All Questions
Tagged with applications optimization
44
questions
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26
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Can we solve the functions describing the bend of a cable at rest fixed at two positions?
Assume we have a cable which endpoints is attached to two points at $(x,h)$ and $(x+\Delta_x,h)$.
Further assume it has some mass density distribution, $\rho(m),m \in [0,l]$ and is of some length $l ...
- 26.1k
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100
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What are some example use cases for Newton's Method being extended to higher dimensions?
I'm currently working on a project to attempt to optimize a program that runs Newton's Method in higher dimensions - the actual computer science isn't important. However, what is a lot more important ...
- 1,908
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24
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what is the meaning of eigenvalue of Dirichlet laplacian in the real life (physics...) [duplicate]
I am asking a question that I have already asked, but which did not have any success for the answers
let $\lambda_{1}(\Omega),\lambda{2}(\Omega),\lambda_{3}(\Omega)...$ the eigenvlues of the laplacian ...
- 704
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whats is the applications of the minimization of eigenvalue in the real life ( physics,the natural sciences...)
let $\lambda_{1}(\Omega),\lambda{2}(\Omega),\lambda_{3}(\Omega)...$ the eigenvlues of the laplacian Operator with Dirichlet condition on the boundary on $\Omega $
the classical spectrale optimisation ...
- 704
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Projection of sparse weighted graph into $\mathbb{Z}$
Problem statement in the title is simplified and this question is actually quite open-ended: I have a sparse undirected simple weighted graph $G$ and need to find an injective function $G \rightarrow \...
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Details on an anecdote about optimizing with boundary conditions (the highest point in Florida)
Back in my undergraduate days, as a motivational example in real analysis for the importance of checking boundary conditions when doing global optimization, my professor related a story about how ...
- 4,181
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3
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"Nice" applications of Lagrange multipliers
What are some 'nice' real-world applications of Lagrange multipliers that could be used to motivate the concept to students in an introductory optimization course?
I like the pressure as a Lagrange ...
- 3,997
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41
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A question about fuzzy differential (Hukuhara and Generalized Hukuhara Diffrentiability): [duplicate]
I know this question has no relevance to the analysis, but it seems some friends about all the information they contain mathematical topics. So please forgive me
I have a question about about fuzzy ...
- 59
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1
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482
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Building a highway at the minimum cost
I am asked the following question:
You are responsible for building a highway that connects A to B. There's an old highway 50 miles south that can be restored at the cost of \$300.000,00 per mile. ...
- 1,927
3
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Applications of chemical reaction networks
I have recently read a bit on chemical reaction network theory. I was wondering whether the mathematical concepts have cross-field applications like neural networks. For example, can I apply chemical ...
- 306
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Optimization problem, finding the dimensions of the container of least cost.
A closed rectangular container with a square base is to have a volume of $2000$ cubic centimeters. It costs twice as much per square centimeter for the top and bottom as it does for ...
- 151
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63
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How to plan a ride by several buses?
Given
a source location and a destination location, and
an acceptable range of departure times, or an acceptable range of arrival times, and
a schedule of available bus routes (e.g. http://www....
- 47.7k
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972
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In optimization, what is the point of finding argmax of a probability density function?
For example, I am given a line fitting problem
Find pair $(a,b)$ that best fits $y_i = ax_i + b + z_i$, where $z_i$ is iid gaussian noise
Why would we try to find:
$(a^*, b^*)$ = argmax $\ p_{x,y}(...
- 11.3k
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1
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723
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Who knows Krotov's Method in Optimal Control Theory
I'm finishing my PhD thesis about applications of optimal control
theory in the field of energy harvesting. In the course of my PhD I dealt with different ways to compute optimal controls, and I found ...
- 816
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Optimisation Problem for Pipe Nesting
I work in a company where we are supposed to produce and send pipes using trucks to buyers. Pipes of smaller diameter can be nested inside pipes of larger diameter while sending to minimize number of ...
