In algebraic geometry, the seesaw theorem, or seesaw principle, says roughly that a limit of trivial line bundles over complete varieties is a trivial line bundle. It was introduced by André Weil in a course at the University of Chicago in 1954–1955, and is related to Severi's theory of correspondences. The seesaw theorem is proved using . It can be used to prove the theorem of the cube. (Wikipedia).
Introduction to Discrete and Continuous Functions
This video defines and provides examples of discrete and continuous functions.
From playlist Introduction to Functions: Function Basics
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
(ML 19.2) Existence of Gaussian processes
Statement of the theorem on existence of Gaussian processes, and an explanation of what it is saying.
From playlist Machine Learning
Wee Teck Gan - 2/2 Explicit Constructions of Automorphic Forms
I will discuss the theory of theta correspondence, highlighting basic principles and recent results, before explaining how theta correspondence can now be viewed as part of the relative Langlands program. I will then discuss other methods of construction of automorphic forms, such as autom
From playlist 2022 Summer School on the Langlands program
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Wee Teck Gan: Theta lifts of tempered representations and Langlands parameter
Abstract: In joint work with Hiraku Atobe, we determine the theta lifting of irreducible tempered representations for symplectic-metaplecticorthogonal and unitary dual pairs in terms of the local Langlands correspondence. The main new tool for proving our result is the recently establishe
From playlist Jean-Morlet Chair - Research Talks - Prasad/Heiermann
The local Gan-Gross-Prasad conjecture for real unitary groups - Hang Xue
Joint IAS/Princeton University Number Theory Seminar Topic: The local Gan-Gross-Prasad conjecture for real unitary groups Speaker: Hang Xue Affiliation: The University of Arizona Date: March 25, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Connor McCranie and Markus Pflaum (2/25/20): Catastrophe theory
Title: Catastrophe theory Abstract: We given an introduction to catastrophe theory by René Thom. After briefly defining what degenerate and non-degnerate critical points of a smooth function are we introduce the algebra of germs of smooth real-valued functions and describe singular germs
From playlist DELTA (Descriptors of Energy Landscape by Topological Analysis), Webinar 2020
Talk by Hang Xue (University of Arizona, USA)
Local Gan–Gross–Prasad Conjecture for Real Unitary Groups
From playlist Seminars: Representation Theory and Number Theory
How Learning Ten Equations Can Improve Your Life - David Sumpter
Mathematics has a lot going for it, but David Sumpter argues that it can not only provide you with endless YouTube recommendations, and even make you rich, but it can make you a better person. Our latest Oxford Mathematics Public Lecture. Oxford Mathematics Public Lectures are generousl
From playlist Oxford Mathematics Public Lectures
Dynamics of rigid rotating bodies - Part 2 of 3
Dynamics of rigid rotating bodies Part 1: Centre of Gravity, Moment of Inertia, Angular Momentum and Torque Part 2: Parallel Axis Theorem and consequences of part 1 Part 3: Gyroscopes
From playlist Classical Mechanics
Static Equilibrium - Tension, Torque, Lever, Beam, & Ladder Problem - Physics
This physics video tutorial explains the concept of static equilibrium - translational & rotational equilibrium where everything is at rest and there's no motion. This video contains plenty of examples and practice problems. My E-Book: https://amzn.to/3B9c08z Video Playlists: https://w
From playlist New Physics Video Playlist
Limits of functions -- Calculus I
This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus I
A theorem about isosceles -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
GCSE level Classical Mechanics covering: Moments, Centre of Mass, Levers, Stability
From playlist GCSE Physics Revision
Pythagorean Theorem VIII (Bhāskara's visual proof)
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #math #manim #
From playlist Pythagorean Theorem
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From playlist Physics
Multivariable Calculus | The projection of a vector.
We define the projection of a vector in a certain direction. As an application we decompose a vector into the sum of a parallel and orthogonal component. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus