Algebraic groups | Exceptional Lie algebras | Lie groups
In mathematics, F4 is the name of a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The compact form is simply connected and its outer automorphism group is the trivial group. Its fundamental representation is 26-dimensional. The compact real form of F4 is the isometry group of a 16-dimensional Riemannian manifold known as the octonionic projective plane OP2. This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits. There are 3 real forms: a compact one, a split one, and a third one. They are the isometry groups of the three real Albert algebras. The F4 Lie algebra may be constructed by adding 16 generators transforming as a spinor to the 36-dimensional Lie algebra so(9), in analogy with the construction of E8. In older books and papers, F4 is sometimes denoted by E4. (Wikipedia).
What Is A Function | Algebra | Maths | FuseSchool
A function is an operation, or series of operations, that transforms a set of numbers into a different set. We put our input into the function, operations are performed on it, and a different number is outputted. If we have this function f(x) = 5x - 2, x stands for the input and what f(x)
From playlist MATHS
What is Special About the Number 4?
This video explains what is special about the number 4 and the spelling of 4.
From playlist Mathematics General Interest
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Lecture 23: Functions (adjectives: onto, one-to-one, bijective), (subsets: images, preimages)
course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html handouts - DZB, Emory videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
2 6 Composition of Functions 1
From playlist MATH 1314: College Algebra
#4. Given f(x) = x^2 and g(x) = 6x - 2, what is f(g(x))?
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys #4. Given f(x) = x^2 and g(x) = 6x - 2, what is f(g(x))?
From playlist College Algebra Final Exam Review
Learn an effective strategy for solving standing wave problems in your physics class. After a quick review of the standing wave diagrams, the relationships, and the formulas, Mr. H introduces the strategy and models its use in six example problems. The Standing Waves and Harmonics video
From playlist Vibrations and Waves
More on Normal force (shoe on wall) | Physics | Khan Academy
David shows how to determine the normal force for a shoe shoved against a wall with a diagonal force. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/balanced-and-unbalanced-forces?utm_source=YT&utm_medium=Desc&utm_campai
From playlist Forces and Newton's laws of motion | Physics | Khan Academy
Algebra 2 2.01d - Function Notation
Function notation, a simple but often confusing topic for Algebra students. The notation f(x), what it means, how it is used, and some simple examples of evaluating functions. From the Algebra 2 course by Derek Owens. More information about this course and others can be found at http://
From playlist Algebra 2 Chapter 2: Functions (Selected videos)
MATH1131 Calculus Chapter 6 Q1
Showing that two functions are inverses by calculating their composition.
From playlist Mathematics 1A (Calculus)
In this video we approximate the value of the Golden Ratio using the mechanics of Minecraft. The Golden Ratio is the limit of the ratio of consecutive Fibonacci numbers. If there's a constant that you'd like to see me approximate in Minecraft, please let me know! This is my entry for 3B
From playlist Summer of Math Exposition Youtube Videos
Physics 7C. Classical Physics. Lecture 13.
UCI Physics 7C: Classical Physics (Fall 2013) Lec 13. Classical Physics View the complete course: http://ocw.uci.edu/courses/physics_7c_classical_physics.html Instructor: Daniel Whiteson, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http:/
From playlist Physics 7C: Classical Physics.
Excel Busn Math 06: Relative & Absolute Cell References
Download Excel Start File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Busn135Ch00.xls Download Excel Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Busn135Ch00Finished.xls Learn About the importance of Cell References in Excel formulas and functions. Learn
From playlist Excel Business Math Formulas, Functions, Solving Problems
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Constraint Satisfaction Problems (CSPs) 2 - Definitions | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Ruyong Feng, Chinese Academy of Sciences
October 14, Ruyong Feng, Chinese Academy of Sciences Effective height inequality of points on a plane algebraic curve
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
LMS Popular Lecture Series 2009, Random Matrices and Riemann Zeros, Dr Nina Snaith
Hollywood's Hippest Mathematics: random matrices and Riemann zeros Dr Nina Snaith
From playlist LMS Popular Lectures 2007 - present
Heptadecagon and Fermat Primes (the math bit) - Numberphile
Main (previous) video: http://youtu.be/87uo2TPrsl8 David Eisenbud from MSRI on the math behind the 17-gon and other constructible polygons. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com
From playlist David Eisenbud on Numberphile
Shun-Jen Cheng: Representation theory of exceptional Lie superalgebras
SMRI Algebra and Geometry Online: Shun-Jen Cheng (Institute of Mathematics, Academia Sinica) Abstract: In the first half of the talk we shall introduce the notion of Lie superalgebras, and then give a quick outline of the classification of finite-dimensional complex simple Lie superalgebr
From playlist SMRI Algebra and Geometry Online
Algebra - Ch. 5: Polynomials (1 of 32) What is a Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a polynomial. An algebraic expression with 2 or more terms. I will also explain what is a monomial, binomial, trinomial, and polynomial of 4 terms; terms, and factors. To donate: http
From playlist ALGEBRA CH 5 POLYNOMIALS