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.)
3
votes
2answers
105 views
Why demonstrations are important in mathematics?
Good evening, I'm studying math and would like to know how important are mathematical proofs in the world and particularly in a school of mathematics
Thanks for your help
0
votes
1answer
33 views
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 ...
1
vote
0answers
23 views
Fourier Analysis of a Time Series
The picture below displays experimental data on concentration oscillations in a chemical reaction. I would like to find frequency characteristics of the series.
More specifically, assuming that the ...
1
vote
0answers
35 views
Gold Ring Calculation
I have problem with gold ring weight calculation
I have below details to calculate gold ring calculation
...
0
votes
0answers
23 views
Need an application of Morse theory for second-order differentialle systems
I'm looking for some applications of Morse theory for the second order differentialle systems,
Someone can help me with a pdf or a book or an article which has these applications ?
Please
Thank ...
0
votes
0answers
13 views
Generalization/abstraction of an allocation problem
I'm having difficulty generalizing and finding the right abstraction for the following real world problem :
For each period, on a global segment, I know some data that is divided into intermediate ...
0
votes
0answers
18 views
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_+} ...
2
votes
4answers
161 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 ...
1
vote
2answers
59 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 ...
-1
votes
2answers
43 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
votes
1answer
18 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
votes
1answer
69 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 ...
52
votes
9answers
2k 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 ...
13
votes
8answers
3k views
What is the real life use of hyperbola? [closed]
I was doing hyperbola ,I was thinking does it have any real life uses or it just a mathematics theory?
13
votes
3answers
262 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
votes
0answers
32 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
151 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.
2
votes
4answers
202 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
70 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 ...
0
votes
1answer
86 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
91 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
67 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
39 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 ...
3
votes
0answers
80 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
162 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
votes
1answer
44 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 ...
39
votes
8answers
734 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
116 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}$.
...
0
votes
0answers
39 views
Computation efficient recursive pairing function
Cantor pairing function is really one of the better ones out there considering its simple, fast and space efficient, but there is something even better published at Wolfram by Matthew Szudzik, here.
...
2
votes
0answers
38 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
61 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
57 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
votes
1answer
112 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 ...
4
votes
0answers
421 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 ...
0
votes
0answers
21 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
48 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
votes
2answers
34 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
vote
2answers
55 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
47 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:
...
1
vote
0answers
42 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 ...
14
votes
3answers
201 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 ...
0
votes
1answer
68 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, ...
5
votes
4answers
214 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
85 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 ...
-1
votes
1answer
138 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 ...
0
votes
1answer
385 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
vote
1answer
134 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
41 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 ...
1
vote
2answers
147 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 ...
78
votes
31answers
6k 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 ...
