Jun 9, 2016 · I am reading "space filling curve" by Hans Sagan. On page 17, on equation (2.3.11) in the equation, a function sgn is used.

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$$\textrm{sgn}(\sigma) = (-1)^{\sum_{0 \le i<j<n} (\sigma_i>\sigma_j)}$$ I.e., the sign is negative iff there are an odd number of misordered pairs of indices. This algorithm also works if we're …

sgn函数 阶跃函数，数学上的符号函数或者计算机语言中的返回函数。 Sgn 函数 返回一个 Variant (Integer)，指出参数的正负号。

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Sep 17, 2017 · Considering derivative of discontinuity as del(x). Derivative of sgn(x) would be 2*del(x), as there exist a discontinuity at x=0 and a change in step by 2 units (from -1 to +1). …

Mar 11, 2021 · The signum function is defined as a piecewise function: $\\operatorname{sgn} (x)=\\left\\{ \\begin{matrix} 1,x&gt;0 \\\\ 0,x=0 \\\\ -1,x&lt;0 \\\\ \\end{matrix ...

Echoing @Omnonmnomnm's point: the notion of "integral" in Fourier transforms very often needs to be an "extension by continuity" (in a topology that may vary, depending on context), so is in …

如果利用卷积定理容易看出这个问题等价于去计算 F(w)=sgn(w)*1 ，通常理解下常数与函数卷积将得到原函数的无穷积分值结果为常数函数（此处应理解为柯西主值）故结果为零对应的时域也 …

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