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MathJax in Pukiwiki[edit]

• $\vec{e1}$, $\vec{e2}$

• $A$ = $\begin{pmatrix}
  e1_x & e2_x \\
  e1_y & e2_y
  \end{pmatrix}$

• $g_{ij}$ = $A^T A$

• $R = \begin{pmatrix}
  cosθ & -sinθ \\
  sinθ & cosθ
  \end{pmatrix}$

• $A' = R A$

• $x' = A'^{-1} A x = A^{-1} R^{-1} A x$

• $x' = A^T R^{-1} A^{-T} x = (A^{-1} R A)^T x$

• $A = \begin{pmatrix}
  1 & \frac{1}{\sqrt{2}} \\
  0 & \frac{1}{\sqrt{2}}
  \end{pmatrix}$

• $A^T = \begin{pmatrix}
  1 & 0 \\
  \frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}}
  \end{pmatrix}$

• $A^{-1} = \begin{pmatrix}
  1 & -1 \\
  0 & \sqrt{2}
  \end{pmatrix}$

• $g_{ij} = A^T A = \begin{pmatrix}
  1 & \frac{1}{\sqrt{2}} \\
  \frac{1}{\sqrt{2}} & 1
  \end{pmatrix}$

TeXstudio（＋TeX Live）for Windows[edit]

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Tex Live[edit]

• https://tug.org/texlive/acquire-netinstall.html

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