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Ternary operation

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that takes three arguments (or operands). The arguments and result can be of different types. Many
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Mathematics across the Iron Curtain: a history of the algebraic theory of semigroups
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are both defined). Properties of this ternary operation have been used to define
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Mathematical operation that combines three elements to produce another element
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expressions provide ternary operations against records, arrays, and strings:
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and are associated with the same free vector. Any three points in the plane
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for a list of ternary operators in computer programming languages
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is a ternary operation on three points. In the diagram, points
788: 32: 822: 756:. In some languages, this operator is referred to as the 748: 499:, but otherwise a ternary composition can be defined by 679: 608: 562: 505: 442: 256: 209: 189: 129: 718: 665: 575: 548: 467: 298: 215: 195: 171: 771:. Python also supports ternary operations called 1059: 832:has a "to-by" ternary operator: the expression 734:In computer science, a ternary operator is an 719:{\displaystyle (A\lor B)\land (\lnot A\lor C)} 53:and combines them to form a single element of 995:"6. Expressions — Python 3.9.1 documentation" 927:Bulletin of the American Mathematical Society 923:The ternary operation (abc) = a bc of a group 843:In Excel formulae, the form is =if(C, x, y). 250:referred to an origin, the ternary operation 179:is an example of a ternary operation on the 779:return an array where the first element is 891: 889: 817:Another example of a ternary operator is 767:, the ternary conditional operator reads 397:can be selected arbitrarily, determining 83: 948:, page 264, History of Mathematics 41, 886: 104:, the projective harmonic conjugate of 1060: 729: 468:{\displaystyle {\mathcal {B}}(A,B)} 13: 967: 701: 666:{\displaystyle T(A,B,C)=AC+(1-A)B} 445: 49:takes any given three elements of 14: 1079: 1039: 76:as input and returns one output. 1045: 898:"Conditional (ternary) Operator" 100:, geometric construction yields 895: 1011: 987: 961: 938: 915: 713: 698: 692: 680: 657: 645: 630: 612: 524: 506: 462: 450: 334:, these directed segments are 275: 257: 151: 133: 42:= 3. A ternary operation on a 1: 950:American Mathematical Society 879: 814:is another ternary operator. 812:multiply–accumulate operation 359:projective harmonic conjugate 172:{\displaystyle T(a,b,c)=ab+c} 944:Christopher Hollings (2014) 874:Ternary equivalence relation 862:Ternary conditional operator 746:feature a ternary operator, 377:, the harmonic conjugate of 7: 846: 840:integers from 1 through 9. 357:, the process of finding a 183:(or on any structure where 79: 10: 1084: 413:produces the intersection 921:Jeremiah Certaine (1943) 902:Mozilla Developer Network 830:Icon programming language 549:{\displaystyle =pq^{T}r} 489:Composition of relations 306:has been used to define 491:is always defined when 216:{\displaystyle \times } 795:would mean the string 754:conditional expression 720: 667: 577: 550: 469: 350:at the fourth vertex. 300: 299:{\displaystyle =a-b+c} 227:in the foundations of 217: 197: 173: 117: 740:programming languages 721: 668: 578: 576:{\displaystyle q^{T}} 551: 475:is the collection of 470: 393:and the line through 301: 218: 198: 174: 87: 1054:at Wikimedia Commons 783:and last element is 758:conditional operator 677: 673:defines the formula 606: 560: 503: 440: 254: 225:planar ternary rings 207: 187: 127: 436:are given sets and 355:projective geometry 229:projective geometry 1068:Ternary operations 1052:Ternary operations 970:"Ternary Operator" 752:, which defines a 716: 663: 573: 546: 465: 296: 213: 193: 169: 118: 1050:Media related to 957:978-1-4704-1493-1 857:Majority function 585:converse relation 342:thus determine a 196:{\displaystyle +} 72:that takes three 25:ternary operation 1075: 1049: 1033: 1032: 1030: 1029: 1015: 1009: 1008: 1006: 1005: 991: 985: 984: 982: 980: 974:Cprogramming.com 965: 959: 942: 936: 919: 913: 912: 910: 908: 893: 835: 806: 802: 798: 794: 786: 782: 778: 770: 751: 730:Computer science 725: 723: 722: 717: 672: 670: 669: 664: 582: 580: 579: 574: 572: 571: 555: 553: 552: 547: 542: 541: 477:binary relations 474: 472: 471: 466: 449: 448: 381:with respect to 373:determine point 305: 303: 302: 297: 222: 220: 219: 214: 202: 200: 199: 194: 178: 176: 175: 170: 108:with respect to 66:ternary operator 62:computer science 1083: 1082: 1078: 1077: 1076: 1074: 1073: 1072: 1058: 1057: 1042: 1037: 1036: 1027: 1025: 1017: 1016: 1012: 1003: 1001: 999:docs.python.org 993: 992: 988: 978: 976: 966: 962: 943: 939: 920: 916: 906: 904: 894: 887: 882: 849: 833: 804: 800: 796: 792: 784: 780: 776: 768: 747: 732: 678: 675: 674: 607: 604: 603: 600:Boolean algebra 567: 563: 561: 558: 557: 537: 533: 504: 501: 500: 444: 443: 441: 438: 437: 255: 252: 251: 236:Euclidean plane 208: 205: 204: 188: 185: 184: 128: 125: 124: 82: 17: 12: 11: 5: 1081: 1071: 1070: 1056: 1055: 1041: 1040:External links 1038: 1035: 1034: 1010: 986: 968:Hoffer, Alex. 960: 937: 914: 884: 883: 881: 878: 877: 876: 871: 865: 859: 853:Median algebra 848: 845: 836:generates the 731: 728: 715: 712: 709: 706: 703: 700: 697: 694: 691: 688: 685: 682: 662: 659: 656: 653: 650: 647: 644: 641: 638: 635: 632: 629: 626: 623: 620: 617: 614: 611: 570: 566: 545: 540: 536: 532: 529: 526: 523: 520: 517: 514: 511: 508: 464: 461: 458: 455: 452: 447: 295: 292: 289: 286: 283: 280: 277: 274: 271: 268: 265: 262: 259: 212: 192: 168: 165: 162: 159: 156: 153: 150: 147: 144: 141: 138: 135: 132: 81: 78: 15: 9: 6: 4: 3: 2: 1080: 1069: 1066: 1065: 1063: 1053: 1048: 1044: 1043: 1024: 1020: 1014: 1000: 996: 990: 975: 971: 964: 958: 954: 951: 947: 941: 935: 932: 928: 924: 918: 903: 899: 892: 890: 885: 875: 872: 870: 866: 863: 860: 858: 854: 851: 850: 844: 841: 839: 831: 826: 824: 821:, as used in 820: 815: 813: 808: 790: 774: 773:array slicing 769:x if C else y 766: 761: 759: 755: 750: 745: 744:C-like syntax 741: 737: 727: 710: 707: 704: 695: 689: 686: 683: 660: 654: 651: 648: 642: 639: 636: 633: 627: 624: 621: 618: 615: 609: 601: 596: 594: 590: 586: 568: 564: 543: 538: 534: 530: 527: 521: 518: 515: 512: 509: 498: 494: 490: 486: 482: 478: 459: 456: 453: 435: 431: 426: 424: 420: 416: 412: 408: 404: 400: 396: 392: 388: 384: 380: 376: 372: 368: 364: 360: 356: 351: 349: 345: 344:parallelogram 341: 337: 333: 329: 325: 321: 317: 313: 309: 293: 290: 287: 284: 281: 278: 272: 269: 266: 263: 260: 249: 245: 241: 237: 232: 230: 226: 210: 190: 182: 166: 163: 160: 157: 154: 148: 145: 142: 139: 136: 130: 123: 115: 111: 107: 103: 99: 95: 91: 86: 77: 75: 71: 67: 63: 58: 56: 52: 48: 45: 41: 37: 34: 30: 26: 22: 1026:. 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Point 318:implies 181:integers 122:function 80:Examples 70:operator 934:0009953 819:between 775:, e.g. 583:is the 340:a, b, c 234:In the 955:  765:Python 556:where 417:, and 88:Given 68:is an 27:is an 789:OCaml 346:with 38:with 981:2017 953:ISBN 909:2017 828:The 810:The 593:heap 483:and 432:and 409:and 401:and 385:and 369:and 314:) = 203:and 120:The 112:and 64:, a 23:, a 855:or 838:odd 823:SQL 763:In 598:In 587:of 353:In 312:abc 60:In 44:set 33:ary 19:In 1064:: 1021:. 997:. 972:. 931:MR 925:, 900:. 888:^ 825:. 807:. 787:. 760:. 749:?: 726:. 602:, 595:. 495:= 487:. 425:. 419:RQ 411:BD 407:AC 365:, 330:– 326:= 322:– 246:, 242:, 231:. 92:, 57:. 1031:. 1007:. 983:. 911:. 805:c 801:b 797:a 785:a 781:a 777:a 714:) 711:C 705:A 699:( 693:) 690:B 684:A 681:( 661:B 658:) 655:A 649:1 646:( 643:+ 640:C 637:A 634:= 631:) 628:C 625:, 622:B 619:, 616:A 613:( 610:T 589:q 569:T 565:q 544:r 539:T 535:q 531:p 528:= 525:] 522:r 519:, 516:q 513:, 510:p 507:[ 497:B 493:A 485:B 481:A 463:) 460:B 457:, 454:A 451:( 446:B 434:B 430:A 423:V 415:Q 403:D 399:C 395:P 391:R 387:B 383:A 379:P 375:V 371:P 367:B 363:A 348:d 332:d 328:c 324:b 320:a 316:d 294:c 291:+ 288:b 282:a 279:= 276:] 273:c 270:, 267:b 264:, 261:a 258:[ 248:c 244:b 240:a 191:+ 167:c 164:+ 161:b 158:a 155:= 152:) 149:c 146:, 143:b 140:, 137:a 134:( 131:T 116:. 114:B 110:A 106:P 102:V 98:P 94:B 90:A 55:A 51:A 47:A 40:n 31:- 29:n

Index

mathematics
ary
operation
set
computer science
operator
arguments

function
integers
planar ternary rings
projective geometry
Euclidean plane
free vectors
equipollent
parallelogram
projective geometry
projective harmonic conjugate
binary relations
Composition of relations
converse relation
heap
Boolean algebra
operator
programming languages
C-like syntax
?:
conditional expression
Python
array slicing

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