Calculus of variations

Chaplygin problem

In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an airplane in a constant wind field should take in order to encircle the maximum possible area in a given amount of time. The airplane is assumed to be constrained to move in a plane, moving at a constant airspeed v, for time T, and the wind is assumed to move in a constant direction with speed w. The solution of the problem is that the airplane should travel in an ellipse whose major axis is perpendicular to w, with eccentricity w/v. (Wikipedia).

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How to solve Chebyshev's equation

I show how to solve Chebyshev's differential equation via an amazing substitution. The substitution results in forming a new differential equation with constant coefficients.

From playlist Differential equations

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B05 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

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B06 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

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B04 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

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B07 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

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Introduction to Parametric Equations

This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/

From playlist Parametric Equations

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C49 Example problem solving a system of linear DEs Part 1

Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.

From playlist Differential Equations

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Solve the general solution for differentiable equation with trig

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Differential Equations

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Chebyshev's inequality

In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!

From playlist Real Analysis

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The Complexity of Gradient Descent: CLS = PPAD ∩ PLS - Alexandros Hollender

Computer Science/Discrete Mathematics Seminar I Topic: The Complexity of Gradient Descent: CLS = PPAD ∩ PLS Speaker: Alexandros Hollender Affiliation: University of Oxford Date: October 11, 2021 We consider the problem of computing a Gradient Descent solution of a continuously different

From playlist Mathematics

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Lecture 20 - Introduction to NP-completeness

This is Lecture 20 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture22.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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19. Complexity

MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Erik Demaine View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This lecture discusses computational complexity and introduces termi

From playlist MIT 6.006 Introduction to Algorithms, Spring 2020

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Problem Solving Skills | How to Improve Your Problem Solving Skills? | Softskills | Simplilearn

This video on how to improve your problem-solving skills is focused on excellent tips that will enhance your Problem-Solving skill like Decision making, Critical Thinking, Active listening, Creativity, and many more, both in your personal and professional life. In this tutorial, we will se

From playlist Interview Tips | Interview Tips in English | Simplilearn 🔥[2022 Updated]

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Defining Problems as a Tool for Maximizing Systemic Impact

This webinar will explain the relationship between how we define problems and our ability to forecast the positive and negative externalities associated with a problem’s potential solution set. Matt will draw on his personal experience and background in commodity corn farming to demonst

From playlist Leadership & Management

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5 Simple Steps for Solving Dynamic Programming Problems

In this video, we go over five steps that you can use as a framework to solve dynamic programming problems. You will see how these steps are applied to two specific dynamic programming problems: the longest increasing subsequence problem and optimal box stacking. The five steps in order ar

From playlist Problem Solving

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Lecture 23 - Cook's Theorem & Harder Reductions

This is Lecture 23 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture25.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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Lecture 21 - Reductions

This is Lecture 21 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture23.pdf

From playlist CSE373 - Analysis of Algorithms - 1997 SBU

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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NP Completeness III - More Reductions - Lecutre 17

All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c

From playlist ArsDigita Algorithms by Shai Simonson

Related pages

Mathematics | Ellipse | Calculus of variations | Derivative | Constraint (mathematics)