Linear programming | Convex optimization
In optimization problems in applied mathematics, the duality gap is the difference between the primal and dual solutions. If is the optimal dual value and is the optimal primal value then the duality gap is equal to . This value is always greater than or equal to 0 (for minimization problems). The duality gap is zero if and only if strong duality holds. Otherwise the gap is strictly positive and weak duality holds. In general given two dual pairs separated locally convex spaces and . Then given the function , we can define the primal problem by If there are constraint conditions, these can be built into the function by letting where is the indicator function. Then let be a perturbation function such that . The duality gap is the difference given by where is the convex conjugate in both variables. In computational optimization, another "duality gap" is often reported, which is the difference in value between any dual solution and the value of a feasible but suboptimal iterate for the primal problem. This alternative "duality gap" quantifies the discrepancy between the value of a current feasible but suboptimal iterate for the primal problem and the value of the dual problem; the value of the dual problem is, under regularity conditions, equal to the value of the of the primal problem: The convex relaxation is the problem arising replacing a non-convex feasible set with its closed convex hull and with replacing a non-convex function with its convex closure, that is the function that has the epigraph that is the closed convex hull of the original primal objective function. (Wikipedia).
Solving a multi-step equation by multiplying by the denominator
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solve an equation with a variable on both sides of the equation
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving a multi-step equation with fractions and variable on both sides
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving an equation with infinite many solutions 2a+3=3+2a
👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Easy way to solve and graph an inequality with a variable on both sides
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
From playlist Solve and Graph Inequalities | Multi-Step Without Parenthesis
Lec 28 | MIT 18.086 Mathematical Methods for Engineers II
Linear Programming and Duality View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Solving an equation with distributive property on both sides
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Lecture 18 | Convex Optimization I (Stanford)
Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on the interior-point methods of electrical engineering and convex optimization for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and solving c
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From playlist Solve Multi-Step Equations......Help!
Review Questions (Simultaneous Equations)
More resources available at www.misterwootube.com
From playlist Types of Relationships
Ivan Corwin: Integrable probability - Lecture 1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
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Symmetries, Duality, and the Unity of Physics (Lecture - 03) by Nathan Seiberg
DATE & TIME 12 January 2018, 11:00 to 12:30 VENUE Ramanujan Lecture Hall, ICTS Bangalore RESOURCES Lecture 1: 8 January 2018, 16:00 to 17:30 Title: Symmetries, Duality, and the Unity of Physics Abstract: Global symmetries and gauge symmetries have played a crucial role in physics. The
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An introduction to the constrained optimization problems. Lagrangian, Lagrange multipliers, and Karush Kuhn Tucker conditions.
From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)
From playlist Contributed talks One World Symposium 2020
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Nathan Seiberg Institute for Advanced Study; Faculty, School of Natural Science February 20, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Solving a multi-step inequality with variables on both sides
👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-ste
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Dynamics of 2+1-dimensional quantum field theories (Lecture - 04) by Nathan Seiberg
DATE & TIME 12 January 2018, 11:00 to 12:30 VENUE Ramanujan Lecture Hall, ICTS Bangalore RESOURCES Lecture 1: 8 January 2018, 16:00 to 17:30 Title: Symmetries, Duality, and the Unity of Physics Abstract: Global symmetries and gauge symmetries have played a crucial role in physics. The
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Lecture 8 | Convex Optimization I (Stanford)
Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on duality in the realm of electrical engineering and how it is utilized in convex optimization for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizi
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From playlist How to Solve Multi Step Equations with Variables on Both Sides
2020 Theory Winter School: Srinivas Raghu
Topic: Boson-ferimon duality in strongly coupled field theories For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school
From playlist 2020 Theory Winter School