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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Application of threshold functions from random graph theory
I would like to know if anyone knows about some applications/models where those threshold functions from random graph theory, defined by
$$
\lim_{n \to \infty} P(\mathbb{G}_{n,p} \in \mathcal{F}) =
...
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Using the trapezoidal rule for the Maxwell-Boltzman function
Background
I approached my physics professor with question 1 from this LibreTexts resource. (at the bottom of the page), to better understand the material via self-study.
Question
Using the Maxwell-...
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Rate of change of ordinates and abscissae
The question that I am stuck at goes like this:
On the curve $y^3=27x$, the absolute value of rate of change of ordinate is greater than the absolute value of rate of change of abscissa in the ...
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What are the use cases of the Dirichlet energy in computer vision?
I am reading a paper, in the context of computer vision, that mentions the "famous" Dirichlet energy. I am not familiar with this Dirichlet energy, but apparently we can minimise it. What ...
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What do physicists mean when they say something is "not a vector"?
It's common for physicists to say that not every 3-tuple of real numbers is a vector:
“Well, isn’t torque just a vector?” It does turn out to be a vector, but we do not know that right away without ...
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Are there exciting problems left in the mathematics of signal processing?
Today, I came across the Fourier series. The lecturer told us that, apart from solving PDEs (as we are using them), they constitute the foundation of signal processing. Hence, I went online and had a ...
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What are practical examples of Toeplitz matrices?
A Toeplitz matrix is one in which each descending diagonal from left to right is constant. Given that structure, matrix operations are sometimes much faster. Where are Toeplitz matrices likely to ...
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Numerically computing eigenvalues -- what is it useful for?
Cross-posted on Scientific Computing Stack Exchange
Are there real-world applications that call specifically for eigenvalues rather than singular values?
Top eigenvalue is useful to establish ...
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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 theory ...
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How is rate of change dx/dt in ladder problem doesn't match the actual rate of change.
The pictures above describes the question. We have to find the rate of change in x-axis direction.
The answer is derived from implicit differentiation and is $4/3$. The process is: [y(t) gives y-axis ...
CommunityBot
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What is the Divergence of a Spherically Symmetric Vector Fields?
A vector field is spherically symmetric about the origin if, on every sphere centered at the
origin, it has constant magnitude and points either away from or toward the origin. A vector
field that is ...
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Application for interpolating periodic B-spline
I need to draw a cubic C^2 continous, closed (periodic boundary conditions) B-spline which should interpolate a set of control points. If possible it would be great if I could specify the knot vector. ...
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Formula like Elo rating but for games where the outcome is numeric?
I'm working on a problem that involves ranking based on pairwise comparisons (it's for a scientific problem, not actually for games). My comparisons return a numerical score (in practice roughly ...
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Applied Math Foundational Books
I have a BA in mathematics from a pretty good school, where I effectively exhausted the mathematics sequence. The sequence mostly focused on pure math (including measure theoretic real analysis and ...
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Is $x^3$ really an increasing function for all intervals?
I had an argument with my maths teacher today...
He says, along with another classmate of mine that $x^3$ is increasing for all intervals. I argue that it isn't.
If we look at conditions for ...
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