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Applications of mathematics to any field inside or outside mathematics
32
votes
Real-world applications of mathematics, by arxiv subject area?
It has also in recent years found applications in physics, at least in part via its relationship to quantum theory. … Applications include searches for least expensive plane tickets, optimizing garbage pickup routes. …
61
votes
Accepted
What practical applications does set theory have?
The purpose of set theory is not practical application in the same way that, for example, Fourier analysis has practical applications. …
17
votes
Accepted
Robotics, Cryptography, and Genetics applications of Grothendieck's work?
Here is a guess: first, "Grothendieck's work" is being interpreted as "algebraic geometry," so the real question is what applications of algebraic geometry there are in genetics, cryptography, and robotics …
28
votes
Applications of mathematics
A particularly striking application to physics and chemistry is explained in Singer's book Linearity, symmetry, and prediction in the hydrogen atom. The practical problem, in the large, is easy to sta …
11
votes
Nice applications of the spectral theorem?
spectral graph theory: the adjacency matrix and Laplacian of an undirected graph are both symmetric, hence both have real eigenvalues and an orthonormal basis of eigenvectors, and this is important to many applications …
13
votes
Applications of the Chinese remainder theorem
CRT combined with Dirichlet's theorem allows you to prove the existence of infinitely many primes satisfying any system of congruences that has a solution; I sketched a proof that this implies that th …