旋轉矩陣(1)
Author: 藍邦偉　老師

$ 旋轉矩陣(1) $

n=

n=

list_1: {2, 3, 4, 6, 8, 12}
k = 1 (slider from 1 to 6, step 1)
a = Element(list_1, k)
m = 1 (slider from 1 to 24, step 1)
θ: (m * π) / k
n = 1 (slider from 1 to 2012, step 1)
IB_n = Textfield(n)
p: n * m
text2: "$ A^{" + (LaTeX[n]) + "} =\left [\begin{array}{cc} cos\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} & -sin\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} \\ sin\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} & cos\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} \\ \end{array}   \right ] ^{" + (LaTeX[n]) + "}=\left [ \begin{array}{cc} cos \frac{" + (LaTeX[n]) + "×" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "}& -sin\frac{" + (LaTeX[n]) + "×" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} \\ sin \frac{" + (LaTeX[n]) + "×" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "}& cos\frac{" + (LaTeX[n]) + "×" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} \\ \end{array}  \right ] =\left [ \begin{array}{cc} cos\frac{" + (LaTeX[p]) + "\pi}{" + (LaTeX[a]) + "} &-sin\frac{" + (LaTeX[p]) + "\pi}{" + (LaTeX[a]) + "} \\ sin\frac{" + (LaTeX[p]) + "\pi}{" + (LaTeX[a]) + "} & cos\frac{" + (LaTeX[p]) + "\pi}{" + (LaTeX[a]) + "} \\ \end{array}  \right ] $"
text3: "$ =\left [\begin{array}{cc} cos" + (LaTeX[FractionText[p / a]]) + "\pi & -sin" + (LaTeX[FractionText[p / a]]) + "\pi \\ sin" + (LaTeX[FractionText[p / a]]) + "\pi & cos" + (LaTeX[FractionText[p / a]]) + "\pi \\ \end{array}   \right ]=\left [ \begin{array}{cc} " + (LaTeX[cos(p * 3.14159 / a)]) + " & " + (LaTeX[-sin(3.14159 * p / a)]) + " \\ " + (LaTeX[sin(p * 3.14159 / a)]) + " & " + (LaTeX[cos(3.14159 * p / a)]) + " \\ \end{array}  \right ]   $"
Step = 0 (slider from 0 to 3, step 1)
text4: "θ=\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "}"
text1: "$ A=\left [  \begin{array}{cc} cos\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} & -sin\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "} \\ sin\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "}& cos\frac{" + (LaTeX[m]) + "\pi}{" + (LaTeX[a]) + "}\\ \end{array} \right ]  $"