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Order (mathematics)

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473: 505: 70: 510: 481: 293: 121: 104: 429:, a partial order that is also total, in that either the relation or its inverse holds between any unequal elements 235: 311: 267: 382:, a total order wherein between any unequal pair of elements there is always an intervening element in the order 385: 454: 464: 444: 159: 328: 17: 390: 396: 324: 305: 203: 178: 126: 64: 491:
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189: 184: 132: 81: 358: 353: 343: 348: 260: 439: 42:, a binary relation generalizing the usual ordering of numbers and of words in a dictionary 448: 414: 370: 300: 280: 165: 138: 120:
NURBS order, a number one greater than the degree of the polynomial representation of a
408: 208: 423:, often called just "order" in order theory texts, a transitive antisymmetric relation 499: 420: 317: 254: 114: 92: 87: 75: 51: 39: 402: 219: 143: 458: 426: 379: 223: 45: 35: 484:
includes a list of related items that share the same name (or similar names).
108: 247: 215: 472: 393:, an ordering method on sequences analogous to alphabetical order on words 150: 229: 154: 54:, uniform structures in consequence to critical set cardinality 417:, numbers assigned to sets based on their set-theoretic order 323:
Order, the complexity of a structure within a graph: see
488: 411:, a topology of total order for totally ordered sets 67:, the cardinality of a group or period of an element 405:, study of various binary relations known as orders 478:Index of articles associated with the same name 192:, a class of scale or magnitude of any amount 8: 339:In logic, model theory and type theory: 467:, e.g., bispectrum, kurtosis, skewness 211:of the twelvefold way in combinatorics 71:Order of a polynomial (disambiguation) 376:, an academic journal on order theory 7: 16:For order in other disciplines, see 14: 506:Set index articles on mathematics 209:Ordered selections and partitions 471: 296:, the number of nodes in a graph 146:, the lowest degree of its terms 279:Long-range aperiodic order, in 266:Orders of construction in the 250:, or complex order in fractals 129:, a measurement of convergence 1: 399:, list of order theory topics 299:First order and second order 122:non-uniform rational B-spline 105:Order (differential equation) 26:in mathematics may refer to: 111:, of a differential equation 109:order of highest derivative 527: 470: 461:, power spectrum, variance 308:of directed acyclic graphs 236:Weak order of permutations 15: 511:Mathematical terminology 386:Glossary of order theory 84:, an algebraic structure 76:Order of a square matrix 465:Higher-order statistics 455:Second-order statistics 168:, a space-filling curve 160:Orders of approximation 144:Order of a power series 445:First-order statistics 329:bramble (graph theory) 253:Order of extension in 18:Order (disambiguation) 391:Lexicographical order 181:in modular arithmetic 397:List of order topics 325:haven (graph theory) 318:Elimination ordering 314:of undirected graphs 306:Topological ordering 204:Josephus permutation 179:Multiplicative order 127:Order of convergence 65:Order (group theory) 451:, median, quantiles 312:Degeneracy ordering 190:Orders of magnitude 185:Order of operations 133:Order of derivation 82:Order (ring theory) 359:Higher-order logic 354:Second-order logic 344:Zeroth-order logic 263:(Rényi dimensions) 482:set index article 349:First-order logic 320:of chordal graphs 261:fractal dimension 162:in Big O notation 518: 492: 475: 440:Order statistics 214:Ordered set, a 149:Ordered list, a 526: 525: 521: 520: 519: 517: 516: 515: 496: 495: 494: 493: 486: 485: 479: 449:arithmetic mean 436: 415:Ordinal numbers 367: 337: 301:logic of graphs 290: 281:pinwheel tiling 276: 268:Pythagoras tree 244: 199: 175: 166:Z-order (curve) 139:entire function 101: 78:, its dimension 61: 32: 21: 12: 11: 5: 524: 522: 514: 513: 508: 498: 497: 477: 476: 469: 468: 462: 452: 442: 435: 432: 431: 430: 424: 418: 412: 409:Order topology 406: 400: 394: 388: 383: 377: 366: 363: 362: 361: 356: 351: 346: 336: 333: 332: 331: 321: 315: 309: 303: 297: 289: 286: 285: 284: 283:, for instance 275: 272: 271: 270: 264: 257: 251: 243: 240: 239: 238: 233: 232:or combination 226: 212: 206: 198: 195: 194: 193: 187: 182: 174: 171: 170: 169: 163: 157: 147: 141: 135: 130: 124: 118: 112: 100: 97: 96: 95: 90: 85: 79: 73: 68: 60: 57: 56: 55: 48: 43: 31: 28: 13: 10: 9: 6: 4: 3: 2: 523: 512: 509: 507: 504: 503: 501: 490: 489:internal link 483: 474: 466: 463: 460: 456: 453: 450: 446: 443: 441: 438: 437: 433: 428: 425: 422: 421:Partial order 419: 416: 413: 410: 407: 404: 401: 398: 395: 392: 389: 387: 384: 381: 378: 375: 373: 369: 368: 364: 360: 357: 355: 352: 350: 347: 345: 342: 341: 340: 334: 330: 326: 322: 319: 316: 313: 310: 307: 304: 302: 298: 295: 292: 291: 287: 282: 278: 277: 273: 269: 265: 262: 258: 256: 255:Lakes of Wada 252: 249: 246: 245: 241: 237: 234: 231: 227: 225: 221: 217: 213: 210: 207: 205: 202:Order in the 201: 200: 197:Combinatorics 196: 191: 188: 186: 183: 180: 177: 176: 172: 167: 164: 161: 158: 156: 152: 148: 145: 142: 140: 136: 134: 131: 128: 125: 123: 119: 116: 115:Leading-order 113: 110: 106: 103: 102: 98: 94: 93:Ordered field 91: 89: 88:Ordered group 86: 83: 80: 77: 74: 72: 69: 66: 63: 62: 58: 53: 52:Ramsey theory 49: 47: 44: 41: 40:partial order 37: 34: 33: 29: 27: 25: 19: 403:Order theory 371: 365:Order theory 338: 220:cyclic order 137:Order of an 23: 22: 459:correlation 427:Total order 380:Dense order 294:Graph order 224:permutation 46:Ordered set 36:Total order 500:Categories 434:Statistics 228:Unordered 173:Arithmetic 30:Set theory 374:(journal) 259:Order of 248:Complexor 216:bijection 50:Order in 457:, e.g., 447:, e.g., 274:Geometry 242:Fractals 151:sequence 99:Analysis 59:Algebra 487:If an 288:Graphs 230:subset 480:This 372:Order 335:Logic 222:, or 155:tuple 117:terms 24:Order 327:and 38:and 153:or 107:or 502:: 218:, 20:.

Index

Order (disambiguation)
Total order
partial order
Ordered set
Ramsey theory
Order (group theory)
Order of a polynomial (disambiguation)
Order of a square matrix
Order (ring theory)
Ordered group
Ordered field
Order (differential equation)
order of highest derivative
Leading-order
non-uniform rational B-spline
Order of convergence
Order of derivation
entire function
Order of a power series
sequence
tuple
Orders of approximation
Z-order (curve)
Multiplicative order
Order of operations
Orders of magnitude
Josephus permutation
Ordered selections and partitions
bijection
cyclic order

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