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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How to calculate the additional disease death rate (per day)?

I have a susceptible bird population: 439197 and total of death cases: 45682 which happened during a period of 17 days. I want to express this death rate (infected) per day, will I just divide (439197)/(45682) and multiply by (17/365)?
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Navier Stoke's system

Lemma: Let $\bar{g}\in\left(H^{\frac{1}{2}}(\Gamma)\right)^2$ such that $\int\limits_\Gamma \bar{g}.v=0$. Then $\exists$ $\bar u\in (H^1(\Omega))^2$ such that div($\bar u$)=$0$, $\bar u=\bar g$ on $\Gamma.$ [where $\Omega$ is bounded connected set…
Tshering
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About Codd's theorem

I was learning about databases and I have developed a rough idea that the design of databases has got quite a lot to do with mathematics. The most common and probably advanced form of databases are relational databases. The very beginning of its…
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What did Paul Halmos have in mind in this quotation?

Paul Halmos says in his paper Innovation in Mathematics in the Scientific american: The late John von Neumann liked to cite this example of the relation between technological development and pure mathematics: A hundred and fifty years …
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Equilibrium solutions of a differential equation and their nature

I need some help with the following the differential equation $$ \dot{x}=x^{4}-3x^{3}+2 $$ I found that the equilibrium solutions are $x \approx 1, 2.9196, -0.45982+-0.68817i$. If you someone could check that I did it correctly and also if these…
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Ranking event winners with a portion of total participants.

This may not be the place for this question, but its the one place I know where I'll get solid mathematical answers: I'm looking for a system that ranks event winners, but it can't require everyone to be there. Say you have 30 racers, and only the…
Orion Reed
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Math-a-magic: How to force all participants onto same color squares of checker board?

Setup Setup 3x3 checker board. X O X O X O X O X Rules Audience picks a random square on the board for their point of origin. [not sure if this rule is correct] Magician will choose & call out the number of spaces the audience must…
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Water Flow Rate

I am doing a software development code to dispense water for which I need to find the its flow rate. The tank can hold around $300$ liters of water and has only a $1/2$" inch ($.75$ cm inch diameter) pipe ($6$ inches length) as outlet. I would be…
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Help with a game design function.

I'm working on building a 'result table' for an RPG. In said table, you compare an effect rating to a resistance rating, to find a whole number result. Essentially, for each cell I need to find Z, where: Z is some proportion of the difference…
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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.
0149234
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Help needed Applications Fourier transform on sound wave propagatiom

[This image show an example in a textbook that am having difficulty in understand how they get 2.12.81 and 2.12.82][1] Kindly help with the value of B [1]: https://i.stack.imgur.com/k4HaF.jpg
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Delta amount VS New amount

There are two groups under a company. In the first year Group 1: Earned 100k Group 2: Earned 70k In the second year Group 1: Lost 300k (delta 1: -300k) Group 2: Lost 80k (delta 2: -80k) That means after the second year, Group 1: Contributed -200k to…
mathqt
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Examples of applications where submodular functions are used to promote diversity?

I have often seen the terms submodular functions / submodular function optimization and promoting diversity thrown together. What are examples of standard submodular functions that are used to promote diversity? Also, what is the intuition for the…
elexhobby
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Current carrying wires

A current carrying wire takes the form of a plane circular loop of radius a. If the current in the loop is I, find the magnetic firld strength B at a point on the axis of the circle, distance b from the centre. I think I'm supposed to use the…
Tom
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Why does the calculation for freight rate not include division by the freight weight?

I'm doing a little reading about freight rates (the number of miles 1 metric ton can be transported using 1 gallon of diesel fuel). I came across this equation which calculates the freight rate of a trip given its miles traveled and gallons of fuel…
user755796