In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them. Unlike the Euclidean definition, this does not presume that the objects under consideration lie in a common space. Intersection is one of the basic concepts of geometry. An intersection can have various geometric shapes, but a point is the most common in a plane geometry. Incidence geometry defines an intersection (usually, of flats) as an object of lower dimension that is incident to each of original objects. In this approach an intersection can be sometimes undefined, such as for parallel lines. In both cases the concept of intersection relies on logical conjunction. Algebraic geometry defines intersections in its own way with intersection theory. (Wikipedia).
What is an Intersection? (Set Theory)
What is the intersection of sets? This is another video on set theory in which we discuss the intersection of a set and another set, using the classic example of A intersect B. We do not quite go over a formal definition of intersection of a set in this video, but we come very close! Be su
From playlist Set Theory
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
From playlist Intersection Theory
When do vector functions intersect?
Free ebook http://tinyurl.com/EngMathYT Example discussing intersection of curves of two vector functions on one variable.
From playlist Engineering Mathematics
How to Find the Intersection of Two Sets with Numbers Short Video
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Find the Intersection of Two Sets with Numbers Short Video
From playlist Functions, Sets, and Relations
Union vs Intersection (Set Theory)
What is A union B? What is the union of sets? What is the intersection of sets? I've talked about these topic before, but in this video we will look at unions and intersections of sets side by side. So get ready to learn about these very cool set operations! I hope you find this video he
From playlist Set Theory
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
What are parallel lines and a transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
What are the Angle Relationships for Parallel Lines and a Transversal
👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
In this video, I discuss the finite intersection property, which is a nice generalization of the Cantor Intersection Theorem and a very elegant application of compactness. Enjoy this topology-filled adventure! Compactness: https://youtu.be/xiWizwjpt8o Cantor Intersection Theorem: https:/
From playlist Topology
Measure Theory 1.4 : Outer Measures and their Measures
In this video, I finish the theorem from the previous video, and show that that yields a restriction on which it is a measure. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Measure Theory
Symplectic implosion - Lisa Jeffrey
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Symplectic implosion Speaker: Lisa Jeffrey Affiliation: University of Toronto Date: January 14, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Proof: Set Union Distributes Over Intersection | Set Theory
The distributive property we all know and love also applies for set union and how it distributes over set intersection. We'll prove that union distributes over intersection in today's set theory lesson! Lesson on subsets: https://www.youtube.com/watch?v=-4KLugkLwHQ Lesson on set intersect
From playlist Set Theory
This lecture gives an introductory overview of the Chow ring of a nonsingular variety. The idea is to define a ring structure related to subvarieties with the product corresponding to intersection. There are several complications that have to be solved, in particular how to define intersec
From playlist Algebraic geometry: extra topics
Proof: A is a Subset of B iff A intersect B Equals A | Set Theory, Subsets
A is a subset of B if and only if A intersect B equal A. We will prove this set theory result in today's video set theory lesson! The proof is straightforward and follows easily from definitions. Always good to get some practice learning how to use our fundamental set theory definitions
From playlist Set Theory
Power Set of Intersection Equals Intersection of Power Sets | Set Theory
We'll prove that P(A intersect B) = P(A) intersect P(B). That is, the power set of an intersection is the intersection of the power sets! Just as beautiful as we would hope! We prove this the usual way, first proving P(A intersect B) is a subset of P(A) intersect P(B) and then that P(A) in
From playlist Set Theory
Counting with Triple Intersections // Example & Formula
Suppose three sets overlap such that they have a triple intersection of all three sets. How many elements are there total? In this video we will explore a counting argument when we have a Venn Diagram which is a union of three sets, and will see how to use the data about how many there are
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Math 101 Introduction to Analysis 113015: Compact Sets, ct'd
Compact sets, continued. Recalling various facts about compact sets. Compact implies infinite subsets have limit points (accumulation points), that is, compactness implies limit point compactness; collections of compact sets with the finite intersection property have nonempty intersectio
From playlist Course 6: Introduction to Analysis
Intersections of Linear Graphs
More resources available at www.misterwootube.com
From playlist Basic Linear Relationships
Set Operations & Proofs Involving Sets
In this video, I define set operations such as union, intersection, difference, and complement. Then I go over an example of using these operations. I finish the video by going through a few simple proofs for how to prove that a set is a subset and that two sets are equal. Thanks for wat
From playlist Proofs