diff --git a/README.md b/README.md
index f3e03504..d9aea4ca 100644
--- a/README.md
+++ b/README.md
@@ -22,5 +22,6 @@ $ mkdocs serve  # 在本地启动服务器预览
 我们欢迎和鼓励所有人贡献自己的知识和经验！
 
 - 在工单中提交需求
+- 联系我:sairate@sina.cn
 
 ![issues](.\static\image\issues.jpg)
diff --git a/notebook/docs/basic/math/矩阵运算.md b/notebook/docs/basic/math/矩阵运算.md
index a9f55f72..c7033281 100644
--- a/notebook/docs/basic/math/矩阵运算.md
+++ b/notebook/docs/basic/math/矩阵运算.md
@@ -5,78 +5,64 @@
 
 **例如：**
 设有两个矩阵 \( A \) 和 \( B \)，如下：
-\[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \]
+$$
+A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}
+$$
 
 **加法：**
-\[ A + B = \begin{pmatrix} 1+5 & 2+6 \\ 3+7 & 4+8 \end{pmatrix} = \begin{pmatrix} 6 & 8 \\ 10 & 12 \end{pmatrix} \]
+$$
+A + B = \begin{pmatrix} 1+5 & 2+6 \\ 3+7 & 4+8 \end{pmatrix} = \begin{pmatrix} 6 & 8 \\ 10 & 12 \end{pmatrix}
+$$
 
 **减法：**
-\[ A - B = \begin{pmatrix} 1-5 & 2-6 \\ 3-7 & 4-8 \end{pmatrix} = \begin{pmatrix} -4 & -4 \\ -4 & -4 \end{pmatrix} \]
+$$
+A - B = \begin{pmatrix} 1-5 & 2-6 \\ 3-7 & 4-8 \end{pmatrix} = \begin{pmatrix} -4 & -4 \\ -4 & -4 \end{pmatrix}
+$$
 
 ### 2. 矩阵乘法
 矩阵乘法是矩阵运算中最常见的一种操作。矩阵 \( A \) 的列数必须等于矩阵 \( B \) 的行数。结果矩阵的维度为 \( A \) 的行数和 \( B \) 的列数。
 
 **例如：**
 设有矩阵 \( A \) 和 \( B \)，如下：
-\[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \]
+$$
+A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, \quad B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}
+$$
 
 **乘法：**
-\[ A \times B = \begin{pmatrix} 1\times5 + 2\times7 & 1\times6 + 2\times8 \\ 3\times5 + 4\times7 & 3\times6 + 4\times8 \end{pmatrix} = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix} \]
+$$
+A \times B = \begin{pmatrix} 1\times5 + 2\times7 & 1\times6 + 2\times8 \\ 3\times5 + 4\times7 & 3\times6 + 4\times8 \end{pmatrix} = \begin{pmatrix} 19 & 22 \\ 43 & 50 \end{pmatrix}
+$$
 
 ### 3. 矩阵转置
 矩阵的转置是将矩阵的行和列互换。对于矩阵 \( A \) 的转置矩阵记作 \( A^T \)。
 
 **例如：**
 设矩阵 \( A \) 如下：
-\[ A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix} \]
+$$
+A = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{pmatrix}
+$$
 
 **转置：**
-\[ A^T = \begin{pmatrix} 1 & 4 \\ 2 & 5 \\ 3 & 6 \end{pmatrix} \]
+$$
+A^T = \begin{pmatrix} 1 & 4 \\ 2 & 5 \\ 3 & 6 \end{pmatrix}
+$$
 
 ### 4. 单位矩阵和逆矩阵
 - **单位矩阵** \( I \) 是一个对角线上全为1，其余元素为0的方阵。它在矩阵乘法中起着类似于数字1在数乘中的作用。
 
   **例如：**
-  \[ I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \]
+  $$
+  I = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}
+  $$
 
 - **逆矩阵** \( A^{-1} \) 是一个矩阵，使得 \( A \times A^{-1} = I \)。只有方阵（行数等于列数）并且行列式不为零的矩阵才有逆矩阵。
 
 ### 5. 矩阵行列式
 行列式是一个标量值，可以用于判断矩阵是否可逆。对于 \( 2 \times 2 \) 的矩阵 \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \)，行列式 \( \det(A) \) 计算如下：
-\[ \det(A) = ad - bc \]
+$$
+\det(A) = ad - bc
+$$
 
 如果行列式不为零，矩阵 \( A \) 可逆。
 
-### 6. Python 中的矩阵运算
-在 Python 中，NumPy 是一个常用的库来进行矩阵运算。
-
-```python
-import numpy as np
-
-# 定义矩阵
-A = np.array([[1, 2], [3, 4]])
-B = np.array([[5, 6], [7, 8]])
-
-# 矩阵加法
-C = A + B
-
-# 矩阵乘法
-D = np.dot(A, B)
-
-# 矩阵转置
-E = A.T
-
-# 矩阵的行列式
-det_A = np.linalg.det(A)
-
-# 矩阵的逆
-inv_A = np.linalg.inv(A)
-
-print("矩阵加法结果：\n", C)
-print("矩阵乘法结果：\n", D)
-print("矩阵转置结果：\n", E)
-print("矩阵的行列式：", det_A)
-print("矩阵的逆：\n", inv_A)
-```
-
-这些基本运算为许多复杂的线性代数问题打下了基础。如果你对更高级的矩阵运算或应用有兴趣，可以继续深入学习特征值分解、奇异值分解等内容。
\ No newline at end of file
+这些基本运算为许多复杂的线性代数问题打下了基础。如果你对更高级的矩阵运算或应用有兴趣，可以继续深入学习特征值分解、奇异值分解等内容。
diff --git a/notebook/docs/javascripts/katex.js b/notebook/docs/javascripts/katex.js
index db20eb34..e7d2bdda 100644
--- a/notebook/docs/javascripts/katex.js
+++ b/notebook/docs/javascripts/katex.js
@@ -1,11 +1,10 @@
 document$.subscribe(({ body }) => {
   renderMathInElement(body, {
     delimiters: [
-      { left: "$$",  right: "$$",  display: true },
-      { left: "$",   right: "$",   display: false },
-      { left: "\\(", right: "\\)", display: false },
-      { left: "\\[", right: "\\]", display: true },
-        { left: "\[", right: "\]", display: true }
+      { left: "$$",  right: "$$",  display: true },  // 用于块级显示的数学公式
+      { left: "$",   right: "$",   display: false }, // 用于行内显示的数学公式
+      { left: "\\(", right: "\\)", display: false }, // 行内数学公式的另一种表示法
+      { left: "\\[", right: "\\]", display: true }   // 块级数学公式的另一种表示法
     ],
   })
-})
\ No newline at end of file
+})
diff --git a/notebook/docs/javascripts/mathjax.js b/notebook/docs/javascripts/mathjax.js
index 63e06028..9679ae69 100644
--- a/notebook/docs/javascripts/mathjax.js
+++ b/notebook/docs/javascripts/mathjax.js
@@ -1,7 +1,16 @@
-// markdown_extensions:
-//   - pymdownx.arithmatex:
-//       generic: true
-//
-// extra_javascript:
-//   - javascripts/mathjax.js
-//   - https://unpkg.com/mathjax@3/es5/tex-mml-chtml.js
\ No newline at end of file
+window.MathJax = {
+  tex: {
+    inlineMath: [["\\(", "\\)"]],
+    displayMath: [["\\[", "\\]"]],
+    processEscapes: true,
+    processEnvironments: true
+  },
+  options: {
+    ignoreHtmlClass: ".*|",
+    processHtmlClass: "arithmatex"
+  }
+};
+ 
+document$.subscribe(() => { 
+  MathJax.typesetPromise()
+})
\ No newline at end of file
diff --git a/notebook/mkdocs.yml b/notebook/mkdocs.yml
index 415bd05e..49919547 100644
--- a/notebook/mkdocs.yml
+++ b/notebook/mkdocs.yml
@@ -33,18 +33,30 @@ markdown_extensions:
   - pymdownx.arithmatex:
       generic: true
 
-extra_javascript:
-  - javascripts/katex.js
-  - https://unpkg.com/katex@0/dist/katex.min.js
-  - https://unpkg.com/katex@0/dist/contrib/auto-render.min.js
-
 extra_css:
-  - https://unpkg.com/katex@0/dist/katex.min.css
+- themes/css/custom.css
+- themes/css/simpleLightbox.min.css
+- themes/css/pied_piper.css
+- https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.9/katex.min.css
 
-#markdown_extensions:
-#  - pymdownx.arithmatex:
-#      generic: true
-#
-#extra_javascript:
-#  - javascripts/mathjax.js
-#  - https://unpkg.com/mathjax@3/es5/tex-mml-chtml.js
\ No newline at end of file
+extra_javascript:
+- themes/js/custom.js
+- themes/js/simpleLightbox.min.js
+- themes/js/optionalConfig.js
+- themes/js/mermaidloader.js
+- themes/js/umlconvert.js
+- themes/js/mathjax.js
+- themes/js/katex.js
+- https://cdn.jsdelivr.net/npm/mermaid@10.6.1/dist/mermaid.min.js
+- https://cdnjs.cloudflare.com/ajax/libs/flowchart/1.17.1/flowchart.min.js
+- https://cdnjs.cloudflare.com/ajax/libs/raphael/2.3.0/raphael.min.js
+- https://cdnjs.cloudflare.com/ajax/libs/underscore.js/1.13.6/underscore-min.js
+- https://cdn.jsdelivr.net/npm/@mermaid-js/mermaid-mindmap@9.3.0/dist/diagram-definition.0faef4c2.min.js
+- https://cdn.jsdelivr.net/npm/markdown-it-plantuml@1.4.1/index.min.js
+- https://cdnjs.cloudflare.com/ajax/libs/webfont/1.6.28/webfontloader.js
+- https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.0/es5/tex-mml-chtml.js
+- https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.0/es5/tex-chtml.js
+- https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.0/es5/tex-chtml-full.js
+- https://cdnjs.cloudflare.com/ajax/libs/mathjax/3.2.0/es5/tex-svg-full.js
+- https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.9/katex.min.js
+- https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.9/contrib/auto-render.min.js
\ No newline at end of file