In mathematics, a semialgebraic set is a subset S of Rn for some real closed field R (for example R could be the field of real numbers) defined by a finite sequence of polynomial equations (of the form ) and inequalities (of the form ), or any finite union of such sets. A semialgebraic function is a function with a semialgebraic graph. Such sets and functions are mainly studied in real algebraic geometry which is the appropriate framework for algebraic geometry over the real numbers. (Wikipedia).
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)
Set Theory (Part 2b): The Bogus Universal Set
Please feel free to leave comments/questions on the video below! In this video, I argue against the existence of the set of all sets and show that this claim is provable in ZFC. This theorem is very much tied to the Russell Paradox, besides being one of the problematic ideas in mathematic
From playlist Set Theory by Mathoma
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
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
The perfect number of axioms | Axiomatic Set Theory, Section 1.1
In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T
From playlist Axiomatic Set Theory
Model-theoretic distality and incidence combinatorics - A. Chernikov - Workshop 1 - CEB T1 2018
Artem Chernikov (UCLA) / 29.01.2018 In this talk I will give an overview of some recent developments on the interplay of model theory, hypergraph regularity and incidence combinatorics. We will focus on the notion of a distal structure and its local variants, which provide an abstract se
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
The Algebraic Revolution in Combinatorial and (...) - M. Sharir - Workshop 1 - CEB T1 2018
Micha Sharir (Tel Aviv) / 30.01.2018 The Algebraic Revolution in Combinatorial and Computational Geometry: State of the Art For the past 10 years, combinatorial geometry (and to some extent, computational geometry too) has gone through a dramatic revolution, due to the infusion of techni
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Henri Lombardi: A geometric theory for the constructive real number system and for o-minimal struct
Title: Henri Lombardi: A geometric theory for the constructive real number system and for o-minimal structures The lecture was held within the framework of the Hausdorff Trimester Program: Constructive Mathematics. Abstract: We work in a pure constructive context, minimalist, à la Bish
From playlist Workshop: "Constructive Mathematics"
Geogebra Tutorial : Union and Intersection of Sets
Union and intersection of sets can be drawing with geogebra. Please see the video to start how drawing union and intersection of sets. more visit https://onwardono.com
From playlist SET
Artem Chernikov: Graph regularity and incidence phenomena in distal structures
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
From playlist Logic and Foundations
Seminar on Applied Geometry and Algebra (SIAM SAGA): Rekha Thomas
Date: Tuesday, November 10 at 11:00am EST (5:00pm CET) Speaker: Rekha Thomas, University of Washington Title: When Two Cameras Meet a Cubic Surface Abstract: The set of images captured by an arrangement of pinhole cameras is usually modeled by the multiview variety. The true set is in f
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)
What are Disjoint Sets? | Set Theory
What are disjoint sets? That is the topic of discussion in today's lesson! Two sets, A and B, are disjoint if and only if A intersect B is equal to the empty set. This means that two sets are disjoint if and only if they have no elements in common. This is the same as the two sets being "m
From playlist Set Theory
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
Stephane Gaubert: Tropical convexity and its relation with mean payoff games and linear
Convex sets can be defined over ordered fields with a non-archimedean valuation. Then, tropical convex sets arise as images by the valuation of non-archimedean convex sets. The tropicalizations of polyhedra and spectrahedra are of special interest, since they can be described in terms of d
From playlist Workshop: Tropical geometry and the geometry of linear programming
February 12, Khalil Ghorbal, INRIA Characterizing Positively Invariant Sets: Inductive and Topological Methods
From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra
Class 10: Kempe's Universality Theorem
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class presents open problems involving holes, sliding linkages, and generalizations of Kempe. A proof for the semi-algebraic
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
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
Carla Farsi: Proper Lie Groupoids and their structures
Talk by Carla Farsi in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on June 24, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)