Optimization algorithms and methods

In mathematical optimization, the active-set method is an algorithm used to identify the active constraints in a set of inequality constraints. The active constraints are then expressed as equality constraints, thereby transforming an inequality-constrained problem into a simpler equality-constrained subproblem. An optimization problem is defined using an objective function to minimize or maximize, and a set of constraints that define the feasible region, that is, the set of all x to search for the optimal solution. Given a point in the feasible region, a constraint is called active at if , and inactive at if Equality constraints are always active. The active set at is made up of those constraints that are active at the current point . The active set is particularly important in optimization theory, as it determines which constraints will influence the final result of optimization. For example, in solving the linear programming problem, the active set gives the hyperplanes that intersect at the solution point. In quadratic programming, as the solution is not necessarily on one of the edges of the bounding polygon, an estimation of the active set gives us a subset of inequalities to watch while searching the solution, which reduces the complexity of the search. (Wikipedia).

What is the Roster Method? (Roster Form) | Set Theory, Writing Sets, Expressing Sets

The roster method is one of several set notations you can use to write a set. It is perhaps the easiest understand, but is only useful for writing out sets when they are finite and small in size, or if they are dictated by an easy to describe pattern (that is finite or infinite). If you ar

From playlist Set Theory

Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

Introduction to Sets and Set Notation

This video defines a set, special sets, and set notation.

From playlist Sets (Discrete Math)

What is set subtraction? In this video we go over that, the set minus set operation, and an example of subtraction in set theory. This is a handy concept to grasp to understand the complement of a set and universal sets, which I also have videos on. Links below. I hope you find this vide

From playlist Set Theory

How to Identify the Elements of a Set | Set Theory

Sets contain elements, and sometimes those elements are sets, intervals, ordered pairs or sequences, or a slew of other objects! When a set is written in roster form, its elements are separated by commas, but some elements may have commas of their own, making it a little difficult at times

From playlist Set Theory

Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets

Here is a method for completely listing the subsets of a given set using tree diagrams. It's a handy way to make sure you don't miss any subsets when trying to find them. It's not super efficient, but it is reliable! The process is pretty simple, we begin with the empty set, and then branc

From playlist Set Theory

Totient Function - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

Arrays can be used as sets, but Julia has a dedicated Set() function that eliminates any duplicate entries, proper for use in set theorey.

From playlist The Julia Computer Language

What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go

From playlist Set Theory

Network Operations | Android App Development Tutorial For Beginners

đź”ĄPost Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=NetworkOperations-zsOLq4iuXhU&utm_medium=Descriptionff&utm_source=youtube đź”ĄCaltech Coding Bootcamp (US Only): https://www.simplilearn.

From playlist Android App Development Tutorial Videos [Updated]

WordPress Plugin Development - Part 24 - Create Modular Plugin Sections

:: Support Me :: https://www.patreon.com/alecaddd http://www.alecaddd.com/support-me/ http://amzn.to/2DsPZUn Check out Elementor: http://bit.ly/2q10nRo NordVPN: https://go.nordvpn.net/SHqa :: Join the Forum :: https://forum.alecaddd.com/ GitHub Repo: http://bit.ly/2gvDHAJ :: Tutorial S

From playlist WordPress Plugins Development Tutorials

Android Activity Life Cycle Explained | Activity Life Cycle Methods | Android Tutorial | Edureka

** Android Certification Training: https://www.edureka.co/android ** This Edureka video on "Android Activity Life Cycle" will brief you about the activity life cycle methods and how to implement the same. Below are the topics discussed in this Kotlin Android tutorial: 0:44 - What is Andro

From playlist Android Tutorial - Java Essentials for Android (Part I)

Battery Optimization | Android App Development Tutorial For Beginners

đź”ĄPost Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=BatteryOptimization-ihtyTpOfbMc&utm_medium=Descriptionff&utm_source=youtube đź”ĄCaltech Coding Bootcamp (US Only): https://www.simplilea

From playlist Android App Development Tutorial Videos [Updated]

Paper Read Aloud: Interactive Refinement of Cross-Lingual Word Embeddings

An experiment! I recorded this a while ago but didn't post it until now because ... 2020. A long time ago, a blind student once asked me to record myself reading my papers when he found that I do that anyway during my editing process, so I finally did it. This is an experiment, feedback

From playlist Papers Read Aloud

WordPress Plugin Development - Part 12 - Starter Plugin Structure

:: Become a Patreon :: https://www.patreon.com/alecaddd :: Join the Forum :: https://forum.alecaddd.com/ :: Support Me :: http://www.alecaddd.com/support-me/ http://amzn.to/2pKvVWO GitHub Repo: http://bit.ly/2gvDHAJ :: Tutorial Series :: WordPress 101 - Create a theme from scratch: htt

From playlist WordPress Plugins Development Tutorials

Android Development Tutorial 2

Get the Cheat Sheet Here: http://goo.gl/QJvXz Best Android Book : http://goo.gl/uPhXFI In this tutorial, I decided to cover all of the topics I would need, so that in every tutorial that follows I can just make apps. Don't try to memorize everything! Here I'm just covering a bunch of thi

From playlist Android Development Tutorial

GoGaRuCo 2010 - Arel: The Ruby Relational Algebra Library by: Bryan Helmkamp

Arel (also known as ActiveRelation) is the Ruby relational algebra engine powering ActiveRecord in Rails 3. By replacing string concatenation with an object model to express SQL queries, Arel had a big immediate impact on the ActiveRecord codebase and opens the door for more powerful Objec

From playlist GoGaRuCo 2010

Android Development for Beginners - Full Course

Learn how to develop an android app from scratch in this full course for beginners. No prior programming experience required! Here is the 2nd part of this course (also free!): https://youtu.be/RcSHAkpwXAQ In this course, you will learn how to build a real-word Android application from scr

From playlist Java Tutorials

Set-Roster vs Set-Builder notation

Learning Objectives: 1) Write a set with infinitely many elements using Set-Roster notation 2) Write a set using Set-Builder notation 3) Convert between these two different notations for sets. **************************************************** YOUR TURN! Learning math requires more tha

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

Unity - lesson 8 - destroy and instantiate

From playlist Unity game engine