Alternative Equation Formats

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MathML

\begin{aligned} l (μ, σ^{2}; y) & = \sum_{i = 1}^{n} - \frac{1}{2} (\log {2 π} + \frac{(y_{i} - μ)^{2}}{σ^{2}} + \log {σ^{2}}) \\ = - \frac{1}{2} (n \log {2 π} + n \log {σ^{2}} + \sum_{i = 1}^{n} {(y_{i} - μ)}^{2} / σ^{2}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} l(\mu ,\sigma ^2;\mb{y}) & = \sum _{i=1}^ n -\frac12\left( \log \{ 2\pi \} + \frac{(y_ i-\mu )^2}{\sigma ^2} + \log \{ \sigma ^2\} \right) \\ & = -\frac12 \left( n \log \{ 2\pi \} + n\log \{ \sigma ^2\} + \sum _{i=1}^ n\left(y_ i - \mu \right)^2 / \sigma ^2 \right) \end{align*}