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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-2
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1answer
288 views

Water tank problem [closed]

a water tank can be emptied by one pump in 4 hours. A second smaller pump can empty the tank in 8 hours. If the larger pump is started at 1:00 pm, at what time the smaller pump be started so that the ...
1
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0answers
88 views

Applications of Numerical methods

I'm in a course of Numerical Methods and part of an assignment is find an article about an application of numerical methods, explain this article and present a program (in matlab/octave) that ...
3
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1answer
75 views

Motivation and application for stochastic geometry.

I am starting a PhD, and there is a good chance that my project will be oriented in the study of random polytopes or/and random mosaics. I was wondering what are the motivations and applications of ...
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2answers
5k views

What are the applications of matrices in real world?

Matrices are considered very important in mathematics. What are some examples of applications of matrices to real world problems that would be understandable by a layman?
0
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1answer
23 views

Evaluate a Variable Defined in Terms of its Function

I have a variable x which is defined as follows: x = 150 / (7 + f(x)) where f(x) = 0.005 * x if x > 200, or 100 otherwise. This is actually a simplified version of a real world problem. How do I ...
0
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1answer
25 views

Continuity- Image of a function

I have the following topological space: $\tau=$ {$U\subseteq R: 1\notin U$} U {$R$} and the following application: $f: (R, \tau)\to (R, \tau)$ I have to see that if f(1)=1, then f is continuous. ...
1
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3answers
54 views

Role of differentiation in a polynomial

I have learnt that, to find maximum or minimum value of a polynomial $p(x)$, we take its derivative, equate it to zero, solve for x, find the maxima and minima, and then put the value of x in the ...
2
votes
1answer
104 views

Area under the curve

suppose we have graph of $\sin(x)$ and a ellipse say $\frac{x^2}{10}+\frac{y^2}{2}=1$ it comes like following now when we intregrate $\int_{0}^{2\pi}\sin(x)dx$ it comes out to be zero , because ...
6
votes
5answers
277 views

How can I express the sum of $\sin a+\sin2a+\sin3a+\cdots+\sin(n-1)a$?

I want to sum up the partials of a harmonic series, how do I do it? If I was using the 'Lagrange trigonometric identity to solve this problem', how would I plot it on Wolfram mathematica (using which ...
1
vote
1answer
802 views

Optimisation of a rectangles area under a function curve

I have a questions asking for the dimensions of the rectangle with the largest area that has two bottom corners on the x axis and two top corners on the curve $y=12-x^2$. I have plotted the curve and ...
1
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3answers
146 views

Differentiation problem solving

I have a question which I'm unable to provide much working for as I'm not sure how to start it. A metal sphere is placed in seawater to study the corrosive effect of seawater. If the surface area ...
3
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1answer
344 views

Transpose a square matrix code

I know it's not programming area , but I think it's more related to math. I have the following function: ...
1
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1answer
58 views

represent a Toeplitz matrix in a array

I need to represent a $n \times n$ Toeplitz matrix in a $2n - 1$ array. I need to create a function that gets the $(i,j$) index of the matrix, and return the value in the $2n -1$ array. I having a ...
4
votes
3answers
292 views

Does “Big Data” Have a Ramsey Theory Problem?

I'm erring on the side of conservatism asking here rather than MO, as it is possible this is a complex question. "Big Data" is the Silicon Valley term for the issues surrounding the huge amounts of ...
0
votes
1answer
556 views

What are some applications of Trigonometry?

I have always been curious, what are some practical applications of Trigonometry? You can use it anywhere you see an angle, a triangle, or a circle. But I can't keep from wondering. Where and how? I ...
0
votes
1answer
95 views

How do I caclulate the probability of hash collisions?

I have a 10Gb file and the entire file is overwritten with random data every day. Afterwards, I divide the data into blocks and hash each block to generate a fingerprint. I am trying to choose an ...
6
votes
3answers
1k views

Applications of Calculus II to the real world

A lot of my calc II students are asking me what are the real world applications of what we are studying in Calc II (right now we are studying methods of integrations, so of course one of the ...
0
votes
2answers
48 views

What is the meaning of dimensions/units in mathematical equations?

In highschool I've always been taught the dimensions on the left hand side of the equation should always be equal to the dimensions of the right hand side, because we can't compare apples and oranges ...
4
votes
1answer
131 views

Mathematics for Graduate Political Science

I'm preparing to attend graduate school for political science here in Canada and I'm having something of a crisis. Midway through my degree program I chose to drop my first love (English) to focus on ...
10
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2answers
278 views

Does variance do any good to gambling game makers?

People always like to evaluate the variance, but is there any way for variance to be interesting to the gambling game makers? In another word, what is a pratical gambling game that involving some ...
0
votes
1answer
91 views

When does variance fail to meet its purpose in mathematical statistics? [closed]

It have shown in a lot of both math and statistics book, however, When the books define the variance, it doesn't give much attention to math based theoretical background, i wonder if some formula that ...
1
vote
2answers
102 views

Standard Normal Distribution to Normal Distribution

Given function f() which returns a random value from a standard normal distribution, is it possible to define a function g(mu, sigma) which returns a random value from a normal distribution with a ...
2
votes
1answer
63 views

Certainty that one has found all of the socks in a pile

Suppose that I have a pile of $n$ socks, and, of these, $2k$ are "mine." Each of the socks that is mine has a mate (so that there are $k$ pairs of my socks) I know $n$, but not $k$. Assume that all ...
3
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1answer
62 views

Related problems with ladder

A ladder AB of length 2a and weight w is inclined to a smooth horizontal ground(A) at an angle $\theta$ and rests against a smooth vertical wall(B). The centre of gravity G of the ladder is ...
0
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0answers
196 views

Application of Compass-and-straightedge construction

Nowadays with computers, Compass-and-straightedge construction doesn't look useful from my point of view. Probably I am just too narrow-minded, So I'm just curious, could anyone tell me any ...
1
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0answers
60 views

Present-day uses of quaternions [duplicate]

"Everybody knows" that quaternions are not used for the purposes for which they were originally intended. They are, however, used in computer graphics, and perhaps in astrogation. Besides that, what ...
5
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1answer
904 views

Unexpected Practical Applications of Calculus

Calculus shows up in a lot of places in the world. Specifically, here are three areas where I see it used the most: Optimization problems. Anything involving rates of change (e.g. velocity ...
69
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21answers
4k views

What are some examples of mathematics that had unintended useful applications much later?

I would like to know some examples of interesting (to the layman or young student), easy-to-describe examples of mathematics that has had profound unanticipated useful applications in the real world. ...
0
votes
2answers
96 views

What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley?

What is the simplest $\Bbb{R}\to\Bbb{R}$ function with two peaks and a valley? I have a set of points in $\Bbb{R^2}$ and I would like to fit a curve to the points, the points approximately lie on a ...
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0answers
34 views

Estimate the number of Local Minima

I am asking this question about local minima, but actually I started by trying to find the global maximum/minimum over a compact set, of a smooth function (the objective). The function has a random ...
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0answers
116 views

Applications of identity theorem to physics

Holomorphic functions have the property that they can be uniquely analytically continued to (almost) the entire complex plane. So, just by knowing how the function behaves at a teenie-weenie open disc ...
2
votes
2answers
166 views

What is the difference between the words chord, tangent in (a) and (b)?

(a) If a function $g$ is continuous on the closed interval $[u,v]$, where $u<v$, and differentiable on the open interval $(u,v)$, then there exists a point $c$ in $(u,v)$ such that ...
2
votes
3answers
608 views

Modelling with exact differential equations?

I'm teaching some very elementary differential equations to engineering students, and their constant question to me is "What's the use of this?" or alternatively "Where would we use this?" Now, I'm ...
1
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1answer
181 views

Graph (or Group) in Astronomy

Is there an application of graph theory (or group theory) in astronomy. If there is, refer me some references.
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2answers
214 views

Applications of matroid theory.

I am considering learning about matroid thoery. I would like to know what the applications of matroid theory are before (if they exist). Regards
1
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1answer
197 views

Problem related to tangents and normals of a curve.

I 've been trying the both sums, while first one I've no clue how to start about in the second one I a getting stuck. [1] The equation of the normal at any point $\theta$ on the curve $x=a ...
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0answers
578 views

Which is better, odd/even Hamming codes or extended Hamming code?

Is there a common way of naming or distinguishing between these two kinds of SECDED Hamming code? For now, I'm calling them "the odd+even Hamming code" and "the extended Hamming code". All the ...
1
vote
1answer
158 views

Applications of higher powers of trigonometric functions

I am after a reference (book, papers etc) about the practical applications of trigonometric functions raised to higher powers. An example is one that I have been using in my own studies: $\cos^4 ...
1
vote
2answers
626 views

Converting realtive humidity and temperature to an absolute value

I'm a software developer (although math isn't my strong point). I've developed a device to monitor/control my clothes dryer by monitoring the intake air's humidity & temperature, and the exhaust's ...
1
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3answers
268 views

What is the definition of an extremum of a function?

In calculus extremum is a common topic, but I don't understand what it is. What is the use of this extremum, especially in practical life?
1
vote
1answer
243 views

advice before i embark on my graduate studies in applied math

I'll be pursuing my graduate studies in applied math this fall. I'm hoping to gather advice in order to help me somewhat plan my courses as well as provide insight as to what is realistic or not. i ...
1
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0answers
116 views

simplified Linear programming model with time constraints

Based on my other question, here is a simpler hypothetical exercise that isolates that time constraint issue all together: A farmer has 1000 ha forest that is already at a mature age assumed to be ...
3
votes
0answers
94 views

Applications of a theorem of Cartier and Gabriel

In a representation theory course I took we stated and proved the following Theorem due to Cartier and Gabriel: Theorem: Suppose $H$ is a cocommutative Hopf algebra over a field $k$ such that $ ...
6
votes
2answers
328 views

Applications of integrals of rational functions of sine and cosine

I earlier asked this question about conformal equivalence of flat tori with embedded tori. In the ensuing thread the integral $\displaystyle\int\frac{dx}{R+\cos x}$ occurred. If I'm not mistaken, it ...
6
votes
2answers
364 views

How can I, as a future mathematician, contribute most to Smart Grid research?

After I've finished my Master's degree in mathematics, I too want to use my powers for good. One endeavour I consider good is the pursuit of the design and implementation of a Smart Grid which will, ...
2
votes
0answers
122 views

Calculate half life of esters

I'm trying to calculate the level of testosterone released from different testosterone esters. Here are some graphs of testosterone levels after single injections of 250mg of each ester. Testo U ...
3
votes
3answers
577 views

Uses of the incidence matrix of a graph

The incidence matrix of a graph is a way to represent the graph. Why go through the trouble of creating this representation of a graph? In other words what are the applications of the incidence matrix ...
1
vote
1answer
59 views

Show that if $f,g\in\mathcal{S}_r (E;F)$ and $f(v,v,…,v)=g(v,v,…,v), \forall v \in E $ then $f=g$.

Give $E, F$ vectorial spaces , where $\mathcal{S}_r (E;F)$ is the vectorial space the all applications r-linear symmetrics$f$, this is, the all applications $f:E \times E \times....\times E ...
7
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1answer
93 views

What is the best shaped blanket for my bed? (minimizing average work done in pulling it up when it falls off)

When my blanket is hanging off the bed, it's difficult to pull it up again. The more that hangs off, the harder it is; as we learn in calculus, pulling up the first half of the way is three times ...
2
votes
2answers
117 views

Name for grid system

Is there a name for a type of grid you might find in Battleship? Where coordinates don't relate to points on a grid but rather the squares themselves?