Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

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.)

1
vote
1answer
35 views

How do I tell the rank of the electric susceptibility tensor (and others)?

I understand that a tensor is a multilinear map from $V^*\times\cdots\times V^*\times V\times\cdots\times V$ to $V$'s underlying field, where $V$ is a vector space and $V^*$ its dual. This is fine, ...
2
votes
1answer
34 views

A collection of lines drawn between points in a regular 13-gon - how to determine where the points sit relative to each other?

So I have 4 collections of lines drawn between points each making a path. The angles are measured. The problem I am attempting to solve is to determine whether or not each of the collections of points ...
3
votes
3answers
60 views

What are some applications of mathematics whose objectives are not computations?

In mathematics education, sometimes a teacher may stress that mathematics is not all about computations (and this is probably the main reason why so many people think that plane geometry shall not be ...
0
votes
1answer
19 views

Can we solve the functions describing the bend of a cable at rest fixed at two positions?

Assume we have a cable which endpoints is attached to two points at $(x,h)$ and $(x+\Delta_x,h)$. Further assume it has some mass density distribution, $\rho(m),m \in [0,l]$ and is of some length $l ...
-1
votes
4answers
44 views

How to solve this problem without letting coordinates as $(a \cos\theta , a\sin\theta)$

Q. Tangent to the circle $x^2 + y^2 = a^2$ at any point on it in the first quadrant makes intercepts $OA$ and $OB$ on $x$ and $y$ axes respectively, $O$ being the centre of the circle. Find the ...
3
votes
1answer
84 views

Path of a simple turning car?

I am planning to build a small car that needs to travel through three specific points. Obviously, the car will need to travel in a partial circle to do this. In order to do this, I need to calculate ...
0
votes
1answer
38 views

Applications of coupled systems of $\;2\times 2\;$ linear differential equations

I am providing maths help to some students studying just before University level in mathematics. I am writing some practice questions for them on solving coupled first order linear equations and I ...
1
vote
1answer
43 views

set up triple integral for volume

I was working on practice problems in the textbook and got stuck on this question. Any help would be greatly appreciated. Set up two triple integrals with two different orders of integration that ...
0
votes
0answers
22 views

Applications of Riemann surfaces in engineering or physics

I know that the maximal analytic continuation of a holomorphic function is an example of Riemann surfaces but don't know what it is used for. What can we do with this surface?
0
votes
1answer
27 views

Is there a right identity for Application in Lambda calculus?

Such a function E that: ∀F (F E = F) It's obviously, that the left identity E' (E' F = F) ...
1
vote
2answers
129 views

Is there any “good” definition for what constitutes “applied mathematics”?

Is there any "good" definition for what constitutes "applied mathematics"? Wikipedia lists stuff such as statistics, optimization. However, e.g these have certainly "pure mathematical" aspects to ...
0
votes
1answer
26 views

Lagrangian of an equation, a particle with a time dependent constraint

I'm currently studying for an exam and I came across the following question. Consider a bead of mass m constrained to move along a wire which is on the vertical $(x, y)$ plane. The wire has equation $...
0
votes
1answer
79 views

Paasche price index: cost of living adjustment (economics)

I am trying to figure out the following question involving the Paasche price index: two goods are perfect substitutes (let's assume for simplicity that indifference curve has slope of -1) relative ...
1
vote
0answers
128 views

Real world applications of Riemann surfaces of holomorphic functions [closed]

The maximal analytic continuation of a holomorphic function is an example of Riemann surfaces. What is it used for? Please edit the question to limit it to a specific problem with enough detail ...
0
votes
0answers
6 views

Applications for quasi-groups and loops outside of cryptography

I've been studying the group-like structures lately. Loops (and more generally quasigroups) seem strange in that they are defined, and we've studied their properties, but they don't seem to actually ...
0
votes
0answers
44 views

Applications of $L_p$ spaces

I'm studying Lebesgue integration theory and understand the definition of $L_p$ spaces. What can we do with $L_p$ spaces?
0
votes
0answers
41 views

Any textbooks on applications of topology to natural and social sciences?

Here is a Mathematics Stack Exchange post on applications of topology. Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to ...
0
votes
2answers
39 views

One train travels north at $140$ mph towards Traveler's Town, while a second train travels west at $150$ mph away from Traveler's Town.

One train travels north at $140$ mph towards Traveler's Town, while a second train travels west at $150$ mph away from Traveler's Town. At time $t=0$, the first train is $70$ miles south and the ...
0
votes
2answers
33 views

Applications of polynomials of a high degree

What is the highest polynomial degree that has an application in real life, and what is that application? My google search yielded 3rd degree at most.
2
votes
1answer
42 views

Optimizing Video Game Crafting with Two Variables

In a certain video game, it is desirable to maximize the occurrence of crafting an item $B$, which depends on possessing the proper quantities of material. To construct 1 $B$ one needs 1 of ingredient ...
0
votes
0answers
20 views

Optimized surface covering using rolls of membrane

I want to cover a surface that has quite a complex geometry limited with straight lines. Covering will be done using a membrane that is sold in 2 meters wide and 25 meters long rolls, with an overlap ...
1
vote
0answers
56 views

What are the practical applications of the Astroid curve?

The astroid curve is a fascinating and famous curve — but why do we care? Several famous mathematicians and physics worked on it, like Roemer, Bernoulli, and Leibnitz, but why? Is it simply for ...
1
vote
1answer
38 views

Working out my holiday/vacation entitlement

I am trying to figure out my holiday (vacation) entitlement. Can somebody please tell me if I am right? I get $27$ days holiday plus the bank holidays (public holidays). My work year is $1$st of ...
0
votes
0answers
16 views

Design of “balancing” networks with loopbacks

Say that you have a network of conveyor belts with nodes, where each node is a 2-lane crossover switch (2 in, 2 out, either straight-through or crossed-over). Beneš networks work to solve the problem ...
0
votes
1answer
79 views

Proving that cuboid of maximum volume in a sphere is a cube.

I was preparing for my maths test . And preparing application of derivative (theory based question ) there I saw a problem of proving rectangle of maximum area in a circle is square . So there were ...
0
votes
1answer
39 views

surjectivity equivalent to injectivity $f\circ f \circ f=f$

Let $f:E\mapsto E$ be a map such that $f\circ f\circ f = f$. Show that: $$f \text{ injective} \Leftrightarrow f \text{ surjective}$$ Let $x\in E$, then $f(f(f(x)))=f(x)$. We have: $$f \text{ ...
1
vote
1answer
28 views

Application of Central Limit Theorem to Sales

Consider the following problem and solution. (I am stuck at the modified problem.) Problem There are exactly two phone shops, $A$ and $B$, serving a town of 1000 people. Both shops sell an iPhoneX ...
1
vote
0answers
56 views

Soft question - some interesting pde applications in “real life”

I have to do a final project for my PDE subject and I'm looking for some interesting applications. The idea is to discuss a problem and it's related model, then possibly find a solution. I have to ...
0
votes
1answer
52 views

Solutions of the Falkner Skan Equation for Negative Beta

I was wondering what the solution to the Falkner Skan equation, $$f^{\prime\prime\prime}+ff^{\prime\prime}+\beta(1-f^{\prime 2})=0$$ looks like for negative values of $\beta$ and whether solutions for ...
1
vote
1answer
59 views

Three Point Vortices Fluid Dynamics

I have been assigned a problem with two point vortices: Find two point vortices whose locations in the 2D plane and strengths $\gamma_1,\gamma_2$ are such that their positions remain fixed in time. ...
0
votes
0answers
32 views

How to prove cylindrical shell method using Darboux Integral

So, I am trying to prove that the volume calculated using cylinder shell method is $$\int_b^a2\pi f(x)dx$$ So basically we know that, $$f(u_i)(\pi x_{i}^2-\pi x_{i-1}^2)\leq\Delta V\leq f(v_i)(\pi x_{...
0
votes
0answers
6 views

Applications of high mean escape time subgraphs

I am learning about algorithms for finding subgraphs with high mean escape time, and I am wondering if someone could enlighten me on what applications there are for such a task. Applications to either ...
0
votes
0answers
45 views

Can we guarantee a solution to the system $b = x^T Z - Z x$ ? (w.r.t. $Z$)

Question: Can we guarantee a solution to this system? I have a system of compartments as shown in the Figure (for $N=3$). The mass flow among the compartments can be described by $$ \frac{d}{dt}x_{...
0
votes
0answers
30 views

Calculus problem profit of a bakery

Hello guys I have little background on this, I don't know how to attack this problem since I don't know what a "function of benefits" is or how to decide if it generate profits. I know that if $f$ (...
4
votes
3answers
365 views

Need to find the equation of a curve from a Hand drawing [closed]

My uncle makes hand drawings of furniture on a large piece of chart paper at 1:1 scale. He has recently passed away. I have the task of converting those hand drawings into Autocad drawings. The ...
0
votes
0answers
15 views

What are the Nash equilibria of this network?

Braess's Paradox provides an explanation for why traffic can worsen after new roads are added. For example, consider traveling from A to B in the following network: Cars dividing equally between the ...
0
votes
1answer
29 views

Interpreting solutions to spring-mass ODEs.

I have the following spring-mass ODE solutions: $$1:\;\;\;x(t)=-3\sin(2t)+4\cos(2t)+12t\sin(t)$$ $$2:\;\;\;x(t)=6e^{-t}\cos(3t)-3e^{-t}\sin(2t)+40\sin(7t)$$ How is is possible to figure if each one is ...
2
votes
0answers
14 views

Using binary system for Henry Classfication System.

In my forensic science class, we learned about the Henry classification system of fingerprints to categorize fingerprints based on the type of print each finger had. The system itself uses the decimal ...
1
vote
0answers
63 views

Topology over daily life subjects [closed]

Is there any Topology I can define over the following "spaces"? If so, How can I use this to get new knowledge? Is this actually usefull? I began to think how Topology generalices the concept of ...
0
votes
0answers
17 views

Put call parity for binomial models

So i know that under normal claim the put call parity under a binomial model would Ct − Pt = St − K(1 + r) −(T −t) But how would i establish a put call parity if we were to use the claim of X=Ct+Pt ...
2
votes
0answers
24 views

How to randomly sample a social graph to find paths between at least 20% of profiles?

Given a Graph, where we know Total number of nodes (~100,000) Average no of connections per node (~200) Maximum distance between two nodes (~5) How many nodes (and its connections) do we have to ...
0
votes
1answer
41 views

What are some practical applications of successive differentiation?

Before starting to learn something, I always wonder whats its application. So would you please give some practical examples of application of Successive differentiation and concepts related to it such ...
6
votes
1answer
76 views

Are ordinals greater than $\varepsilon_0$ used outside Ordinal Analysis?

I know of Conway's use of ordinals to exhibit the algebraic closure of $\mathcal{F}_2$. I also read a document about the Cantor Bendixson rank of some family of groups. But I found no applications of ...
2
votes
0answers
31 views

Auctions - Placing Points to get into Classes

At my university there are not enough places in every class to accommodate every student. The scheme the university set up to solve this problem is as follows: Each student gets $1000$ points per ...
-1
votes
1answer
55 views

Why do I keep seeing this equation in different fields?

I am a student studying mathematics at university. I have come across the expression $$1-\dfrac{1}{x}$$ in several different classes and I'm wondering about its significance. The first place that I ...
2
votes
0answers
38 views

What are practical examples of Toeplitz matrices?

Toeplitz matrix is a diagonal-constant matrix, in which each descending diagonal from left to right is constant. Given that internal structure, matrix operations are sometimes much faster. Where are ...
0
votes
0answers
33 views

Example of real life applications using quadratic form of Gaussian vectors

I was just want to know if the cumulative distribution function of quadratic forms of Gaussian vectors have any real applications? To be more precise, if $X$ is a Gaussina random vector and $\Sigma$ ...
0
votes
0answers
32 views

Where can I learn to find area of figures using integrals ??

I am in high school and studied Integration this year . Area of Integral is also a part of syllabus I was able to do basic using which included area of shaded region only in Quadrant I . But was not ...
3
votes
2answers
71 views

Practical Use of knots in real world.

I was to a place like exhibition and a guy was telling us the mathematical aspect about knots and knot theory and I was confused about the real practical reason for mathematicals to research about ...
0
votes
0answers
43 views

Comparison in the accuracy of Romberg Integration and Second Order Newton-Cotes Quadrature

Context I ask this question because I'm currently working on a program that solves the Cahn-Hilliard equation in 2D. For this project I need a subroutine to calculate the free energy functional by ...