Knowledge

Generalization

Source đź“ť

244: 281:
is the process of selecting and representing information of a map in a way that adapts to the scale of the display medium of the map. In this way, every map has, to some extent, been generalized to match the criteria of display. This includes small cartographic scale maps, which cannot convey every
289:
Generalization is meant to be context-specific. That is to say, correctly generalized maps are those that emphasize the most important map elements, while still representing the world in the most faithful and recognizable way. The level of detail and importance in what is remaining on the map must
59:
Generalization can also be used to refer to the process of identifying the parts of a whole, as belonging to the whole. The parts, which might be unrelated when left on their own, may be brought together as a group, hence belonging to the whole by establishing a common relation between them.
247:
When the mind makes a generalization, it extracts the essence of a concept based on its analysis of similarities from many discrete objects. The resulting simplification enables higher-level thinking.
70:
The concept of generalization has broad application in many connected disciplines, and might sometimes have a more specific meaning in a specialized context (e.g. generalization in psychology,
475: 282:
detail of the real world. As a result, cartographers must decide and then adjust the content within their maps, to create a suitable and useful map that conveys the
290:
outweigh the insignificance of items that were generalized—so as to preserve the distinguishing characteristics of what makes the map useful and important.
36:
whereby common properties of specific instances are formulated as general concepts or claims. Generalizations posit the existence of a domain or
67:
parts. This does not mean that the parts are unrelated, only that no common relation has been established yet for the generalization.
547: 564: 683: 20: 688: 278: 268: 511: 71: 40:
of elements, as well as one or more common characteristics shared by those elements (thus creating a
678: 647: 527: 139: 138:, since every bird is an animal, but not all animals are birds (dogs, for instance). For more, see 63:
However, the parts cannot be generalized into a whole—until a common relation is established among
498: 441: 370: 574: 522: 569: 542: 8: 485: 179: 622: 230:. A hypernym is superordinate to a hyponym, and a hyponym is subordinate to a hypernym. 537: 481: 56:
is necessary to determine whether a generalization holds true for any given situation.
532: 516: 243: 166: 596: 553: 435: 428: 343: 41: 505: 351: 335: 151: 53: 206:. In contrast, a hyponym is one of the items included in the generic, such as 672: 424: 417: 366: 339: 97: 413: 401: 299: 274: 33: 409: 283: 37: 182:
stands for a class or group of equally ranked items, such as the term
405: 390: 379: 256: 45: 362: 347: 171: 262: 397: 358: 175: 382:
is a generalization of a 2-dimensional square, a 3-dimensional
252: 559: 49: 277:
as an art of creating maps for different scale and purpose.
383: 286:
information within their representation of the world.
44:). As such, they are the essential basis of all valid 444: 469: 623:"Definition and Examples of Hypernyms in English" 52:, mathematics and science), where the process of 670: 597:"Definition of generalization | Dictionary.com" 512:Class diagram § Generalization/Inheritance 302:, one commonly says that a concept or a result 293: 263:Cartographic generalization of geo-spatial data 198:which stands for equally ranked items such as 186:which stands for equally ranked items such as 104:) if and only if both of the following hold: 238: 548:Inheritance (object-oriented programming) 242: 170:) is reflected in the contrasting words 438:is a generalization of the formula for 145: 77:In general, given two related concepts 671: 620: 273:Generalization has a long history in 591: 589: 350:, which are a generalization of the 346:, which are a generalization of the 342:, which are a generalization of the 322:(historically or conceptually) and 251:An animal is a generalization of a 134:is a generalization of the concept 122:which are not instances of concept 13: 14: 700: 586: 361:is a generalization of a 3-sided 565:Ramer–Douglas–Peucker algorithm 118:There are instances of concept 112:is also an instance of concept 21:Generalization (disambiguation) 640: 614: 458: 445: 1: 580: 338:are a generalization of the 318:is defined or proved before 294:Mathematical generalizations 48:inferences (particularly in 7: 492: 416:, is a generalization of a 279:Cartographic generalization 269:Cartographic generalization 233: 10: 705: 648:"Scale and Generalization" 266: 149: 108:Every instance of concept 72:generalization in learning 18: 484:is a generalization of a 470:{\displaystyle (1+x)^{n}} 427:is a generalization of a 239:Biological generalization 130:For example, the concept 88:is a "generalization" of 684:Critical thinking skills 528:Generic (disambiguation) 501:(ethical generalization) 140:Specialisation (biology) 499:Categorical imperative 471: 248: 226:which are included in 214:which are included in 523:Faulty generalization 472: 420:to higher dimensions. 326:is a special case of 255:, a bird, a fish, an 246: 621:Nordquist, Richard. 570:Semantic compression 543:Hasty generalization 519:(scientific studies) 442: 146:Hypernym and hyponym 19:For other uses, see 689:Inductive reasoning 16:Form of abstraction 601:www.dictionary.com 575:Inventor's paradox 538:Generic antecedent 467: 249: 178:. A hypernym as a 156:The connection of 654:. 14 October 2019 533:Critical thinking 517:External validity 167:particularization 696: 664: 663: 661: 659: 644: 638: 637: 635: 633: 618: 612: 611: 609: 607: 593: 554:Mutatis mutandis 476: 474: 473: 468: 466: 465: 436:binomial formula 429:MacLaurin series 344:rational numbers 329: 325: 321: 317: 313: 305: 42:conceptual model 704: 703: 699: 698: 697: 695: 694: 693: 679:Generalizations 669: 668: 667: 657: 655: 646: 645: 641: 631: 629: 619: 615: 605: 603: 595: 594: 587: 583: 506:Ceteris paribus 495: 461: 457: 443: 440: 439: 386:, and so on to 369:, and so on to 352:natural numbers 336:complex numbers 327: 323: 319: 315: 311: 303: 296: 271: 265: 259:and a reptile. 241: 236: 194:, and the term 154: 152:Semantic change 148: 24: 17: 12: 11: 5: 702: 692: 691: 686: 681: 666: 665: 639: 613: 584: 582: 579: 578: 577: 572: 567: 562: 557: 550: 545: 540: 535: 530: 525: 520: 514: 509: 502: 494: 491: 490: 489: 478: 464: 460: 456: 453: 450: 447: 432: 421: 394: 376: 355: 308:generalization 295: 292: 267:Main article: 264: 261: 240: 237: 235: 232: 162:specialization 158:generalization 147: 144: 128: 127: 116: 30:generalization 15: 9: 6: 4: 3: 2: 701: 690: 687: 685: 682: 680: 677: 676: 674: 653: 649: 643: 628: 624: 617: 602: 598: 592: 590: 585: 576: 573: 571: 568: 566: 563: 561: 558: 556: 555: 551: 549: 546: 544: 541: 539: 536: 534: 531: 529: 526: 524: 521: 518: 515: 513: 510: 508: 507: 503: 500: 497: 496: 487: 483: 479: 462: 454: 451: 448: 437: 433: 430: 426: 425:Taylor series 422: 419: 418:conic section 415: 411: 407: 403: 399: 395: 392: 389: 385: 381: 377: 374: 373: 368: 367:quadrilateral 364: 360: 356: 353: 349: 345: 341: 337: 333: 332: 331: 309: 301: 291: 287: 285: 280: 276: 270: 260: 258: 254: 245: 231: 229: 225: 221: 217: 213: 209: 205: 201: 197: 193: 189: 185: 181: 177: 173: 169: 168: 163: 159: 153: 143: 141: 137: 133: 125: 121: 117: 115: 111: 107: 106: 105: 103: 99: 95: 91: 87: 84: 80: 75: 73: 68: 66: 61: 57: 55: 51: 47: 43: 39: 35: 32:is a form of 31: 26: 22: 656:. Retrieved 651: 642: 630:. Retrieved 626: 616: 604:. Retrieved 600: 552: 504: 400:, such as a 387: 371: 365:, a 4-sided 340:real numbers 307: 297: 288: 272: 250: 227: 223: 219: 215: 211: 207: 203: 199: 195: 191: 187: 183: 165: 161: 157: 155: 135: 131: 129: 123: 119: 113: 109: 101: 98:special case 93: 89: 85: 82: 78: 76: 69: 64: 62: 58: 54:verification 29: 27: 25: 658:30 November 632:30 November 606:30 November 414:hyperboloid 402:hypersphere 300:mathematics 275:cartography 34:abstraction 673:Categories 581:References 410:paraboloid 391:dimensions 284:geospatial 150:See also: 652:Axis Maps 627:ThoughtCo 406:ellipsoid 380:hypercube 257:amphibian 92:(equiv., 46:deductive 493:See also 363:triangle 348:integers 234:Examples 172:hypernym 398:quadric 359:polygon 224:steamer 220:cruiser 204:steamer 200:cruiser 180:generic 176:hyponym 375:sides. 253:mammal 218:, and 132:animal 560:-onym 486:field 412:, or 306:is a 208:peach 188:peach 96:is a 50:logic 660:2019 634:2019 608:2019 482:ring 434:The 384:cube 334:The 228:ship 222:and 216:tree 210:and 202:and 196:ship 190:and 184:tree 174:and 164:(or 136:bird 81:and 74:). 314:if 310:of 298:In 212:oak 192:oak 160:to 100:of 65:all 38:set 675:: 650:. 625:. 599:. 588:^ 480:A 423:A 408:, 404:, 396:A 378:A 357:A 330:. 142:. 114:A. 83:B, 28:A 662:. 636:. 610:. 488:. 477:. 463:n 459:) 455:x 452:+ 449:1 446:( 431:. 393:. 388:n 372:n 354:. 328:B 324:A 320:B 316:A 312:A 304:B 126:. 124:B 120:A 110:B 102:A 94:B 90:B 86:A 79:A 23:.

Index

Generalization (disambiguation)
abstraction
set
conceptual model
deductive
logic
verification
generalization in learning
special case
Specialisation (biology)
Semantic change
particularization
hypernym
hyponym
generic
Diagram
mammal
amphibian
Cartographic generalization
cartography
Cartographic generalization
geospatial
mathematics
complex numbers
real numbers
rational numbers
integers
natural numbers
polygon
triangle

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑