In mathematics and theoretical computer science, a set constraint is an equation or an inequation between sets of terms.Similar to systems of (in)equations between numbers, methods are studied for solving systems of set constraints. Different approaches admit different operators (like "∪", "∩", "\", and function application) on sets and different (in)equation relations (like "=", "⊆", and "⊈") between set expressions. Systems of set constraints are useful to describe (in particular infinite) sets of ground terms.They arise in program analysis, abstract interpretation, and type inference. (Wikipedia).
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
Set Theory (Part 3): Ordered Pairs and Cartesian Products
Please feel free to leave comments/questions on the video and practice problems below! In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will ser
From playlist Set Theory by Mathoma
This video defines set-builder notation and compares it to interval expressed graphically, using interval notation, and using inequalities. Site: http://mathispower4u.com
From playlist Using Interval Notation
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Determine Sets Given Using Set Notation (Ex 2)
This video provides examples to describing a set given the set notation of a set.
From playlist Sets (Discrete Math)
Sets allow you to store multiple values in one place, but unlike lists, sets are unordered and there are no duplicates. In this video, we will use IDLE to enter some set expressions and see the results. We will also learn about set-builder notation to construct sets mathematically. Get
From playlist Python
Set Theory (Part 1): Notation and Operations
Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make
From playlist Set Theory by Mathoma
Viswanath Nagarajan: Approximation Friendly Discrepancy Rounding
We consider the general problem of rounding a fractional vector to an integral vector while (approximately) satisfying a number of linear constraints. Randomized rounding and discrepancy-based rounding are two of the strongest rounding methods known. However these algorithms are very diffe
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Bartolomeo Stellato - Learning for Decision-Making Under Uncertainty - IPAM at UCLA
Recorded 01 March 2023. Bartolomeo Stellato of Princeton University, Operations Research and Financial Engineering, presents "Learning for Decision-Making Under Uncertainty" at IPAM's Artificial Intelligence and Discrete Optimization Workshop. Abstract: We present two data-driven methods t
From playlist 2023 Artificial Intelligence and Discrete Optimization
Delayed column generation in large scale integer optimization problems - Professor Raphael Hauser
Mixed linear integer programming problems play an important role in many applications of decision mathematics, including data science. Algorithms typically solve such problems via a sequence of linear programming approximations and a divide-and-conquer approach (branch-and-bound, branch-an
From playlist Data science classes
Evrim Acar - Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations
Recorded 11 January 2023. Evrim Acar of Simula Research Laboratory presents "Extracting Insights from Complex Data: Constrained Multimodal Data Mining using Coupled Matrix and Tensor Factorizations" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: In or
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights
12. Constrained Optimization; Equality Constraints and Lagrange Multipliers
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan Students continued to learn how to solve optimization problems that include equality constraints and inequality constraints, as well as the L
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Nexus Trimester - Sudipto Guha (University of Pennsylvania)
Convex Programming in Small Space Sudipto Guha (University of Pennsylvania) March 09, 2016 Abstract: I plan to talk about solving convex programs in small space - focusing on applications in streaming algorithms and distributed computing, in problems such as maximum matching and correlati
From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester
Set Theory 1.1 : Axioms of Set Theory
In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW
From playlist Set Theory