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functional analysis - The resolvent set for unbounded operators ...
Jul 30, 2025 · I am interested in the resolvent set (and spectrum) of unbounded operators. In the case of bounded linear operators one defines the resolvent set to be the collection of $\\lambda \\in …
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...
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 …
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 …
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 ...
Implication Logic Truth Table Explained - Mathematics Stack Exchange
Sep 19, 2021 · The question that has bothered me for a while has been answered and closed here (Implication in mathematics - How can A imply B when A is False?) and probably many other posts. …
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 …
Hom is a left-exact functor - Mathematics Stack Exchange
Added: As witnessed by the argument above, left exactness of Hom is essentially the definition of left exactness in the abelian category of R -modules. As the comments try to point out, the importance of …
Compound Interest Formula adding annual contributions
Mar 15, 2016 · I'd like to know the compound interest formula for the following scenario: P = Initial Amount i = yearly interest rate A = yearly contribution or deposit added. n = the deposits will be …