In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves intersect to higher dimensions, multiple (more than 2) curves, and accounting properly for tangency. One needs a definition of intersection number in order to state results like Bézout's theorem. The intersection number is obvious in certain cases, such as the intersection of x- and y-axes which should be one. The complexity enters when calculating intersections at points of tangency and intersections along positive dimensional sets. For example, if a plane is tangent to a surface along a line, the intersection number along the line should be at least two. These questions are discussed systematically in intersection theory. (Wikipedia).
How to Find the Intersection of Two Sets with Numbers Short Video
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From playlist Functions, Sets, and Relations
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
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
Angle of Intersection Between Two Curves
Multivariable Calculus: Find the angle of intersection between the curves r1(t) = (1+t, t, t^3) and r2(t) = (cos(t), sin(t), t^2) at the point (1, 0, 0). For more videos like this one, please visit the Multivariable Calculus playlist at my channel.
From playlist Calculus Pt 7: Multivariable Calculus
Ex: Determine the Point of Intersection of a Plane and a Line.
This video explains how to determine the intersection point of a plane and a line. http://mathispower4u.com
From playlist Equations of Planes and Lines in Space
Intersection of circles and lines
Practice finding the intersection of a circle and a line
From playlist Geometry
A-Level Further Maths F5-03 Intersections: Finding the Intersection of a Line and a Plane
Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dean @deanencoded for designing my openin
From playlist A-Level Further Maths F5: Intersections
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)
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
Geometry - Ch. 1: Basic Concepts (5 of 49) How Many Intersections are There? Example
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate and find the general equation of finding the number of intersections given a certain number of lines. For example, the number of intersection(s) given 2, 3, 4, 5,..., n number of lines. Nex
From playlist GEOMETRY CH 1 BASIC CONCEPTS
Coprime Probabilities, and the Riemann zeta function
The principal of inclusion-exclusion is proven, before establishing that the greatest common divisor or two randomly chosen positive integers is 6 over pi squared. My Twitter: https://twitter.com/KristapsBalodi3 Intro:(0:00) The principal of inclusion-exclusion:(1:29) A related lemma:(13
From playlist Miscellaneous Questions
On the Kudla-Rapoport conjecture - Chao Li
Joint IAS/Princeton University Number Theory Seminar Topic: On the Kudla-Rapoport conjecture Speaker: Chao Li Affiliation: Columbia University Date: April 9, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Maths for Programmers Tutorial - Full Course on Sets and Logic
Learn the maths and logic concepts that are important for programmers to understand. Shawn Grooms explains the following concepts: ⌨️ (00:00) Tips For Learning ⌨️ (01:32) What Is Discrete Mathematics? ⌨️ (03:45) Sets - What Is A Set? ⌨️ (06:22) Sets - Interval Notation & Common Sets ⌨️ (
From playlist Full Courses in One Video
Counter-Intuitive Probability: Buffon's Needle Problem. Pi (π) From Probability!
A needle of length 1 is randomly dropped on a floor with horizontal lines 2 units apart. What is the probability the needle intersects one of the horizontal lines? The answer might surprise you--it involves the constant π! This is known as Buffon's Needle Problem. In this video I present
From playlist Pi
Intermediate Algebra Lecture 9.1 Part 1
Intermediate Algebra Lecture 9.1 Part 1: Inequalities with "And" and "Or"
From playlist Intermediate Algebra Playlist 1
Determine Sets Involving Unions, Intersections, and Compliments Using a Venn Diagram
This video explains how to determine a variety of sets involving intersections, unions, and compliments using a Venn diagram.
From playlist Sets (Discrete Math)
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
Point of Intersection Between a Line and Plane (2 Examples)
I work through 2 examples of finding the intersection point between a point and a line. Example 1) Find intersection point between a plane given in Cartesian form and a line. 2:06 Example 2) Find the intersection point when the equation of the plane and the equation of the line are in
From playlist Vector Math Lessons