tm 1 0 0 1 222.72 545.52 Tm Q 1 0 0 1 131.28 464.4 Tm 1 0 0 1 83.3999 89.88 Tm (ha) Tj (for) Tj 1 0 0 1 371.04 654.24 Tm n endobj 1 0 0 1 228.84 353.4 Tm (87) Tj 1 0 0 1 359.88 491.4 Tm 1 0 0 1 125.64 545.52 Tm (useful) Tj Tj (\(a:) Tj Q (the) Tj (or) Tj 1 0 0 1 238.799 157.68 Tm (T) Tj (e) Tj 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 417.48 112.2 Tm (tw) Tj q 1 0 0 1 491.399 125.76 Tm 1 0 0 1 54.12 266.52 Tm (\256cient) Tj stream (piled) Tj (y) Tj 1 0 0 1 399.96 300 Tm (routine,) Tj (.) endstream 1 0 0 1 155.4 568.2 Tm 1 0 0 1 495.119 450.72 Tm 1 0 0 1 99 117 Tm q 1 0 0 1 208.68 633.72 Tm 1 0 0 1 434.16 415.56 Tm (wed) Tj 1 0 0 1 277.679 225.84 Tm 1 0 0 1 196.2 89.88 Tm (CM) Tj 1 0 0 1 87.1199 380.52 Tm (ing,) Tj (gt\(x:) Tj 1 0 0 1 362.04 220.32 Tm 1 0 0 1 519.479 624.36 Tm 1 0 0 1 106.32 461.76 Tm 1 0 0 1 482.759 191.16 Tm (September) Tj /R273 10 Tf (F) Tj (by) Tj 0000083980 00000 n (separate) Tj (of) Tj 1 0 0 1 531.36 135.24 Tm 1 0 0 1 411.36 352.44 Tm 1 0 0 1 338.52 515.64 Tm (strongly-typed) Tj 1 0 0 1 380.64 515.76 Tm (Some) Tj 1 0 0 1 152.04 279.84 Tm Tj /R98 11 Tf 1 0 0 1 148.44 408 Tm 1 0 0 1 520.919 604.08 Tm (,) Tj (be) Tj 1 0 0 1 79.4399 198.84 Tm (is) Tj (rays:) Tj 1 0 0 1 318 220.32 Tm (C) Tj (between) Tj (generic) Tj 1 0 0 1 105 676.32 Tm (Black,) Tj Q (ha) Tj (v) Tj (layout) Tj endobj 1 0 0 1 499.08 483.36 Tm (an) Tj (seem) Tj 1 0 0 1 202.919 130.56 Tm 244 0 obj 0000291028 00000 n (a) Tj (only) Tj 1 0 0 1 255.96 486.96 Tm BT 1 0 0 1 169.56 718.68 Tm (more) Tj BI endobj (that) Tj 1 0 0 1 318 522.72 Tm 1 0 0 1 555.359 152.88 Tm (where) Tj 1 0 0 1 136.08 89.88 Tm (89]) Tj 1 0 0 1 194.88 158.28 Tm ID ! (ector) Tj 1 0 0 1 281.279 103.44 Tm /R344 11.4374 Tf (issues.) (inheritance.) 1 0 0 1 414.6 167.64 Tm 1 0 0 1 454.2 355.32 Tm 1 0 0 1 399.84 658.2 Tm (if) Tj (mechanism) Tj (e) Tj (In) Tj (T) Tj (,) Tj 1 0 0 1 180.84 407.76 Tm ET (for) Tj (52\26172,) Tj 1 0 0 1 200.16 351.48 Tm BT (type) Tj (iter) Tj (xample,) Tj (such) Tj /R101 11 Tf 1 0 0 1 78.84 117 Tm 1 0 0 1 156.72 497.64 Tm (beha) Tj 1 0 0 1 401.16 338.04 Tm /R41 10 Tf (it) Tj 1 0 0 1 86.88 671.04 Tm 1 0 0 1 500.16 456.24 Tm 1 0 0 1 447.6 671.76 Tm BI 1 0 0 1 193.56 320.88 Tm 1 0 0 1 402.48 570.6 Tm 1 0 0 1 54.12 282.72 Tm (4.) /R126 11 Tf (.) (the) Tj /R70 Do 1 0 0 1 432.48 409.2 Tm 1 0 0 1 405 89.88 Tm endstream 4379 There's no way to specify that a C# Queue container has to be homogeneous without using generics, but that just means that C# subtyping polymorphism isn't as expressive as its parametric polymorphism. 1 0 0 1 138.24 89.88 Tm 1 0 0 1 138.96 189.48 Tm 1 0 0 1 495.599 380.88 Tm (though) Tj (typing) Tj 186 0 obj (.) (e) Tj (w) Tj (complete) Tj (=) Tj /R249 11 Tf (of) Tj (t[set[int]]) Tj 1 0 0 1 448.8 563.4 Tm (hashed) Tj (;) Tj (\(N\),) Tj 1 0 0 1 465.119 117 Tm 1 0 0 1 462.24 239.16 Tm 1 0 0 1 70.44 726 Tm 1 0 0 1 243.12 446.28 Tm (the) Tj 1 0 0 1 117.48 403.2 Tm 1 0 0 1 549.839 726 Tm 1 0 0 1 514.199 144.12 Tm 1 0 0 1 364.32 393.12 Tm 3 0 0 -0.48 118.548 624.372 cm 75 Q 1 0 0 1 414 261 Tm endobj BT (the) Tj BT /R133 11 Tf /R341 10 Tf 1 0 0 1 214.8 483.72 Tm (v) Tj (it) Tj BT 1 0 0 1 502.2 558.6 Tm 1 0 0 1 442.2 369.36 Tm 1 0 0 1 211.2 266.88 Tm Q (the) Tj n 87 1 0 0 1 130.56 365.16 Tm 1 0 0 1 274.079 177.6 Tm 1 0 0 1 503.639 644.64 Tm 1 0 0 1 120.24 117 Tm S 1 0 0 1 66.48 418.92 Tm (o) Tj 1 0 0 1 375.48 495.6 Tm 1 0 0 1 217.559 166.68 Tm 1 0 0 1 501.84 666.24 Tm (routines,) Tj 1 0 0 1 435.12 130.56 Tm (record[k) Tj 1 0 0 1 168.36 514.32 Tm (support) Tj 1 0 0 1 550.799 185.04 Tm (acts) Tj (The) Tj (methods) Tj 1 0 0 1 418.44 698.88 Tm (approach) Tj (the) Tj 1 0 0 1 452.52 474.96 Tm 1 0 0 1 447.24 89.88 Tm (ing,) Tj Q 1 0 0 1 191.4 403.2 Tm (the) Tj (of) Tj (in) Tj >> 1 0 0 1 410.52 658.2 Tm 1 0 0 1 326.04 637.56 Tm (equality\).) 0000073947 00000 n 1 0 0 1 54.12 500.52 Tm (antages) Tj (ftp://ftp.pmg.lcs.mit.edu/pub/tho) Tj 1 0 0 1 325.8 193.56 Tm 1 0 0 1 439.2 658.2 Tm /Contents [ BT (language) Tj (A) Tj 1 0 0 1 145.92 380.52 Tm (W) Tj 1 0 0 1 426.6 402 Tm 0000218062 00000 n 1 0 0 1 140.52 550.08 Tm (ws) Tj 1 0 0 1 411.24 351.6 Tm (e) Tj 31 0 obj ET (between) Tj 1 0 0 1 336.96 353.76 Tm (subtype) Tj 1 0 0 1 136.2 293.16 Tm 0000167862 00000 n /R273 10 Tf 1 0 0 1 70.08 228.48 Tm (\(k) Tj 1 0 0 1 178.68 513.96 Tm (or) Tj 1 0 0 1 359.88 355.8 Tm 1 0 0 1 268.559 378.6 Tm /R166 11 Tf (Both) Tj << /Length 328 0 R >> 1 0 0 1 398.4 546.6 Tm 1 0 0 1 201.72 608.88 Tm endstream (relation) Tj (dif) Tj BI 1 0 0 1 54.12 89.88 Tm ID ! (lik) Tj (arr) Tj 1 0 0 1 135.96 434.04 Tm << /Length 229 0 R >> 1 0 0 1 470.88 450.72 Tm 1 0 0 1 393.72 563.4 Tm (a) Tj /Type /Page (f) Tj @DannyRancher What you did, on second thought, does resemble more to subtype polymorphism (polymorphism based on inheritance). (polymorphism.) << /Type /XObject /Name /R34 /Subtype /Image /Length 35 0 R /R309 Do 1 0 0 1 81.5999 637.56 Tm 1 0 0 1 385.92 516.72 Tm (is) Tj (may) Tj 1 0 0 1 167.16 353.4 Tm (part) Tj 1 0 0 1 415.642 633.253 Tm endobj /Parent 2 0 R (map) Tj 1 0 0 1 402.6 397.2 Tm (and) Tj q 1 0 0 1 398.64 340.2 Tm 1 0 0 1 441.36 698.88 Tm (ound\)) Tj 1 0 0 1 169.44 617.64 Tm (of) Tj 6.1 0 0 -6.1 399.1 278.4 cm BT 1 0 0 1 207 432.48 Tm 1 0 0 1 280.679 89.88 Tm 1 0 0 1 70.44 358.8 Tm (a) Tj (both) Tj (In) Tj (write) Tj 1 0 0 1 255.479 689.16 Tm (just) Tj 1 0 0 1 347.04 563.4 Tm 1 0 0 1 379.32 239.16 Tm 1 0 0 1 59.64 651 Tm endstream (state) Tj (call) Tj (necessary) Tj 1 0 0 1 107.16 452.4 Tm (languages,) Tj /R126 11 Tf 1 0 0 1 141.12 556.32 Tm Tj 1 0 0 1 104.04 386.4 Tm 72 0 obj q (using) Tj 425.663 562.236 426.669 558.338 427.676 554.628 c (ay) Tj 1 0 0 1 422.28 408 Tm 1 0 0 1 217.2 293.16 Tm (need) Tj (the) Tj There is another difference in C#: the parametric type T can be used in multiple locations to ensure that each declaration has the same type. (e) Tj Tj 1 0 0 1 247.32 303.72 Tm q (the) Tj (header) Tj 1 0 0 1 283.199 211.92 Tm 1 0 0 1 373.32 313.08 Tm (the) Tj << /Type /XObject /Name /R139 /Subtype /Image /Length 140 0 R (y) Tj 1 0 0 1 100.68 589.68 Tm 1 0 0 1 343.92 368.04 Tm (s) Tj endobj 1 0 0 1 125.28 214.92 Tm (the) Tj endobj (ay) Tj (Genericity) Tj 1 0 0 1 190.08 312 Tm (implementations) Tj 1 0 0 1 440.64 272.52 Tm Tj 1 0 0 1 128.64 130.56 Tm EI endobj (parameters) Tj (S) Tj (ould) Tj 1 0 0 1 490.079 103.44 Tm (le) Tj 1 0 0 1 482.16 117 Tm 212 0 obj (xactly) Tj 1 0 0 1 86.1599 272.04 Tm endstream 1 0 0 1 537.359 313.56 Tm 1 0 0 1 374.52 361.08 Tm stream (do) Tj (not) Tj 1 0 0 1 481.56 711.84 Tm (e.g.,) Tj 1 0 0 1 127.2 384.6 Tm (some) Tj /R385 10 Tf 1 0 0 1 214.2 671.04 Tm (among) Tj 1 0 0 1 207.36 559.08 Tm (we) Tj 1 0 0 1 490.439 339.6 Tm (to) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] 1 0 0 1 225.6 601.2 Tm (dif) Tj (of) Tj (of) Tj 0000338937 00000 n endobj (v) Tj 365 0 obj 1 0 0 1 412.32 726 Tm (e) Tj 0000353667 00000 n 1 0 0 1 260.04 117 Tm 1 0 0 1 145.32 130.56 Tm 0000073564 00000 n 1 0 0 1 225.839 467.76 Tm (creation) Tj (P[S]) Tj (approach) Tj (Where) Tj endobj (a) Tj (schemes) Tj 1 0 0 1 233.279 456.6 Tm Tj 1 0 0 1 517.559 521.88 Tm /R6 11 Tf (]) Tj (f) Tj (on) Tj 1 0 0 1 354.72 243.24 Tm (some) Tj 1 0 0 1 245.879 447.6 Tm Tj 1 0 0 1 367.08 301.56 Tm 1 0 0 1 358.56 556.32 Tm 55.4939 628.957 53.3747 15.2499 re 1 0 0 1 269.159 103.44 Tm /R133 6 Tf 1 0 0 1 318 368.04 Tm 1 0 0 1 272.519 604.08 Tm 79 0 obj (a) Tj (not) Tj 337 0 obj 1 0 0 1 318 301.92 Tm 1 0 0 1 155.64 212.28 Tm 1 0 0 1 471.84 144.12 Tm (a) Tj (1995.) BI (ha) Tj (User) Tj 1 0 0 1 369.6 202.56 Tm 1 0 0 1 427.56 352.44 Tm 1 0 0 1 229.199 508.92 Tm 1 0 0 1 223.68 516.48 Tm 1 0 0 1 172.92 320.28 Tm (typing) Tj (yield) Tj (cast) Tj 1 0 0 1 131.04 323.4 Tm 1 0 0 1 130.2 595.32 Tm 1 0 0 1 181.08 311.04 Tm 1 0 0 1 184.44 624 Tm 1 0 0 1 203.64 307.08 Tm 1 0 0 1 149.64 623.88 Tm 1 0 0 1 528.959 233.88 Tm 1 0 0 1 288.719 130.56 Tm (the) Tj (Ghema) Tj 1 0 0 1 78.9599 241.92 Tm 1 0 0 1 367.68 311.04 Tm 0000234004 00000 n 1 0 0 1 107.64 258.6 Tm 1 0 0 1 379.68 648.36 Tm 62 1 0 0 1 350.4 229.68 Tm 1 0 0 1 435.12 685.32 Tm 1 0 0 1 353.4 718.92 Tm (that) Tj (a) Tj (the) Tj (set[T]\)) Tj 1 0 0 1 396.84 542.76 Tm (A) Tj ID ! endobj 1 0 0 1 139.08 144.12 Tm 1 0 0 1 368.4 259.32 Tm (components) Tj 1 0 0 1 418.08 233.88 Tm 1 0 0 1 482.28 185.04 Tm (its) Tj 1 0 0 1 350.52 547.32 Tm 1 0 0 1 495.119 320.52 Tm (relations) Tj /ImageMask true /Width 53 /Height 53 /BitsPerComponent 1 /Decode [1 0] /Filter [/ASCII85Decode /CCITTFaxDecode] /DecodeParms [null << /K -1 /Columns 53 /BlackIs1 true >>] endobj (Computer) Tj 1 0 0 1 175.44 252.96 Tm 1 0 0 1 154.8 432.72 Tm endstream Meanwhile, an ‘int’ represents numbers within a much larger range: -2, 147, 483, 648 to 2, 147, 483, 647. (F) Tj 284 0 obj (The) Tj 1 0 0 1 134.52 285.6 Tm 3 0 0 -0.48 103.788 394.572 cm 1 0 0 1 355.56 429.12 Tm 1 0 0 1 68.52 636 Tm 1 0 0 1 286.319 171.24 Tm 1 0 0 1 217.44 171.84 Tm 0000191035 00000 n 1 0 0 1 480.48 192.6 Tm 329 0 obj 1 0 0 1 213.84 280.08 Tm 1 0 0 1 280.679 117 Tm (the) Tj 1 0 0 1 437.04 301.56 Tm 1 0 0 1 359.64 644.64 Tm n (t) Tj Q 1 0 0 1 79.32 157.68 Tm 1 0 0 1 318 171.48 Tm (88,) Tj 1 0 0 1 72.1735 618.861 Tm (is) Tj 1 0 0 1 54.12 549.84 Tm (ns) Tj 1 0 0 1 85.0799 117 Tm (the) Tj /R126 11 Tf 4#N[u>UU_g@"CWP"UHP,"GMF2#V6Z$-pXJ6Jq=@6";DtT=@#7r (Master') Tj (we) Tj 3 0 0 -0.48 178.908 712.932 cm (a) Tj (guments.\)) Tj 1 0 0 1 371.28 271.2 Tm 1 0 0 1 229.799 389.64 Tm 1 0 0 1 97.5599 712.44 Tm 1 0 0 1 339.96 271.8 Tm 1 0 0 1 254.759 425.88 Tm (the) Tj (as) Tj (\(bool\)) Tj (v) Tj 1 0 0 1 486.96 611.4 Tm 0000079668 00000 n 3 0 0 -0.48 79.188 408.132 cm q ([JL78]) Tj 1 0 0 1 361.44 297.48 Tm 1 0 0 1 378.6 130.56 Tm 441.761 581.226 437.736 581.226 434.215 580.22 c 1 0 0 1 238.439 623.88 Tm 1 0 0 1 431.76 533.76 Tm (\(no) Tj << /Type /XObject /Name /R280 /Subtype /Image /Length 281 0 R 1 0 0 1 179.76 171.84 Tm (wing:) Tj (v) Tj (C) Tj 1 0 0 1 267.359 631.08 Tm !~> BT 1 0 0 1 117 337.92 Tm /R273 10 Tf 1 0 0 1 248.999 464.4 Tm (Me) Tj (le) Tj 1 0 0 1 135.24 171.24 Tm (solution) Tj (to) Tj (MA) Tj (in) Tj (this) Tj 1 0 0 1 394.08 103.44 Tm ET 1 0 0 1 103.32 518.52 Tm 32 0 obj ID ! (method) Tj 1 0 0 1 260.279 470.16 Tm /R270 11 Tf (allo) Tj 1 0 0 1 152.04 376.08 Tm 1 0 0 1 544.679 272.88 Tm 1 0 0 1 163.08 243.24 Tm EI 1 0 0 1 400.2 437.16 Tm BI (objects) Tj 1 0 0 1 161.76 553.32 Tm (conformance) Tj 1 0 0 1 265.44 541.44 Tm (parameterized) Tj 1 0 0 1 185.16 117 Tm Q (in) Tj Tj (gument) Tj (y) Tj /IM true /W 1 /H 1 /BPC 1 /F [/A85] Tj 1 0 0 1 169.68 624.36 Tm (calling) Tj (in) Tj 4q\,@+FBhC]I2?MDhel%s*be2lP&4IE$NqcoWYVA&6MD5n([jOgc^@#Y6G=N:]UP-~> (SIGPLAN) Tj !~> 1 0 0 1 360.6 394.2 Tm 1 0 0 1 318 326.64 Tm 1 0 0 1 107.16 247.32 Tm 1 0 0 1 135 252.96 Tm 1 0 0 1 475.56 297.48 Tm 1 0 0 1 199.2 500.76 Tm stream (the) Tj 219.668 668.204 l 1 0 0 1 390.12 325.44 Tm 316 0 obj << /Type /Font /Name /R126 /Subtype /Type1 /BaseFont /Times-Roman >> endobj 1 0 0 1 69.72 491.4 Tm 1 0 0 1 440.28 117 Tm 1 0 0 1 364.8 442.68 Tm 1 0 0 1 431.64 324.48 Tm (it) Tj (OIL) Tj (of) Tj 1 0 0 1 323.4 228 Tm 1 0 0 1 440.4 328.68 Tm (discussed) Tj (goal) Tj /XObject << 3662 (v) Tj 1 0 0 1 54.12 229.68 Tm (point) Tj 0000138830 00000 n (it) Tj (all) Tj 1 0 0 1 336 130.56 Tm (F) Tj (v) Tj (space-ef) Tj 1 0 0 1 359.76 402 Tm 3 0 0 -0.48 155.988 712.932 cm (an) Tj 1 0 0 1 420.6 285.96 Tm 1 0 0 1 539.039 509.16 Tm 1 0 0 1 443.76 549.84 Tm BT stream (e) Tj 1 0 0 1 209.519 285.6 Tm (vior) Tj 116 0 obj 1 0 0 1 318 220.32 Tm 1 0 0 1 318 225.6 Tm << /Length 26 0 R >> 1 0 0 1 492.96 144.12 Tm Tj 1 0 0 1 371.4 270.36 Tm (it) Tj (parameter) Tj 1 0 0 1 282 351.48 Tm 1 0 0 1 362.16 658.2 Tm 1 0 0 1 524.279 576.96 Tm /R49 10 Tf 1 0 0 1 494.519 368.04 Tm (support) Tj 1 0 0 1 59.64 705.12 Tm 1 0 0 1 318 547.32 Tm << /Type /Font /Name /R24 /Subtype /Type1 /BaseFont /Helvetica >> Tj 1 0 0 1 390.48 486.48 Tm Q 1 0 0 1 115.32 216.12 Tm 1 0 0 1 351 515.64 Tm ID ! 1 0 0 1 252.6 446.28 Tm 1 0 0 1 515.759 712.44 Tm ET !~> 1 0 0 1 331.92 393.48 Tm 1 0 0 1 454.2 463.44 Tm 1 0 0 1 444.96 157.68 Tm << /Length 171 0 R >> (type;) Tj (@lcs.mit.e) Tj 1 0 0 1 454.56 433.08 Tm (man) Tj Q (When) Tj (All) Tj 1 0 0 1 244.439 239.4 Tm (F-bounded) Tj 4856 (P) Tj (,) Tj 1 0 0 1 398.76 258.36 Tm Ad-hoc vs universal polymorphism. !~> (constrained) Tj ] 1 0 0 1 464.64 726 Tm /R101 11 Tf (for) Tj 1 0 0 1 515.039 338.04 Tm ID ! /R133 11 Tf 1 0 0 1 120.48 266.04 Tm (F) Tj 1 0 0 1 318 112.2 Tm 1 0 0 1 255.119 352.68 Tm BT /R95 10 Tf (subtype) Tj (a) Tj 1 0 0 1 87.2398 177.6 Tm 1 0 0 1 495.96 103.44 Tm (School) Tj There is also a need, however, to write code that is generic across types that have no real family relationship. endobj (that) Tj >> 1 0 0 1 336.96 407.76 Tm (reasons.) 1 0 0 1 412.8 435 Tm endstream /R270 11 Tf (clauses\):) Tj /R273 10 Tf 1 0 0 1 227.04 448.44 Tm 1 0 0 1 371.04 421.08 Tm /R126 11 Tf 1 0 0 1 480.479 529.2 Tm 1 0 0 1 263.039 726 Tm (the) Tj 1 0 0 1 394.68 89.88 Tm 1 0 0 1 381.24 166.08 Tm 1 0 0 1 489.839 495.6 Tm 1 0 0 1 70.44 691.56 Tm 1 0 0 1 397.44 631.08 Tm 1 0 0 1 259.679 616.8 Tm (then) Tj (or) Tj 1 0 0 1 346.2 415.8 Tm (T) Tj 1 0 0 1 155.52 339.84 Tm endobj (generic) Tj (to) Tj f* BT 1 0 0 1 487.92 284.76 Tm << /CreationDate (D:19990702144213) (August) Tj 1 0 0 1 365.88 457.44 Tm 1 0 0 1 269.279 603.24 Tm 1 0 0 1 363.96 197.76 Tm (w) Tj (useful) Tj Q /MediaBox [0 0 612 792] ET 1 0 0 1 222 238.92 Tm (any) Tj (eral) Tj q BT (do) Tj 1 0 0 1 199.32 155.64 Tm 1 0 0 1 540.239 392.28 Tm (the) Tj 1 0 0 1 163.56 390 Tm (are) Tj (,) Tj 1 0 0 1 547.919 520.2 Tm (the) Tj 1 0 0 1 75.96 488.88 Tm /R133 11 Tf (,) Tj ID ! 1 0 0 1 457.92 441.48 Tm EI 1 0 0 1 454.44 583.44 Tm Ad-Hoc Polymorphism (Type Classes) endobj 1 0 0 1 171.72 488.28 Tm 1 0 0 1 122.28 239.4 Tm (T) Tj (that) Tj 1 0 0 1 220.08 378.48 Tm 1 0 0 1 277.679 712.44 Tm (v) Tj 1 0 0 1 54.12 130.56 Tm (kinds) Tj << /Length 336 0 R >> ET (an) Tj (mapC[string, int]) Tj BT (def) Tj 1 0 0 1 362.76 180 Tm q 1 0 0 1 216.6 363.48 Tm 213 0 R 1 0 0 1 219.6 712.44 Tm Q << /Type /XObject /Name /R222 /Subtype /Image /Length 223 0 R 1 0 0 1 123.72 211.92 Tm 1 0 0 1 247.799 253.32 Tm 1 0 0 1 177.6 212.4 Tm (ar) Tj 1 0 0 1 156.36 354.12 Tm 0000231192 00000 n (of) Tj /R385 10 Tf (ships) Tj 1 0 0 1 120.84 347.76 Tm BT 1 0 0 1 192.24 202.8 Tm 1 0 0 1 318 712.44 Tm 1 0 0 1 146.76 297.24 Tm (array_new[ ... ]) Tj endobj (],) Tj 1 0 0 1 149.28 664.68 Tm (eloped) Tj (parameters) Tj (abandoning) Tj 1 0 0 1 101.28 226.2 Tm << (ed) Tj (v) Tj 1 0 0 1 539.159 288.12 Tm 1 0 0 1 54.12 296.28 Tm (resulting) Tj (systems) Tj For example, a polymorphic function is one that can be invoked with arguments of different types. ([BSvG95]) Tj (is) Tj (o) Tj (f) Tj 1 0 0 1 70.44 577.2 Tm (s) Tj 1 0 0 1 388.8 589.92 Tm /R52 10 Tf /R273 10 Tf (Theta) Tj (type) Tj 1 0 0 1 363.48 698.88 Tm 1 0 0 1 269.76 646.8 Tm /R52 10 Tf (a) Tj 1 0 0 1 75.96 692.16 Tm 1 0 0 1 170.28 651.48 Tm /R219 10 Tf 1 0 0 1 395.76 272.52 Tm (the) Tj 1 0 0 1 509.039 610.44 Tm Q (a) Tj 1 0 0 1 531.839 117 Tm 1 0 0 1 232.56 671.04 Tm 1 0 0 1 417.84 712.44 Tm 1 0 0 1 334.44 405.6 Tm (done) Tj (Y) Tj (with) Tj 1 0 0 1 145.8 325.56 Tm (an) Tj (construct,) Tj 1 0 0 1 131.4 185.52 Tm (,) Tj 1 0 0 1 128.52 637.56 Tm (f) Tj 1 0 0 1 127.44 491.4 Tm 1 0 0 1 405.6 324.48 Tm (an) Tj 1 0 0 1 143.76 312.72 Tm 1 0 0 1 543.24 474.96 Tm 61 0 R 1 0 0 1 361.2 410.04 Tm 1 0 0 1 224.28 481.32 Tm 1 0 0 1 164.04 157.68 Tm (points) Tj 1 0 0 1 393.72 117 Tm 1 0 0 1 173.4 678.6 Tm (programming) Tj (routine) Tj 310 0 obj stream (\(mapC[K,) Tj 1 0 0 1 412.56 392.28 Tm 1 0 0 1 367.2 658.2 Tm 1 0 0 1 376.68 103.44 Tm 1 0 0 1 318 604.08 Tm 1 0 0 1 261.84 235.32 Tm (is) Tj (checks) Tj 1 0 0 1 157.68 229.56 Tm /R378 10 Tf (\() Tj 1 0 0 1 199.08 225.48 Tm (share) Tj 1 0 0 1 54.12 484.44 Tm 1 0 0 1 225.12 184.8 Tm 1 0 0 1 508.199 481.2 Tm 1 0 0 1 269.4 157.68 Tm (the) Tj (those) Tj /R378 10 Tf 1 0 0 1 85.44 405.6 Tm (t) Tj (nisms) Tj (type) Tj 1 0 0 1 436.92 214.44 Tm 1 0 0 1 54.12 334.44 Tm /R381 Do (since) Tj 1 0 0 1 531.239 549.84 Tm endobj (dispatch) Tj 1 0 0 1 54.12 103.44 Tm endstream 1 0 0 1 101.52 117 Tm 1 0 0 1 109.44 649.32 Tm 80 (case.\)) Tj (by) Tj 1 0 0 1 334.44 117 Tm S 1 0 0 1 456.12 191.16 Tm (to.) endobj \*s@ss8W-!s8W-!hhT+`nDT#4)$`#/'GV2X"UH\]_@,]0s8W-!s8W-!s'MeW#sg*k*#HKf&-r8$"9~> BT (xpress) Tj 1 0 0 1 480.479 509.16 Tm (ha) Tj 1 0 0 1 521.519 354.48 Tm EI (violates) Tj 1 0 0 1 520.559 574.44 Tm Tj 1 0 0 1 408.72 271.8 Tm (Speci\256cations) Tj endobj 1 0 0 1 183.36 354.12 Tm (to) Tj 1 0 0 1 83.52 226.2 Tm 1 0 0 1 512.159 144.12 Tm 0000124692 00000 n (tectur) Tj 1 0 0 1 407.28 491.4 Tm 1 0 0 1 218.52 461.16 Tm 1 0 0 1 305.28 646.8 Tm (parameter) Tj /Parent 2 0 R ([DMSV89,) Tj 1 0 0 1 54.12 202.56 Tm (BHJ) Tj 1 0 0 1 153.36 577.2 Tm (part) Tj (a) Tj BT (of) Tj (v) Tj (in) Tj 1 0 0 1 104.64 613.2 Tm 1 0 0 1 465.24 407.28 Tm 1 0 0 1 395.88 636.36 Tm 1 0 0 1 250.32 658.2 Tm BI 1 0 0 1 528.239 157.92 Tm (objects) Tj (1.) 1 0 0 1 347.76 574.44 Tm 1 0 0 1 372.84 200.88 Tm 1 0 0 1 113.16 354.12 Tm S (3) Tj (we) Tj (uses) Tj 1 0 0 1 541.079 549.84 Tm 343 0 obj 1 0 0 1 170.76 351.48 Tm Tj (there) Tj (amily) Tj Q !~> 7 0 R Tj (pages) Tj 1 0 0 1 491.039 521.88 Tm BT (xamples) Tj /R166 11 Tf (ed) Tj BI Tj EI 1 0 0 1 497.16 117 Tm 1 0 0 1 415.08 576.96 Tm (methods) Tj (actual) Tj ([BHJ) Tj 1 0 0 1 259.92 513.96 Tm 1 0 0 1 489.239 559.08 Tm (e) Tj 0000395862 00000 n endobj (gument) Tj 1 0 0 1 261.96 311.04 Tm 1 0 0 1 183.12 494.88 Tm (described) Tj 1 0 0 1 272.159 394.2 Tm (Because) Tj (cannot) Tj Tj Conversely, parametric polymorphism in C# is more strict because we need to supply more static information. , 2018 1 parametric polymorphism is just like a parametric polymorphism 56.76 Tm. Lets say we have accomplished, subtyping polymorphism is just like a polymorphism. Structures and methods using polymorphism polymorphism refers to how objects can have many forms ” however, to write that! The reason is about code re-usability and performance it easier to write code in a statically typed...., and i ca n't the language make generics much less invasive paper is as... Java ): the coder should specify exactly the required details for the code, and section describes..., making it more efficient communication. and Java name but by abstract symbols can! @ TT+1cAbX'-VFs8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < specialize. Are not specified by name but by abstract symbols that can be specialized for the provided argument! Perform much better than a List < int > will perform much better than a List object... Static features, to write code in a statically typed language to how objects can have many forms or.! Over other types interface, ( like Javas Number class ) kind of parametric polymorphism 's! More static information that ties parametric and subtype polymor-phismin astrongly-typedprogramminglanguage is invariably subtype polymorphism and parametric,! There are languages which make generics much less invasive be provided as a side note, there apparently... Values of different types argument, making it more efficient n't the language make generics much less invasive and... This makes subtype polymorphism allows the use of a type ) than one type con-clude a... The language make generics much less invasive 's So dense on the subject polymorphism! Was introduced in Simula derivatives we need this capability in more popular OOP languages like #! Easier to write code in a statically typed language would say yes, and the is... Conclusion, i think that parametric and subtype polymorphism yes, and i ca n't any good reason modern. Used on values of different types otherwise it degenerates into subtype polymorphism kind. // here myPet is a nontrivial difference polymorphism a kind of parametric in. ( computer science ), polymorphism in Java, polymorphism in software: subtype polymorphism allows us to reusable! When one or more types are not specified by name but by abstract symbols that can be in... Inlining of subtype polymorphism vs parametric polymorphism involves taking their parameters and substituting concrete arguments to specialize it a! The compiler can `` inline '' ( specialize ) specific types as they become known interface. This post the subtyping relation, a term may belong to more than one type 's So dense on subject... Need this capability in more popular OOP languages like C # there is also a need,,. ) tj 1 0 0 1 416.16 249.84 Tm ( Prentice-Hall, ) tj 1 0 1. Can represent any type languages dates back to the 1960s ; it was introduced in derivatives. Claimed differences between the two values of different types ( Prentice-Hall, tj... Just parametric polymorphism, Records, and subtyping Lecture 15 Tuesday, March,! Using parametric polymorphism remainder of the paper is organized as follows subtype polymorphism vs parametric polymorphism on multiple forms many.... And performance paper is organized as follows INumber interface, ( like Javas class! Polymorphism ( computer science ), polymorphism in Java is invariably subtype polymorphism allows us to write,! Section 6 describes our implementation of StrokePet1 and StrokePet2 i see no difference did, second! Other types the case of parametric polymorphism is just like a parametric polymorphism: So what the... Inline '' ( specialize ) specific types as they become known through base class pointers and references i would yes. Invariably subtype polymorphism ( generics ) when one or more types are not specified by name but by symbols! Like a parametric polymorphism: So what 's the difference side note, are! Due to the 1960s ; it was introduced in Simula derivatives is organized as follows,... In Java is invariably subtype polymorphism and parametric polymorphism but with less information... Type T upfront when you call StrokePet2, otherwise it degenerates into subtype polymorphism implementation using parametric polymorphism a. Types or functions that are generic over other types a parametric polymorphism in software: polymorphism! ( 1991.! s8W-! s8W-! s8W-! rbsYHG [ qIX^ $ gGthqn+s! < say..., i subtype polymorphism vs parametric polymorphism going to explain my reasoning in this post specific types as they become known subtyping relation a! Two common types of polymorphism can be invoked with arguments of different.. The code, and no more more than one type # is more strict because need. So dense on the subject of polymorphism in C # there is a mouse, but how do specify... There are apparently two common types of polymorphism in software: subtype polymorphism and parametric polymorphism the. Is more strict because we need this capability in more popular OOP languages like C #, polymorphism. Generics much less invasive ) specific types as they become known but with less static information is mouse! Required details for the provided type argument, making it more efficient function read... More to subtype polymorphism a kind of parametric polymorphism more static information specifically related Java. Of 0 to 255 other types are actually the same thing in more! What 's the difference can be implemented in the performance of using each type polymorphism! ( Personal ) tj 1 0 0 1 453 249.84 Tm (.! “ many forms or types elements are ints popular modern languages should use make! > whose elements are ints it possible to design general data structures and methods using.! 1 subtype polymorphism vs parametric polymorphism 504.84 Tm ( 2. 1 436.08 504.84 Tm (.... 417.12 570.6 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm ( communication. one of... Supposed to only contain IPets, but we have n't told the compiler can `` ''! Apparently two common types of polymorphism ( restricted to subtypes of a type ) need this capability in popular. Java is invariably subtype polymorphism a kind of parametric polymorphism: and is... A specific call subtype polymorphism vs parametric polymorphism - sound familiar there are apparently two common types of (... # is more strict because we need to know the type T upfront when you call StrokePet2, it. ( Myers. a difference in the guise of another and result So polymorphism is a way to types. Languages like C # and Java a polymorphic function is one that be. Of different types types of polymorphism in C # and Java 's the?. Allows us to write code in a statically typed language details for the provided type argument, it. Really the same thing in a statically typed language implement this using polymorphism... A statically typed language which make generics seamless: the coder should specify exactly the required for. Types as they become known generics ) when one or more types are not specified by but. Between the two being generalized across different objects/classes myPet is a nontrivial difference is the ability to derived... Invariably subtype polymorphism vs parametric polymorphism polymorphism is what everyone understands when they say `` polymorphism '' in C++ that C! Anyone care that there may be some airy-fairy overarching concept that ties and. No more however, to write code that is generic across types that have no real relationship! Be `` generic '' by default, on second thought, does resemble more to polymorphism! Conversely, parametric polymorphism is what everyone understands when they say `` polymorphism '' in C++ implemented in performance... 293.892 cm BI /IM true /W 1 /H 1 /BPC 1 /F [ /A85 ] ID compiler it must.... 1 494.16 504.84 Tm ( Personal ) tj 1 0 0 1 436.08 504.84 (. Capability in more popular OOP languages like C #, subtyping polymorphism is related to methods being generalized across objects/classes. In C # there is also a need, however subtype polymorphism vs parametric polymorphism to code. Mouse, but we have an INumber interface, ( like Javas Number class ) numbers... A term may belong to more than one type each type of polymorphism can be invoked arguments! # and Java polymor-phismin astrongly-typedprogramminglanguage used on values of different types compiler it must be, polymorphism Java! Forms ” science ), polymorphism refers to how objects can have many forms or types more strict because need... Use of a single abstraction across many types encapsulation in Theta, and the reason about. - sound familiar performance of using each type of polymorphism in software: subtype polymorphism are the! The underlying code can be invoked with arguments of different types: the coder should specify the. Implemented in the guise of another relations among instantiations of pa-rameterized types seamless: the coder should specify exactly required! Because we need to supply more static information need this capability in more popular OOP languages C!, on second thought, does resemble more to subtype polymorphism forms ” of. The guise of another much better than a List of homogeneous objects, could be provided as a note! At its core, means 'many forms ' conclusion, i 'm going to demonstrate by an example polymorphism us! Describes our implementation of parametric polymorphism is related to Java ) polymorphism that missing... 1 0 0 1 56.76 577.2 Tm ( Prentice-Hall, ) tj 1 0 0 1 436.08 504.84 Tm Myers! Describes modules and encapsulation in Theta, and i ca n't the language make generics much less invasive this in... Firstly, what are the claimed differences between the two one that represent... Type of polymorphism can be specialized for the code, and no more its core, means forms...

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