Knowledge (XXG)

File:ModularGroup-FundamentalDomain.svg

Source 📝

43: 278: 284: 289: 245: 230: 95: 209: 617: 678: 648: 587: 634:
Changed polylines to paths with relative coordinates, remove most ineffective clipPaths, group some reused styles. This file could be massively optimized by changing the paths into actual circles but that would require a complete
777: 330:– 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. 220: 937: 767: 69: 65: 61: 57: 53: 47: 106: 78: 169: 932: 922: 1037: 912: 464: 428: 842: 677: 672: 647: 642: 616: 611: 1070:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
337: 518: 412: 862: 852: 719: 484: 448: 395: 299: 857: 847: 1073:
If the file has been modified from its original state, some details may not fully reflect the modified file.
942: 705:
The following pages on the English Knowledge (XXG) use this file (pages on other projects are not listed):
709: 597: 336:– If you remix, transform, or build upon the material, you must distribute your contributions under the 296: 917: 586: 581: 42: 987: 688: 658: 714: 114: 254: 236: 627: 827: 1057: 729: 191: 739: 734: 101: 977: 271:
I, the copyright holder of this work, hereby publish it under the following license:
997: 832: 724: 149:
Fundamental domain for the modular group on the upper half plane, vector version
962: 183: 158: 817: 892: 787: 982: 744: 1017: 887: 215: 843:
Gitter/Komplexe Zahlen/Streckungsäquivalent/Einführung/Textabschnitt
863:
Kurs:Funktionentheorie (Osnabrück 2023-2024)/Vorlesung 26/kontrolle
853:
Kurs:Elliptische Kurven (Osnabrück 2021-2022)/Vorlesung 9/kontrolle
554:
Click on a date/time to view the file as it appeared at that time.
253:
Data created with GAP, plotted with Maple, then minor cleanup in
244: 1027: 902: 877: 812: 229: 89: 897: 208: 952: 749: 1012: 872: 822: 967: 858:
Kurs:Funktionentheorie (Osnabrück 2023-2024)/Vorlesung 26
848:
Kurs:Elliptische Kurven (Osnabrück 2021-2022)/Vorlesung 9
465:
Creative Commons Attribution-ShareAlike 4.0 International
83:(SVG file, nominally 401 × 181 pixels, file size: 281 KB) 792: 807: 379:
Add a one-line explanation of what this file represents
802: 1047: 133: 113:
Commons is a freely licensed media file repository.
1007: 828:Spezielle Werte der Riemannschen Zeta-Funktion 347:https://creativecommons.org/licenses/by-sa/4.0 94: 353:Creative Commons Attribution-Share Alike 4.0 277: 8: 313:– to copy, distribute and transmit the work 46:Size of this PNG preview of this SVG file: 1075: 556: 375: 760:The following other wikis use this file: 300:Attribution-Share Alike 4.0 International 1085: 1077: 707: 532: 516: 498: 482: 462: 446: 426: 410: 393: 390: 371: 364: 170:ModularGroup-FundamentalDomain-01.png 7: 833:Benutzer:Googolplexian1221/Modulform 235:This trigonometry was created with 695:User created page with UploadWizard 545: 288: 283: 1068: 963:Utente:Stets Fabbrusi/Invariante j 384: 378: 274: 270: 249: 234: 213: 143: 139:ModularGroup-FundamentalDomain.svg 126: 76: 938:Մասնակից:Gohar Piloyan/Ավազարկղ52 818:Satz von Borel und Harish-Chandra 383: 369: 324:Under the following conditions: 295:This file is licensed under the 287: 282: 276: 243: 228: 207: 93: 31: 21: 366: 144: 14: 365: 26: 1: 36: 839:Usage on de.wikiversity.org 391:Items portrayed in this file 720:Fundamental pair of periods 1107: 1054:Usage on zh.wikipedia.org 1044:Usage on www.wikidata.org 1034:Usage on ru.wikipedia.org 1024:Usage on ro.wikipedia.org 1004:Usage on pt.wikipedia.org 994:Usage on ko.wikipedia.org 974:Usage on ja.wikipedia.org 959:Usage on it.wikipedia.org 949:Usage on id.wikipedia.org 929:Usage on hy.wikipedia.org 909:Usage on he.wikipedia.org 884:Usage on fr.wikipedia.org 869:Usage on es.wikipedia.org 799:Usage on de.wikipedia.org 784:Usage on ca.wikipedia.org 774:Usage on bn.wikipedia.org 764:Usage on as.wikipedia.org 338:same or compatible license 788:Teoria de cordes bosònica 546: 16: 368: 304: 100:This is a file from the 694: 664: 633: 603: 250:and with GAP&Maple. 175: 164: 157: 154: 136: 104:. Information from its 893:Géométrie hyperbolique 778:বোসনীয় স্ট্রিং তত্ত্ব 665:Corrected missing line 612:02:29, 12 January 2022 604:added white background 107:description page there 710:Bosonic string theory 1018:Usuário:Juan90264/Pi 199:SVG development 70:2,560 × 1,156 pixels 1028:Domeniu fundamental 903:Domaine fondamental 888:Théorie des nombres 878:Dominio fundamental 673:18:53, 15 June 2017 643:19:12, 15 June 2017 319:– to adapt the work 168:Own work based on: 52:Other resolutions: 715:Fundamental domain 582:16:10, 6 June 2022 66:1,280 × 578 pixels 62:1,024 × 462 pixels 1094: 1093: 813:Quadratische Form 756:Global file usage 698: 449:copyright license 377: 261: 260: 237:Adobe Illustrator 122: 121: 102:Wikimedia Commons 32:Global file usage 1098: 1076: 1038:Решётка в группе 933:Թվերի տեսություն 923:החבורה המודולרית 913:קרל פרידריך גאוס 898:Groupe modulaire 685: 655: 624: 594: 413:copyright status 360: 357: 354: 351: 348: 340:as the original. 297:Creative Commons 291: 290: 286: 285: 280: 279: 247: 232: 223: 211: 192:Alexander Hulpke 160: 148: 140: 134: 118: 97: 96: 90: 84: 73: 58:640 × 289 pixels 54:320 × 144 pixels 48:401 × 181 pixels 1106: 1105: 1101: 1100: 1099: 1097: 1096: 1095: 1064: 754: 730:Lattice (group) 706: 699: 691: 683: 661: 653: 630: 622: 600: 592: 548: 547: 544: 543: 542: 541: 540: 539: 538: 537: 535: 525: 524: 523: 521: 510: 509: 508: 507: 506: 505: 504: 503: 501: 491: 490: 489: 487: 476: 475: 474: 473: 472: 471: 470: 469: 467: 455: 454: 453: 451: 440: 439: 438: 437: 436: 435: 434: 433: 431: 419: 418: 417: 415: 404: 403: 402: 401: 400: 398: 382: 381: 380: 363: 362: 361: 358: 355: 352: 349: 346: 345: 303: 292: 273: 272: 267: 262: 257: 252: 251: 241: 240: 226: 225: 219: 202: 194: 189: 186: 181: 150: 138: 131: 124: 123: 112: 111: 110:is shown below. 86: 82: 75: 74: 51: 12: 11: 5: 1104: 1102: 1092: 1091: 1088: 1084: 1083: 1080: 1067: 1063: 1062: 1061: 1060: 1052: 1051: 1050: 1042: 1041: 1040: 1032: 1031: 1030: 1022: 1021: 1020: 1015: 1010: 1002: 1001: 1000: 992: 991: 990: 985: 980: 972: 971: 970: 965: 957: 956: 955: 953:Teori bilangan 947: 946: 945: 940: 935: 927: 926: 925: 920: 915: 907: 906: 905: 900: 895: 890: 882: 881: 880: 875: 867: 866: 865: 860: 855: 850: 845: 837: 836: 835: 830: 825: 820: 815: 810: 805: 797: 796: 795: 790: 782: 781: 780: 772: 771: 770: 758: 757: 753: 752: 747: 742: 737: 732: 727: 722: 717: 712: 704: 703: 702: 697: 696: 693: 689: 686: 680: 675: 670: 667: 666: 663: 659: 656: 650: 645: 640: 637: 636: 632: 628: 625: 619: 614: 609: 606: 605: 602: 598: 595: 589: 584: 579: 575: 574: 571: 568: 565: 562: 559: 552: 551: 536: 533: 531: 530: 529: 528: 527: 526: 522: 517: 515: 514: 513: 512: 511: 502: 499: 497: 496: 495: 494: 493: 492: 488: 483: 481: 480: 479: 478: 477: 468: 463: 461: 460: 459: 458: 457: 456: 452: 447: 445: 444: 443: 442: 441: 432: 427: 425: 424: 423: 422: 421: 420: 416: 411: 409: 408: 407: 406: 405: 399: 394: 392: 389: 388: 387: 386: 385: 374: 373: 370: 367: 344: 343: 342: 341: 331: 322: 321: 320: 314: 307:You are free: 294: 293: 275: 269: 268: 266: 263: 259: 258: 242: 227: 206: 205: 203: 200: 196: 195: 190: 187: 182: 179: 177: 173: 172: 166: 162: 161: 156: 152: 151: 141: 132: 130: 127: 125: 120: 119: 98: 88: 87: 45: 41: 40: 39: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 1103: 1089: 1086: 1081: 1078: 1074: 1071: 1065: 1059: 1056: 1055: 1053: 1049: 1046: 1045: 1043: 1039: 1036: 1035: 1033: 1029: 1026: 1025: 1023: 1019: 1016: 1014: 1013:Grupo modular 1011: 1009: 1006: 1005: 1003: 999: 996: 995: 993: 989: 986: 984: 981: 979: 976: 975: 973: 969: 966: 964: 961: 960: 958: 954: 951: 950: 948: 944: 941: 939: 936: 934: 931: 930: 928: 924: 921: 919: 916: 914: 911: 910: 908: 904: 901: 899: 896: 894: 891: 889: 886: 885: 883: 879: 876: 874: 873:Grupo modular 871: 870: 868: 864: 861: 859: 856: 854: 851: 849: 846: 844: 841: 840: 838: 834: 831: 829: 826: 824: 823:Heegner-Punkt 821: 819: 816: 814: 811: 809: 806: 804: 801: 800: 798: 794: 791: 789: 786: 785: 783: 779: 776: 775: 773: 769: 766: 765: 763: 762: 761: 755: 751: 748: 746: 743: 741: 740:Number theory 738: 736: 735:Modular group 733: 731: 728: 726: 723: 721: 718: 716: 713: 711: 708: 700: 692: 687: 681: 679: 676: 674: 671: 669: 668: 662: 657: 651: 649: 646: 644: 641: 639: 638: 631: 626: 620: 618: 615: 613: 610: 608: 607: 601: 599:Colt browning 596: 590: 588: 585: 583: 580: 577: 576: 572: 569: 566: 563: 560: 558: 557: 555: 549: 534:image/svg+xml 520: 486: 466: 450: 430: 414: 397: 350:CC BY-SA 4.0 339: 335: 332: 329: 326: 325: 323: 318: 315: 312: 309: 308: 306: 305: 301: 298: 281: 264: 256: 246: 238: 231: 222: 217: 210: 204: 198: 197: 193: 185: 178: 174: 171: 167: 163: 153: 147: 142: 135: 128: 116: 109: 108: 103: 99: 92: 91: 85: 80: 79:Original file 71: 67: 63: 59: 55: 49: 44: 38: 35: 33: 30: 28: 25: 23: 20: 18: 15: 1072: 1069: 968:Invariante j 768:সংখ্যাতত্ত্ব 759: 553: 550:File history 500:15 June 2017 333: 327: 316: 310: 159:15 June 2017 145: 115:You can help 105: 77: 22:File history 943:Մեկ երկրորդ 793:J-invariant 725:J-invariant 629:SemperVinco 429:copyrighted 334:share alike 328:attribution 255:Illustrator 137:Description 918:תחום יסודי 808:J-Funktion 701:File usage 682:390 × 183 652:401 × 181 621:401 × 181 591:401 × 181 567:Dimensions 519:media type 27:File usage 803:Modulform 564:Thumbnail 561:Date/Time 485:inception 265:Licensing 201:InfoField 180:Original: 146:English: 1066:Metadata 1048:Q1474108 745:One half 684:(685 KB) 654:(686 KB) 623:(281 KB) 593:(281 KB) 372:Captions 317:to remix 311:to share 302:license. 218:code is 188:Vector: 184:Kilom691 37:Metadata 978:格子 (数学) 690:Ahulpke 660:Ahulpke 635:remake. 578:current 573:Comment 396:depicts 376:English 129:Summary 81:‎ 1087:Height 988:モジュラー群 248:  233:  212:  176:Author 165:Source 1090:181px 1082:401px 1079:Width 1058:玻色弦理論 998:기본 영역 983:J-不変量 221:valid 570:User 359:true 356:true 214:The 155:Date 17:File 216:SVG 1008:Pi 750:Pi 68:| 64:| 60:| 56:| 50:. 239:. 224:. 117:. 72:.

Index

File
File history
File usage
Global file usage
Metadata
File:ModularGroup-FundamentalDomain.svg
401 × 181 pixels
320 × 144 pixels
640 × 289 pixels
1,024 × 462 pixels
1,280 × 578 pixels
2,560 × 1,156 pixels
Original file
Wikimedia Commons
description page there
You can help
ModularGroup-FundamentalDomain-01.png
Kilom691
Alexander Hulpke

SVG
valid

Adobe Illustrator

Illustrator
Creative Commons
Attribution-Share Alike 4.0 International
same or compatible license
depicts

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