diff --git a/README.md b/README.md
index 6412a39..ffef251 100644
--- a/README.md
+++ b/README.md
@@ -10,55 +10,20 @@
     <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md'>必备数学基础Basic knowledge</a>
         <ul>
             <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E9%AB%98%E7%AD%89%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80'>高等数学基础</a>
-                <ul>
-              		<li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%87%BD%E6%95%B0'>函数</a></li>
-          			<li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%96%B9%E5%90%91%E5%AF%BC%E6%95%B0%E5%BC%95%E5%87%BA%E6%A2%AF%E5%BA%A6'>方向导数（引出梯度）</a></li>
-          			<li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%A2%AF%E5%BA%A6'>梯度</a></li>
-                </ul>
             </li>
             <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%BE%AE%E7%A7%AF%E5%88%86'>微积分</a>
-            <ul>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%BE%AE%E7%A7%AF%E5%88%86%E5%9F%BA%E6%9C%AC%E7%90%86%E8%AE%BA'>微积分基本理论</a>
-            </ul>
-        </li>
         <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%B3%B0%E5%8B%92%E5%85%AC%E5%BC%8F'>泰勒公式</a>
-    </li>
-    <li><a>线性代数基础</a>
-        <ul>
-            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E7%9F%A9%E9%98%B5%E5%92%8C%E7%89%B9%E5%BE%81'>矩阵和特征</a>
-            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%90%91%E9%87%8F%E5%86%85%E7%A7%AF'>向量内积</a>
-            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#svd%E7%9F%A9%E9%98%B5%E5%88%86%E8%A7%A3'>SVD矩阵分解</a>
-            </ul>
-        </li>
-        <li><a>随机变量</a>
-                    <ul>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E7%A6%BB%E6%95%A3%E5%92%8C%E8%BF%9E%E7%BB%AD%E5%9E%8B%E6%95%B0%E6%8D%AE'>离散和连续型数据</a>
-  <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E7%AE%80%E5%8D%95%E9%9A%8F%E6%9C%BA%E6%8A%BD%E6%A0%B7'>简单随机抽样</a>
-  <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%9E%81%E5%A4%A7%E4%BC%BC%E7%84%B6%E4%BC%B0%E8%AE%A1'>极大似然估计</a>
-            </ul>
+    <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%E5%9F%BA%E7%A1%80'>线性代数基础</a>
+        <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E9%9A%8F%E6%9C%BA%E5%8F%98%E9%87%8F'>随机变量</a>
         <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%A6%82%E7%8E%87%E8%AE%BA%E5%9F%BA%E7%A1%80'>概率论基础</a>
-            <ul>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%A6%82%E7%8E%87%E4%B8%8E%E9%A2%91%E7%8E%87'>概率与频率</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%8F%A4%E5%85%B8%E6%A6%82%E5%9E%8B'>古典概型</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%9D%A1%E4%BB%B6%E6%A6%82%E7%8E%87'>条件概率</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%9D%A1%E4%BB%B6%E6%A6%82%E7%8E%87'>独立性</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%9D%A1%E4%BB%B6%E6%A6%82%E7%8E%87'>二维随机变量</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%9C%9F%E6%9C%9B'>期望</a>
-                <li><a hre='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E8%B4%9D%E5%8F%B6%E6%96%AF%E6%8B%BC%E5%86%99%E7%BA%A0%E9%94%99'>贝叶斯拼写纠错</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%9E%83%E5%9C%BE%E9%82%AE%E4%BB%B6%E8%BF%87%E6%BB%A4'>垃圾邮件过滤</a>
-            </ul>
             <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%95%B0%E6%8D%AE%E7%A7%91%E5%AD%A6%E7%9A%84%E5%87%A0%E7%A7%8D%E5%88%86%E5%B8%83'>数据科学的几种分布</a>
-            <ul>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%AD%A3%E6%80%81%E5%88%86%E5%B8%83'>正态分布</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%88%86%E5%B8%83'>二项式分布</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%88%86%E5%B8%83'>泊松分布</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%9D%87%E5%8C%80%E5%88%86%E5%B8%83'>均匀分布</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%8D%A1%E6%96%B9%E5%88%86%E5%B8%83'>卡方分布</a>
-                <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#beta%E5%88%86%E5%B8%83'>Beta分布</a>
-                </ul>
-	</ul>
-	</li>
-<li><a>机器学习MachineLearning</a> 
+            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E6%A0%B8%E5%87%BD%E6%95%B0'>核函数</a>
+            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E7%86%B5%E5%92%8C%E6%BF%80%E6%B4%BB%E5%87%BD%E6%95%B0'>熵和激活函数</a>
+            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%9B%9E%E5%BD%92%E5%88%86%E6%9E%90'>回归分析</a>
+            <li><a href='https://github.com/ben1234560/AiLearning-Theory-Applying/blob/master/%E5%BF%85%E5%A4%87%E6%95%B0%E5%AD%A6%E5%9F%BA%E7%A1%80.md#%E5%81%87%E8%AE%BE%E6%A3%80%E9%AA%8C'>假设检验</a>
+            <li><a href=''></a>
+        </ul>
+    <li><a>机器学习MachineLearning</a> 
     <ul>
         <li><a>持续更新中</a>
 	</ul>
@@ -66,3 +31,4 @@
 
 
 
+