Alternative Equation Formats

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MathML

\begin{array}{rcl} ϕ_{0} & = & α_{1} \\ ϕ_{1} & = & γ_{1} ϕ_{0} + α_{2} \\ \dots \\ ϕ_{n - 1} & = & γ_{1} ϕ_{n - 2} + γ_{2} ϕ_{n - 3} + \dots + γ_{n - 1} ϕ_{0} + α_{n} \\ ϕ_{k} & = & γ_{1} ϕ_{k - 1} + γ_{2} ϕ_{k - 2} + \dots + γ_{n} ϕ_{k - n} for k \geq n \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} {\phi }_{0} & =& {\alpha }_{1} \\ {\phi }_{1} & =& {\gamma }_{1}{\phi }_{0}+{\alpha }_{2} \\ \cdots \\ {\phi }_{n-1} & =& {\gamma }_{1}{\phi }_{n-2}+ {\gamma }_{2}{\phi }_{n-3}+\cdots +{\gamma }_{n-1}{\phi }_{0} +{\alpha }_{n} \\ {\phi }_{k} & =& {\gamma }_{1}{\phi }_{k-1}+ {\gamma }_{2}{\phi }_{k-2}+\cdots +{\gamma }_{n}{\phi }_{k-n} \text { for }k \ge n \nonumber \end{eqnarray*}