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 …
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 $\\alpha^n+\\beta^n$ in simpler forms but not given any ...
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 …
Preimage of a connected space in its covering space
Dec 10, 2025 · Are you not assuming here that $E=B\times \ {1,\ldots,k\}$? In general, for covering spaces you only have this property locally. What is exercise 53.2?
Are there different conventions for 'rounding to even'?
Aug 27, 2024 · In my high school chemistry class, my teacher insists that the "round to even" rule means rounding to the nearest even number whenever the next digit is 5, regardless of any …
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...
What is the minimum and maximum number of eigenvectors?
May 14, 2015 · I am given the eigenvalues of a square, 8x8, matrix. They are all non-zero. I have determined that the matrix is diagonalizable and has an inverse. In one part of the problem, I am …
Geometry notation: what does $m\angle ABC$ mean?
Jun 10, 2017 · ∠ABC refers to the physical angle itself while m∠ABC refers to its measure. There isn't any difference between these two and it is absolutely correct to use any of them...Some people just …
What is the formula for the difference between CI and SI?
If principal, time and rate are given how,do I find the difference between Compound interest and Simple Interest? p=12,000 n=1 and a 1/2 yrs. r=10% per year Formulae that I know: CI - SI for 2 y...
Hom is a left-exact functor - Mathematics Stack Exchange
This is supposed to follow from the fact that $\text {Hom} (-, A)$ preserves limits, but I am not sure about the details.