808:
43:
814:
819:
95:
1202:
860:– 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.
1271:
1286:
69:
65:
61:
57:
53:
47:
1113:
1077:
1041:
1309:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
1276:
867:
106:
78:
1097:
1025:
999:
984:
969:
1133:
1061:
942:
925:
991:
829:
1312:
If the file has been modified from its original state, some details may not fully reflect the modified file.
866:– If you remix, transform, or build upon the material, you must distribute your contributions under the
1233:
826:
1212:
114:
976:
1201:
1196:
42:
101:
801:
I, the copyright holder of this work, hereby publish it under the following license:
1296:
785:
765:
1169:
Click on a date/time to view the file as it appeared at that time.
1261:
1251:
89:
270:# will draw lines perpendicular to the graph of Y=f(X) at
1078:
Creative
Commons Attribution-ShareAlike 4.0 International
83:(SVG file, nominally 705 × 286 pixels, file size: 10 KB)
909:
Add a one-line explanation of what this file represents
133:
113:
Commons is a freely licensed media file repository.
877:https://creativecommons.org/licenses/by-sa/4.0
94:
883:Creative Commons Attribution-Share Alike 4.0
807:
8:
237:# length of lines perpendicular to the curve
977:https://commons.wikimedia.org/user:Kilom691
843:– to copy, distribute and transmit the work
46:Size of this PNG preview of this SVG file:
1314:
1171:
905:
149:Voisinage tubulaire de la courbe y=sin(x)
1244:The following other wikis use this file:
830:Attribution-Share Alike 4.0 International
483:# the normal to the curve at (X(p), Y(p))
273:# points separted by length of 'spacing'
1324:
1316:
1231:
1147:
1131:
1111:
1095:
1075:
1059:
1039:
1023:
956:
940:
923:
920:
901:
894:
7:
213:# consider N points in the interval
1229:The following page uses this file:
1219:User created page with UploadWizard
1160:
818:
813:
1307:
914:
908:
804:
800:
143:
126:
76:
913:
899:
854:Under the following conditions:
825:This file is licensed under the
817:
812:
806:
93:
31:
21:
896:
14:
895:
144:
26:
1:
1114:original creation by uploader
36:
921:Items portrayed in this file
1346:
1293:Usage on zh.wikipedia.org
1283:Usage on uk.wikipedia.org
1268:Usage on ru.wikipedia.org
1258:Usage on fr.wikipedia.org
1248:Usage on de.wikipedia.org
868:same or compatible license
1161:
775:
16:
898:
834:
150:
100:This is a file from the
1218:
781:
771:
764:
761:
139:Voisinage tubulaire.svg
136:
104:. Information from its
1197:19:12, 15 October 2015
249:# smaller subsegments
107:description page there
1272:Трубчатая окрестность
1234:Tubular neighborhood
70:2,560 × 1,039 pixels
1262:Voisinage tubulaire
849:– to adapt the work
52:Other resolutions:
1000:author name string
985:Wikimedia username
66:1,280 × 519 pixels
62:1,024 × 415 pixels
1333:
1332:
1252:Tubulare Umgebung
1240:Global file usage
1222:
1062:copyright license
907:
791:
790:
122:
121:
102:Wikimedia Commons
32:Global file usage
1337:
1315:
1209:
1026:copyright status
1007:
1004:
994:
989:
979:
974:
890:
887:
884:
881:
878:
870:as the original.
827:Creative Commons
821:
820:
816:
815:
810:
809:
777:
767:
754:
751:
748:
745:
742:
739:
738:set_aspect_ratio
736:
733:
730:
727:
724:
721:
718:
715:
712:
709:
706:
703:
700:
697:
694:
691:
688:
685:
682:
679:
676:
673:
670:
667:
664:
661:
658:
657:# plot the curve
655:
652:
649:
646:
643:
640:
637:
634:
631:
628:
625:
622:
619:
616:
613:
610:
607:
604:
601:
598:
595:
592:
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:
396:# plot the lines
394:
391:
388:
385:
382:
379:
376:
373:
370:
367:
364:
361:
358:
355:
352:
349:
346:
343:
340:
337:
334:
331:
328:
325:
322:
319:
316:
313:
310:
307:
304:
301:
298:
295:
292:
289:
286:
283:
280:
277:
274:
271:
268:
265:
262:
259:
256:
253:
250:
247:
244:
241:
238:
235:
232:
229:
226:
223:
220:
217:
214:
211:
208:
205:
202:
199:
196:
193:
190:
187:
184:
181:
178:
175:
172:
169:
166:
163:
160:
157:
154:
148:
146:Français :
140:
134:
118:
97:
96:
90:
84:
73:
58:640 × 260 pixels
54:320 × 130 pixels
48:705 × 286 pixels
1345:
1344:
1340:
1339:
1338:
1336:
1335:
1334:
1303:
1287:Трубчастий окіл
1238:
1223:
1215:
1207:
1163:
1162:
1159:
1158:
1157:
1156:
1155:
1154:
1153:
1152:
1150:
1149:15 October 2015
1140:
1139:
1138:
1136:
1125:
1124:
1123:
1122:
1121:
1120:
1119:
1118:
1116:
1104:
1103:
1102:
1100:
1089:
1088:
1087:
1086:
1085:
1084:
1083:
1082:
1080:
1068:
1067:
1066:
1064:
1053:
1052:
1051:
1050:
1049:
1048:
1047:
1046:
1044:
1032:
1031:
1030:
1028:
1017:
1016:
1015:
1014:
1013:
1012:
1011:
1010:
1009:
1008:
1005:
1002:
996:
995:
990:
987:
981:
980:
975:
972:
963:
962:
961:
959:
949:
948:
947:
945:
934:
933:
932:
931:
930:
928:
912:
911:
910:
893:
892:
891:
888:
885:
882:
879:
876:
875:
833:
822:
803:
802:
797:
792:
766:15 October 2015
757:
756:
755:
752:
749:
746:
743:
740:
737:
734:
731:
728:
725:
722:
719:
716:
713:
710:
707:
704:
701:
698:
695:
692:
689:
686:
683:
680:
677:
674:
671:
668:
665:
662:
659:
656:
653:
650:
647:
644:
641:
638:
635:
632:
629:
626:
623:
620:
617:
614:
611:
608:
605:
602:
599:
596:
593:
590:
587:
584:
581:
578:
575:
572:
569:
566:
563:
560:
557:
554:
551:
548:
545:
542:
539:
536:
533:
530:
527:
524:
521:
518:
515:
512:
509:
506:
503:
500:
497:
494:
491:
488:
485:
482:
479:
476:
473:
470:
467:
464:
461:
458:
455:
452:
449:
446:
443:
440:
437:
434:
431:
428:
425:
422:
419:
416:
413:
410:
407:
404:
401:
398:
395:
392:
389:
386:
383:
380:
377:
374:
371:
368:
365:
362:
359:
356:
353:
350:
347:
344:
341:
338:
335:
332:
329:
326:
323:
320:
317:
314:
311:
308:
305:
302:
299:
296:
293:
290:
287:
284:
281:
278:
275:
272:
269:
266:
263:
260:
257:
254:
251:
248:
245:
242:
239:
236:
233:
230:
227:
224:
221:
218:
215:
212:
209:
206:
203:
200:
197:
194:
191:
188:
185:
182:
179:
176:
173:
170:
167:
164:
161:
158:
155:
152:
138:
131:
124:
123:
112:
111:
110:is shown below.
86:
82:
75:
74:
51:
12:
11:
5:
1343:
1341:
1331:
1330:
1327:
1323:
1322:
1319:
1306:
1302:
1301:
1300:
1299:
1291:
1290:
1289:
1281:
1280:
1279:
1277:Формула трубки
1274:
1266:
1265:
1264:
1256:
1255:
1254:
1242:
1241:
1237:
1236:
1227:
1226:
1221:
1220:
1217:
1213:
1210:
1204:
1199:
1194:
1190:
1189:
1186:
1183:
1180:
1177:
1174:
1167:
1166:
1151:
1148:
1146:
1145:
1144:
1143:
1142:
1141:
1137:
1132:
1130:
1129:
1128:
1127:
1126:
1117:
1112:
1110:
1109:
1108:
1107:
1106:
1105:
1101:
1098:source of file
1096:
1094:
1093:
1092:
1091:
1090:
1081:
1076:
1074:
1073:
1072:
1071:
1070:
1069:
1065:
1060:
1058:
1057:
1056:
1055:
1054:
1045:
1040:
1038:
1037:
1036:
1035:
1034:
1033:
1029:
1024:
1022:
1021:
1020:
1019:
1018:
998:
997:
983:
982:
968:
967:
966:
965:
964:
960:
957:
955:
954:
953:
952:
951:
950:
946:
941:
939:
938:
937:
936:
935:
929:
924:
922:
919:
918:
917:
916:
915:
904:
903:
900:
897:
874:
873:
872:
871:
861:
852:
851:
850:
844:
837:You are free:
824:
823:
805:
799:
798:
796:
793:
789:
788:
783:
779:
778:
773:
769:
768:
763:
759:
758:
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:
1342:
1328:
1325:
1320:
1317:
1313:
1310:
1304:
1298:
1295:
1294:
1292:
1288:
1285:
1284:
1282:
1278:
1275:
1273:
1270:
1269:
1267:
1263:
1260:
1259:
1257:
1253:
1250:
1249:
1247:
1246:
1245:
1239:
1235:
1232:
1230:
1224:
1216:
1211:
1205:
1203:
1200:
1198:
1195:
1192:
1191:
1187:
1184:
1181:
1178:
1175:
1173:
1172:
1170:
1164:
1135:
1115:
1099:
1079:
1063:
1043:
1027:
1001:
993:
986:
978:
971:
944:
927:
880:CC BY-SA 4.0
869:
865:
862:
859:
856:
855:
853:
848:
845:
842:
839:
838:
836:
835:
831:
828:
811:
794:
787:
784:
780:
774:
770:
760:
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:
1311:
1308:
1243:
1228:
1168:
1165:File history
863:
857:
846:
840:
145:
115:You can help
105:
77:
22:File history
1042:copyrighted
864:share alike
858:attribution
137:Description
1225:File usage
1206:705 × 286
1182:Dimensions
958:some value
696:thick_line
651:thick_line
261:thick_line
27:File usage
1179:Thumbnail
1176:Date/Time
1134:inception
795:Licensing
690:thickness
639:thickness
252:thin_line
1305:Metadata
1214:Kilom691
1006:Kilom691
992:Kilom691
902:Captions
847:to remix
841:to share
832:license.
786:Kilom691
776:Own work
390:Graphics
309:# colors
37:Metadata
1208:(10 KB)
1193:current
1188:Comment
943:creator
926:depicts
906:English
297:spacing
276:spacing
129:Summary
81:
1326:Height
782:Author
772:Source
750:return
666:line2d
621:Normal
603:Normal
582:Normal
564:Normal
537:Normal
525:Normal
519:Normal
492:vector
486:Normal
363:vector
330:vector
1329:229pt
1321:564pt
1318:Width
726:False
702:color
627:color
480:break
471:>=
408:range
351:green
291:floor
282:0.015
1297:管状邻域
1185:User
889:true
886:true
762:Date
720:axes
708:blue
549:line
531:norm
357:list
324:list
318:blue
210:1000
156:main
17:File
970:URL
672:zip
645:0.7
633:red
624:)],
615:lls
597:lls
576:lls
558:lls
399:for
378:256
345:256
312:red
246:0.3
240:lls
168:sin
159:():
153:def
1003::
988::
973::
687:),
663:+=
585:),
546:+=
516:])
504:),
465:if
429:):
405:in
393:()
381:))
372:QQ
366:()
348:))
339:QQ
333:()
228:ll
201:pi
68:|
64:|
60:|
56:|
50:.
753:G
747:)
744:1
741:(
735:.
732:G
729:)
723:(
717:.
714:G
711:)
705:=
699:,
693:=
684:Y
681:,
678:X
675:(
669:(
660:G
654:)
648:*
642:=
636:,
630:=
618:*
612:+
609:Y
606:,
600:*
594:+
591:X
588:(
579:*
573:-
570:Y
567:,
561:*
555:-
552:(
543:G
540:)
534:(
528:/
522:=
513:X
510:-
507:X
501:Y
498:-
495:(
489:=
477::
474:N
468:p
462:2
459:+
456:M
453:*
450:)
447:1
444:-
441:k
438:(
435:=
432:p
426:1
423:+
420:N
417:,
414:1
411:(
402:k
387:=
384:G
375:(
369:/
360:(
354:=
342:(
336:/
327:(
321:=
315:=
306:)
303:N
300:*
294:(
288:=
285:M
279:=
267:4
264:=
258:2
255:=
243:=
234:3
231:=
225:=
222:Y
219:=
216:X
207:=
204:N
198:*
195:2
192:=
189:b
186:0
183:=
180:a
177:)
174:x
171:(
165:=
162:f
117:.
72:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
