Sažetak

Licencija

Ja, nositelj autorskog prava za ovo djelo, prepuštam ovo djelo u javno vlasništvo. Ovo prepuštanje vrijedi za cijeli svijet. U nekim državama to nije pravno moguće; ako je tako: Dajem svima prava da koriste ovo djelo za bilo koju svrhu, bez ikakvih uvjeta, osim ako takvi uvjeti nisu propisani zakonom.

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