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38 Questions

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

Is there a difference between transform and transformation?

What exacty is the role played by Jacobian or Wronskian?

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

A Hausdorff space which is not completely regular

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

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

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

Solving a PDE geometrically

Verifying solution of Heat Equation

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

Reference request for a particular type of evolutionary problems

Doubt about inequalities

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

Solving the following Volterra Integral Equation?

Show that $0!=1$ [duplicate]

To show that a functional is not lower semicontinuous

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

Possible existence of weight function $\rho (t)$

What exactly is integration?

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

Doubts related to Differential Operator of Infinite order

Constructing a Differential Structure

How to show that $1$-laplacian $\Delta_1$ is elliptic?

Revising n dimensional calculus

Numerical solution of the Volterra equation with an exponential factor

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

Permutation matrices

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

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