Update develop doc

docs/zh/install_setup.md

@@ -26,25 +26,20 @@
     pip install -r requirements.txt
     ```
 
-    ???+ Info "安装注意事项"
-
-        如需使用外部导入STL文件来构建几何，以及使用加密采样等功能，还需额外安装三个依赖库：
-        [pymesh](https://pymesh.readthedocs.io/en/latest/installation.html#download-the-source)（推荐编译安装）,
-        [open3d](https://github.com/isl-org/Open3D/tree/master#python-quick-start)（推荐pip安装）,
-        [pysdf](https://github.com/sxyu/sdf)（推荐pip安装）
-
 #### 1.2.2 pip 安装
 
-coming soon
-
-<div style='display: none'>
 执行以下命令进行 pip 安装
 
 ``` shell
-pip install -i https://pypi.org/simple/ paddlesci
+pip install paddlesci
 ```
 
-</div>
+???+ Info "安装注意事项"
+
+    如需使用外部导入STL文件来构建几何，以及使用加密采样等功能，还需额外安装三个依赖库：
+    [pymesh](https://pymesh.readthedocs.io/en/latest/installation.html#download-the-source)（推荐编译安装）,
+    [open3d](https://github.com/isl-org/Open3D/tree/master#python-quick-start)（推荐pip安装）,
+    [pysdf](https://github.com/sxyu/sdf)（推荐pip安装）
 
 ## 2. 验证安装
 

ppsci/metric/anomaly_coef.py

@@ -32,7 +32,7 @@ class LatitudeWeightedACC(base.Metric):
     $$
 
     $$
-    L_m = N_{lat}\dfrac{cos(lat_m)}{\sum\limits_{j=1}^{N_{lat}}cos(lat_j)}
+    L_m = N_{lat}\dfrac{\cos(lat_m)}{\sum\limits_{j=1}^{N_{lat}}\cos(lat_j)}
     $$
 
     $lat_m$ is the latitude at m.

ppsci/metric/l2_rel.py

@@ -21,7 +21,11 @@ class L2Rel(base.Metric):
     r"""Class for l2 relative error.
 
     $$
-    metric = \dfrac{\Vert x-y \Vert_2}{\Vert y \Vert_2}
+    metric = \dfrac{\Vert \mathbf{x} - \mathbf{y} \Vert_2}{\Vert \mathbf{y} \Vert_2}
+    $$
+
+    $$
+    \mathbf{x}, \mathbf{y} \in \mathcal{R}^{N}
     $$
 
     Args:

ppsci/metric/mae.py

@@ -22,7 +22,11 @@ class MAE(base.Metric):
     r"""Mean absolute error.
 
     $$
-    metric = \dfrac{1}{N}\sum\limits_{i=1}^{N}{|x_i-y_i|}
+    metric = \dfrac{1}{N} \Vert \mathbf{x} - \mathbf{y} \Vert_1
+    $$
+
+    $$
+    \mathbf{x}, \mathbf{y} \in \mathcal{R}^{N}
     $$
 
     Args:

ppsci/metric/mse.py

@@ -22,7 +22,11 @@ class MSE(base.Metric):
     r"""Mean square error
 
     $$
-    metric = \dfrac{1}{N}\sum\limits_{i=1}^{N}{(x_i-y_i)^2}
+    metric = \dfrac{1}{N} \Vert \mathbf{x} - \mathbf{y} \Vert_2^2
+    $$
+
+    $$
+    \mathbf{x}, \mathbf{y} \in \mathcal{R}^{N}
     $$
 
     Args:

ppsci/metric/rmse.py

@@ -28,7 +28,11 @@ class RMSE(base.Metric):
     r"""Root mean square error
 
     $$
-    metric = \sqrt{\dfrac{1}{N}\sum\limits_{i=1}^{N}{(x_i-y_i)^2}}
+    metric = \sqrt{\dfrac{1}{N} \Vert \mathbf{x} - \mathbf{y} \Vert_2^2}
+    $$
+
+    $$
+    \mathbf{x}, \mathbf{y} \in \mathcal{R}^{N}
     $$
 
     Args:
@@ -62,7 +66,7 @@ class LatitudeWeightedRMSE(base.Metric):
     $$
 
     $$
-    L_m = N_{lat}\dfrac{cos(lat_m)}{\sum\limits_{j=1}^{N_{lat}}cos(lat_j)}
+    L_m = N_{lat}\dfrac{\cos(lat_m)}{\sum\limits_{j=1}^{N_{lat}}\cos(lat_j)}
     $$
 
     $lat_m$ is the latitude at m.

ppsci/utils/expression.py

@@ -166,7 +166,7 @@ def visu_forward(
 
         Args:
             expr_dict (Optional[Dict[str, Callable]]): Expression dict.
-            input_dict (Dict[str, paddle.Tensor]]): Input dict.
+            input_dict (Dict[str, paddle.Tensor]): Input dict.
             model (nn.Layer): NN model.
 
         Returns:

ppsci/visualize/plot.py

@@ -165,7 +165,7 @@ def _save_plot_from_2d_array(
     Args:
         filename (str): Filename.
         visu_data (Tuple[np.ndarray, ...]): Data that requires visualization.
-        visu_keys (Tuple[str, ...]]): Keys for visualizing data. such as ("u", "v").
+        visu_keys (Tuple[str, ...]): Keys for visualizing data. such as ("u", "v").
         num_timestamps (int, optional): Number of timestamps coord/value contains. Defaults to 1.
         stride (int, optional): The time stride of visualization. Defaults to 1.
         xticks (Optional[Tuple[float, ...]]): Tuple of xtick locations. Defaults to None.
@@ -314,7 +314,7 @@ def _save_plot_from_3d_array(
     Args:
         filename (str): Filename.
         visu_data (Tuple[np.ndarray, ...]): Data that requires visualization.
-        visu_keys (Tuple[str, ...]]): Keys for visualizing data. such as ("u", "v").
+        visu_keys (Tuple[str, ...]): Keys for visualizing data. such as ("u", "v").
         num_timestamps (int, optional): Number of timestamps coord/value contains. Defaults to 1.
     """