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  1. 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 …

  2. 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 …

  3. What is convolution, how does it relate to inner product?

    Oct 25, 2022 · However, in the original convolution formula, the sign of t t is inversed (what does this sign inversing mean?). My final question is: what is the intuition behind convolution? what …

  4. What is the convolution of a function $f$ with a delta function …

    Sep 12, 2024 · Explore related questions convolution dirac-delta See similar questions with these tags.

  5. 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 ...

  6. 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 …

  7. 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 …

  8. real analysis - On the closedness of $L^2$ under convolution ...

    Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on $L^2$, all we need find is an …

  9. 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 …

  10. How to "easily" calculate the limits and sections of convolution …

    Dec 14, 2024 · 0 We started recently talking in my signal processing class about the convolution integral, and in theory, it sounds easy enough but now after a few exercises I realize I either …