The covector mapping principle is a special case of Riesz' representation theorem, which is a fundamental theorem in functional analysis. The name was coined by Ross and co-workers, It provides conditions under which dualization can be commuted with discretization in the case of computational optimal control. (Wikipedia).
Determine the values of two angles that lie on a lie with a third angle
👉 Learn how to define and classify different angles based on their characteristics and relationships are given a diagram. The different types of angles that we will discuss will be acute, obtuse, right, adjacent, vertical, supplementary, complementary, and linear pair. The relationships
From playlist Angle Relationships From a Figure
Lecture 4: k-Forms (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
Maxwell's Equations via Differential Forms Part I
This lesson is NOT prerequisite for a course in QED. The lesson does a fast review the elementary processes and notation of differential forms in preparation for a third way to express Maxwell's equations. Viewers are expected to have already been exposed to the topic of differential forms
From playlist QED- Prerequisite Topics
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
The deeper meaning of matrix transpose
100k Q&A: https://forms.gle/dHnWwszzfHUqFKny7 Transpose isn’t just swapping rows and columns - it’s 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
Probability Seminar Topic: Dimers and 3-Webs Speaker: Richard Kenyon Affiliation: Yale University Date: October 26, 2022 11:15am West Lecture Hall This is joint work with Haolin Shi (Yale). 3-webs are bipartite, trivalent, planar graphs. They were defined and studied by Kuperberg who sho
From playlist Mathematics
What is General Relativity? Lesson 67: Pullback example and introduction to metric equivalence.
In this lesson we cover two topics: the pullback of a simple metric from R^2 to S^1. Then we explore the idea of using a coordinate transformation on S^1 to show that two metric's on S^1 are actually the same. Note: at 37:00, on the third line, I wrote "dx^0 @ dx^2" which is a mistake. It
From playlist What is General Relativity?
Duality in Linear Algebra: Dual Spaces, Dual Maps, and All That
An exploration of duality in linear algebra, including dual spaces, dual maps, and dual bases, with connections to linear and bilinear forms, adjoints in real and complex inner product spaces, covariance and contravariance, and matrix rank. More videos on linear algebra: https://youtube.c
From playlist Summer of Math Exposition Youtube Videos
[Lesson 3] QED Prerequisites Dirac Formalism Part 3
This lesson is about the Dirac formalism's approach to linear operators. These operators will be the core of the theory of quantum mechanics, and the Dirac formalism is a very tight way of understanding them. [reposted to fix small error in title screen] Please consider supporting this c
From playlist QED- Prerequisite Topics
Find the reference angle of an angle in radians in standard form
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Lecture 5: Differential Forms (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
Klaus Fredenhagen - Quantum Field Theory and Gravitation
The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful
From playlist Trimestre: Le Monde Quantique - Colloque de clôture
Learning to find the reference angle by using coterminal angle
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Maxwell's Equations via Differential Forms Part 3
In this less we study the link between the curl and divergence of a vector fields and the language of differential forms. Please consider supporting this channel on Patreon: https://www.patreon.com/XYLYXYLYX The software I usually use to produce the lectures is: https://apps.apple.co
From playlist QED- Prerequisite Topics
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)