diff --git a/package-lock.json b/package-lock.json
index 64f39cb..c9355a7 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -1,359 +1,263 @@
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diff --git a/package.json b/package.json
index f6992fc..c6faf0f 100644
--- a/package.json
+++ b/package.json
@@ -14,6 +14,7 @@
   "dependencies": {
     "@renbaoshuo/markdown-it-katex": "^2.0.2",
     "hexo": "^7.0.0",
+    "hexo-cli": "^4.3.2",
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diff --git a/source/_posts/DLsys/hw2.md b/source/_posts/DLsys/hw2.md
new file mode 100644
index 0000000..40fc59a
--- /dev/null
+++ b/source/_posts/DLsys/hw2.md
@@ -0,0 +1,80 @@
+---
+title: DLsys-hw2
+date: 2024-06-27 10:32:56
+tags:
+categories:
+- [学习笔记, DLsys]
+description: DLsys第2次作业
+---
+
+# 作业二
+
+## Question2
+
+### BatchNorm1d
+
+Batch Normalization (BatchNorm) 在训练和推理过程中使用的统计量不同。
+- 在训练过程中，BatchNorm使用当前批次的均值和方差来标准化数据，
+- 在推理过程中，它使用训练过程中累积的全局均值和方差。
+
+具体来说：
+
+在训练过程中，模型不断更新权重和偏置，数据的分布可能会发生变化。为了使模型更快地收敛和更稳定，BatchNorm在训练过程中对每一个批次的数据计算其均值和方差，然后用这些值来标准化当前批次的数据。
+
+在推理过程中，模型的权重和偏置已经训练好了，数据的分布也应该稳定下来。此时，为了确保模型的一致性和稳定性，BatchNorm使用在训练过程中累积的全局均值和方差来标准化数据。
+
+```python
+class BatchNorm1d(Module):
+    def __init__(self, dim, eps=1e-5, momentum=0.1, device=None, dtype="float32"):
+        super().__init__()
+        self.dim = dim
+        self.eps = eps
+        self.momentum = momentum
+        ### BEGIN YOUR SOLUTION
+        self.weight = Parameter(init.ones(dim, device=device))
+        self.bias = Parameter(init.zeros(dim, device=device))
+        self.running_mean = Parameter(init.zeros(dim, device=device))
+        self.running_var = Parameter(init.ones(dim, device=device))
+        ### END YOUR SOLUTION
+
+    def forward(self, x: Tensor) -> Tensor:
+        ### BEGIN YOUR SOLUTION
+        batch_size, features = x.shape[0], x.shape[1]
+        broadcast_weight = ops.broadcast_to(ops.reshape(self.weight, (1, -1)), x.shape)
+        broadcast_bias = ops.broadcast_to(ops.reshape(self.bias, (1, -1)), x.shape)
+
+        if self.training:
+            mean_x = ops.divide_scalar(ops.summation(x, axes=0), batch_size)
+            broadcast_mean = ops.broadcast_to(ops.reshape(mean_x, (1,-1)), x.shape)
+
+            numerator = x - broadcast_mean
+
+            var_x = ops.power_scalar(numerator, 2)
+            var_x = ops.summation(ops.divide_scalar(var_x, batch_size), axes=0) # 这里先累加和先处以batch_size是一样的
+            broadcast_var = ops.broadcast_to(ops.reshape(var_x, (1,-1)), x.shape)
+
+            denominator = ops.power_scalar(broadcast_var + self.eps, 0.5)
+
+            frac = numerator / denominator
+
+            y = ops.multiply(broadcast_weight, frac) + broadcast_bias
+
+            # update running estimates
+            self.running_mean = (1 - self.momentum) * self.running_mean + self.momentum * mean_x
+            self.running_var = (1 - self.momentum) * self.running_var + self.momentum * var_x
+        else:
+            broadcast_rm = ops.broadcast_to(ops.reshape(self.running_mean, (1, -1)), x.shape)
+            broadcast_rv = ops.broadcast_to(ops.reshape(self.running_var, (1, -1)), x.shape)
+
+            numerator = x - broadcast_rm
+
+            denominator = ops.power_scalar(broadcast_rv + self.eps, 0.5)
+
+            frac = numerator / denominator
+
+            y = ops.multiply(broadcast_weight, frac) + broadcast_bias
+
+        return y
+        ### END YOUR SOLUTION
+```
+
diff --git a/source/_posts/cuda-ch1.md b/source/_posts/language/cuda-ch1.md
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diff --git a/source/_posts/language/operator.md b/source/_posts/language/operator.md
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--- a/source/_posts/language/operator.md
+++ b/source/_posts/language/operator.md
@@ -1,6 +1,6 @@
 ---
 title: C++运算符重载
-date: 2023-06-05 21:00:00
+date: 2024-06-05 21:00:00
 tags:
 categories:
 description: 
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