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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An $\Bbb{R}\to\Bbb{R}$ function with two plateaus of different heights and a valley

I am looking for a $\Bbb{R}\to\Bbb{R}$ function $f$ with two plateaus of different heights and a valley. The function has a minimum for $x=a$ and $f(a)=b$. The first (the one for smaller $x$) ...
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Pairing Two Point Clouds

So I have two point clouds $X$ and $Y$ each with $N$ points in the familiar $\mathbb{R}^3$ euclidian 3D space. I then have an inter-point distance $d(\vec x_i,\vec y_j)$ which is zero if $\vec x_i$ is ...
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Application for interpolating periodic B-spline

I need to draw a cubic C^2 continous, closed (periodic boundary conditions) B-spline which should interpolate a set of control points. If possible it would be great if I could specify the knot vector. ...
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61 views

A comprehensive book on Applied Mathematics for beginners

The Princeton Companion To Mathematics is described on Wikipedia thus: The book concentrates primarily on modern pure mathematics rather than applied mathematics, although it does also cover both ...
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50 views

What is an elementary yet important application of matrix in finance?

What is an elementary yet important application of matrix in finance? I have difficulty to read anything intermediate/advanced associated with this topics, hopefully I can find something interesting ...
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132 views

Question about homotopy equivalence

I have this proof but I don't understand why $i\circ j$ induces a homotopy equivalence, and how to see $j_*$ is injective at the level of homology? $X$ is a Banach space
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Classifying growth as percent increase.

So I have been thinking about resource consumption a lot after watching the most important video you will ever see. It is pretty long so I will summarize it as follows, the professor makes a strong ...
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76 views

Applications of derivatives outside mathematics and physics

I've been teaching calculus for several years and have some doubts about whether derivatives (and integration techniques) of common functions are useful and important outside mathematics and physics. ...
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39 views

(Possible) application of Sarason interpolation theorem

This question is related to the following Wikipedia article on Nevanlinna–Pick interpolation. At the end it has been written as Pick–Nevanlinna interpolation was introduced into robust control by ...
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Root finding: Distance b/w 2 objects = 0. (and other examples of finding roots?)

Can someone explain general uses of finding roots? I understand you can find roots to help manually graph a function, but there's gotta be more. For example, in video games, I recall something about ...
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126 views

What happens if you follow the sun?

Travelling around for quite a while and sometimes, well, just following the sun, today the question occurred to me: What happens if you really do this? So let's say some point is moving along the ...
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35 views

What are applications of the Brauer group?

A said in the title, I would like to know some applications of the Brauer group of a field. In what fields of mathematics are they useful, for instance? Or perhaps they're useful outside mathematics?
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23 views

Any book on timeline of progress of Math concepts and applications

I was wondering if there is any book that chronicles the progress of Math over the centuries and also mentions about how/when applications of various theories were discovered/invented. I have been ...
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18 views

Questions about the formula for inductive reactance and $Z_t$

I am currently on the inductors unit in my Navy schooling and I have two questions about these formulas that I learned about. As I'm aware, the ability of an inductor to concentrate a magnetic field ...
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59 views

competitive math

I hope everyone knows about competitive programming. There are so many sites where you can solve programming tasks and increase your rating. I am curious, does site about something like this for math ...
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29 views

Matrix diagonalization example

I want a real world example or simply a good example that explains the use of a diagonal matrix, and when to prefer to use a diagonal matrix? any other important information about diagonal matrix or ...
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32 views

Uses of Mersenne primes in math

There is an international search for Mersenne primes. The project is huge. But what are the uses of Mersenne Primes in math? Do they have any other properties other than being of the form $2^n-1$?
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25 views

Android application like mathjax

I am looking for an application like mathjax for android so I can type equations with my cellphone in the correct format
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14 views

Problem on Finding the speed using Intertia

I did the first part (using parallel axis theorem) and showed that intertia. The problem is in the second part, I know that $C=I\frac{d^2\theta}{dt^2}$ , where C is the moment. So in this case it ...
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Mathematics only with physics? What about biology and chemistry?

In The Mathematical Mechanic, the author "reveals how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways ...
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Is Linear Algebra the foundation of Applied Mathematics?

I've lately taken an interest in foundations of my field. While there are many important areas that contribute to Applied Mathematics (diffeqs, probability & statistics, numerical methods, ...
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47 views

Error-correcting codes used in real life

I am very interested in coding theory and I wonder if there is a particular kind of codes used in practice. For example I read that Reed-Solomon codes are often used for encoding data on a compact ...
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33 views

Optimization of a rectangular container

A rectangular sheet of tinplate is $2k$ cm by $k$ cm. Four squares, each with sides $x$ cm, are cut from its corners. The remainder is bent into the shape of an open rectangular container. Find the ...
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30 views

Using differentials with volume of a cube

my question is The volume of a cube is increased from 1000 cubic centimeters to 1156 cubic centimeters. Use differentials to determine. the side length of the cube increases by? the surface area ...
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27 views

Finding the angle of elevation in a projectile

Let $\theta$ be the angle of elevation $x(t) = x_0 + u_0t + \frac{1}{2} at^2$ where $x(t)=0$ and $x_0=50m$ , And $u_0$ is vertically resolved initial component of the velocity I applied ...
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58 views

Usefulness of $\frac{ac}{b}<a-b+c$

For $$a<b<0<c$$ I have a proof that shows that $$\frac{ac}{b}>a-b+c$$ But if $$a<0<b<c$$ Then $$\frac{ac}{b}<a-b+c$$ What I was wondering is how useful are these ...
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How I can find the inverse function $F⁻¹$?

Let $$F:U⊂ℝ^{r+1}→ℝ^{r+1}$$ $$(s₁,s₂,...,s_{r},s_{r+1})→F(s₁,s₂,...,s_{r},s_{r+1})=(f(s₁),f(s₂),....,f(s_{r}),f(s_{r+1}))$$ be a continuously differentiable function defined from an open set ...
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Finding more than one root using Newton's Method

The problem is stated as follows: Find the two roots of $x^{4}-8x^{2}-x+16 \:\:in \: [1,3].$ What is a good first guess / a good way to make a first guess when more than one root is involved, if one ...
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272 views

Abstract algebra book with real life applications

Is there an abstract algebra book that emphasizes the applications to "real world" problems? Update: By real world, I mean mostly related to physics or other sciences. But references to coding theory ...
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88 views

Application of integrating $\cos^4 x$?

A student asked a colleague the other day for a practical application that involved needing to integrate the fourth power of cosine, but no one here could think of one off-hand other than some volume ...
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86 views

Real world applications of numerical methods, for a mathematics project

I'm doing a mathematics project and I have been given 3 areas to have a look at and choose from. There's plenty of information on the academic side but not a lot of information on there real world ...
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2answers
103 views

Set theory and physics [closed]

I would like to know if there are some physical concepts (preferably accessible ones like force, torque, ...) that can be significantly better understood when looked at in the light of concepts taken ...
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Has knot theory led to the development of better knots?

Knot theory was likely originally motivated by the study of real-world knots such as these: Indeed, mathematical knot tables to this day look not too dissimilar from the familiar "age of ...
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64 views

Including non-markovian processes in a birth-death process

Current model I want to model a stochastic system with a birth-death (Markovian) model. I therefore have this kind of $n$ times $n$ (where $n$ is the number of possible states) transition matrix: ...
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Comparison of non-order based voting methods (reference request)

There is plenty written on the relative merits of various voting systems where the voters submit ordered lists of preferences. However, there are several reasonable voting systems not using such a ...
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40 views

Setting up an integral for a physics question.

The problem begins like this: a charge distribution is given by $\rho(r,\theta,\phi)=\gamma r^3cos\theta,a<r<b,0\le\theta<\pi/2$ and is zero everywhere else. The distance from the origin is ...
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Variance in offspring genotypes. Binomial distribution

Background Here is first some vocabulary: Diploid: phase in the life cycle where the individuals carry two chromosomes of each type, just like in humans (exception of the sexual chromosomes). ...
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104 views

Applications of infinite cardinalities in real analysis

What are some topics in real analysis that make use of infinite cardinalities larger than that of the real numbers themselves, preferably [edit: but not necessarily] topics that are widely applied in ...
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1answer
62 views

Engineer searching for calculus and complex analysis books without limits

I am an engineer and I need to study calculus and complex analysis without too much limits or Riemann sums or proofs. I mean on the differentiation and integration levels and higher (not digging ...
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60 views

Vector space without a scalar product

In linear algebra the terms vector space and scalar product always (at least for me) appear together. Can you give me an example of a vector space without a scalar product? Does the senescence Let V ...
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113 views

Is Real Analysis an Applied Subject?

I am doing my graduate study in Applied Statistics. This semester my professor told me to take Real Analysis and the professor who is teaching Real Analysis is using Folland's Book entitled "Real ...
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How do I derive the analytical form of a discrete wavelet transform?

I guess this is more of an "applied maths" question than pure maths, and here's to hoping this is the right forum :) I am using a fast discrete wavelet transform (DWT) of a 1D vector of 2^N numbers ...
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1answer
43 views

How to draw Congressional districts to mirror the Popular Vote

Let me preface this by saying that I'm not sure whether this is fundamentally a mathematical question or not, but I think it is. In the United States, the House of Representatives is elected roughly ...
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What is the motivation behind the study of pattern-avoiding permutations?

There is a ton of research on pattern-avoiding permutations (permutations that do not contain some designated permutation pattern). We're figuring out how to enumerate them, what random ones are ...
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What is the usage of Permuation and Combination in the real life or Computer Programming world?

I have never understood the application of P & C, even in the software programming. I know, the principle behind P&C is counting. So, basically it makes the counting quicker. However, I could ...
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Quantitative modeling of biological systems (a bunch of questions that I don't know how to get started on) Applied mathematics

Document for questions: http://www.physiology.arizona.edu/sites/default/files/Physiology472572_09HW1.pdf The link above leads to the problems I've been trying to figure out for the last six hours. I ...
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57 views

What is the line integral in higher dimensions?

Given a function $\ f:\mathbb{R}^2\to\mathbb{R}$ and some curve $\ \gamma:[a,b]\to\mathbb{R}^2$ it is my understanding that the integral of $\ f$ over $\ \gamma$ is the area of the region "between" $\ ...
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Show that the profile of the hill is a cycloid

I'm struggling with this problem: From George Simmons_ Differential Equations At sunset a man is standing at the base of a dome-shaped hill where if faces the setting sun. He throws a rock ...
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Pascal's Identity and Trees

Pascal's Identity states that $n \choose k$ = $n-1 \choose k-1$ + $n-1 \choose k$ since if one element is separated from the rest we can claim that either it is chosen (resulting in $k-1$ elements ...
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Percent profits and base costs: Word problems.

A table is bought for $23.50$, which includes a profit of $17.5 \%$. I need to calculate the amount of profit. I tried finding $17.5\%$ of $23.5$, but I don't think that's what's being asked ...