Questions tagged [engineering-mathematics]

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2answers
107 views

on exponential distributions and dot products

Let $a,b$ be two variables drawn from an exponential distribution with parameter $λ_1$. Let $c,d$ be two variables drawn from an exponential distribution with parameter $λ_2$. I am interested in the ...
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1answer
86 views

wave speed and travelling wave

I have seen a lot of work has been done in the context of travelling wave. For example the work of McKenna and Chen in Journal of Differential Equations Volume 136, Issue 2, 20 May 1997, Pages 325-355....
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1answer
138 views

On Shannon information theoretic capacity to coding distance metric translation

Shannon theory says that given a channel source variable $X$ and received variable $Y$ and channel $Y/X$ there is a capacity associated with this channel. The notion of maximum likelihood leads from ...
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1answer
310 views

Are manifolds typically taught to undergraduates outside mathematics (and possibly theoretical physics) tracks? [closed]

I'm writing my dissertation on symplectic structure-preserving algorithms for Hamiltonian systems simulation, and I'm trying to figure out how much exposition is necessary for it to be readable by ...
3
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2answers
1k views

Application for Differential Equation of higher order [closed]

We found some interesting insights in differential equations of the form $y^{(n)}(x)+F_\lambda(y(x),y'(x),...,y^{(n-1)}(x))=0$, i.e. for ordinary differential equations of $n$-th order with $n\geq2$....
10
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1answer
756 views

positions of a methane molecule with carbon atom at the origin

Let $\text{CH}_4$ be the molecule of Methane: The four hydrogen atoms form vertices of a regular tetrahedron with the carbon atom in the center of the regular tetrahedron. Here we regard all atoms to ...
6
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3answers
776 views

Survey of Engineering Problems for Mathematicians [closed]

I am looking for survey-books on open math (esp. probability) problems from engineering fields but phrased in mathematical language. There are hundreds of specialized math-engineering books out there,...
3
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2answers
329 views

What is the sum capacity of a scalar gaussian broadcast channel?

"On the Achievable Throughput of a Multiantenna Gaussian Broadcast Channel" by Giuseppe Carie and Shlomo Shamai talks, in part, about the following type of link (paraphrasing): A transmitter with $...
5
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1answer
466 views

coloring in lattice

This is a mathematical question raised from engineering and physics: Is there some established mathematical approach in filling a physical lattice with some colored basis (black and white here)? For ...
2
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0answers
145 views

A question on discrete numerical simulation on fluids mechanics

I read the paper "Stable, circulation-preseving simplicial fuids" by Elcott, et al: http://www.cs.jhu.edu/~misha/Fall09/Elcott07.pdf. It gives a structure preseving discretization of fluids. I have ...
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1answer
1k views

Software to numerically solve partial differential equation

When we use software to numerically solve differential equation, for example, using finite difference, finite element or finite volume methods, etc., is it possible that people input differential ...
4
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3answers
664 views

Questions on Discrete Exterior Calculus in numerical computing

I have several questions about Discrete Exterior Calculus (DEC) in numerical methods for solving partial differential equations in physics: (Discrete Exterious Calculus is a newly developed subject ...
11
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4answers
8k views

“You can't push a rope” [closed]

"You can't push a rope" is a wisdom saying that some engineering teachers pass along to their students. Since I'm not an engineer, I can only guess at what they mean, but it sounds to me like code ...