我在R Markdown中对齐方程式时遇到了一些困难(即将等式放在页面的最左侧,并对齐后续行)。我一般都认为我想在amsmath包中设置[fleqn]选项以保持对齐所有方程式,但是将以下内容放在我的YAML标题中会出错
'包amsmath的选项冲突'
---
author: "ME"
date: "February 26, 2015"
header-includes:
- \usepackage[fleqn]{amsmath}
output: pdf_document
---
我的文件中的一部分:
$$
\begin{aligned}
Bias(\hat{\theta}) &= E(\hat{\theta}) - \theta \\
&= E(2 \bar{X} -1) - \theta \\
&= \frac{2}{n}\sum_{i=1}^n E(X_i) -1 -\theta \\
&= 2E(X) - 1 - \theta \\
&= 2 \cdot \frac{\theta+1}{2} - 1 - \theta \\
&= 0 \\
\end{aligned}
$$
由于
答案 0 :(得分:9)
尝试使用$...$
代替$$...$$
。
如果Rmarkdown中的$$...$$
默认为居中对齐
答案 1 :(得分:4)
此问题已在此处提出:R Markdown Math Equation Allignment
以下内容适用于我:
$\begin{aligned}
Bias(\hat{\theta}) &= E(\hat{\theta}) - \theta \\
&= E(2 \bar{X} -1) - \theta \\
&= \frac{2}{n}\sum_{i=1}^n E(X_i) -1 -\theta \\
&= 2E(X) - 1 - \theta \\
&= 2 \cdot \frac{\theta+1}{2} - 1 - \theta \\
&= 0 \\
\end{aligned}$
答案 2 :(得分:0)
$ L(x_{1}, x_{2}, ..., x_{n}| \mu) = \mu * (1-\mu) $
$log (\ L(x_{1}, x_{2}, ..., x_{n}| \mu)) = h * log(\mu) + (m-h) * log(1-\mu) $
$\frac{\partial log(\ L(x_{1}, x_{2}, ..., x_{n}| \mu)}{\partial(\mu)} = \frac{h}{\mu} + \frac{h-m}{1-\mu} $
#### We set this to zero to find the value that maximizes the likelihood
$\frac{h}{\mu} + \frac{h-m}{1-\mu} = 0 $
$h = m * \mu $
$\mu = \frac{h}{m} $