Mathematics Stack Exchange
Mathematics 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.)

Mathematics often tries to abstract concepts and ideas, as it makes proofs somewhat easier. Questions in this tag are questions about the reverse process of taking abstract notions and theorems and applying them to specific cases.

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Applications of analysis to mechanical engineering

I am a mechanical engineering and mathemathics undergrad student. Next year I am starting my ME thesis. I want to choose a topic in which I can apply some of my mathematics background. I am interested in analysis, in particular in functional…
Julián Villaquirá
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Using a variable with multiple values and get through a loop

I am very new to mathematics but I would like to know if there is a way to use a variable, which has multiple numbers. If so, I would like to create a loop. Here is an example of what I want: (a / 24 x 100) / b a should be a dynamic variable, which…
Reza Saadati
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What is the formula used to calculate the monthly insurance pay for a loan?

So, basically, I need to create a loan calculator in the Excel and one of the points is insurance bonus, it's also paid monthly, but I don't know the formula? I only know that it depends on the age and the remaining amount of loan. How to calculate…
user
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Swaying string, a question regarding the derivation of formula

In my textbook, with $S=|\mathbf{S}|$, from the picture below, they derive $\int_{x}^{x+h}\rho_lu_{tt}''d\lambda=S(x+h)\sin(\alpha(x+h))- S(x)\sin(\alpha(x))+\int_{x}^{x+h}Fd\lambda$, where $F$ is [N/m], $\rho_l$ is [kg/m] and $u$ the position in…
WorseThanEinstein
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Optimal time for three people to travel

Three men need to travel 60 km. They have a motorbike that can travel at 50 km/h but only two people can fit on it. They can walk at a speed of 5km/h. Can they get to their destination in 3 hours? I found that they could do it in less than 3 hours…
Linus Derehed
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Recommended knowledge for Applied Math

I would like to know which topics below are important for applied math and why? If you know about only one subject, share your answer with me please. Topology Set Theory Linear Algebra Abstract Algebra Graph Theory Geometry Calculus ODE PDE Chaos…
mbenencase
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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 $y =x^2/a+ b cos(\omega t)$ where $a$, $b$ and…
Shaun
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How to calculate time difference between two moving objects

I am currently developing an app that calculates the time difference (in seconds) between the driver in front and behind of the current player. I know the total distance driven by all cars, same with the distance driven that lap, lap distance, speed…
iProgram
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Bellman Ford vs Dijkstra

I have some confusions related to the application of Dijkstra and Bellman Ford algorithms. Can Bellman Ford be used on undirected graph, or it is only for directed ones? I recognize it because most books apply them whenever I encounter a digraph.
Thong Nguyen Thanh
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App for stable marriage problem?

Today I spoke with a theater manager who needs to match 7 directors with 7 playwrights. Clearly, this is an instance of the "stable marriage problem", which can be addressed using the Gale–Shapley algorithm. My question is, what would be the easiest…
user1147171
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Computing Apportionment

I live in North Carolina. As many of you know we have had a major problem with gerrymandering both for state and federal districts. For purposes of this question, I am only concerned about state districts. My proposed solution is to model the…
David P
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Accuracy and Precision Question

Assuming I filled in the table correctly, the question wants me to use it in order to help me figure out what the difference between significant digits and precision is. I am not sure what I am looking for. I know precision is dependent on the last…
PiFarmer86
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Examples of equations that are solved automatically in nature?

What kind of equations can be solved simply by using things in nature? Letting the physics do the solving, so to speak. My question is not very thought out at the moment, but perhaps there are some examples where one has gleaned on the solution's…
Emil
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Well Defined Applications

Let $H$ be a subgroup of $\textrm{Isom}(\mathbb{R^n})$ And let $O(n)$ be the orthogonal group. Let $T_v$ be the translation by $v$. If we have the following application : $\Phi : H \rightarrow O(n)$ s.t. $h \mapsto T_{-v} ∘ h ∘ T_v$ I want to see…
aribaldi
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Considering small perturbation determine whetherit is a stable or unstable node

This is the part of the question I do not understand. I'm given an nonlinear equation for a population, let's say $$ \dot{x}= x^{4}-3x^{3}+2 $$ So we are asked to find the equilibrium points, one is x=1 and considering small perturbation determine…
Samad Miah
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