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37 Questions

Is there a difference between transform and transformation?

What is $\inf\emptyset$ and $\sup\emptyset$? [duplicate]

Linear Transformations on Infinite Dimensional Vector Spaces

What exacty is the role played by Jacobian or Wronskian?

A Hausdorff space which is not completely regular

Does the integral $\int_{a}^{b}\frac{dx}{\sqrt{(x-a)(x-b)}}$ exist?

Solving the following Volterra Integral Equation?

Association of PDE's with Integral Equations?

How to construct examples of functions in the Spaces of type $\mathcal{S}$

If a function is both upper and lower semicontinuous, does it have to be continuous?

What is $\int x! $ $ dx$?

If a linear transformation $T$ is nilpotent, show that $\alpha_0+\alpha_1T+…+\alpha_kT^k$ is invertible

Laplace transform of functions related to type $\mathcal{S}$, and the relation to entire functions

Apply affine heat equation on images

Existence of the integral $\int_{0}^{\pi}\frac{\sin (x+\sqrt x)}{\cos(x-\sqrt x)} dx$

What exactly is integration?

Doubts related to Differential Operator of Infinite order

A function $f:\mathbb{R}\to\mathbb{R}$ such that $f^{-1}(x)=\frac{1}{f(x)}$

Numerical solution of the Volterra equation with an exponential factor

Correcting the MATLAB code

Evaluating the integral : $\int_{1}^{2}\frac{x+\tan x}{x+\sin x}dx$

Verifying solution of Heat Equation

Doubts on Differentiation in $\mathbb{R}^p$

Solving a PDE geometrically

Does the following relation hold?

Show that $0!=1$ [duplicate]

Got stuck in the following Sturm-Liouville problems

To verify Lipschitz continuity of the given function $f$.

Permutation matrices

Revising n dimensional calculus