Differential geometry of surfaces
The Weingarten equations give the expansion of the derivative of the unit normal vector to a surface in terms of the first derivatives of the position vector of a point on the surface. These formulas were established in 1861 by the German mathematician Julius Weingarten. (Wikipedia).
How to determine if an equation is a linear relation
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Solve a system with three variables
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of equations is a set of unique values of the variables for wh
From playlist Solve a System of Equations With Three Variables
Lecture 15: Curvature of Surfaces (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
How to solve a system of equations with three variables
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of equations is a set of unique values of the variables for wh
From playlist 3 Examples: Solve a System of Three Equations
In this video we discuss First-Order Linear Differential Equations. We start by defining what we mean by a Linear Differential Equation and give the formula for the integrating factor. Then we do two examples where we carefully go over the steps. 0:00 Introduction to Linear Differential E
From playlist Linear Differential Equations
Hikaru Kawai - Emergence of Space-Time from Matrices
Emergence of Space-Time from Matrices -Problems and Prospects of the IIB Matrix Model https://indico.math.cnrs.fr/event/4272/attachments/2260/2713/IHESConference_Hikaru-KAWAI.pdf
From playlist Space Time Matrices
What is everything you need to know to graph an equation in slope intercept form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Summary for graph an equation in Standard form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Solving a linear equation when your variable is multiplied by a fraction
👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse operations (addition or subtraction) to move like terms to
From playlist Solve One and Two Step Equations
What are the x and y intercepts of a linear equation
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
James Mingo: The infinitesimal Weingarten calculus
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: The Weingarten calculus calculates matrix integrals over the unitary and orthogonal groups, in particular their large N behaviour. In this talk we shall look at the W
From playlist Noncommutative geometry meets topological recursion 2021
http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Tensor Calculus Change of Coordinates The Tensor Desc
From playlist Introduction to Tensor Calculus
Tensor Calculus Lecture 10a: The Covariant Surface Derivative in Its Full Generality
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
An Alert for My Tensors Textbook
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Tensor Calculus 4f: The Relationship Between the Covariant and the Contravariant Bases
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Tensor Calculus Lecture 7c: The Levi-Civita Tensors
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Derivative of a Basis Vector Illustrated (e_r in polar coordinates)
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
When do you know if a relations is in linear standard form
👉 Learn how to determine if an equation is a linear equation. A linear equation is an equation whose highest exponent on its variable(s) is 1. The variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rational term and c
From playlist Write Linear Equations
Tensor Calculus 5a: The Tensor Property
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus