Theorems in geometry | Abelian varieties | Algebraic varieties
In mathematics, the theorem of the cube is a condition for a line bundle over a product of three complete varieties to be trivial. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The final version of the theorem of the cube was first published by , who credited it to André Weil. A discussion of the history has been given by . A treatment by means of sheaf cohomology, and description in terms of the Picard functor, was given by . (Wikipedia).
In this video, I give an explicit formula for the sum of cubes, and I show in particular why it’s the square of the sum of integers. It is really clever and neat, enjoy! Sum of squares: https://youtu.be/gVMEtOXdhs8 Subscribe to my channel: https://youtu.be/c/drpeyam
From playlist Cool proofs
Visual Sum of Cubes IV (Nicomachus's Theorem)
This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging cubes into a flat square. #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finite
From playlist Finite Sums
Difference of Two Cubes - Practice 1
Introduction problems in applying the difference of two cube formulas
From playlist Algebra
Sums of Cubes as Squares of Sums
This is a short, animated (wordless) visual proof demonstrating the sum of the first n positive cubes by rearranging cubes into a flat square. #mathshorts #mathvideo #math #calculus #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finite
From playlist Finite Sums
Calculus Limit with Difference of Cubes Formula
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Calculus Limit with Difference of Cubes Formula
From playlist Calculus
How to take the odd root of a negative integer, cube root
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd power gives the number which we want to find its cube r
From playlist How To Simplify The Cube Root of a Number
Picturing the Difference of Two Cubes
Understanding the difference of two cubes in terms of a geometric picture
From playlist Algebra
Difference of Two Cubes - Practice 2
More practice with the difference of two cubes
From playlist Algebra
A New Cubulation Theorem for Hyperbolic Groups- Daniel Groves
Daniel Groves University of Illinois, Chicago October 27, 2015 https://www.math.ias.edu/seminars/abstract?event=83384 We prove that if a hyperbolic group G acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then G is virtually spec
From playlist Geometric Structures on 3-manifolds
Ahlfors-Bers 2014 "Surface Subgroups, Cube Complexes, and the Virtual Haken Theorem"
Jeremy Kahn (CUNY Graduate Center): In a largely expository talk, I will summarize the results leading up to the Virtual Haken and Virtual Fibered Theorem for three manifolds, including 1. The Geometrization Theorem of Thurston and Perelman 2. The Surface Subgroup Theorem of the speaker an
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
Extended Gauss' Theorem | MIT 18.02SC Multivariable Calculus, Fall 2010
Extended Gauss' Theorem Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02SC: Homework Help for Multivariable Calculus
Integral Applications and Techniques
1. Review Fundamental Theorem of Calculus 2. Review Average Value of a Function 3. Review Mean Value Theorem for Integrals 4. Definite Integral as a Function 5. Second Fundamental Theorem of Calculus
From playlist Calculus
Sums of Two Cubes by Ari Shnidman
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
The Factor Theorem - Edexcel Maths A-Level
Powered by https://www.numerise.com/ A short video to introduce the factor theorem for use in the next video on complex numbers. www.hegartymaths.com http://www.hegartymaths.com/
From playlist Further Pure 1: Edexcel A-Level Maths Full Course
Number Theory - Fundamental Theorem of Arithmetic
Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.
From playlist Proofs
Elliptic measures and the geometry of domains - Zihui Zhao
Analysis Seminar Topic: Elliptic measures and the geometry of domains Speaker: Zihui Zhao Affiliation: Member, School of Mathematics Date: February 14, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
CAT(0) Cube Complexes and Virtually Special Groups - Daniel Groves
Daniel Groves University of Illinois, Chicago October 27, 2015 https://www.math.ias.edu/seminars/abstract?event=83234 Sageev associated to a codimension 1 subgroup H of a group G a cube complex on which G acts by isometries, and proved this cube complex is always CAT(0). Haglund and Wise
From playlist Geometric Structures on 3-manifolds
CTNT 2022 - 100 Years of Chebotarev Density (Lecture 1) - by Keith Conrad
This video is part of a mini-course on "100 Years of Chebotarev Density" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - 100 Years of Chebotarev Density (by Keith Conrad)
In this video, we present a geometric proof of the Pythagorean theorem. This famous theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Our proof utilizes the prin
From playlist Shorts
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]
supplement to the video: http://www.msri.org/realvideo/ln/msri/1993/outreach/fermat/1/banner/01.html Date: July 28, 1993 (08:00 AM PDT - 09:00 AM PDT) Fermat's Last Theorem July 28, 1993, Robert Osserman, Lenore Blum, Karl Rubin, Ken Ribet, John Conway, and Lee Dembart. Musical interlude
From playlist Number Theory