In measure theory, a pushforward measure (also known as push forward, push-forward or image measure) is obtained by transferring ("pushing forward") a measure from one measurable space to another using a measurable function. (Wikipedia).
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Riemannian Geometry - Definition: Oxford Mathematics 4th Year Student Lecture
Riemannian Geometry is the study of curved spaces. It is a powerful tool for taking local information to deduce global results, with applications across diverse areas including topology, group theory, analysis, general relativity and string theory. In these two introductory lectures
From playlist Oxford Mathematics Student Lectures - Riemannian Geometry
Why do we need restrictions on inverse trig functions
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
What are the Inverse Trigonometric functions and what do they mean?
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Riemannian Geometry - Examples, pullback: Oxford Mathematics 4th Year Student Lecture
Riemannian Geometry is the study of curved spaces. It is a powerful tool for taking local information to deduce global results, with applications across diverse areas including topology, group theory, analysis, general relativity and string theory. In these two introductory lectures
From playlist Oxford Mathematics Student Lectures - Riemannian Geometry
How to evaluate the inverse of trigonometric functions with unit circle
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
How to evaluate the inverse of cosine with a calculator
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Image measure and substitution rule (Measure Theory Part 15)
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From playlist Measure Theory
How do we apply inverses to trigonometric functions
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Mboyo Esole on Euler Characteristic and Pushforward of Weierstrass Models
Date: May 31, 2017 Location: Worldwide Center of Mathematics Dr. Esole Gives a talk on the subject of Algebraic Geometry, and details a pushforward technique for the Euler Characteristic of Crepant Resolutions of elliptic curves.
From playlist Center of Math Research: the Worldwide Lecture Seminar Series
Evaluate inverse of cosecant using a calculator
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
What is the definition of the inverse Tangent function
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
The deeper meaning of matrix transpose
100k Q&A: https://forms.gle/dHnWwszzfHUqFKny7 Transpose isnβt just swapping rows and columns - itβs more about changing perspective to get the same measurements. By understanding the general idea of transpose of a linear map, we can use it to visualise transpose much more directly. We wil
From playlist Traditional topics, explained in a new way
What is General Relativity? Lesson 57: Pulback and Pushforward (REDUX-Sound correction) A
What is General Relativity? Lesson 57: Pullback and Pushforward This video is the repaired version of Lesson 57. The previous version has significant sound problems. To get through the material regarding the curvature scalar we need to understand some basic operations involving manifolds
From playlist What is General Relativity?
Proof of the substitution rule for measure spaces (Measure Theory Part 16)
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From playlist Measure Theory
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
What is the definition of the inverse sine function
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions
Lie derivative of a vector field (flow and pushforward)
Part 2: https://youtu.be/roFNj3k4Lmc In this video I show you how you can derive the Lie derivative of a vector field. First, we look at a vector field on a manifold and develop the notion of an integral curve followed by the flow of the vector field. We can then move another vector along
From playlist Lie derivative
What is General Relativity? Lesson 58: Scalar Curvature Part 7: Pullback and Pushforward
What is General Relativity? Lesson 58: Scalar Curvature Part 7: Pullback and Pushforward This lecture covers the pullback of convector fields. Also, we cast pushforwards and pullbacks in terms of coordinate charts. Please consider supporting this channel via Patreon: https://www.patreon
From playlist What is General Relativity?
Why does inverse trig functions have restrictions Function explanation
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-
From playlist Evaluate Inverse Trigonometric Functions