definition - What is Convolution? - Mathematics Stack Exchange
Sep 6, 2015 · 3 The definition of convolution is known as the integral of the product of two functions $$ (f*g) (t)\int_ {-\infty}^ {\infty} f (t -\tau)g (\tau)\,\mathrm d\tau$$ But what does the product of the …
Meaning of convolution? - Mathematics Stack Exchange
Oct 26, 2010 · I am currently learning about the concept of convolution between two functions in my university course. The course notes are vague about what convolution is, so I was wondering if …
What is convolution, how does it relate to inner product?
Oct 25, 2022 · My final question is: what is the intuition behind convolution? what is its relation with the inner product? I would appreciate it if you include the examples I gave above and correct me if I am …
analysis - History of convolution - Mathematics Stack Exchange
Jul 4, 2015 · It the operation convolution (I think) in analysis (perhaps, in other branch of mathematics as well) is like one of the most useful operation (perhaps after the four fundamental operations addition, …
Why are different operations in mathematics referred to as …
Nov 27, 2024 · Convolution appears in many mathematical contexts, such as signal processing, probability, and harmonic analysis. Each context seems to involve slightly different formulas and …
What is the convolution of a function $f$ with a delta function $\delta$?
Sep 12, 2024 · I am merely looking for the result of the convolution of a function and a delta function. I know there is some sort of identity but I can't seem to find it. $\int_ {-\infty}^ {\infty} f (u-x)\delta...
Definition of Convolution - Mathematics Stack Exchange
Aug 2, 2023 · I am currently studying calculus, but I am stuck with the definition of convolution in terms of constructing the mean of a function. Suppose we have two functions, $f ...
Definition of convolution? - Mathematics Stack Exchange
I am aware that such "series" would never converge (in the traditional sense) unless they were countably supported, but oddly enough this helps me understand the definition for (continuous) …
Can someone intuitively explain what the convolution integral is?
Lowercase t-like symbol is a greek letter "tau". Here it represents an integration (dummy) variable, which "runs" from lower integration limit, "0", to upper integration limit, "t". So, the convolution is a function, …
Proving commutativity of convolution $ (f \ast g) (x) = (g \ast f) (x)$
But we can still find valid Laplace transforms of f (t) = t and g (t) = (t^2). If we multiply their Laplace transforms, and then inverse Laplace transform the result, shouldn't the result be a convolution of f …