“step function”的概念、定义、翻译、参考文献-科学参考

step function

Mathematics

Electronics and Electrical Engineering

单词	step function
释义	step function Mathematics A step function is a linear combination of indicator functions of bounded intervals. That is a function of the form $φ (x) = \sum_{k = 1}^{n} c_{k} 1_{I_{k}} (x)$ where the I_k are bounded intervals. This step function can then be assigned (in a well-defined manner) the integral $\int_{- \infty}^{\infty} φ (x) d x = \sum_{k = 1}^{n} c_{k} l (I_{k})$ where l(I) denotes the length of the interval I. Consequently step functions are a natural starting point for theorems of integration. Electronics and Electrical Engineering See unit step function.
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