Exceptional Lie algebras | Lie groups | E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8. The E8 algebra is the largest and most complicated of these exceptional cases. (Wikipedia).
Calculus 1: Ch 5.1 Derivative of e^x and lnx (5 of 24) What is the number e ?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition of e=2.7182818284590... The definition is e=lim(x approaches infinity)[1+(1/x)] raised to the power of x. When x=1 e~2, x=2 e~2.25, x=3 e~2.370, x=4 e~2.441, x=5 e`
From playlist CALCULUS 1 CH 5.1 DERIVATIVES e^x AND ln x
A11 Eigenvalues with complex numbers
Eigenvalues which contain complex numbers.
From playlist A Second Course in Differential Equations
e is a magic number (song about e)
Fun with a math song all about the famous number e. Free ebook https://bookboon.com/en/engineering-mathematics-youtube-workbook-ebook E is a magic number by Dr Chris Tisdell e is a magic number, Yes it is, it's a magic number. All across our scientific community, You'll find e, 'cos it'
From playlist Math is Fun!
AQA A-Level Further Maths C10-01 Eigenvalues and Eigenvectors: Introduction
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 AQA A-Level Further Maths C10: Eigenvalues and Eigenvectors
What is the mathematical constant e???
In this video, I talk about two ways of "deriving" e and the important of the number! "Why do we study e?" is often over-shadowed by procedural grind, so here we explicitly talk about where it comes from and how it is used. It is important to note that I explained e *without* direct use of
From playlist Misc. / Why We Study Math
A-Level Maths: E7-09 [Trig Equations: Solve 1/cos(x) = 5 between 0 and 360 degrees]
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From playlist A-Level Maths E7: Trig Equations
A-Level Maths: E7-45 [Trig Equations: Things to Remember about y = sin(x) and y = cos(x)]
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From playlist A-Level Maths E7: Trig Equations
Can a Chess Piece Explain Markov Chains? | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight returned to its starting sq
From playlist Probability
This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans
From playlist Math talks
Counting points on the E8 lattice with modular forms (theta functions) | #SoME2
In this video, I show a use of modular forms to answer a question about the E8 lattice. This video is meant to serve as an introduction to theta functions of lattices and to modular forms for those with some knowledge of vector spaces and series. -------------- References: (Paper on MIT
From playlist Summer of Math Exposition 2 videos
Modular forms: Theta functions in higher dimensions
This lecture is part of an online graduate course on modular forms. We study theta functions of even unimodular lattices, such as the root lattice of the E8 exceptional Lie algebra. As examples we show that one cannot "her the shape of a drum", and calculate the number of minimal vectors
From playlist Modular forms
Complex surfaces 3: Rational surfaces
We give an informal survey of some complex rational surfaces. We first lift a few examples: hypersurfaces of degree at most 3, and the Hirzebruch surfaces which are P1 bundles over P1. Then we discuss the surfaces obtained by blowing up points in the plane in more detail. We sketch how to
From playlist Algebraic geometry: extra topics
Max Tegmark - Why There is "Something" rather than "Nothing"
We know that there is not Nothing. There is Something. It is not the case that there is no world, nothing at all, a blank. It is the case that there is a world. Nothing did not obtain. But why? Click here to watch more interviews on the reason there is something rather than nothing http:/
From playlist Closer To Truth - Max Tegmark Interviews
From playlist Tutorial 8
Proving Pi Is Irrational - What You Never Learned In School!
Happy Pi Day (3/14)! Everyone knows that pi is an irrational number, but how do you prove it? This video presents one of the shortest proofs that pi is irrational, and the proof requires only high school calculus to understand. Niven's proof http://www.ams.org/journals/bull/1947-53-06/S00
From playlist Pi
Arithmetic progressions and spectral structure - Thomas Bloom
Computer Science/Discrete Mathematics Seminar II Topic: Arithmetic progressions and spectral structure Speaker: Thomas Bloom Affiliation: University of Cambridge Date: October 13, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
A-Level Maths: E7-03 [Trig Equations: Solve cos(x) = 1/2 between 0 and 360 degrees]
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From playlist A-Level Maths E7: Trig Equations
Washington Taylor - How Natural is the Standard Model in the String Landscape?
Mike's pioneering work in taking a statistical approach to string vacua has contributed to an ever-improving picture of the landscape of solutions of string theory. In this talk, we explore how such statistical ideas may be relevant in understanding how natural different realizations of th
From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday