what exactly is an isomorphism? - Mathematics Stack Exchange
Aug 4, 2021 · Whenever a problem or question of isomorphism comes up I am clueless as to what they mean. From my understanding an isomorphism is in terms of graph theory where it is the same thing …
All ways to express a given positive integer as the sum of three fifth ...
Dec 25, 2025 · If N is Cong to 4,5,6,7 mod 11 then N cant be written as sum of three fifth powers over Z. If N is Cong to 5,6 mod 11 then N can't be written as sum of four Fifth powers over Z. So more than …
geometry - Explain why a line can never intersect a plane in exactly ...
Jun 16, 2019 · Common sense approach: take a straight piece of paper, assume it represents a plane. Take a pencil, assume it represents a line. Since the line is not "curved", it can intersect with the …
Geometry notation: what does $m\\angle ABC$ mean?
@Hilbert: As blf points out, ∠ABC ∠ A B C denotes the angle, itself, while m∠ABC m ∠ A B C is its measure. For example, suppose we have an equilateral triangle with vertices A, B, C. A, B, C Then …
Solution to General Linear SDE - Mathematics Stack Exchange
May 17, 2016 · In order to find a solution for the general linear SDE
Notations involving squiggly lines over horizontal lines
Sep 28, 2011 · Is there a symbol for "homeomorphic to"? I looked on Wikipedia, but it doesn't seem to mention one? Also, for isomorphism, is the symbol a squiggly line over an equals sign? What is the …
Why do equilateral triangles relate to cubics
Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: What this post s...
Is the product of all primes less than $n$ greater than $n$?
Mar 16, 2021 · Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant …
quadratics - Newton's Identity - Mathematics Stack Exchange
Jul 10, 2021 · While reading about quadratic equations, I came across Newton's Identity formula which said we can express αn +βn α n + β n in simpler forms but not given any explanation. They wrote Sn …
Produce an explicit bijection between rationals and naturals
Oct 24, 2010 · I remember my professor in college challenging me with this question, which I failed to answer satisfactorily: I know there exists a bijection between the rational numbers and the natural …