fix: formula

.obsidian/app.json

@@ -1,3 +1,5 @@
 {
-  "readableLineLength": false
+  "readableLineLength": false,
+  "newFileLocation": "folder",
+  "newFileFolderPath": "pages"
 }

.obsidian/plugins/obsidian-copy-block-link/manifest.json

@@ -0,0 +1,10 @@
+{
+	"id": "obsidian-copy-block-link",
+	"name": "Copy Block Link",
+	"version": "1.0.4",
+	"minAppVersion": "0.12.12",
+	"description": "Get links to blocks and headings from Obsidian's right click menu",
+	"author": "mgmeyers",
+	"authorUrl": "https://github.com/mgmeyers/obsidian-copy-block-link",
+	"isDesktopOnly": false
+}

.obsidian/workspace.json

@@ -11,8 +11,12 @@
             "id": "301fcd1e21a67ab9",
             "type": "leaf",
             "state": {
-              "type": "empty",
-              "state": {}
+              "type": "markdown",
+              "state": {
+                "file": "pages/数学/线性代数/矩阵.md",
+                "mode": "preview",
+                "source": true
+              }
             }
           }
         ]
@@ -61,8 +65,7 @@
               "state": {}
             }
           }
-        ],
-        "currentTab": 1
+        ]
       }
     ],
     "direction": "horizontal",
@@ -82,6 +85,7 @@
             "state": {
               "type": "backlink",
               "state": {
+                "file": "pages/数学/线性代数/矩阵.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -98,6 +102,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
+                "file": "pages/数学/线性代数/矩阵.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -119,7 +124,9 @@
             "type": "leaf",
             "state": {
               "type": "outline",
-              "state": {}
+              "state": {
+                "file": "pages/数学/线性代数/矩阵.md"
+              }
             }
           }
         ]
@@ -139,7 +146,7 @@
       "command-palette:打开命令面板": false
     }
   },
-  "active": "cea88693cff4a209",
+  "active": "d7a2c43528e03711",
   "lastOpenFiles": [
     "pages/数学/微积分/导数.md",
     "pages/数学/微积分/函数.md",

pages/数学/微积分/偏导数.md

@@ -120,19 +120,19 @@ tags:
 - **方向导数**
 	- **定义**
 		- 设 $z=f(x,y)$ 在点 $P(x_0,y_0)$ 的某邻域内有定义。
-		- 从 $P$ 引一条方向向量为 $\bm e=(\cos\alpha,\cos\beta)$ 的射线。在射线上取 $P'(x+\Delta x,y+\Delta y)$，定义方向导数为
+		- 从 $P$ 引一条方向向量为 $\boldsymbol e=(\cos\alpha,\cos\beta)$ 的射线。在射线上取 $P'(x+\Delta x,y+\Delta y)$，定义方向导数为
 		  $$
-		  \frac{\partial z}{\partial\bm e}=\lim_{\rho\to 0}\frac{\Delta_{\bm e} z}=\lim_{\rho\to 0}\frac{f(x+\Delta x,y+\Delta y)-f(x,y)}{\rho}\ (\rho=|PP'|=\sqrt{\Delta x^2+\Delta y^2})
+		  \frac{\partial z}{\partial\boldsymbol e}=\lim_{\rho\to 0}\frac{\Delta_{\boldsymbol e} z}=\lim_{\rho\to 0}\frac{f(x+\Delta x,y+\Delta y)-f(x,y)}{\rho}\ (\rho=|PP'|=\sqrt{\Delta x^2+\Delta y^2})
 		  $$
 		- 方向导数与对 $x,y$ 的偏导数关系：
 		  $$
-			\frac{\partial z}{\partial\bm i}=\frac{\partial z}{\partial x},\frac{\partial z}{\partial\bm j}=\frac{\partial z}{\partial y}
+			\frac{\partial z}{\partial\boldsymbol i}=\frac{\partial z}{\partial x},\frac{\partial z}{\partial\boldsymbol j}=\frac{\partial z}{\partial y}
 		  $$
 	- **计算**
 		- 计算方向导数的基础方法是利用定义计算。
-		- 如果 $z=f(x,y)$ 在 $P(x,y)$ 可微，则在 $P(x,y)$ 的任意方向导数都存在，当方向向量为 $\bm e=(\cos\alpha,\cos\beta)$ 时，方向导数为
+		- 如果 $z=f(x,y)$ 在 $P(x,y)$ 可微，则在 $P(x,y)$ 的任意方向导数都存在，当方向向量为 $\boldsymbol e=(\cos\alpha,\cos\beta)$ 时，方向导数为
 		  $$
-		  \frac{\partial z}{\partial\bm e}=\frac{\partial z}{\partial x}\cos\alpha+\frac{\partial z}{\partial y}\cos\beta
+		  \frac{\partial z}{\partial\boldsymbol e}=\frac{\partial z}{\partial x}\cos\alpha+\frac{\partial z}{\partial y}\cos\beta
 		  $$
 - **梯度**
 	- **定义**
@@ -147,7 +147,7 @@ tags:
 	- **性质**
 		- 方向导数沿梯度方向最大，即
 		  $$
-		  \max_{\bm e}\frac{\partial u}{\partial\bm e}=|\nabla u|=\sqrt{\left(\frac{\partial u}{\partial x}\right)^2+\left(\frac{\partial u}{\partial y}\right)^2+\left(\frac{\partial u}{\partial z}\right)^2}
+		  \max_{\boldsymbol e}\frac{\partial u}{\partial\boldsymbol e}=|\nabla u|=\sqrt{\left(\frac{\partial u}{\partial x}\right)^2+\left(\frac{\partial u}{\partial y}\right)^2+\left(\frac{\partial u}{\partial z}\right)^2}
 		  $$
 		- 沿梯度方向函数值增加最快，沿负梯度方向函数值减小最快，垂直梯度方向方向导数为零。
 		- 某一点的梯度与过该点的等值线 / 等值面的切线 / 切平面垂直。