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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Proving a function decays polynomially
Let $f:\mathbb{R}\to\mathbb{R}$ be such that $f(x)=O\left(\left(\frac{1}{\log x}\right)^{\lambda}\right)$ as $x\to\infty$ for some constant $\lambda\in\mathbb{R}$. Can we prove that $f$ decays ...
user1022331
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Markov Process for fuel consumption
Say I have a gas station where cars arrive to refuel. I know that if the waiting times between arrivals is exponentially distributed with mean $1/\lambda$ time-units, then I can model the number of ...
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Is state space representation useful for nonlinear control systems?
I understand that the state space representation is mathematically equivalent to the transfer function representation for linear systems, and that it allows us to solve the corresponding DE by finding ...
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Efficiency of RREF algorithms
Compute the RREF of the following matrix :$$\begin{bmatrix}1&-1&2&-3&7\\4&0&3&1&9\\2&-5&1&0&-2\\3&-2&-2&10&-12\end{bmatrix}$$
My friend ...
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Is measure theory only for integrals?
I am trying to self-study probabilistic measure theory after completing my undergrad degree, and I am curious if there are more interesting applications of measure theory aside from Lebesgue ...
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If his overall profit for the year was $\$104.50$, and he invested $300 more in commodities than in REITs, how much was allocated to each investment?
Through monthly deductions from his salary, Noah managed to accumulate 4800 per month last year for his future sabbatical trip. His savings account yielded 4.2% interest, his real estate investment ...
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Applications of Gröbner bases for beginners
What are some applications of Gröbner bases that could be interesting to a group of students that more or less only studied Chapter 1 and Chapter 2 of Ideals, Varieties, and Algorithms by David A. Cox ...
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Are there any applied mathematics problems which require a set with cardinality greater than the Reals?
I am just asking in general if problems arise in physics, astronomy, or biology which require large cardinalities, i.e. beyond the Reals?
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Best way to cut a pineapple ring?
I like to prepare pineapples by first cutting it into rounds and then slicing off the skin with a roast beef slicer. This leaves me with a hexagon "ring" around a circular core:
I then don'...
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Where to apply binomial expansion?
I would like to know where I could apply the expression as part of other equation
$$\bigg( 1 + \frac{x}{r} \bigg)^r$$
considering $r \in Z$. It means, in what kind of problem I can use this expression....
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Help in understanding this exercise (Linear Algebra)
I need some help in understanding the precise request of this exercise.
Let the vectors of the plane be identified with oriented segments exiting from a fixed point, and let's identify $\mathcal{V}^2$...
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Useful length of Pi?
Not sure where this really fits, so am trying Mathematics first. Feel free to migrate to another StackExchange forum if more appropriate elsewhere. So I was listening to a podcast yesterday that was ...
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Perplexity over the proof of linearity for an application
Be $F(x, y) = 3x + 4y$. I have to prove it's a linear appliction.
I am confused about the way to proceed. Is this the right way to proceed?
$$F(x_1 + x_2, y_1 + y_2) = 3(x_1 + x_2) + 4(y_1 + y_2) = ...
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Is this vector function linear?
I am having problems in understanding the following exercise: $$F: \mathbb{R}\to \mathbb{R}^2; \qquad F(x) = (2x, 3y)$$
I have to say if it's linear.
I am having troubles in understanding where does ...
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Error while calculating force in 2D flow around a circle
This is statement of the exercise:
In this exercise we consider as example the case of a disk of radius R centered at the origin of coordinates immersed in a fluid of density σ and velocity field $u(x,...
