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Omega function

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492: 100: 281: 426: 462: 378: 240: 181: 312: 340: 55: 484: 203: 144: 122: 524: 384: 68: 347: 245: 389: 431: 150: 436: 352: 214: 155: 500: 209: 317: 286: 325: 40: 467: 186: 127: 105: 510:
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507: 470: 439: 392: 355: 328: 289: 248: 217: 189: 158: 130: 108: 71: 43: 478: 456: 420: 372: 334: 306: 275: 234: 197: 175: 138: 116: 94: 49: 475: 464:, giving the number of distinct prime factors of 453: 369: 303: 272: 231: 194: 172: 135: 113: 91: 183:, giving the total number of prime factors of 8: 31:refers to a function using the Greek letter 474: 469: 452: 438: 397: 391: 368: 354: 327: 302: 288: 271: 265: 247: 230: 216: 193: 188: 171: 157: 134: 129: 112: 107: 90: 70: 42: 205:, counting them with their multiplicity. 7: 497:Topics referred to by the same term 380:, related to the Lambert W Function 95:{\displaystyle f\in \Omega (g)\,\!} 276:{\displaystyle y=x\cdot e^{x}\,\!} 218: 159: 78: 44: 25: 525:Mathematics disambiguation pages 490: 421:{\displaystyle \omega _{m,n}(x)} 457:{\displaystyle \omega (n)\,\!} 449: 443: 415: 409: 373:{\displaystyle \omega (x)\,\!} 365: 359: 299: 293: 235:{\displaystyle \Omega (x)\,\!} 227: 221: 176:{\displaystyle \Omega (n)\,\!} 168: 162: 87: 81: 1: 102:, meaning that the function 385:Pearson–Cunningham function 541: 489: 57:(big omega) may refer to: 307:{\displaystyle W(x)\,\!} 335:{\displaystyle \omega } 50:{\displaystyle \Omega } 480: 458: 422: 374: 342:(omega) may refer to: 336: 308: 277: 236: 199: 177: 140: 118: 96: 51: 481: 479:{\displaystyle n\,\!} 459: 423: 375: 348:Wright omega function 337: 309: 278: 237: 200: 198:{\displaystyle n\,\!} 178: 141: 139:{\displaystyle g\,\!} 119: 117:{\displaystyle f\,\!} 97: 52: 468: 437: 432:prime omega function 390: 353: 326: 287: 246: 215: 187: 156: 151:prime omega function 128: 106: 69: 41: 61:The lower bound in 476: 454: 418: 370: 332: 304: 273: 232: 210:Lambert W function 195: 173: 136: 114: 92: 47: 35:, written ω or Ω. 18:Big Omega function 511: 318:Absolute infinity 242:, the inverse of 16:(Redirected from 532: 505: 494: 485: 483: 482: 477: 463: 461: 460: 455: 427: 425: 424: 419: 408: 407: 379: 377: 376: 371: 341: 339: 338: 333: 313: 311: 310: 305: 282: 280: 279: 274: 270: 269: 241: 239: 238: 233: 204: 202: 201: 196: 182: 180: 179: 174: 145: 143: 142: 137: 123: 121: 120: 115: 101: 99: 98: 93: 56: 54: 53: 48: 27:In mathematics, 21: 540: 539: 535: 534: 533: 531: 530: 529: 515: 514: 513: 512: 504: 498: 466: 465: 435: 434: 393: 388: 387: 351: 350: 324: 323: 285: 284: 283:, also denoted 261: 244: 243: 213: 212: 185: 184: 154: 153: 126: 125: 104: 103: 67: 66: 39: 38: 23: 22: 15: 12: 11: 5: 538: 536: 528: 527: 517: 516: 501:disambiguation 496: 495: 488: 487: 473: 451: 448: 445: 442: 428: 417: 414: 411: 406: 403: 400: 396: 381: 367: 364: 361: 358: 331: 321: 320: 315: 301: 298: 295: 292: 268: 264: 260: 257: 254: 251: 229: 226: 223: 220: 206: 192: 170: 167: 164: 161: 147: 133: 111: 89: 86: 83: 80: 77: 74: 63:Big O notation 46: 29:omega function 24: 14: 13: 10: 9: 6: 4: 3: 2: 537: 526: 523: 522: 520: 509: 508:internal link 502: 493: 471: 446: 440: 433: 429: 412: 404: 401: 398: 394: 386: 382: 362: 356: 349: 345: 344: 343: 329: 319: 316: 296: 290: 266: 262: 258: 255: 252: 249: 224: 211: 207: 190: 165: 152: 148: 146:in some limit 131: 109: 84: 75: 72: 64: 60: 59: 58: 36: 34: 30: 19: 322: 37: 28: 26: 124:dominates 441:ω 395:ω 357:ω 330:ω 259:⋅ 219:Ω 160:Ω 79:Ω 76:∈ 45:Ω 519:Category 506:If an 499:This 33:omega 430:The 383:The 346:The 208:The 149:The 521:: 65:, 486:. 472:n 450:) 447:n 444:( 416:) 413:x 410:( 405:n 402:, 399:m 366:) 363:x 360:( 314:. 300:) 297:x 294:( 291:W 267:x 263:e 256:x 253:= 250:y 228:) 225:x 222:( 191:n 169:) 166:n 163:( 132:g 110:f 88:) 85:g 82:( 73:f 20:)

Index

Big Omega function
omega
Big O notation
prime omega function
Lambert W function
Absolute infinity
Wright omega function
Pearson–Cunningham function
prime omega function
Disambiguation icon
disambiguation
internal link
Category
Mathematics disambiguation pages

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