# 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.)

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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 ...
1k views

### Applications of Countable Infinite Sets and Power Sets

What are the possible applications of Countable Infinite Sets and Power Sets in areas that are not strictly mathematical? Also I want to know the significance they carry. What was not possible ...
674 views

### How applicable is Goldbach's conjecture to real world scenarios? [closed]

In what scenarios is Goldbach's conjecture, that all even numbers greater than 4 are the sum of two prime numbers; a natural conjecture to research?
186 views

### How to find effective rate of interest?

A man charges at the rate of $10$ paise per rupee per month, payable in advance. What effective rate of interest does he charges per annum? Here rate is $10\%$ per month. So to change it in per annum,...
47 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 ...
268 views

### Application of Chain Rule for Paths

I'm a graduate student and I'm currently teaching multivariable calculus. I gave my students a question about a bug traveling along a circle of radius $200$cm in the $xy$-plane. We suppose also that ...
107 views

### Marginal revenue of a monopolist [closed]

A monopolist faces a demand function $Q=4000(p+7)^{-2}$. If she charges a price of p, her marginal revenue will be: (a) $p/2+ 7$ (b) $2p+ 3.50$ (c) $p/2-7/2$ (d) $-2(p+7)^{-3}$ Correct answer is ...
2k views

### What are some real life applications of least squares problem?

I'm looking for some applications that require solving the least square problem. I know polynomial fitting is one of them, but sure there are many others. Thanks
36 views

### how to show that (F∘T) = (T∘ F) [closed]

We have E a vector space , T and F two endomorphisms of E such as i) F got dim(E) eigenvalues of multiplicity 1 ii) each eigenvector of F is also an eigenvector of T And we have to show that (F∘...
56 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 ...
38 views

### How do GPS receivers keep accurate on-board time? [closed]

GPS, or Global Positioning System is a network of satellites in orbit above the surface of the Earth. By the satellites constantly transmitting their exact position and on-board time through radio ...
27 views

### Determining Rate of Convergence for Chaotic Behavior

I've got a set of data that's been manipulated solely numerically. But anyway, for a certain part of that data set, I see that it's convergent (image). But I'm sort of at a loss for how depict that ...
68 views

### An application of two 3x3 matrices identity [closed]

What is the proper context or the physical meaning for the following problem? In particular, is it related to a classical equation? Let $A$ and $B$ be two $3\times3$ matrices, such that $\det A=1$ ...
567 views

### Fourier Analysis and its applications [duplicate]

My question has two parts: $1)$ Could anyone explain in simple terms what a Fourier Transform is? $2)$ What are some of the applications of Fourier Analysis in the field of high school mathematics?
142 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 ...
14 views

### Why finding out the derivative for getting maxima gives values of x y making them equal [closed]

If we want to find max of xy if x +y = K constant ou subsitute and derivate and you get that we always get x =y ws the solution of extreme values of function also in this other case where you cut out ...
38 views

### Finding Same Basis of Quotient Vector Space as in this Paper

I'm trying to follow this paper: Flows, scaling, and the control of moment hierarchies for stochastic chemical reaction networks . Sorry for poor use of vectors, couldn't figure out how to get the ...
98 views

### Word problem based on differentiation - a right circular cone.

The height of a right circular cone increases by $k\%$, its semi vertical angle remaining constant. Assuming $k$ to be small what is the approximate percentage increase in (i) total surface area (ii) ...
213 views

### Probability of getting into at least one university given grades and scores

A number of websites offer tools which estimate odds of being accepted to universities given grades and standardized test scores, based on applicant data. The question of calculating odds of getting ...
68 views

### Is 30/- of petrol plus 70/- equals 100/- of petrol. [closed]

Is 30/- of petrol plus 70/- equals 100/- of petrol.The worker at petrol pump filled me 30/- of petrol,then I said I wanted 100/- of petrol.Then he said,"Oh sorry!Let me fill 70/- of petrol".Is that ...
340 views

### what are some applications of group theory [duplicate]

what are some applications of group theory? Group theory seems to be rather abstract.
161 views

### Android application like mathjax [closed]

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

### Constant Force Pendulum (undamped)

How does one sketch the derivation of the equation of motion for a planar pendulum of length l and mass m in constant gravity g, subject to a constant torque force F (directed along the tangent to the ...
58 views

### Acceleration + velocity calculus question [closed]

Explanation for Calculus question needed The acceleration $a\,\text{m/s}^2$ of a particle $P$ moving in a straight line is given by $a = 3(1-x^2)$ , where $x$ metres is the displacement of the ...
196 views

### Does all mathematical formulas and proofs have a real world application? [closed]

although I only have a minor expertise myself, I've always been fascinated by great thinkers (mostly in the mathematical and technical sciences) and I was wondering if you could help me answer a ...
537 views

### Mathematical field theory Application in real world and other branches of Mathematics

I need to write work about applications of Mathematical field theory in real world and in other branches of Mathematics. Can someone guide me to an appropriate book, resource? Thanks, Denis.
32 views

### Application of hyperspheres [closed]

Recently I've been studying the the volume of an n-ball. Do hyperspheres (or their volume/surface formulas) have any real-world applications?
22 views

### A question regarding the given rates in a related rates question

I have a question about these rates given in a related rates question. For example, when it's given that the car is moving at $60\;\text{km/h}$, a balloon is heading up at $2\;\text{m/s}$, a circle's ...
122 views

### Can an infinity be gradually reduced to zero? [closed]

If we have an infinite amount of something and reduce it by 1 (or by a fraction of 1%) every time period for a finite number of time periods, could this amount then be reduced to zero? Real physics ...
36 views

### Formula to predict the numbers of words a baby will listen before saying his first word? [closed]

I would like to know a rough stimate of words a baby will listen before saying his first word. It is kwown that babies start to talk at 12-18 months. I know this is a tricky question with so many ...
56 views

### Show that there exist a bijection between $ℤ$ and $A$

Let $A$ be the set of points of the form $(s,0)$ (the second component is still zero) where $s∈B⊂ℝ$ and $B$ is an infinite discrete set. My question: Show that there exist a bijection between $ℤ$ ...
264 views

### How many shares does she own?

Jasmin Coleman bought 5,000 shares of GE stock. She held them for 6 months. Then Jasmin sold 190 shares on monay, 450 shares on Tuesday and again on Thursday, and 900 shares on friday. The average ...
29 views

### Application of logs

The number of milligrams, $d$, of a drug remaining in a patient's bloodstream, $t$ hours after it has been administered, is given by the equation $d = 5(2.7^{.04t})$. To the nearest minute, how long ...
35 views

### Application of integrals. [closed]

What is the volume of the solid generated when the region bounded by $y=3x$ and $y=x^2 +2$ rotate about the $x$-axis ?