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==== Planck-taper window ====
[[File:Window function and frequency response - Planck-taper (epsilon = 0.
The so-called "Planck-taper" window is a [[bump function]] that has been widely used<ref name=Tu/> in the theory of [[partitions of unity]] in [[manifolds]]. It is [[Smooth function|smooth]] (a <math>C^\infty</math> function) everywhere, but is exactly zero outside of a compact region, exactly one over an interval within that region, and varies smoothly and monotonically between those limits. Its use as a window function in signal processing was first suggested in the context of [[gravitational-wave astronomy]], inspired by the [[Planck's law|Planck distribution]].<ref name=McKechan/> It is defined as a [[piecewise]] function''':'''
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