Questions tagged [engineering-mathematics]
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13 questions
2 votes
0 answers
134 views
How to quantify the non-commutativity of human body motion? [closed]
Some years ago, there was that question on this forum:"How to quantify noncommutativity?". I am asking that question in a context, human movement, which implies kinematic chains (like in ...
3 votes
1 answer
316 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....
2 votes
1 answer
191 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 ...
-1 votes
1 answer
869 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 votes
2 answers
2k 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 votes
1 answer
1k 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 ...
7 votes
3 answers
992 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 votes
1 answer
609 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 $t$...
5 votes
1 answer
783 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 votes
0 answers
172 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 ...
1 vote
1 answer
2k 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 votes
3 answers
1k 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 votes
4 answers
10k 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 ...