Image:Gram–Schmidt process.svg

From Wikipedia, the free encyclopedia

Image
File history
File links

No higher resolution available.

Gram–Schmidt_process.svg‎ (350 × 180 pixel, file size: 17 KB, MIME type: image/svg+xml)

	This is a file from the Wikimedia Commons. The description on its description page there is shown below.
	Commons is attempting to create a freely licensed media file repository. You can help.

1 Summary
2 Licensing
3 Source
- 3.1 Gram–Schmidt process.tex (PSTricks source)
- 3.2 Instructions

[edit] Summary

Steps in Gram–Schmidt process.

[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

[edit] Source

Created by Gustavb using PSTricks.

[edit] Gram–Schmidt process.tex (PSTricks source)

\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[dash=.12 .1](2,2)(2.4,.8)
\psline[dash=.12 .1](2,2)(-.4,1.2)

\uput{6pt}[315](3,1){\psscalebox{1.6}{${\bf u}_1$}}
\uput{4pt}[25](3,1){\psscalebox{1.6}{${\bf v}_1$}}
\uput{6pt}[335](2,2){\psscalebox{1.6}{${\bf v}_2$}}
\uput{12pt}[265](2.4,.8){\psscalebox{1.2}{${\rm proj}_{{\bf u}_1}{\bf v}_2$}}
\uput{6pt}[200](-.4,1.2){\psscalebox{1.6}{${\bf u}_2$}}

\uput{10pt}[270](.9486832980,.3162277660){\psscalebox{1.6}{${\bf e}_1$}}
\uput{6pt}[220](-.3162277660,.9486832980){\psscalebox{1.6}{${\bf e}_2$}}

\endpspicture

\endTeXtoEPS
\nopagenumbers
\end

[edit] Instructions

Create EPS

$ tex Gram-Schmidt_process.tex && dvips -E Gram-Schmidt_process.dvi

Outline fonts

$ eps2eps -dNOCACHE Gram-Schmidt_process.ps Gram-Schmidt_process2.eps

Fix bounding box

$ ps2epsi Gram-Schmidt_process2.eps Gram-Schmidt_process.eps

Convert to Sketch

$ pstoedit -f sk Gram-Schmidt_process.eps Gram-Schmidt_process.sk

Convert to SVG

$ skconvert Gram-Schmidt_process.sk Gram-Schmidt_process.svg

Fix Gram-Schmidt_process.svg with Inkscape

File links

The following pages on the English Wikipedia link to this file (pages on other projects are not listed):

Retrieved from "http://en.wikipedia.org../../../g/r/a/Image%7EGram%E2%80%93Schmidt_process.svg_59c5.html"

Image:Gram–Schmidt process.svg

From Wikipedia, the free encyclopedia

Contents

[edit] Summary

[edit] Licensing

[edit] Source

[edit] Gram–Schmidt process.tex (PSTricks source)

[edit] Instructions

File links

Views

Navigation

interaction

Search