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Original file (SVG file, nominally 350 × 180 pixels, file size: 17 KB)

Summary

Description Steps in Gram–Schmidt process.
Date 7 March 2006 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Gustavb assumed (based on copyright claims).

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source

Created by Gustavb using PSTricks.

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

Instructions

  1. Create EPS
    $ tex Gram-Schmidt_process.tex && dvips -E Gram-Schmidt_process.dvi
  2. Outline fonts
    $ eps2eps -dNOCACHE Gram-Schmidt_process.ps Gram-Schmidt_process2.eps
  3. Fix bounding box
    $ ps2epsi Gram-Schmidt_process2.eps Gram-Schmidt_process.eps
  4. Convert to Sketch
    $ pstoedit -f sk Gram-Schmidt_process.eps Gram-Schmidt_process.sk
  5. Convert to SVG
    $ skconvert Gram-Schmidt_process.sk Gram-Schmidt_process.svg
  6. Fix Gram-Schmidt_process.svg with Inkscape

Captions

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Items portrayed in this file

depicts

7 March 2006

File history

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Date/TimeThumbnailDimensionsUserComment
current02:47, 7 March 2006Thumbnail for version as of 02:47, 7 March 2006350 × 180 (17 KB)Gustavb== Summary == Steps in Gram–Schmidt process. == Licensing == {{PD-self}} == Source == Created by Gustavb using PSTricks. === Gram–Schmidt process.tex (PSTricks source)

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