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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Minimize travel time of a group of people with a motorbike
Problem: A group of $n$ people ($n\geq2$) want to travel from A to B but they can only either walk or use a motorbike (fit 2 people) [note that there is exactly $1$ motorbike for them to use]. Given ...
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Can you help me for prove this Elzaki transform? [closed]
a) proof
$$ E[tf'(t)]=v^2 \frac{d}{dv} [\frac{T(v)}{v}-vf(0)]-v[\frac{T(v)}{v}-vf(0)]$$
Using Elzaki transform
$$E[tf'(t)]=v^2 \frac{d}{dv} [E(f'(t))]-vE(f'(t)) $$
using$$ E[f'(t)]=\frac{T(v)}{v}-vf(...
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Probability that random variables with multinomial distribution have a common divisor greater than 1
Consider an election in which $k$ candidates compete: Let $N_{i}$ denote the number of votes for candidate $i$ in the election.
How can we reasonably estimate the probability that the number of votes ...
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If $\frac{p}{p+q}$ is a negative real number, what can I deduce about complex $p$ and $q$? [closed]
Let $p, q$ be complex numbers with non-negative real parts and arbitrary imaginary parts. If $\frac{p}{p+q}$ is a negative real number, what can I deduce about $p$ and $q$?
Motivation: This question ...
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Critical Simplices of a Discrete Gradient Vector Field
I just started learning about discrete Morse Theory and I got stuck on a corollary that in the book I'm reading is described as simply following from a lemma.
Denote by $P$ an almost linear metric ...
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How to formally justify fudge factor in this difference equation solution?
In Exercise $11$ from Section $3.3$ of Differential Equations With Boundary Value Problems by Polking, Boggess, and Arnold, we first develop the difference equation $P[n + 1] = (1 + \frac{I}{m})P[n],\ ...
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pow and its relative error
Investigating the floating-point implementation of the $\operatorname{pow}(x,b)=x^b$ with $x,b\in\Bbb R$ in some library implementations, I found that some pow ...
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Standard definition of a game in game theory
Sorry for my naive question, but at the moment I can't quite figure it out.
I'm consulting various documents on game theory in order to get the standard definition of what a game (and an associated ...
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How to untangle the ODE $\frac{dx}{dt} = c + \frac{px}{l_0 + pt}$? [closed]
In working on this problem, I came up with the following differential equation:
$$
\frac{dx}{dt} = c + \frac{px}{l_0 + pt}
$$
where $x$ is the dependent variable, $t$ the independent, and all others ...
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How can we use analysis to determine the error in computing a multidimensional function (Zorich)?
What is the relative error $\delta = \frac{|\Delta f|}{|f|}$ in computing the value of a function $f(x,y,z)$ at a point $(x,y,z)$ whose coordinates have absolute errors $\Delta x, \Delta y, \Delta z$?
...
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A first course in abstract algebra Fraleigh 8th ed Section 5 Exercise 65
Cracker Barrel Restaurants place a puzzle called “Jump All But One Game” at each table. The puzzle starts with golf tees arranged in a triangle as in Figure 5.29a where the presence of a tee is noted ...
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Books on the applications of group theory.
Background:
Applications abound!
I am aware of applications of group theory in general:
cryptography.
physics.
chemistry.
virology.
computer science.
anywhere there's symmetry.
Outside those broad ...
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Maximum and Minimum of a cubic function
Maximum value of function
$y = x^3-5x^2+2$
a) 5
b) $\infty$
c) 2
d) -5
We know to find maximum value of a function we take first derivative of the function and make it zero and get some point. And ...
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Appropriate model to represent negative numbers
Negative numbers can be introduced by means of temperature, but it does not make sense to multiply two negative temperatures. Moreover, it is even objectionable to say 20°C is twice as hot as 10°C. A ...
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Software for Exportable NURBS surfaces from Parametric Equations $x=f(u, v), y=f(u, v), z=f(u, v)$ (Must be Suitable for Engineering)
The title pretty much says it all. Is there any software out there that lets you input 3D parametric equations without having to go to the trouble of writing a bunch of code and then lets you export ...
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