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$\\c=\left ( f*g \right )\left ( t \right )= \int_{0}^{t}f\left ( \tau \right ) g\left ( t-\tau \right )d\tau \\\\\textup{where:} \\\\c\,\,\,\,\,\,\,\textup{convolution output function} \\f\,\,\,\,\,\,\textup{original input function} \\g\,\,\,\,\,\,\textup{function that is shifted over the input function} \\t\,\,\,\,\,\,\,\textup{variable representing range of shifting} \\\tau \,\,\,\,\,\,\textup{shifting against t}$
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