Knowledge

File:Liouville-harmonic.svg

Source 📝

38: 267: 232: 431: 324: 273: 278: 584: 541: 498: 169: 622:. That is, this is a graph of :<math>M(n)=\sum_{k=1}^n \frac{\lambda(k)}{k}</math> for <math>1\le n \le 10^4</math> == Licensing == Created by Linas Vepstas [[User 211: 689: 446: 239: 243:, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. 353: 694: 100: 657:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
60: 56: 52: 48: 42: 413: 338: 69: 391: 660:
If the file has been modified from its original state, some details may not fully reflect the modified file.
583: 578: 540: 535: 606: 563: 520: 177: 385: 297: 365: 637:
The following pages on the English Knowledge use this file (pages on other projects are not listed):
345: 398:
If you think that a local copy of this file should be retained, then replace this Template with
349: 237:
Permission is granted to copy, distribute and/or modify this document under the terms of the
8: 684: 646: 401: 641: 619: 91: 323: 497: 492: 384:
If this file is freely licensed, but otherwise unsuitable for Commons (e.g. out of
285: 37: 288: 615: 602: 559: 516: 231: 87: 331: 678: 408:
Please ensure that the file has a properly descriptive and unambiguous name
266: 594: 551: 508: 253://en.wikipedia.org/Wikipedia:Text_of_the_GNU_Free_Documentation_License 221: 439: 465:
Click on a date/time to view the file as it appeared at that time.
272: 388:, still copyrighted in the US), then replace this Template with 296:
This licensing tag was added to this file as part of the GFDL
277: 164:{\displaystyle M(n)=\sum _{k=1}^{n}{\frac {\lambda (k)}{k}}} 404:|reason=<Why a local copy is needed>}} 74:(SVG file, nominally 600 × 480 pixels, file size: 15 KB) 394:|reason=<Why it can't be moved>}} 635: 180: 103: 463: 414:Knowledge:File mover#What files should be renamed? 205: 163: 690:Creative Commons Attribution-ShareAlike 3.0 files 676: 628: 438:This file was suggested for transfer by a bot ( 311:https://creativecommons.org/licenses/by-sa/3.0/ 337:Any user may perform this transfer; refer to 14: 41:Size of this PNG preview of this SVG file: 377:Endorse this file for transfer by adding 330:This file is a candidate to be copied to 78: 677: 695:Knowledge license migration completed 669:Produced by GNUPLOT 4.0 patchlevel 0 364:transfer it; repeat violators may be 425: 318: 261: 226: 445:. Please verify that this file is 13: 655: 206:{\displaystyle 1\leq n\leq 10^{3}} 79: 67: 706: 662: 379:|human=<your username> 339:Knowledge:Moving files to Commons 636: 429: 322: 284:This work is licensed under the 276: 271: 265: 230: 21: 629:You cannot overwrite this file. 344:If this file has problems with 94:. That is, this is a graph of 528:batter scaling to show details 460: 250:GNU Free Documentation License 240:GNU Free Documentation License 152: 146: 113: 107: 26: 1: 31: 632: 215: 7: 652: 614:== Summary == Graph of the 10: 711: 308:Attribution-ShareAlike 3.0 289:Attribution-ShareAlike 3.0 81: 571:flipped image upside-down 424: 220:Created by Linas Vepstas 16: 36: 613: 570: 527: 449:before transferring it. 392:Do not move to Commons 207: 165: 139: 208: 166: 119: 447:suitable for Commons 178: 101: 61:2,560 × 2,048 pixels 57:1,280 × 1,024 pixels 647:User:Linas/Pictures 47:Other resolutions: 642:Liouville function 620:Liouville function 579:23:02, 4 July 2006 536:23:49, 4 July 2006 493:23:54, 4 July 2006 412:transferring; see 372:Other Instructions 356:for Commons, then 352:, or is otherwise 203: 161: 92:Liouville function 673: 672: 625: 457: 456: 453: 452: 381:to this Template. 332:Wikimedia Commons 317: 316: 260: 259: 159: 702: 663: 611: 610: 591: 568: 567: 548: 525: 524: 505: 467: 444: 433: 432: 426: 405: 395: 380: 326: 319: 313: 312: 309: 306: 301: 298:licensing update 286:Creative Commons 280: 275: 269: 262: 254: 251: 248: 234: 227: 212: 210: 209: 204: 202: 201: 170: 168: 167: 162: 160: 155: 141: 138: 133: 75: 64: 53:960 × 768 pixels 49:300 × 240 pixels 43:600 × 480 pixels 710: 709: 705: 704: 703: 701: 700: 699: 675: 674: 651: 638: 631: 626: 600: 599: 597: 589: 557: 556: 554: 546: 514: 513: 511: 503: 459: 458: 436: 430: 420: 419: 399: 389: 378: 373: 310: 307: 304: 303: 295: 293: 270: 256: 252: 249: 246: 224:on 4 July 2006 218: 197: 193: 179: 176: 175: 142: 140: 134: 123: 102: 99: 98: 84: 77: 73: 66: 65: 46: 12: 11: 5: 708: 698: 697: 692: 687: 671: 670: 667: 654: 650: 649: 644: 634: 627: 624: 623: 612: 595: 592: 586: 581: 576: 573: 572: 569: 552: 549: 543: 538: 533: 530: 529: 526: 509: 506: 500: 495: 490: 486: 485: 482: 479: 476: 473: 470: 462: 455: 454: 451: 450: 434: 422: 421: 418: 417: 406: 396: 386:Commons' scope 382: 374: 371: 370: 368:from editing. 327: 315: 314: 281: 258: 257: 244: 235: 217: 214: 200: 196: 192: 189: 186: 183: 172: 171: 158: 154: 151: 148: 145: 137: 132: 129: 126: 122: 118: 115: 112: 109: 106: 83: 80: 40: 35: 34: 29: 24: 19: 9: 6: 4: 3: 2: 707: 696: 693: 691: 688: 686: 683: 682: 680: 668: 665: 664: 661: 658: 648: 645: 643: 640: 639: 630: 621: 617: 608: 604: 598: 593: 587: 585: 582: 580: 577: 575: 574: 565: 561: 555: 550: 544: 542: 539: 537: 534: 532: 531: 522: 518: 512: 507: 501: 499: 496: 494: 491: 488: 487: 483: 480: 477: 474: 471: 469: 468: 466: 448: 443: 441: 435: 428: 427: 423: 415: 411: 407: 403: 397: 393: 387: 383: 376: 375: 369: 367: 363: 360:this tag and 359: 355: 351: 347: 342: 341:for details. 340: 334: 333: 328: 325: 321: 320: 302: 299: 292: 290: 287: 282: 279: 274: 268: 264: 263: 255: 242: 241: 236: 233: 229: 228: 225: 223: 213: 198: 194: 190: 187: 184: 181: 156: 149: 143: 135: 130: 127: 124: 120: 116: 110: 104: 97: 96: 95: 93: 89: 86:Graph of the 76: 71: 70:Original file 62: 58: 54: 50: 44: 39: 33: 30: 28: 25: 23: 20: 18: 15: 659: 656: 464: 461:File history 437: 416:for details. 409: 400:{{ 390:{{ 361: 357: 343: 336: 329: 305:Cc-by-sa-3.0 294: 283: 245: 238: 219: 173: 85: 68: 22:File history 666:Image title 346:attribution 685:GFDL files 679:Categories 633:File usage 618:summatory 588:600 × 480 545:600 × 480 502:600 × 480 478:Dimensions 402:Keep local 354:ineligible 222:User:Linas 90:summatory 27:File usage 475:Thumbnail 472:Date/Time 440:User:Fbot 350:copyright 291:License. 216:Licensing 191:≤ 185:≤ 144:λ 121:∑ 653:Metadata 616:harmonic 607:contribs 564:contribs 521:contribs 88:harmonic 32:Metadata 590:(12 KB) 547:(14 KB) 504:(15 KB) 489:current 484:Comment 366:blocked 82:Summary 72:‎ 410:before 362:DO NOT 358:remove 596:Linas 553:Linas 510:Linas 603:talk 560:talk 517:talk 481:User 335:. 247:GFDL 174:for 17:File 681:: 605:| 562:| 519:| 348:, 195:10 59:| 55:| 51:| 45:. 609:) 601:( 566:) 558:( 523:) 515:( 442:) 300:. 199:3 188:n 182:1 157:k 153:) 150:k 147:( 136:n 131:1 128:= 125:k 117:= 114:) 111:n 108:( 105:M 63:.

Index

File
File history
File usage
Metadata
File:Liouville-harmonic.svg
600 × 480 pixels
300 × 240 pixels
960 × 768 pixels
1,280 × 1,024 pixels
2,560 × 2,048 pixels
Original file
harmonic
Liouville function
User:Linas
GFDL
GNU Free Documentation License



Creative Commons
Attribution-ShareAlike 3.0
licensing update
Copy to Commons
Wikimedia Commons
Knowledge:Moving files to Commons
attribution
copyright
ineligible
blocked
Commons' scope

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