Theorems in projective geometry | Incidence geometry
In projective geometry, an intersection theorem or incidence theorem is a statement concerning an incidence structure β consisting of points, lines, and possibly higher-dimensional objects and their incidences β together with a pair of objects A and B (for instance, a point and a line). The "theorem" states that, whenever a set of objects satisfies the incidences (i.e. can be identified with the objects of the incidence structure in such a way that incidence is preserved), then the objects A and B must also be incident. An intersection theorem is not necessarily true in all projective geometries; it is a property that some geometries satisfy but others don't. For example, Desargues' theorem can be stated using the following incidence structure: * Points: * Lines: * Incidences (in addition to obvious ones such as ): The implication is then βthat point R is incident with line PQ. (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
From playlist Intersection Theory
Ex 2: Find the Intersection of Two Linear Functions
This video explains how to find the point of intersection of two linear functions. It is shown algebraically and verified graphically. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Solving Systems of Equations by Graphing
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
What is the Alternate Exterior Angle Converse Theorem
π 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 is the Corresponding Angle Converse Theorem
π 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
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
What is the Consecutive Interior Angle Converse Theorem
π 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 is the Alternate Interior Angle Converse Theorem
π 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
G. Binyamini - Point counting for foliations over number fields
We consider an algebraic $V$ variety and its foliation, both defined over a number field. Given a (compact piece of a) leaf $L$ of the foliation, and a subvariety $W$ of complementary codimension, we give an upper bound for the number of intersections between $L$ and $W$. The bound depends
From playlist Ecole d'Γ©tΓ© 2019 - Foliations and algebraic geometry
algebraic geometry 3 Bezout, Pappus, Pascal
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives more examples and applications of algebraic geometry, including Bezout's theorem, Pauppus's theorem, and Pascal's theorem.
From playlist Algebraic geometry I: Varieties
Big fiber theorems and ideal-valued measures in symplectic topology - Yaniv Ganor
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Big fiber theorems and ideal-valued measures in symplectic topology Speaker: Yaniv Ganor Affiliation: Technion Date: October 22, 2021 In various areas of mathematics there exist "big fiber theorems", these a
From playlist Mathematics
Benson Farb, Part 3: Reconstruction problems in geometry and topology
29th Workshop in Geometric Topology, Oregon State University, June 30, 2012
From playlist Benson Farb: 29th Workshop in Geometric Topology
Mike Zieve: Unlikely intersections of polynomial orbits
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 Jean-Morlet Chair - Shparlinski/Kohel
Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture - Umberto Zannier
Umberto Zannier Scuola Normale Superiore de Pisa, Italy May 5, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
The Green - Tao Theorem (Lecture 2) by D. S. Ramana
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Jonathan Pila - Multiplicative relations among singular moduli
December 15, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. I will report on some joint work with Jacob Tsimerman concerning multiplicative relations among singular moduli. Our results rely on the "Ax-Schanuel'' theorem for the j
From playlist Analysis, Spectra, and Number Theory - A Conference in Honor of Peter Sarnak on His 61st Birthday
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
Fooling intersections of low-weight halfspaces - Rocco Servedio
Computer Science/Discrete Mathematics Seminar I Topic: Fooling intersections of low-weight halfspaces Speaker: Rocco Servedio Affiliation: Columbia University Date: October 30, 2017 For more videos, please visit http://video.ias.edu
From playlist 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