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A small six-pointed star set between two functions, combining them by sliding one across the other.
Also known as: Convolution, Star operator, Asterisk operator
Convolution multiplies two functions after flipping and sliding one past the other, and it is what a filter does to a signal. Its importance is that the Fourier transform turns it into ordinary multiplication, which is why the asterisk appears wherever transforms do.
Denotes the convolution of two functions: the integral of their product as one is shifted across the other.
Contexts: Mathematics
Becomes ordinary pointwise multiplication under the Fourier transform, which is the convolution theorem and the reason the operation is central to signal processing.
Contexts: Mathematics
Uses the same asterisk glyph as multiplication in programming and as the complex conjugate in physics; context alone separates them.
Contexts: Mathematics
A small six-pointed star of three crossed strokes, set between two function names at mid-height.