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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1answer
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Practical applications of the Fantappiè transform

The Fantappiè transform of function $f(x_1,x_2,\ldots,x_n)$, $x_1 \geqslant 0, \ldots, x_n\geqslant 0$, is defined by the formula $$ (\Phi f)(y) = \int\limits_{\mathbb R^n_+} ...
3
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4answers
894 views

Sports that use Mathematics

What kind of sports and games use mathematics beyond simple arithmetic? How is math applied to build strategies for these games? Sailing could use mathematics in terms of astronavigation, tying ...
4
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2answers
239 views

Motivation for the study of the Chern connection

Given a Hermitian metric $H$ over a holomorphic vector bundle $E$ with holomorphic structure $\overline{\partial}$, there exists a unique connection $\nabla$ (named afer Chern) satisying the following ...
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1answer
40 views

Significant digits/rounding

I have a bunch of criteria to evaluate for a product, and each is scored on a scale from 0 to 5. Each criterion has a weight associated with it. If I find the weighted score of a criterion, it is ...
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2answers
71 views

The Equation and Number of units [closed]

The total revenue function for a certain product is given by $R=460x$ dollars and the total cost function for this product is $C=25000+20x+x^2$ dollars where $x$ is the number of units of the product ...
0
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1answer
27 views

Reflection Lines

I am analyzing the problem of G^1 continuity between patches. I have found the statement: if the reflection lines on a surface are C^0 then the surface will be G^1. I would like to know the proof of ...
4
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1answer
163 views

Problem with a dipstick

The problem: Some houses are heated by burning oil. The oil is stored in a horizontal elliptical cylinder that is lying underground. To measure the residual volume, one has to use a dipstick ...
86
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9answers
6k views

How do I sell out with abstract algebra?

My plan as an undergraduate was unequivocally to be a pure mathematician, working as an algebraist as a bigshot professor at a bigshot university. I'm graduating this month, and I didn't get into ...
14
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8answers
10k views

What is the real life use of hyperbola? [closed]

The point of this question is to compile a list of applications of hyperbola because a lot of people are unknown to it and asks it frequently.
17
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3answers
725 views

Exceptional books on real world applications of graph theory.

What are some exceptional graph theory books geared explicitly towards real-world applications? I would be interested in both general books on the subject (essentially surveys of applied graph ...
0
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0answers
119 views

Finding velocity field due to sources of strength $m$

I was given a few practice problems in class however our prof did not really touch on the subject of what the questions are about and our text really only has one example. The question asks: Find the ...
1
vote
2answers
7k views

How to find the point where the curvature is maximum

How to find the point on the curve $y=e^x$ at which the curvature is maximum. from the graph of the above curve i think at (0,1) the curvature is maximum.Is it true? please help.
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4answers
5k views

How does linear algebra help with computer science

I'm a Computer Science student. I've just completed a linear algebra course. I got 75 points out of 100 points on the final exam. I know linear algebra well. As a programmer, I'm having a difficult ...
4
votes
3answers
73 views

Oceans and volume [closed]

What would be the math formulas to calculate the increase in the height of the ocean if one drop of water were released into it. Assuming that everything is static. How would you solve that ...
1
vote
1answer
227 views

Complex parametrization of Airplane wing?

I read once about complex parametrization with fluid-dynamics objects such as airplane wings, something related Rieman Zeta function. What are the mathematical models this kind of things such as ...
1
vote
1answer
130 views

Obtaining standarized orthogonal polynomials from real data

I have real-world data, which after analysis, produces a series of curves. The data has noise, but each vector $u_1(x), u_2(x), \ldots, u_6(x)$ fits extremely well to a polynomial of that same order, ...
2
votes
2answers
140 views

Are there constraint problem calculators?

So I just remembered Lincoln Logs exist, so I found ten giant sets of them on ebay for Buy It Now, and I'm trying to decide what combination of purchases gives me the most logs for the least money if ...
1
vote
0answers
62 views

Quote on the Littlewood-Richardson Rule

In Gordon James's paper "The representation Theory of the Symmetric Group" he says "The author was once told that the Littlewood–Richardson rule helped to get men on the moon but was not proved until ...
1
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5answers
203 views

Geology with maths [closed]

Can anyone suggest me topics that connect maths with geology or geography or anything related to earth? Thank you. ...
3
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0answers
455 views

Understanding how Prime Polynomials are applied to LFSRs?

In doing some research on LFSRs I understand that a primitive polynomial can determine what taps to be used to create an LFSR that has as many bits as the degree of the polynomial that will cycle ...
2
votes
4answers
349 views

Applications of group theory to geometry

What are the applications of group theory to geometry? Where can I know more about these applications?
0
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1answer
85 views

Blackjack 21 training

A friend of mine has to do An essay on this and I thought this was a great place to ask. In the movie: the main character is seen reading a lot of books which he calls simple arithmetic instead of ...
45
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8answers
4k views

Are there real world applications of finite group theory?

I would like to know whether there are examples where finite group theory can be directly applied to solve real world problems outside of mathematics. (Sufficiently applied mathematics such as ...
4
votes
3answers
344 views

Applications of cardinal numbers

I know basic things about cardinality (I'm only in High School) like that since $\mathbb{Q}$ is countable, its cardinality is $\aleph_0$. Also that the cardinality of $\mathbb{R}$ is $2^{\aleph_0}$. ...
2
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0answers
52 views

Molecular vibrations and a generalisation of Wigner's rule for (non-finite) compact groups

years student of mathematics and write my script for my bachelor. The topic is "Representations of groups and applications in physics". I understand the representations very good but now i want to ...
0
votes
1answer
518 views

radius = distance? arc length = height?

as the title said, I have a little trouble to find which is radius and arc length 1)If a hill 2500 ft away subtend at 1.5 degree angle, how high is it? my thinking: it ask for the arc ...
0
votes
3answers
430 views

I need a differentiable function whose plot is a plateau and the steepness and width can be varied arbitrarily and easily

I need to model the solar radiation incident on a solar panel. I tried using $$\tanh(b*(x-a))-\tanh(b*x)$$ but it does not give me a lot of flexibility with the characteristics of the curve, namely ...
0
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1answer
352 views

Application of derivatives

An approach path for an aircraft landing is shown in the figure and satisfies the following conditions: ( i ) The cruising altitude is when descent starts at a horizontal distance from touchdown at ...
3
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0answers
610 views

Turning radius of a vehicle

What's the minimum turning radius of a vehicle, rectangular in shape, with length l units and width w units? One key point to consider, would be that, the inclination of the front wheels can be ...
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0answers
43 views

What's the interested topic or applications about random graph, probabilistic method or combination?

I want to pick some topics or applications to do a project of a current course. Those topics should be related to graph theory, combinatorics, random graph, probabilistic method etc. Such as social ...
0
votes
3answers
97 views

A fund of $30,000 is used to award scholarships…If i=0.09, find the number of scholarships which can be awarded

A fund of $30,000 is used to award scholarships of amount 3000, one per year, at the end of each year for as long as possible. If i=0.09, find the number of scholarships which can be awarded and the ...
0
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2answers
54 views

If $ i=0.09 $, find $ n $ and the amount of final payment.

A fund of $ \$500 $ is to be accumulated by $ n $ annual payments of $ \$100 $, plus a final payment as small as possible made one year after the last regular payment. If $ i = 0.09 $, find $ n $ and ...
1
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2answers
179 views

at a nominal rate of interest of 8% converted semiannually…Find the initial amount of the loan.

A loan is to be repaid with level instalments payable at the end of each half-year for $3$ and $\frac{1}{2}$ years, at a nominal rate of interest of 8% converted semiannually. After the $4^{\rm th}$ ...
0
votes
1answer
153 views

How are these formulas for Quaternion -> Rotation Matrix related?

I'm trying to write a program to convert a quaternion to a rotation matrix. One source I found is: ...
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0answers
47 views

KdV and forest dynamics

Today on the lection on KdV equation $$ u_t - 6uu_x + u_{xxx} = 0 $$ I was told that this equation describes forest dynamics. I tried to find something on this topic in the internet but without ...
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3answers
579 views

Mathematical preparation for postgraduate studies in Linguistics

I am an undergraduate student in Mathematics and I would like to continue my postgraduate studies in the harder, more mathematical aspects of Linguistics. What exactly would that include is unknown ...
1
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2answers
333 views

Mix two colors in LAB color space

I have two colors in LAB color space, for example: blue: 32.303, 79.197, -107.864 (hex code: #0000ff) yellow: 97.138, -21.556, ...
11
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4answers
1k views

Real world applications of category theory

I was reading some basic information from Wiki about category theory and honestly speaking I have a very weak knowledge about it. As it sounds interesting, I will go into the theory to learn more if ...
1
vote
1answer
406 views

Determine the effective annual interest rate on the loan

A borrower owes \$5000 today and has promised to pay \$1900 at the end of the next three years to repay the loan. Determine the effective annual interest rate on the loan. What is the outstanding ...
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1answer
196 views

Calculating Humidity, Wet Bulb Temp and Dew Point [closed]

I have been trying to simulate a climate system, but I have hit a wall. I am trying to calculate Humidity. But to calculate Humidity you need the Wet Bulb Temperature, but to calculate the Wet Bulb ...
2
votes
1answer
2k views

How to convert interest rate to discount factor

I'm studying on Kellison's Theory of Interest and I'm stuck on the exercise 20/a of the 1st chapter. If the $i=0.1$ then $d = 0.0901$ $d_5=\frac{A_5-A_4}{A_5}$ when I insert $d$ into this ...
1
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1answer
429 views

Engineering Application with Integration

I need help for part $(i)$ ... What I think I know so far: $P = dgh = (1000)(9.8)(h)$ Finding $h$: We will choose an arbitrary value '$x$' somewhere between $0$ and $3$. The height of this ...
3
votes
1answer
90 views

What are the use cases related to cluster analysis of different distance metrics?

I'm trying to use different distance metrics like Euclidean, Manhattan, cosine, chebyshev among other distance metrics in my k-means algorithm to calculate distances between the data points and the ...
2
votes
2answers
948 views

Does the concept of infinity have any practical applications?

I know what you're thinking: "of course it has, for example, it can be used to tell you how many times you can go around a circle". But that isn't really true, now is it? You'd be dead or the world ...
93
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33answers
9k views

Can you provide me historical examples of pure mathematics becoming “useful”?

I'm trying to think/know about something but I don't know if my basis premise is plausible, here we go. Sometimes when I'm talking with people about pure mathematics, they usually dismiss it because ...
0
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2answers
445 views

Interpretation of definite integrals [closed]

It is known from the Fundamental Theorem of Calculus that $$\int_a^b f(x)=F(b)-F(a).$$ This has the geometric interpretation of the net area between $f(x)$ and the $x-$axis. I suspect that there are ...
6
votes
1answer
554 views

Applications of category theory and topoi/topos theory in reality

I am an amateur mathematician with an interest in the subjects named in the title. I have recently come to understand that my B.A. in math gives me absolutely no qualification at all in the Swedish ...
2
votes
0answers
105 views

Positive eigenvalues in differential-algebraic equations not appearing in time-domain simulation

I am solving a system of equations derived from power system applications. It consists of index-1 differential and algebraic equations in the form: $$\dot{x}=f(x,y) \\ 0=g(x,y)$$ To get the ...
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0answers
97 views

Can a matrix based “secret sharing scheme” be applied to image based secret sharing?

I was reading this and was wondering if it can be used to do secret sharing with images. I dont know a lot about image processing, but if the authors have given a scheme for matrices, how can be ...
2
votes
1answer
126 views

The PDE $u_t = -\Delta^2 u -\Delta u + f$

Does the PDE $u_t = -\Delta^2 u -\Delta u + f$ have a physical use or meaning? I am asking specifically about the the Laplace term after the biLaplace term.. is it unusual or "unnecessary" in some way ...