Difference between revisions of "Unit step function"
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Latest revision as of 22:08, 26 August 2017
The unit step function $U \colon \mathbb{R} \rightarrow \left\{ 0, \dfrac{1}{2}, 1 \right\}$ is defined by $$U(t)=\left\{ \begin{array}{ll} 0 &, \quad t<0 \\ \dfrac{1}{2}&, \quad t=0 \\ 1 &, \quad t>0. \end{array} \right.$$
Properties
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $29.1.3$
