test multiline formula

GaoangLiu · Nov 4, 2023 · 1242ffb · 1242ffb
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diff --git a/_drafts/2022/bm25.md b/_drafts/2022/bm25.md
@@ -81,12 +81,12 @@ $$\text{TF}^{bm25}(t, d) = \frac{x \cdot (k+1)}{x + k(1 - b(1 - \frac{\text{DL}}
 ## IDF 上的约束
 这一项说是拓展了二元独立模型的得分函数，具体推理可以参考[博客](https://www.cnblogs.com/bentuwuying/p/6730891.html)。
 
-$$
 \begin{aligned}
 \text{IDF}^{bm25}(t) &= \log \frac{N - \text{DF}(t) + 0.5}{\text{DF}(t) + 0.5} \\
 &= \log (\frac{N+1}{\text{DF}(t)+0.5} - 1)
 \end{aligned}
-$$
+
+<img src="https://latex.codecogs.com/svg.image?\begin{aligned}\text{IDF}^{bm25}(t)&=\log\frac{N-\text{DF}(t)&plus;0.5}{\text{DF}(t)&plus;0.5}\\&=\log(\frac{N&plus;1}{\text{DF}(t)&plus;0.5}-1)\end{aligned}">
 
 
 同样， +0.5 是为了平滑，且“分子上凑个数”，满足：当 DF(t)=N 时，这一项为 0。整体上跟 TF-IDF 的差距不大。 
@@ -95,9 +95,9 @@ $$
 ## 神奇的数字 25 
 据说是指第 25 次迭代调参才获得最终的算法，参考 https://opensourceconnections.com/blog/2015/10/16/bm25-the-next-generation-of-lucene-relevation/
 
-
-<img src="https://image.ddot.cc/202311/fdcfb1a1-c20f-4a61-b287-940c22d2711c_rc.png"  width=678pt>
-
+<center>
+    <img src="https://image.ddot.cc/202311/fdcfb1a1-c20f-4a61-b287-940c22d2711c_rc.png"  width=678pt>
+</center>
 
 ## 局限性 
 适用场景：

diff --git a/_posts/2022/2022-11-17-Okapi-BM25.md b/_posts/2022/2022-11-17-Okapi-BM25.md
@@ -87,12 +87,12 @@ $$\text{TF}^{bm25}(t, d) = \frac{x \cdot (k+1)}{x + k(1 - b(1 - \frac{\text{DL}}
 ## IDF 上的约束
 这一项说是拓展了二元独立模型的得分函数，具体推理可以参考[博客](https://www.cnblogs.com/bentuwuying/p/6730891.html)。
 
-$$
 \begin{aligned}
 \text{IDF}^{bm25}(t) &= \log \frac{N - \text{DF}(t) + 0.5}{\text{DF}(t) + 0.5} \\
 &= \log (\frac{N+1}{\text{DF}(t)+0.5} - 1)
 \end{aligned}
-$$
+
+<img src="https://latex.codecogs.com/svg.image?\begin{aligned}\text{IDF}^{bm25}(t)&=\log\frac{N-\text{DF}(t)&plus;0.5}{\text{DF}(t)&plus;0.5}\\&=\log(\frac{N&plus;1}{\text{DF}(t)&plus;0.5}-1)\end{aligned}">
 
 
 同样， +0.5 是为了平滑，且“分子上凑个数”，满足：当 DF(t)=N 时，这一项为 0。整体上跟 TF-IDF 的差距不大。 
@@ -101,9 +101,9 @@ $$
 ## 神奇的数字 25 
 据说是指第 25 次迭代调参才获得最终的算法，参考 https://opensourceconnections.com/blog/2015/10/16/bm25-the-next-generation-of-lucene-relevation/
 
-
-<img src="https://image.ddot.cc/202311/fdcfb1a1-c20f-4a61-b287-940c22d2711c_rc.png"  width=678pt>
-
+<center>
+    <img src="https://image.ddot.cc/202311/fdcfb1a1-c20f-4a61-b287-940c22d2711c_rc.png"  width=678pt>
+</center>
 
 ## 局限性 
 适用场景：