Are the eigenvectors and eigenvalues of a tensor covariant?
A lot of online searching hasn't turned up a direct answer to this question. Evidently the eigenvalues and eigenvectors of a tensor are unique (up to...
Apr 22, 2026 2 VIEWS
Topic: General
5104 Articles 
Plot functions from $\mathbb R^2$ to $\mathbb R^2$
Suppose there is a function $f:\mathbb R^2 \to \mathbb R^2$ such that $f(x,y)=(x',y')$. (For example: $f(x,y)=(x+y,y+2)$). Can we draw a graph o...
Apr 22, 2026 1 VIEWS
Integrals involving exponential functions and the gamma function [duplicate]
I'm having trouble evaluating this integral $$\int_0^\infty {e^{-ax^2}} \,dx $$ My guess is that it would evaluate into something like $$\int_0^\inft...
Apr 22, 2026 1 VIEWS
Putnam 2015 and Ravi Substitution
Let $T$ be the set of all triples $(a,b,c)$ of positive integers for which there exist triangles with side lengths $a,b,c$. Express $$\sum_{(a,b,c)\in T}\...
Apr 22, 2026 1 VIEWS
Frenet-Serret Formulas for Arc Length and Regular Parametrization
Frenet-Serret formulas for arc length parametrization are in matrix form where $\mathbf{ \widetilde T}(s)$, $\mathbf{ \widetilde N}(s)$, $\mathbf{ \wideti...
Apr 22, 2026 1 VIEWS
Integral of $\sin (x^3)dx$
$$\int \sin (x^3)dx$$ I have tried some substitutions, but I haven't reached the goal... Can you help me?
Apr 22, 2026 1 VIEWS
Integrate $e^{-x}\cos x$ with respect to $x$ by complexifying the integral?
I am supposed to find the integral by complexifying it and noticing that $e^{-x}\cos x$ is the real part of $e^{(-1+i)x}$. However I don't see how yo...
Apr 22, 2026 1 VIEWS
How to find mean and median from histogram
Solution for finding mean : The problem faced when i saw a video to evaluate the mean https://www.youtube.com/watch?v=vMrc6dP8pCo According to the video, ...
Apr 22, 2026 1 VIEWS
Is the area of a line = 1?
I tried to teach my son multiplication using a rectangle. (e.g. 3cm * 4cm = 12cm^2). Now I have 12 little squares. But how do I explain where the "little ...
Apr 22, 2026 1 VIEWS
What Derivative Rule does Trig Substitution match up with?
I was thinking about the Integral Rules and trying to understand why they work. It seems to me like all Integral Rules should have a Derivative Rule count...
Apr 22, 2026 1 VIEWS
Difference between formula and algorithm
What is the difference between the terms formula and algorithm in mathematics? I haven't seen the definition of formula anywhere. I know that algorit...
Apr 22, 2026 1 VIEWS
Questions tagged [limits]
Q&A for people studying math at any level and professionals in related fields
Apr 22, 2026 1 VIEWS