Formal languages

Set constraint

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 constraint
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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

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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

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Set-Builder Notation

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

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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

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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

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Introduction to Sets and Set Notation

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

From playlist Sets (Discrete Math)

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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)

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Python: Sets and Set Builder

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

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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

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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"

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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

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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

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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

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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

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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

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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

Related pages

Term (logic) | Inequation | Type inference | Mathematics | Regular tree grammar | Equation solving | Theoretical computer science | Abstract interpretation