(Q946860)

English

rectangular function

function whose graph is 0, then 1, then 0 again, in an almost-everywhere continuous way

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\operatorname {rect} (t)={\begin{cases}0&{\text{if }}|t|>{\frac {1}{2}}\\[3pt]{\frac {1}{2}}&{\text{if }}|t|={\frac {1}{2}}\\[3pt]1&{\text{if }}|t|<{\frac {1}{2}}\end{cases}}

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\operatorname {rect} (t)={\begin{cases}1&{\text{if }}|t|<{\frac {1}{2}}\\0&{\text{otherwise}}\end{cases}}

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\operatorname {rect} (t)={\begin{cases}1&{\text{if }}|t|\leq {\frac {1}{2}}\\0&{\text{otherwise}}\end{cases}}

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28 October 2013

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