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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Software for Exportable NURBS surfaces from Parametric Equations $x=f(u, v), y=f(u, v), z=f(u, v)$ (Must be Suitable for Engineering)
The title pretty much says it all. Is there any software out there that lets you input 3D parametric equations without having to go to the trouble of writing a bunch of code and then lets you export ...
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How to generalize curvature to n dimensions parameterized by time instead of arc length?
I am a novice in mathematics in general and even more so in differential geometry. Currently, I am looking to generalize the Frenet-Serret formulas to $n$ dimensions. At the moment, I am interested in ...
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How to solve an ODE where the rate is directly proportional to two amounts?
Two chemicals in solution react together to form a compound: one unit of compound is formed from $a$ units of chemical $A$ and $b$ units of chemical $B$, with $a + b = 1$. Assume the concentration ...
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Applications of Linear Programming to pure mathematics
This semester I'm taking a course in Linear Programming. While the topic is very interesting, all the applications I can find about this topic seem to be outside of mathematics. What are some ...
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What is the Equation for the Batista-Costa Minimal Surface?
The Batista-Costa surface is a triply periodic minimal surface. Three photos of part of the same surface are below:
where the first two were taken form the research paper: The New Boundaries of 3D-...
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About vector spaces over finite fields [closed]
I've been dabbling with matrix computations in finite fields, and I've stumbled upon a pattern that I can't understand. Perhaps someone here could shed some light on it?
So, here's what's happening: ...
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Is torsion of a multivariate curve defined in n-dimensional space?
I understand that torsion is a concept specific to three-dimensional spaces. Despite searching on Google, I've struggled to find how to extend the concept of torsion to an n-dimensional space.
Is it ...
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Query regarding approach to solve a given differential equation.
There's a equation
$$N(t) = N(t)\frac{P(t,z)}{B}-C\frac{d(P(t,z))}{dz}$$
$$N(t) = A\frac{dP(t,z)}{dt}$$
Constants:
B,
C=3.9878*10⁻⁷,
$A=0.11941$,
Variables:
N(t) is a function of t and is defined at a ...
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In what situations would using means other than arithmetic/geometric/harmonic make sense?
I understand some use cases for arithmetic (standard), geometric (average growth of two successive discrete growth rates), harmonic (average velocity when consecutively traveling the same distance ...
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What does it mean to divide an area by a distance?
Let's say for example we divide 2m^2 by 1m, the result is 2m. What is the physical interpretation of this? I mean, dividing an area by a distance makes no sense to me.
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Applications of highly oscillatory integrals
I was reading a series of articles on numerical integration of highly oscillatory functions, e.g.,
S. Olver, Numerical approximation of highly oscillatory integrals
S. Xiang, H. Wang, Fast ...
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What are the possible applications in maths and physics of vector fields along smooth maps?
I am currently working on a problem related to singularities of mappings between manifolds with metrics and the interplay of metric singularities with mapping singularities. Given a smooth map $F:M\...
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A real-world example for a centralizer property
Context: I'm re-studying basic group theory and looking for "real-world" examples/puzzles that can be translated into abstract group theoretic statements. By real-world I mean not something ...
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Using the trapezoidal rule for the Maxwell-Boltzman function
Background
I approached my physics professor with question 1 from this LibreTexts resource. (at the bottom of the page), to better understand the material via self-study.
Question
Using the Maxwell-...
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Application of threshold functions from random graph theory
I would like to know if anyone knows about some applications/models where those threshold functions from random graph theory, defined by
$$
\lim_{n \to \infty} P(\mathbb{G}_{n,p} \in \mathcal{F}) =
...
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