166:% Produce a postscript file from this input with tex and dvips. % Loading the XY-Pic package: \input xy \xyoption{all} % Using postscript driver for smoother curves \xyoption{ps} \xyoption{dvips} % No need for page numbers \nopagenumbers \def\coker{\mathop{\rm coker}} $ $ \xymatrix{ %Our diagram is a 2x7 matrix &{}\ker a_2\ar&{}\ker b_2\ar&{}\ker c_2\ar^{d_2}&{}\coker a_2\ar&{}\coker b_2\ar&{}\coker c_2\\ {}\ker a_1\ar\ar&{}\ker b_1\ar\ar&{}\ker c_1\ar^{d_1}\ar&{}\coker a_1\ar\ar&{}\coker b_1\ar\ar&{}\coker c_1\ar } $ $ \end
43:
250:
630:
95:
229:
212:"Both the image and the source code are in the public domain." and "Since I believe that "intellectual property rights" do not exist (as we mere mortals cannot arrogate the right to own parts of Plato's eternal heaven of ideas), every word I write is by default, and always, in the public domain."
911:
881:
240:
205:
758:
722:
1033:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
69:
65:
61:
57:
53:
47:
812:
706:
778:
742:
689:
106:
78:
1010:
910:
905:
1036:
If the file has been modified from its original state, some details may not fully reflect the modified file.
153:
937:
164:
and XY-Pic, using the source code below. Both the image and the source code are in the public domain.
145:
958:
The following pages on the
English Knowledge use this file (pages on other projects are not listed):
929:
114:
891:
637:
149:
990:
933:
880:
875:
42:
101:
157:
1000:
962:
941:
921:
186:
278:% See Descripion for the TeX code. One needs PDF2SVG to generate the SVG image.
176:
1020:
652:, without any conditions, unless such conditions are required by law.
235:
848:
Click on a date/time to view the file as it appeared at that time.
249:
635:
I, the copyright holder of this work, release this work into the
213:
161:
723:
copyrighted, dedicated to the public domain by copyright holder
945:
624:
89:
228:
980:
948:
and XY-Pic, using the source code below. Both the image...
644:
In some countries this may not be legally possible; if so:
255:
This trigonometry was created with an unknown SVG tool.
83:(SVG file, nominally 750 × 125 pixels, file size: 37 KB)
759:
released into the public domain by the copyright holder
673:
Add a one-line explanation of what this file represents
266:
128:
113:
Commons is a freely licensed media file repository.
187:http://en.wikipedia.org/Image:Snake_lemma_nat2.png
94:
8:
270:LaTeX Code to generate the current version
46:Size of this PNG preview of this SVG file:
1038:
850:
669:
648:I grant anyone the right to use this work
604:
973:The following other wikis use this file:
928:{{Information |Description ={{en|1=A
1048:
1040:
960:
826:
810:
792:
776:
756:
740:
720:
704:
687:
684:
665:
658:
898:enlarge the fonts for better display.
629:
7:
839:
1031:
678:
672:
254:
233:
138:
126:
76:
677:
281:% Author: Axel Boldt, Hagman, Ika
663:
628:
248:
227:
93:
31:
21:
660:
139:
14:
659:
26:
1:
36:
685:Items portrayed in this file
368:%Our diagram is a 2x7 matrix
1070:
1017:Usage on zh.wikipedia.org
1007:Usage on uk.wikipedia.org
997:Usage on ja.wikipedia.org
987:Usage on he.wikipedia.org
977:Usage on de.wikipedia.org
840:
641:. This applies worldwide.
284:% Update Date: 11/15/2014
16:
662:
312:amsmath,amssymb,nopageno
275:
100:This is a file from the
927:
897:
876:06:19, 16 November 2014
200:
192:
182:
175:
172:
131:
104:. Information from its
107:description page there
906:22:10, 1 October 2014
219:SVG development
134:Snake lemma nat2.svg
930:commutative diagram
146:commutative diagram
52:Other resolutions:
936:rows, showing the
152:rows, showing the
70:2,560 × 427 pixels
66:1,280 × 213 pixels
62:1,024 × 171 pixels
1057:
1056:
969:Global file usage
951:
743:copyright license
671:
657:
656:
645:
623:
622:
601:
600:
262:
261:
209:
206:Reusing this file
122:
121:
102:Wikimedia Commons
32:Global file usage
1061:
1039:
944:. Produced with
918:
888:
707:copyright status
643:
632:
631:
625:
619:
616:
613:
610:
605:
595:
591:
588:
585:
582:
579:
576:
573:
570:
567:
564:
561:
558:
555:
552:
549:
546:
543:
540:
537:
534:
531:
528:
525:
522:
519:
516:
513:
510:
507:
504:
501:
498:
495:
492:
489:
486:
483:
480:
477:
474:
471:
468:
465:
462:
459:
456:
453:
450:
447:
444:
441:
438:
435:
432:
429:
426:
423:
420:
417:
414:
411:
408:
405:
402:
399:
396:
393:
390:
387:
384:
381:
378:
375:
372:
369:
366:
363:
360:
357:
353:
350:
347:
344:
341:
338:
335:
331:
328:
325:
321:
318:
315:
311:
308:
305:
301:
298:
295:
291:
288:
285:
282:
279:
267:
252:
243:
231:
203:
178:
160:. Produced with
143:
135:
129:
118:
97:
96:
90:
84:
73:
58:640 × 107 pixels
48:750 × 125 pixels
1069:
1068:
1064:
1063:
1062:
1060:
1059:
1058:
1027:
967:
959:
952:
924:
916:
894:
886:
842:
841:
838:
837:
836:
835:
834:
833:
832:
831:
829:
819:
818:
817:
815:
804:
803:
802:
801:
800:
799:
798:
797:
795:
794:29 January 2004
785:
784:
783:
781:
770:
769:
768:
767:
766:
765:
764:
763:
761:
749:
748:
747:
745:
734:
733:
732:
731:
730:
729:
728:
727:
725:
713:
712:
711:
709:
698:
697:
696:
695:
694:
692:
676:
675:
674:
650:for any purpose
617:
614:
611:
608:
597:
596:
593:
589:
586:
583:
580:
577:
574:
571:
568:
565:
562:
559:
556:
553:
550:
547:
544:
541:
538:
535:
532:
529:
526:
523:
520:
517:
514:
511:
508:
505:
502:
499:
496:
493:
490:
487:
484:
481:
478:
475:
472:
469:
466:
463:
460:
457:
454:
451:
448:
445:
442:
439:
436:
433:
430:
427:
424:
421:
418:
415:
412:
409:
406:
403:
400:
397:
394:
391:
388:
385:
382:
379:
376:
373:
370:
367:
364:
361:
358:
355:
351:
348:
345:
342:
339:
336:
333:
329:
326:
323:
319:
316:
313:
309:
306:
303:
299:
296:
293:
289:
286:
283:
280:
277:
263:
258:
257:
256:
246:
245:
239:
222:
177:29 January 2004
168:
167:
133:
124:
123:
112:
111:
110:is shown below.
86:
82:
75:
74:
54:320 × 53 pixels
51:
12:
11:
5:
1067:
1065:
1055:
1054:
1051:
1047:
1046:
1043:
1030:
1026:
1025:
1024:
1023:
1015:
1014:
1013:
1005:
1004:
1003:
995:
994:
993:
985:
984:
983:
981:Schlangenlemma
971:
970:
966:
965:
957:
956:
955:
950:
949:
926:
922:
919:
913:
908:
903:
900:
899:
896:
892:
889:
883:
878:
873:
869:
868:
865:
862:
859:
856:
853:
846:
845:
830:
827:
825:
824:
823:
822:
821:
820:
816:
811:
809:
808:
807:
806:
805:
796:
793:
791:
790:
789:
788:
787:
786:
782:
777:
775:
774:
773:
772:
771:
762:
757:
755:
754:
753:
752:
751:
750:
746:
741:
739:
738:
737:
736:
735:
726:
721:
719:
718:
717:
716:
715:
714:
710:
705:
703:
702:
701:
700:
699:
693:
688:
686:
683:
682:
681:
680:
679:
668:
667:
664:
661:
655:
654:
633:
621:
620:
603:
602:
599:
598:
287:\documentclass
276:
272:
271:
260:
259:
247:
226:
225:
223:
220:
216:
215:
210:
198:
197:
194:
190:
189:
184:
180:
179:
174:
170:
169:
165:
136:
127:
125:
120:
119:
98:
88:
87:
45:
41:
40:
39:
34:
29:
24:
19:
13:
10:
9:
6:
4:
3:
2:
1066:
1052:
1049:
1044:
1041:
1037:
1034:
1028:
1022:
1019:
1018:
1016:
1012:
1011:Лема про змію
1009:
1008:
1006:
1002:
999:
998:
996:
992:
989:
988:
986:
982:
979:
978:
976:
975:
974:
968:
964:
961:
953:
947:
943:
939:
935:
931:
925:
920:
914:
912:
909:
907:
904:
902:
901:
895:
890:
884:
882:
879:
877:
874:
871:
870:
866:
863:
860:
857:
854:
852:
851:
849:
843:
828:image/svg+xml
814:
780:
760:
744:
724:
708:
691:
653:
651:
646:
642:
640:
639:
638:public domain
634:
627:
626:
612:Public domain
609:Public domain
607:
606:
274:
273:
269:
268:
265:
264:
251:
242:
237:
230:
224:
218:
217:
214:
211:
207:
202:
199:
195:
191:
188:
185:
181:
171:
163:
159:
155:
151:
147:
142:
137:
130:
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:
1035:
1032:
972:
893:IkamusumeFan
847:
844:File history
649:
647:
636:
140:
115:You can help
105:
77:
22:File history
963:Snake lemma
942:snake lemma
317:\usepackage
307:\usepackage
297:\usepackage
158:snake lemma
132:Description
954:File usage
938:naturality
885:750 × 125
861:Dimensions
813:media type
340:\def\coker
201:Permission
196:Axel Boldt
154:naturality
27:File usage
915:495 × 64
858:Thumbnail
855:Date/Time
779:inception
362:\xymatrix
221:InfoField
141:English:
1029:Metadata
991:למת הנחש
666:Captions
592:document
422:}&{}
332:document
302:geometry
238:code is
37:Metadata
940:of the
917:(58 KB)
887:(37 KB)
872:current
867:Comment
690:depicts
670:English
566:&{}
548:&{}
530:&{}
503:&{}
485:&{}
452:&{}
437:&{}
401:&{}
386:&{}
371:&{}
346:\mathop
156:of the
81:
1050:Height
923:Hagman
569:\coker
551:\coker
533:\coker
455:\coker
440:\coker
425:\coker
327:\begin
292:amsart
253:
232:
193:Author
183:Source
1053:100pt
1045:600pt
1042:Width
934:exact
932:with
618:false
615:false
354:coker
337:\Huge
241:valid
150:exact
148:with
1001:蛇の補題
864:User
587:\end
518:_{d_
506:\ker
488:\ker
470:\ker
416:^{d_
404:\ker
389:\ker
374:\ker
234:The
173:Date
17:File
1021:蛇引理
946:TeX
578:\ar
563:\ar
560:\ar
545:\ar
542:\ar
527:\ar
515:\ar
500:\ar
497:\ar
482:\ar
479:\ar
449:\ar
434:\ar
413:\ar
398:\ar
383:\ar
352:\rm
236:SVG
162:TeX
584:\]
572:c_
554:b_
536:a_
509:c_
491:b_
473:a_
467:{}
464:\\
458:c_
443:b_
428:a_
407:c_
392:b_
377:a_
365:{
359:\[
356:}}
322:xy
144:A
68:|
64:|
60:|
56:|
50:.
594:}
590:{
581:}
575:1
557:1
539:1
524:}
521:1
512:1
494:1
476:1
461:2
446:2
431:2
419:2
410:2
395:2
380:2
349:{
343:{
334:}
330:{
324:}
320:{
314:}
310:{
304:}
300:{
294:}
290:{
244:.
208:)
204:(
117:.
72:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.