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.

1482 questions
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What does it mean: "Strings of Constraints"

I am reading an article in the field of applied mathematics. I've ran into a sentence that reads: The string-averaging algorithm projects a point sequentially along several independent strings of constraints. I really don't get what does it mean…
goodUser
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General equation for distance over grid with diagonals

I understand the difference between Euclidian, Manhattan and Chebyshev distances. My question is: How to calculate a distance metric from point1 to point2 on a grid including diagonals given that orthogonal adjacent cell distance is 1, and…
Lizardie
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Derive the equations of motion and determine whether angular momentum is conserved

Suppose that the gravitational force is not given by the inverse-square law, and instead is $$ F_{grav}=(\frac{A}{r^{2}}+\frac{B}{r^{4}})\hat{r}, $$ where A and B are real constants. Derive the equations of motion and determine whether angular…
Samad Miah
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Uniform acceleration

Two stunt drivers drive their cars along a straight horizontal road. The first car is travelling at 30 m/s and is followed by the second car, 16 m behind it, both cars are travelling with equal speeds. At an instant the driver of the first car…
Philip O'Neill
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How to calculate a monthly mortality rate?

If the instantaneous mortality rate for a species (or a group of humans) is 0.1/year, what is the mortality rate per month? Can you just divide $0.1/12$? This seems too simple and incorrect because mortality is an instantaneous rate.
user210990
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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 exist? The service, where we can solve different…
baira
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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 this for the vertical resolved motion which gives: $-50…
user170349
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What is the practical application of local linearization

Whenever I'm studying a new topic in mathematics, the question of potential practical application is the one that matters to me the most. While it's relatively easy to come up with hypothetical cases of practical application of, let's say,…
goose
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communicating vessel formulas

i having trouble with this formula $$ Z1(t) = Ze+(\sqrt{Z1-Ze}-\frac{2S0}{S1}\sqrt{2g(1+\frac{S1}{S2})}.t)² $$ Z1 and Z2 are the heights of the vessels. S1 and S2 are the sections of the vessels. S0 is the section of the tube between them (for the…
eephyne
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Kleiber's Law (negatiive quarter-power scaling) of Metabolic rates v/s Mass Compared to Geoffrey West's observation on City Size & Innovativeness

Kleiber's Law states that metabolism scales to mass to the negative quarter-power. From this it follows that an elephant which is about 1000 times heavier than a chipmunk would, on an average, have metabolic rate 1000 ^ (1/4) i.e. ~5.5 times that of…
computronium
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Cell Size Suppression - general formula for an effective and safe strategy

Let me explain what I mean by Cell Size Suppression in case it's known by another term and explain my problem. I need to display potentially sensitive medical data in an interactive web application that shows counts of the number of people with a…
wholeroll
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What are some practical usages of computing volume in $n$ dimensions?

I am not sure if this is really a mathematical problem, but I know how to find volume of say a sphere in n dimensions, but after coming to realize how to do this, i just don't get what would be the practical usages of the result? Like for instance,…
Aurora Borealis
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why does elo rating uses 400 and 10?

I know how to calculate elo rating (in chess) and etc but why when it was made the inventor of elo rating decided to use constant $400$ and $10$ in expected score formula? The formula: $$ExpectedScoreA=\frac{1}{1+10^{(RactingB-RatingA)/400}}$$
Qiasevi
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According to the statement, was the result positive always?

The expression: $\dfrac{r}{pq}$, with $r$, $p$ and $q$ integers and ($p$ and $q$) $\neq 0$, is positive if: $$\frac{r}{p} > 0 \text{ and } q > 0 \tag 1$$ True, $\frac{r}{p} \cdot \frac{1}{q}$ because $\text{positive} \times \text{positive}$ is…
Eduardot
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Application of Mathematics

This might be a very stupid question but comes to mind when we encounter each and every topic of pure maths. Why we are studying this, what are the applications of this etc etc. The topics in the pure maths are abstract unlike applied mathematics.…
Prince Khan
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