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Results tagged with applications
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user 290
Applications of mathematics to any field inside or outside mathematics
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 …
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 …
- 118k
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 …
- 118k
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. …
- 118k
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. …
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 …