general
Example of using Delta Method
Let $\hat p$ be the proportion of successes in $n$ independent Bernoulli trials each having probability $p$ of success. (a) Compute the expectation of $\h...
Apr 09, 2026
Archive: General
general
Generators of permutation group
I want to proof that $S_n$ is generated by the set of transpositions ${(1,2),(1,3), \ldots , (1,n)}$ using that $(k,j) = (1,k)(1,j)(1,j)$ but I don't...
Apr 09, 2026
general
What is a diffeomorphism?
I'm looking for a simple (i.e. as just a rough outline with little differential geometry) definition/ explanation of what a diffeomorphism is. I trie...
Apr 09, 2026
general
Calculating average without knowing number of elements
I would like to calculate the average of a a set of numbers without knowing the sum of the set. In other words, I want to calculate the average with knowi...
Apr 09, 2026
![Snake eating itself [closed]](https://news.conceivablytech.com/uploads/snake-eating-itself-closed_720.jpg)
general
Snake eating itself [closed]
I came across this video of a snake eating itself. My brain could not comprehend this thought at all, hence asking this (sorry if this is off-topic). My q...
Apr 09, 2026
![Is $[a,b]$ a finite or an infinite set?](https://news.conceivablytech.com/uploads/is-a-b-a-finite-or-an-infinite-set_720.jpg)
general
Is $[a,b]$ a finite or an infinite set?
Consider any $a,b\in\mathbb{R}$ such that $a<b$. Question: Is $[a,b]$ a finite set or not? The question popped up in my mind while I was working with t...
Apr 09, 2026
general
Two dimensional integral involving Dirac delta
It seems to me that $$ \int_{-\infty}^\infty \int_{-\infty}^{\infty} \delta(x^2 + y^2 - R^2) dx dy $$ should evaluate to $2\pi R$, the perimeter of a circ...
Apr 09, 2026
general
transformation of integral from 0 to infinity to 0 to 1
How do I transform the integral $$\int_0^\infty e^{-x^2} dx$$ from 0 to $\infty$ to o to 1 and. I have to devise a monte carlo algorithm to solve this fur...
Apr 09, 2026
general
what is the meaning of 2 in group SO(2)?
I am a beginner in group theory. Now reading a note of Lie group. I am confusing about the dimension of the group and the notation. For example, from my u...
Apr 09, 2026
general
What's umbral calculus about?
I've read Wikipedia about it and it says: In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between see...
Apr 09, 2026
