Knowledge (XXG)

File:Uniform continuity animation.gif

Source 📝

129:{{-1, 3}, {0, 2.2}}, PlotStyle -> {Thickness}, \ Ticks -> False], Plot + 1, {x, 1.1, 3}, PlotRange -> {{-1, 3}, {0, 2.2}}, PlotStyle -> {Thickness}, Ticks -> False], Graphics]} ]; Show + 1, {x, -1, 0.9}, PlotRange -> {{-1, 3}, {0, 2.2}}, PlotStyle -> {Thickness}, Ticks -> False], Plot + 1, {x, 1.1, 3}, PlotRange -> {{-1, 3}, {0, 2.2}}, PlotStyle -> {Thickness}, Ticks -> False], Graphics[{ Disk, Circle} ]} ]; 181: 272: 187: 192: 67: 128:
f := Which[x <= 0, 0, 0 < x < 1/n, n x, 1/n ≤ x, 1]; Table[Plot[f[n^2, x - 1] + 1, {x, -1, 3}, PlotRange -> {{-1, 3}, {0, 2.2}}, PlotStyle -> {Thickness[ 0.02]}, Ticks -> False], {n, 1, 10}] Show + 1, { x, -1, 0.9}, PlotRange ->
708: 678: 233:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. 786: 38: 289: 78: 46: 287:; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled 279: 589: 519: 502: 466: 707: 702: 240: 609: 573: 450: 424: 409: 394: 284: 539: 486: 416: 367: 350: 202: 739:
The following pages on the English Knowledge (XXG) use this file (pages on other projects are not listed):
725:{{Information |Description ={{en|1=animation showing a discontinuous function as a pointwise limit of 239:– If you remix, transform, or build upon the material, you must distribute your contributions under the 718: 688: 401: 199: 743: 726: 677: 672: 37: 86: 266: 277:
Permission is granted to copy, distribute and/or modify this document under the terms of the
158: 122: 174:
I, the copyright holder of this work, hereby publish it under the following licenses:
73: 766: 138: 729:
mathematica source code: <nowiki> f := Which; Table[Plot[f[n^2, x -
796: 645:
Click on a date/time to view the file as it appeared at that time.
121:
animation showing a discontinuous function as a pointwise limit of
776: 61: 761: 334:
Add a one-line explanation of what this file represents
520:
Creative Commons Attribution-ShareAlike 3.0 Unported
503:
GNU Free Documentation License, version 1.2 or later
283:, Version 1.2 or any later version published by the 105: 85:
Commons is a freely licensed media file repository.
402:https://commons.wikimedia.org/user:Jakob.scholbach 51:(288 × 177 pixels, file size: 12 KB, MIME type: 250:https://creativecommons.org/licenses/by-sa/3.0 66: 256:Creative Commons Attribution-Share Alike 3.0 180: 8: 216:– to copy, distribute and transmit the work 647: 330: 315:You may select the license of your choice. 754:The following other wikis use this file: 741: 623: 607: 587: 571: 553: 537: 517: 500: 484: 464: 448: 381: 365: 348: 345: 326: 319: 7: 295:http://www.gnu.org/copyleft/fdl.html 203:Attribution-Share Alike 3.0 Unported 767:Lankide:Santi Dzrg/Funtzio jarraitu 636: 191: 186: 339: 333: 314: 177: 173: 115: 98: 44: 338: 324: 271: 270: 227:Under the following conditions: 198:This file is licensed under the 190: 185: 179: 111:Uniform continuity animation.gif 65: 47:Uniform_continuity_animation.gif 31: 21: 321: 116: 41:No higher resolution available. 14: 320: 301:GNU Free Documentation License 290:GNU Free Documentation License 280:GNU Free Documentation License 26: 1: 590:original creation by uploader 346:Items portrayed in this file 55:, looped, 16 frames, 2.4 s) 815: 793:Usage on vi.wikipedia.org 783:Usage on ta.wikipedia.org 773:Usage on it.wikipedia.org 758:Usage on eu.wikipedia.org 241:same or compatible license 637: 148: 126:mathematica source code: 16: 323: 285:Free Software Foundation 207: 72:This is a file from the 724: 694: 154: 144: 137: 134: 108: 76:. Information from its 79:description page there 703:21:29, 25 August 2011 673:21:32, 25 August 2011 727:continuous functions 123:continuous functions 787:தொடர்ச்சியான சார்பு 744:Continuous function 222:– to adapt the work 425:author name string 410:Wikimedia username 777:Funzione continua 750:Global file usage 732: 487:copyright license 332: 312: 311: 164: 163: 94: 93: 74:Wikimedia Commons 32:Global file usage 806: 762:Funtzio jarraitu 715: 695:better animation 685: 451:copyright status 432: 429: 419: 414: 404: 399: 308: 305: 302: 299: 296: 274: 273: 267: 263: 260: 257: 254: 251: 243:as the original. 200:Creative Commons 194: 193: 189: 188: 183: 182: 150: 140: 120: 112: 106: 90: 69: 68: 62: 56: 54: 814: 813: 809: 808: 807: 805: 804: 803: 748: 740: 733: 721: 720:Jakob.scholbach 713: 691: 690:Jakob.scholbach 683: 639: 638: 635: 634: 633: 632: 631: 630: 629: 628: 626: 616: 615: 614: 612: 601: 600: 599: 598: 597: 596: 595: 594: 592: 580: 579: 578: 576: 565: 564: 563: 562: 561: 560: 559: 558: 556: 546: 545: 544: 542: 531: 530: 529: 528: 527: 526: 525: 524: 522: 511: 510: 509: 508: 507: 505: 493: 492: 491: 489: 478: 477: 476: 475: 474: 473: 472: 471: 469: 457: 456: 455: 453: 442: 441: 440: 439: 438: 437: 436: 435: 434: 433: 431:Jakob.scholbach 430: 427: 421: 420: 417:Jakob.scholbach 415: 412: 406: 405: 400: 397: 388: 387: 386: 384: 374: 373: 372: 370: 359: 358: 357: 356: 355: 353: 337: 336: 335: 318: 317: 316: 306: 303: 300: 297: 294: 265: 264: 261: 258: 255: 252: 249: 248: 206: 195: 176: 175: 170: 165: 159:Jakob.scholbach 130: 110: 103: 96: 95: 84: 83: 82:is shown below. 58: 52: 50: 43: 42: 12: 11: 5: 812: 810: 802: 801: 800: 799: 791: 790: 789: 781: 780: 779: 771: 770: 769: 764: 752: 751: 747: 746: 738: 737: 736: 731: 730: 723: 719: 716: 710: 705: 700: 697: 696: 693: 689: 686: 680: 675: 670: 666: 665: 662: 659: 656: 653: 650: 643: 642: 627: 624: 622: 621: 620: 619: 618: 617: 613: 608: 606: 605: 604: 603: 602: 593: 588: 586: 585: 584: 583: 582: 581: 577: 574:source of file 572: 570: 569: 568: 567: 566: 557: 555:13 August 2011 554: 552: 551: 550: 549: 548: 547: 543: 538: 536: 535: 534: 533: 532: 523: 518: 516: 515: 514: 513: 512: 506: 501: 499: 498: 497: 496: 495: 494: 490: 485: 483: 482: 481: 480: 479: 470: 465: 463: 462: 461: 460: 459: 458: 454: 449: 447: 446: 445: 444: 443: 423: 422: 408: 407: 393: 392: 391: 390: 389: 385: 382: 380: 379: 378: 377: 376: 375: 371: 366: 364: 363: 362: 361: 360: 354: 349: 347: 344: 343: 342: 341: 340: 329: 328: 325: 322: 313: 310: 309: 275: 247: 246: 245: 244: 234: 225: 224: 223: 217: 210:You are free: 197: 196: 178: 172: 171: 169: 166: 162: 161: 156: 152: 151: 146: 142: 141: 139:13 August 2011 136: 132: 131: 113: 104: 102: 99: 97: 92: 91: 70: 60: 59: 40: 36: 35: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 811: 798: 795: 794: 792: 788: 785: 784: 782: 778: 775: 774: 772: 768: 765: 763: 760: 759: 757: 756: 755: 749: 745: 742: 734: 728: 722: 717: 711: 709: 706: 704: 701: 699: 698: 692: 687: 681: 679: 676: 674: 671: 668: 667: 663: 660: 657: 654: 651: 649: 648: 646: 640: 611: 591: 575: 541: 521: 504: 488: 468: 452: 426: 418: 411: 403: 396: 369: 352: 292: 291: 286: 282: 281: 276: 269: 268: 253:CC BY-SA 3.0 242: 238: 235: 232: 229: 228: 226: 221: 218: 215: 212: 211: 209: 208: 204: 201: 184: 167: 160: 157: 153: 147: 143: 133: 127: 124: 119: 114: 107: 100: 88: 81: 80: 75: 71: 64: 63: 57: 48: 39: 33: 30: 28: 25: 23: 20: 18: 15: 797:Hàm liên tục 753: 644: 641:File history 288: 278: 236: 230: 219: 213: 125: 117: 87:You can help 77: 45: 22:File history 467:copyrighted 237:share alike 231:attribution 109:Description 735:File usage 712:288 × 177 682:288 × 177 658:Dimensions 610:media type 383:some value 27:File usage 655:Thumbnail 652:Date/Time 625:image/gif 540:inception 168:Licensing 118:English: 53:image/gif 327:Captions 220:to remix 214:to share 205:license. 149:Own work 684:(12 KB) 669:current 664:Comment 368:creator 351:depicts 331:English 101:Summary 49:‎ 714:(8 KB) 155:Author 145:Source 661:User 307:true 304:true 298:GFDL 262:true 259:true 135:Date 17:File 395:URL 428:: 413:: 398:: 293:. 89:.

Index

File
File history
File usage
Global file usage
File:Uniform continuity animation.gif
Uniform_continuity_animation.gif
Wikimedia Commons
description page there
You can help
continuous functions
Jakob.scholbach
Creative Commons
Attribution-Share Alike 3.0 Unported
same or compatible license
GNU Free Documentation License
Free Software Foundation
GNU Free Documentation License
depicts
creator
URL
https://commons.wikimedia.org/user:Jakob.scholbach
Wikimedia username
Jakob.scholbach
author name string
copyright status
copyrighted
copyright license
GNU Free Documentation License, version 1.2 or later
Creative Commons Attribution-ShareAlike 3.0 Unported
inception

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