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570:– 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.
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362:
For details on the embedding of the 3-adic integers, see
Chistyakov, D. V. (1996), “Fractal geometry for images of continuous embeddings of
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Counter-clockwise from the right, the labeled elements are 0, 9, 3, 1, −1/8, −1/2, 1/4, −1/4, 1/2, 1/8, −1, −3, and −9. Open the SVG
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576:– If you remix, transform, or build upon the material, you must distribute your contributions under the
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The following pages on the
English Knowledge use this file (pages on other projects are not listed):
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I, the copyright holder of this work, hereby publish it under the following license:
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269:{\displaystyle \chi _{x}:\mathbb {Z} (3^{\infty })\to \mathbb {R} /\mathbb {Z} }
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Click on a date/time to view the file as it appeared at that time.
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Creative
Commons Attribution-ShareAlike 3.0 Unported
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Commons Attribution-ShareAlike 3.0 Unported
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Commons is a freely licensed media file repository.
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http:\/\/commons.wikimedia.org\/wiki\/User:Melchoir
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1952:Knowledge:Featured picture candidates/March-2012
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360:where 0 = red, 1/3 = green, and 2/3 = blue.
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370:-adic solenoids into Euclidean spaces”, in
41:Size of this PNG preview of this SVG file:
1382:http://commons.wikimedia.org/User:Melchoir
1962:The following other wikis use this file:
1932:Talk:Fermat's Last Theorem/Archive 7
419:{\displaystyle \Upsilon _{s}^{(\infty )}}
349:{\displaystyle \mathbb {R} /\mathbb {Z} }
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134:3-adic integers with dual colorings.svg
200:{\displaystyle x\in \mathbb {Z} _{3}}
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540:Attribution-Share Alike 3.0 Unported
372:Theoretical and Mathematical Physics
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314:{\displaystyle \chi _{x}(q)=xq}
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2105:Knowledge:优良条目/p进数
1937:Talk:P-adic number
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366:-adic numbers and
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1271:
1270:
1269:
1257:
1256:
1253:
1250:
1244:
1243:
950:Lëtzebuergesch
618:
615:
584:
583:
582:
581:
571:
562:
561:
560:
554:
547:You are free:
534:
533:
515:
509:
508:
506:
503:
484:
463:
459:
458:
453:
449:
448:
443:
439:
438:
433:
429:
428:
413:
410:
407:
402:
398:
344:
339:
334:
310:
307:
304:
301:
298:
295:
290:
286:
264:
259:
254:
250:
247:
242:
238:
234:
230:
226:
221:
217:
194:
189:
184:
181:
161:Prüfer 3-group
136:
127:
125:
122:
115:
114:
93:
83:
82:
40:
35:
34:
29:
24:
19:
9:
6:
4:
3:
2:
2119:
2106:
2103:
2101:
2098:
2097:
2095:
2091:
2088:
2087:
2085:
2081:
2080:P-adic number
2078:
2077:
2075:
2071:
2068:
2067:
2065:
2061:
2058:
2057:
2055:
2051:
2048:
2047:
2045:
2041:
2038:
2037:
2035:
2031:
2028:
2027:
2025:
2021:
2018:
2017:
2015:
2011:
2008:
2007:
2005:
2001:
1998:
1996:
1993:
1992:
1990:
1986:
1983:
1981:
1978:
1977:
1975:
1971:
1968:
1967:
1965:
1964:
1963:
1953:
1950:
1948:
1945:
1943:
1942:User:Melchoir
1940:
1938:
1935:
1933:
1930:
1928:
1927:P-adic number
1925:
1923:
1920:
1919:
1905:
1900:
1894:
1892:
1889:
1887:
1884:
1881:
1880:
1876:
1873:
1870:
1867:
1864:
1862:
1861:
1859:
1833:
1821:
1817:
1788:
1776:
1772:
1743:
1731:
1727:
1702:
1695:
1680:
1668:
1664:
1636:image/svg+xml
1634:
1622:
1618:
1598:
1594:
1582:
1578:
1554:
1550:
1538:
1534:
1508:
1496:
1492:
1472:
1468:
1456:
1452:
1428:
1424:
1412:
1408:
1383:
1376:
1368:
1361:
1348:
1333:
1321:
1317:
1280:
1276:
1273:
1254:
1247:
1242:
1239:
1235:
1231:
1226:
1222:
1217:
1213:
1208:
1204:
1199:
1195:
1190:
1186:
1181:
1177:
1172:
1168:
1163:
1159:
1154:
1150:
1145:
1141:
1136:
1132:
1127:
1123:
1118:
1114:
1109:
1105:
1100:
1096:
1091:
1087:
1082:
1078:
1073:
1069:
1064:
1060:
1055:
1051:
1046:
1042:
1037:
1033:
1028:
1024:
1019:
1015:
1010:
1006:
1001:
997:
995:Bahasa Melayu
992:
988:
983:
979:
974:
970:
965:
961:
956:
952:
947:
943:
938:
934:
929:
925:
920:
916:
911:
907:
902:
898:
893:
889:
884:
880:
875:
871:
866:
862:
857:
853:
848:
844:
839:
835:
830:
826:
821:
817:
812:
808:
803:
799:
794:
790:
785:
781:
776:
772:
767:
763:
758:
754:
749:
745:
740:
736:
731:
727:
722:
718:
713:
709:
704:
700:
695:
691:
686:
682:
677:
673:
668:
664:
659:
655:
650:
646:
639:
636:
635:Quality image
632:
631:
625:
624:
623:
622:Quality image
616:
609:
608:
605:
590:CC BY-SA 3.0
579:
575:
572:
569:
566:
565:
563:
558:
555:
552:
549:
548:
546:
545:
541:
538:
521:
499:
495:
488:
479:
474:
467:
457:
454:
450:
444:
440:
430:
400:
385:
379:
369:
365:
361:
359:
337:
324:
308:
305:
302:
296:
288:
284:
276:, defined by
257:
236:
224:
219:
215:
192:
182:
179:
170:
168:
162:
159:
155:
151:
147:
146:compact group
142:
137:
130:
111:
104:
103:
98:
94:
87:
86:
80:
75:
74:Original file
66:
62:
58:
54:
50:
44:
39:
33:
30:
28:
25:
23:
20:
18:
15:
2060:P-adisk tall
1961:
1857:
1854:File history
1233:
1224:
1215:
1206:
1197:
1188:
1179:
1170:
1161:
1152:
1143:
1134:
1125:
1116:
1107:
1098:
1089:
1080:
1071:
1062:
1053:
1044:
1035:
1026:
1017:
1008:
999:
990:
981:
972:
963:
954:
945:
936:
927:
918:
909:
900:
891:
882:
873:
864:
855:
846:
837:
828:
819:
810:
801:
792:
783:
774:
765:
756:
747:
738:
729:
720:
711:
702:
693:
684:
675:
666:
657:
648:
640:
628:
620:
619:
604:
573:
567:
556:
550:
494:vector image
367:
363:
323:circle group
171:
164:
140:
110:You can help
100:
72:
22:File history
1995:عدد پی-ادیک
1427:copyrighted
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475:code is
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1214:
1205:
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1187:
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1169:
1160:
1151:
1142:
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1133:
1124:
1115:
1106:
1097:
1088:
1079:
1070:
1061:
1058:română
1052:
1043:
1034:
1025:
1022:polski
1016:
1007:
998:
989:
980:
977:മലയാളം
971:
962:
953:
944:
935:
926:
917:
908:
899:
890:
881:
872:
869:magyar
863:
854:
851:हिन्दी
845:
836:
833:galego
827:
818:
809:
800:
791:
782:
773:
764:
755:
746:
743:Zazaki
737:
728:
719:
710:
701:
698:català
692:
683:
674:
665:
656:
647:
492:This
490:
469:
452:Author
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1697::
1378::
1363::
1350::
1211:中文
409:∞
397:Υ
285:χ
249:→
241:∞
216:χ
183:∈
63:|
59:|
55:|
51:|
45:.
1234:∙
1225:∙
1216:∙
1207:∙
1198:∙
1189:∙
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1117:∙
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1027:∙
1018:∙
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991:∙
982:∙
973:∙
964:∙
955:∙
946:∙
937:∙
928:∙
919:∙
910:∙
901:∙
892:∙
883:∙
874:∙
865:∙
856:∙
847:∙
838:∙
829:∙
820:∙
811:∙
802:∙
793:∙
784:∙
775:∙
766:∙
757:∙
748:∙
739:∙
730:∙
721:∙
712:∙
703:∙
694:∙
685:∙
676:∙
667:∙
658:∙
649:∙
637:.
500:.
481:.
412:)
406:(
401:s
381::
368:p
364:p
343:Z
338:/
333:R
309:q
306:x
303:=
300:)
297:q
294:(
289:x
263:Z
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253:R
246:)
237:3
233:(
229:Z
225::
220:x
193:3
188:Z
180:x
112:.
67:.
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