Meaning of convolution? - Mathematics Stack Exchange
2010年10月26日 · 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 …
definition - What is Convolution? - Mathematics Stack Exchange
2015年9月6日 · 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 …
What is convolution, how does it relate to inner product?
2022年10月25日 · 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 …
analysis - History of convolution - Mathematics Stack Exchange
2015年7月4日 · 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 …
Definition of Convolution - Mathematics Stack Exchange
2023年8月2日 · 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 ...
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, …
What is the convolution of a function $f$ with a delta function $\delta$?
2024年9月12日 · Explore related questions convolution dirac-delta See similar questions with these tags.
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 …
Correct definition of convolution of distributions?
2014年12月26日 · Convolution corresponds via Fourier transform to pointwise multiplication. You can multiply a tempered distribution by a test function and get a tempered distribution, but in general you …
Proof of convolution theorem for Laplace transform
2019年11月5日 · Proof of convolution theorem for Laplace transform Ask Question Asked 6 years, 2 months ago Modified 6 years, 1 month ago