Questions tagged [applications]
The [application] tag is meant for questions about applications of mathematical concepts and theorems to a more practical use (e.g. real world usage, less-abstract mathematics, etc.)
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What are some applications of Chebotarev Density Theorem?
Let $L/K$ be a Galois extension of number fields and let $\mathcal{C}$ be a conjugacy class in $Gal(L/K)$. Let $\mathbb{P}(K)$ be the set of all prime ideals in $K$ and let $\left(\frac{L/K}{\mathfrak{...
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What are some applications of Mathematics to the medical field?
This semester I'm charged with finding a senior capstone project for next year. I've given it a lot of thought and can't seem to find any interesting ideas that are appropriate for my level of ...
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Why does the Elo rating system work?
The Elo rating system is used to rank players in games such as chess. I can find plenty of explanations online of how to compute someone's Elo rating, how to actually crunch the numbers in practice, ...
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StarCraft II: Ladder math
At the Blizzcon 2010, StarCraft II multiplayer panel, this stuff was supposed to explain the ladder matchmaking system. I look at this and go eh? what!?
Is any of this real? or are they just messing ...
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What are the most prominent uses of transfinite induction outside of set theory?
What are the most prominent uses of transfinite induction in fields of mathematics other than set theory?
(Was it used in Cantor's investigations of trigonometric series?)
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"Casual" mathematical facts with practical consequences
Some mathematical facts -be them approximations or not- can be described as coincidences, without any deeper meaning in themselves, but leading to relevant practical consequences. I was thinking in ...
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How does linear algebra help with computer science?
I'm a Computer Science student. I've just completed a linear algebra course. I got 75 points out of 100 points on the final exam. I know linear algebra well. As a programmer, I'm having a difficult ...
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Real world uses of homotopy theory
I covered homotopy theory in a recent maths course. However I was never presented with any reasons as to why (or even if) it is useful.
Is there any good examples of its use outside academia?
user126
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What do physicists mean when they say something is "not a vector"?
It's common for physicists to say that not every 3-tuple of real numbers is a vector:
“Well, isn’t torque just a vector?” It does turn out to be a vector, but we do not know that right away without ...
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Applications of Gröbner bases
I would like to present an application of Gröbner bases. The audience is a class of first year graduate students who are taking first year algebra.
Does anyone have suggestions on a specific ...
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What is the purpose of K-Theory?
I have recognized that there is a theory called K-Theory in mathematics is used also for applications in mathematical physics. There is existing algebraic K-Theory and topological K-Theory. Are ...
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Real life applications of general vector spaces
Students familiar with Euclidean space find the introduction of general vectors spaces pretty boring and abstract particularly when describing vector spaces such as set of polynomials or set of ...
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Applications for Homology
The Question: Are there any ways that "applied" mathematicians can use Homology theory? Have you seen any good applications of it to the "real world" either directly or indirectly?
Why do I care? ...
user2959
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What is the real life use of hyperbola? [closed]
The point of this question is to compile a list of applications of hyperbola because a lot of people are unknown to it and asks it frequently.
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Applications of the Mean Value Theorem
What are some interesting applications of the Mean Value Theorem for derivatives? Both the 'extended' or 'non-extended' versions as seen here are of interest.
So far I've seen some trivial ...
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