323:\TeXtoEPS \psset{linecolor=black,linewidth=1pt,arrowsize=8pt} \psset{unit=2cm,linewidth=.8pt} \pspicture*(-1.1,-.2)(3.6,2.2) \psline{->}(0,0)(3,1) % u1 \psline{->}(0,0)(2,2) % v2 \psline{->}(0,0)(2.4,.8) % proj u1 v2 \psline{->}(0,0)(-.4,1.2) % u2 \psline{->}(0,0)(.9486832980,.3162277660) % e1 \psline{->}(0,0)(-.3162277660,.9486832980) % e2 \psset{linestyle=dashed,dashadjust=false,linewidth=.5pt} \psline(2,2)(2.4,.8) \psline(2,2)(-.4,1.2) \uput{6pt}(3,1){\psscalebox{1.6}{$ {\bf u}_1$ }} \uput{4pt}(3,1){\psscalebox{1.6}{$ {\bf v}_1$ }} \uput{6pt}(2,2){\psscalebox{1.6}{$ {\bf v}_2$ }} \uput{12pt}(2.4,.8){\psscalebox{1.2}{$ {\rm proj}_{{\bf u}_1}{\bf v}_2$ }} \uput{6pt}(-.4,1.2){\psscalebox{1.6}{$ {\bf u}_2$ }} \uput{10pt}(.9486832980,.3162277660){\psscalebox{1.6}{$ {\bf e}_1$ }} \uput{6pt}(-.3162277660,.9486832980){\psscalebox{1.6}{$ {\bf e}_2$ }} \endpspicture \endTeXtoEPS \nopagenumbers \end
38:
273:
90:
827:
566:
857:
672:
64:
60:
56:
614:
52:
48:
42:
101:
73:
477:
441:
702:
425:
497:
461:
408:
205:
609:
584:
752:
605:
The following pages on the
English Knowledge (XXG) use this file (pages on other projects are not listed):
619:
682:
647:
565:
560:
37:
109:
280:
657:
887:
308:
867:
96:
722:
588:
576:
224:
No machine-readable source provided. Own work assumed (based on copyright claims).
742:
787:
847:
233:
807:
637:
335:$ tex Gram-Schmidt_process.tex && dvips -E Gram-Schmidt_process.dvi
312:
797:
772:
732:
592:
123:
692:
342:$ eps2eps -dNOCACHE Gram-Schmidt_process.ps Gram-Schmidt_process2.eps
782:
372:
295:, without any conditions, unless such conditions are required by law.
712:
533:
Click on a date/time to view the file as it appeared at that time.
356:$ pstoedit -f sk Gram-Schmidt_process.eps Gram-Schmidt_process.sk
129:
817:
278:
I, the copyright holder of this work, release this work into the
122:
877:
837:
762:
442:
copyrighted, dedicated to the public domain by copyright holder
165:
267:
84:
363:$ skconvert Gram-Schmidt_process.sk Gram-Schmidt_process.svg
349:$ ps2epsi Gram-Schmidt_process2.eps Gram-Schmidt_process.eps
662:
287:
In some countries this may not be legally possible; if so:
587:. == Licensing == {{PD-self}} == Source == Created by
78:(SVG file, nominally 350 × 180 pixels, file size: 17 KB)
478:
released into the public domain by the copyright holder
392:
Add a one-line explanation of what this file represents
194:
108:
Commons is a freely licensed media file repository.
595:. === Gram–Schmidt process.tex (PSTricks source)
648:Procés d'ortogonalització de Gram-Schmidt
89:
8:
658:Proceso de ortogonalización de Gram-Schmidt
41:Size of this PNG preview of this SVG file:
683:Gramin–Schmidtin ortogonalisoimismenetelmä
535:
388:
319:Gram–Schmidt process.tex (PSTricks source)
291:I grant anyone the right to use this work
247:
170:Gram–Schmidt process.tex (PSTricks source)
630:The following other wikis use this file:
607:
511:
495:
475:
459:
439:
423:
406:
403:
384:
377:
828:Грам—Шмитов поступак ортонормализације
272:
232:No machine-readable author provided.
7:
236:assumed (based on copyright claims).
615:Talk:Gram–Schmidt process/Archive 1
524:
216:7 March 2006 (original upload date)
743:Ortogonalizzazione di Gram-Schmidt
397:
391:
124:
121:
71:
396:
175:
382:
271:
88:
31:
21:
379:
14:
884:Usage on zh-yue.wikipedia.org
773:Ortogonalizacja Grama-Schmidta
378:
145:
26:
1:
788:Usuário(a):Horadrim/Testes16
404:Items portrayed in this file
135:
874:Usage on vi.wiktionary.org
155:
906:
864:Usage on vi.wikipedia.org
854:Usage on uk.wikipedia.org
844:Usage on tr.wikipedia.org
834:Usage on sv.wikibooks.org
824:Usage on sr.wikipedia.org
814:Usage on sq.wikipedia.org
804:Usage on sh.wikipedia.org
794:Usage on ro.wikipedia.org
779:Usage on pt.wikipedia.org
769:Usage on pl.wikipedia.org
759:Usage on nl.wikipedia.org
749:Usage on ko.wikipedia.org
739:Usage on it.wikipedia.org
729:Usage on is.wikipedia.org
719:Usage on hu.wikipedia.org
709:Usage on hr.wikipedia.org
699:Usage on he.wikipedia.org
693:Algorithme de Gram-Schmidt
689:Usage on fr.wikipedia.org
679:Usage on fi.wikipedia.org
669:Usage on fa.wikipedia.org
654:Usage on es.wikipedia.org
644:Usage on ca.wikipedia.org
634:Usage on bs.wikipedia.org
525:
284:. This applies worldwide.
16:
783:Processo de Gram-Schmidt
733:Gram-Schmidt reikniritið
381:
369:Gram-Schmidt_process.svg
200:Gram–Schmidt process.svg
95:This is a file from the
808:Gram–Schmidtov postupak
713:Gram-Schmidtov postupak
638:Gram–Schmidtov postupak
583:== Summary == Steps in
582:
228:
220:
215:
212:
197:
99:. Information from its
868:Quá trình Gram–Schmidt
798:Procedeul Gram–Schmidt
102:description page there
858:Процес Грама — Шмідта
818:Procedura Gram-Shmit
723:Gram–Schmidt-eljárás
620:User:Gustavb/Gallery
610:Gram–Schmidt process
585:Gram–Schmidt process
206:Gram–Schmidt process
65:2,560 × 1,317 pixels
848:Gram–Schmidt işlemi
763:Gram-schmidtmethode
673:الگوریتم گرام اشمیت
561:02:47, 7 March 2006
47:Other resolutions:
878:orthonormalization
353:Convert to Sketch
61:1,280 × 658 pixels
57:1,024 × 527 pixels
626:Global file usage
598:
462:copyright license
390:
346:Fix bounding box
300:
299:
288:
266:
265:
240:
239:
130:
117:
116:
97:Wikimedia Commons
32:Global file usage
897:
888:Gram-Schmidt 正交化
573:
426:copyright status
286:
275:
274:
268:
262:
259:
256:
253:
248:
201:
195:
181:
178:
171:
168:
161:
158:
151:
148:
141:
138:
131:
113:
92:
91:
85:
79:
68:
53:640 × 329 pixels
49:320 × 165 pixels
43:350 × 180 pixels
905:
904:
900:
899:
898:
896:
895:
894:
703:תהליך גרם-שמידט
663:Base ortonormal
624:
606:
599:
579:
571:
527:
526:
523:
522:
521:
520:
519:
518:
517:
516:
514:
504:
503:
502:
500:
489:
488:
487:
486:
485:
484:
483:
482:
480:
468:
467:
466:
464:
453:
452:
451:
450:
449:
448:
447:
446:
444:
432:
431:
430:
428:
417:
416:
415:
414:
413:
411:
395:
394:
393:
364:
360:Convert to SVG
357:
350:
343:
336:
329:
324:
321:
305:
293:for any purpose
260:
257:
254:
251:
246:
241:
199:
192:
187:
179:
176:
169:
166:
159:
156:
149:
146:
139:
136:
132:
128:
119:
118:
107:
106:
105:is shown below.
81:
77:
70:
69:
46:
12:
11:
5:
903:
901:
893:
892:
891:
890:
882:
881:
880:
872:
871:
870:
862:
861:
860:
852:
851:
850:
842:
841:
840:
838:Linjär algebra
832:
831:
830:
822:
821:
820:
812:
811:
810:
802:
801:
800:
792:
791:
790:
785:
777:
776:
775:
767:
766:
765:
757:
756:
755:
747:
746:
745:
737:
736:
735:
727:
726:
725:
717:
716:
715:
707:
706:
705:
697:
696:
695:
687:
686:
685:
677:
676:
675:
667:
666:
665:
660:
652:
651:
650:
642:
641:
640:
628:
627:
623:
622:
617:
612:
604:
603:
602:
597:
596:
581:
577:
574:
568:
563:
558:
554:
553:
550:
547:
544:
541:
538:
531:
530:
515:
512:
510:
509:
508:
507:
506:
505:
501:
496:
494:
493:
492:
491:
490:
481:
476:
474:
473:
472:
471:
470:
469:
465:
460:
458:
457:
456:
455:
454:
445:
440:
438:
437:
436:
435:
434:
433:
429:
424:
422:
421:
420:
419:
418:
412:
407:
405:
402:
401:
400:
399:
398:
387:
386:
383:
380:
376:
375:
370:
365:
362:
358:
355:
351:
348:
344:
341:
339:Outline fonts
337:
334:
328:
325:
322:
320:
317:
304:
301:
298:
297:
276:
264:
263:
245:
242:
238:
237:
230:
226:
225:
222:
218:
217:
214:
210:
209:
202:
193:
191:
188:
186:
185:
184:
183:
173:
153:
143:
127:
120:
115:
114:
93:
83:
82:
40:
36:
35:
34:
29:
24:
19:
13:
10:
9:
6:
4:
3:
2:
902:
889:
886:
885:
883:
879:
876:
875:
873:
869:
866:
865:
863:
859:
856:
855:
853:
849:
846:
845:
843:
839:
836:
835:
833:
829:
826:
825:
823:
819:
816:
815:
813:
809:
806:
805:
803:
799:
796:
795:
793:
789:
786:
784:
781:
780:
778:
774:
771:
770:
768:
764:
761:
760:
758:
754:
751:
750:
748:
744:
741:
740:
738:
734:
731:
730:
728:
724:
721:
720:
718:
714:
711:
710:
708:
704:
701:
700:
698:
694:
691:
690:
688:
684:
681:
680:
678:
674:
671:
670:
668:
664:
661:
659:
656:
655:
653:
649:
646:
645:
643:
639:
636:
635:
633:
632:
631:
625:
621:
618:
616:
613:
611:
608:
600:
594:
590:
586:
580:
575:
569:
567:
564:
562:
559:
556:
555:
551:
548:
545:
542:
539:
537:
536:
534:
528:
499:
479:
463:
443:
427:
410:
374:
368:
366:
361:
359:
354:
352:
347:
345:
340:
338:
333:
331:
330:
326:
318:
316:
314:
310:
302:
296:
294:
289:
285:
283:
282:
281:public domain
277:
270:
269:
255:Public domain
252:Public domain
250:
249:
243:
235:
231:
227:
223:
219:
211:
207:
203:
196:
189:
182:
174:
172:
164:
163:
162:
154:
152:
144:
142:
134:
133:
125:
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:
629:
532:
529:File history
513:7 March 2006
327:Instructions
306:
292:
290:
279:
180:Instructions
110:You can help
100:
72:
22:File history
332:Create EPS
307:Created by
198:Description
601:File usage
570:350 × 180
546:Dimensions
27:File usage
753:그람-슈미트 과정
543:Thumbnail
540:Date/Time
498:inception
244:Licensing
204:Steps in
150:Licensing
593:PSTricks
385:Captions
373:Inkscape
313:PSTricks
126:Contents
589:Gustavb
578:Gustavb
572:(17 KB)
557:current
552:Comment
409:depicts
389:English
309:Gustavb
234:Gustavb
190:Summary
140:Summary
76:
591:using
311:using
303:Source
229:Author
221:Source
160:Source
371:with
261:false
258:false
549:User
367:Fix
213:Date
17:File
177:3.2
167:3.1
315:.
63:|
59:|
55:|
51:|
45:.
208:.
157:3
147:2
137:1
112:.
67:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.