Riemannian geometry | Mathematical notation | Multilinear algebra | Tensors
In mathematics, especially the usage of linear algebra in Mathematical physics, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not distinguish between tangent and cotangent spaces. It was introduced to physics by Albert Einstein in 1916. (Wikipedia).
What is the definition of scientific notation
π Learn about scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the number of digits up to t
From playlist Scientific Notation | Learn About
Raising a scientific number to the third power
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Learn how to determine the product of scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Dividing two numbers in scientific notation then rewriting answer in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
Multiplying in scientific notation with negative exponents
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Finding product of two numbers when they are in scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
Multiplying numbers in scientific notation
π Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
The TRUTH about TENSORS, part 5: ... is something that transforms like a tensor
In the longest video of this series (yet), we review contravariant and covariant vectors, and deriving the transformation law for a multi-linear map on a repeated tensor product of a vector space and its dual. Introduction (0:00) Contravariant vectors (1:33) Dual space (10:24) The transfo
From playlist The TRUTH about TENSORS
What is General Relativity? Lesson 37: The line element
What is General Relativity? Lesson 37: The line element This is a repost of Lesson 37 shortened and with some corrections. We introduce the origin of the "line element" and begin our exploration of spherical symmetry. Note the indexing error when I wrote down the equation for the connec
From playlist What is General Relativity?
Find the quotient between two numbers by converting to scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap
What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap This lesson is for those considering watching some or all of "What is General Relativity?" and for those who have finished some or all of the lesson. It is an invitation to the subject and also a recap of the subject
From playlist What is General Relativity?
What is General Relativity? Lesson 55 - Scalar Curvature Part 4: More Riemann Normal Coordinates
What is General Relativity? Lesson 55 - Scalar Curvature Part 4: More Riemann Normal Coordinates This is the third of a few lectures about the Scalar Curvature and its interpretation. In this lecture we refine the idea of Riemann Normal Coordinates ("RNC") and in the next lecture we will
From playlist What is General Relativity?
Comparison geometry for Ricci curvature II, Guofang Wei [2016]
Slides for this talk: https://drive.google.com/open?id=1HN8y4H6IxwxEfiVyQNg1r9024Uwg4auO Ricci curvature occurs in the Einstein equation, Ricci flow, optimal transport, and is important both in mathematics and physics. Comparison method is one of the key tools in studying the Ricci curvat
From playlist Mathematics
Einstein's General Theory of Relativity | Lecture 9
Lecture 9 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded November 17, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phy
From playlist Lecture Collection | Modern Physics: Einstein's Theory
How Einstein Uncovered the Path a Particle Traces Through Spacetime!
In Einstein's theory of gravity, general relativity, massive objects like stars warp the geometry of spacetime. Then a particle travels along the straightest and shortest path that it can through spacetime, called a geodesic. Get the notes for free here: https://courses.physicswithelliot.c
From playlist Lagrangian Mechanics Sequence
Your Daily Equation #14: Quantum Entanglement or Einstein's Spooky Action
Episode 14 #YourDailyEquation: Quantum entanglement is the strangest quality of quantum reality. Einstein called it "spooky," because, well, it is. Join Brian Greene to explore the basic ideas visually and then take a look at the essential equations. Even if your math is a bit rusty, join
From playlist Your Daily Equation with Brian Greene
Einstein's final work is STILL unfinished. Hereβs what it means.
To try everything Brilliant has to offer FREE for a full 30 days, visit http://brilliant.org/ParthG/. The first 200 of you will get 20% off Brilliantβs annual premium subscription. This is Einstein's final contribution to physics... and unfortunately it was left unfinished. Also, a huge
From playlist Relativity by Parth G
Finding the quotient for two numbers while in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
Dividing two numbers in scientific notation
π Learn how to divide numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is t
From playlist Scientific Notation
What is General Relativity Lesson 1: Prerequisites, Books, Units, and Syllabus
What is General Relativity Lesson 1: Prerequisites, Books, Units, and Syllabus. This is the introduction/invitation/welcome to a course in General Relativity. It has been well over a year since we began this project. We now have a Patreon Page: https://www.patreon.com/XYLYXYLYX Please
From playlist What is General Relativity?