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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Computational framing of topological counterexamples [duplicate]
Bit of a soft question here, but bear with me:
Topology is infamous as a source of weird counterexamples. Pretty much anyone who has been through a traditional introductory topology course can recall ...
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Where can I find real life problems for high school students involving solving triangles?
I have been searching for real-life problems or word problems that involve trigonometry to solve triangles, specifically employing the law of sine and cosine, suitable for high school students. The ...
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Minimize travel time of a group of people with a motorbike
Problem: A group of $n$ people ($n\geq2$) want to travel from A to B but they can only either walk or use a motorbike (fit 2 people) [note that there is exactly $1$ motorbike for them to use]. Given ...
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Factorial of a matrix: what could be the use of it?
Recently on this site, the question was raised how we might define the factorial operation $\mathsf{A}!$ on a square matrix $\mathsf{A}$. The answer, perhaps unsurprisingly, involves the Gamma ...
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Can you help me for prove this Elzaki transform? [closed]
a) proof
$$ E[tf'(t)]=v^2 \frac{d}{dv} [\frac{T(v)}{v}-vf(0)]-v[\frac{T(v)}{v}-vf(0)]$$
Using Elzaki transform
$$E[tf'(t)]=v^2 \frac{d}{dv} [E(f'(t))]-vE(f'(t)) $$
using$$ E[f'(t)]=\frac{T(v)}{v}-vf(...
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Applications of the Hermite's criterion?
I found this statement on permutation polynomials and I was wondering in which domain we can find applications and what is its aim.
Here is the criterion : «If $q=p^n$ with $p$ a prime number then $f\...
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Probability that random variables with multinomial distribution have a common divisor greater than 1
Consider an election in which $k$ candidates compete: Let $N_{i}$ denote the number of votes for candidate $i$ in the election.
How can we reasonably estimate the probability that the number of votes ...
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If $\frac{p}{p+q}$ is a negative real number, what can I deduce about complex $p$ and $q$? [closed]
Let $p, q$ be complex numbers with non-negative real parts and arbitrary imaginary parts. If $\frac{p}{p+q}$ is a negative real number, what can I deduce about $p$ and $q$?
Motivation: This question ...
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How can I write the radius equation for the disk method if the axis of revolution intersects the area between the curves
A specific example would be revolving the area between $x^2-5$ and $5x$ below the $x$-axis about $y=-2$
PS - in general, I am assuming that revolving about any other horizontal or vertical line ...
CommunityBot
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Critical Simplices of a Discrete Gradient Vector Field
I just started learning about discrete Morse Theory and I got stuck on a corollary that in the book I'm reading is described as simply following from a lemma.
Denote by $P$ an almost linear metric ...
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pow and its relative error
Investigating the floating-point implementation of the $\operatorname{pow}(x,b)=x^b$ with $x,b\in\Bbb R$ in some library implementations, I found that some pow ...
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Apps for practicing math (all levels)
I am looking for an app that I can use to PROVIDE me with math problems for practice and to stay fresh on various subjects in mathematics. This includes all levels of math (from low grade school to ...
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How to formally justify fudge factor in this difference equation solution?
In Exercise $11$ from Section $3.3$ of Differential Equations With Boundary Value Problems by Polking, Boggess, and Arnold, we first develop the difference equation $P[n + 1] = (1 + \frac{I}{m})P[n],\ ...
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Standard definition of a game in game theory
Sorry for my naive question, but at the moment I can't quite figure it out.
I'm consulting various documents on game theory in order to get the standard definition of what a game (and an associated ...
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Consider a man who travelled exactly 2 km in two hours. Is there a one-hour interval when he traveled exactly 1 km?
Question :
Consider a man who travelled exactly 2 km in two hours.
Is there a one-hour interval when he traveled exactly 1 km?
Can we make a mathematical argument?
I have written my attempt in an ...
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