lectures:一次変換
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lectures:一次変換 [2019/05/23 22:55] – [証明] kimi | lectures:一次変換 [2022/08/23 13:34] (現在) – 外部編集 127.0.0.1 | ||
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行 29: | 行 29: | ||
f(\vec{e}_1)& | f(\vec{e}_1)& | ||
f(\vec{e}_2)& | f(\vec{e}_2)& | ||
- | &\ldots& \\ | + | &\vdots& \\ |
\end{array} | \end{array} | ||
$$ | $$ | ||
行 36: | 行 36: | ||
\begin{array}{rcl} | \begin{array}{rcl} | ||
f(\vec{x})& | f(\vec{x})& | ||
- | & | + | & |
- | &+&x_2\{a_{12}\vec{e}_1+a_{22}\vec{e}_2+\cdots\} \\ | + | |
- | & | + | & & |
+ | & | ||
+ | | ||
+ | | ||
\end{array} | \end{array} | ||
$$ | $$ | ||
+ | $$ | ||
+ | \begin{array}{rcl} | ||
+ | y_1\vec{e}_1+y_2\vec{e}_2+\cdots & | ||
+ | & & | ||
+ | & & | ||
+ | \end{array} | ||
+ | $$ | ||
$$ | $$ | ||
- | \in R\mathbb{R}\left\{ | + | \left\{\begin{array}{rcl} |
- | | + | y_1&=&a_{11}x_1+a_{12}x_2+\cdots\\ |
- | | + | y_2& |
- | | + | |
- | \end{array} | + | \end{array} |
- | \right. | + | \right. |
$$ | $$ | ||
+ | |||
+ | $$ | ||
+ | \left[\begin{array}{c} | ||
+ | y_1\\ | ||
+ | y_2\\ | ||
+ | \vdots\\ | ||
+ | \end{array} | ||
+ | \right] | ||
+ | =\left[\begin{array}{ccc} | ||
+ | a_{11}& | ||
+ | a_{21}& | ||
+ | \vdots & & \\ | ||
+ | \end{array} | ||
+ | \right] | ||
+ | \left[\begin{array}{c} | ||
+ | x_{1}\\ | ||
+ | x_{2}\\ | ||
+ | \vdots\\ | ||
+ | \end{array} | ||
+ | \right] | ||
+ | $$ | ||
+ |
lectures/一次変換.txt · 最終更新: 2022/08/23 13:34 by 127.0.0.1