Mathematical identities | Abstract algebra | Functional analysis | Linear algebra | Norms (mathematics) | Vectors (mathematics and physics)
In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space. If a norm arises from an inner product then the polarization identity can be used to express this inner product entirely in terms of the norm. The polarization identity shows that a norm can arise from at most one inner product; however, there exist norms that do not arise from any inner product. The norm associated with any inner product space satisfies the parallelogram law: In fact, as observed by John von Neumann, the parallelogram law characterizes those norms that arise from inner products. Given a normed space , the parallelogram law holds for if and only if there exists an inner product on such that for all in which case this inner product is uniquely determined by the norm via the polarization identity. (Wikipedia).
Polarization of Light: circularly polarized, linearly polarized, unpolarized light.
3D animations explaining circularly polarized, linearly polarized, and unpolarized electromagnetic waves.
From playlist Physics
Physics - Optics: Polarization (1 of 5) Introduction
Visit http://ilectureonline.com for more math and science lectures! In this video I will give a short introduction to what happens to the intensity of a ray when it passes through different polarizers.
From playlist PHYSICS - OPTICS
PHYS 201 | Polarization States 1 - The Electric Field Vector
Here we introduce a mathematical way to describe polarization based on the electric field amplitude vector. c -----Use the channel, or take the courses at edX - https://www.edx.org/course?search_query=hafner+ricex -----This material was produced by Rice Online - http://online.rice.edu
From playlist PHYS 201 | Polarization
problem #92 - Polarized Sunglasses
From playlist Bi-weekly Physics Problems
Learn to determine three different representations of a polar point
Learn how to represent polar points in multiple ways. Recall that angles that are coterminal are exactly the same. So, we can represent polar points in multiple way by representing its coterminal angles. One of the closest coterminal angle to the given angle is the negative angle equivalen
From playlist Rewrite Polar Points in Polar Form #Polar
PHYS201 | Polarization States 6 - Elliptical Polarization
Not all light is linear or circular. Any phase difference is possible and leads to elliptically polarization. -----Polarization playlist - https://www.youtube.com/playlist?list=PL9_sR6Qqqcyl7a3yVcQ4lH5zEh68psVqj -----Use the channel, or take the courses at edX - https://www.edx.org/course?
From playlist PHYS 201 | Polarization
PHYS 201 | Linear Polarizers 3 - The Polarizer
Here are some details on how we characterize linear polarizers, plus a bit on what "unpolarized light" means. -----Polarization playlist - https://www.youtube.com/playlist?list=PL9_sR6Qqqcyl7a3yVcQ4lH5zEh68psVqj -----Use the channel, or take the courses at edX - https://www.edx.org/course?
From playlist PHYS 201 | Polarization
Polar to rectangular equation conversion
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an algebraic curve specified by r as a function of theta on the
From playlist Convert Between Polar/Rectangular (Equations) #Polar
Photons and the loss of determinism
MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 8.04 Quantum Physics I, Spring 2016
Tensor Calculus 3b: Change of 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
General strong polarization - Madhu Sudan
Computer Science/Discrete Mathematics Seminar I Topic: Locally symmetric spaces: pp-adic aspects Speaker: General strong polarization Affiliation: Harvard University Date: December 4, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39)
How to convert equations from Rectangular form to Polar form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
Lecture 7 | Modern Physics: Quantum Mechanics (Stanford)
Lecture 7 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded February 25, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mod
From playlist Course | Modern Physics: Quantum Mechanics
Quantum Mechanics 10b - Bell's Inequality II
Here we conclude our discussion of Bell's inequality and the implications of its experimental violation. Part a: http://youtu.be/sAXxSKifgtU Playlist: http://www.youtube.com/playlist?list=PL193BC0532FE7B02C Comments, including questions, suggestions and constructive criticism are always
From playlist Quantum Mechanics
Complex Numbers Explained | An Introduction to Complex Numbers
In this video, we look at an introduction to complex numbers. We show why it is necessary to consider i = sqrt(-1) and complex numbers, based on Gauss' fundamental theorem of algebra. We work through examples of adding complex numbers, multiplying complex numbers, dividing complex numbers,
From playlist Complex Numbers
How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40)
How to convert equations from Polar form to Rectangular form using trigonometric identities. Support: https://www.patreon.com/ProfessorLeonard
From playlist Precalculus - College Algebra/Trigonometry
Quantum Mechanics Concepts: 2 Photon Polarisation (continued)
Part 2 of a series: continues photon polarisation
From playlist Quantum Mechanics
Elizabeth Nugent Talks About After Repression: Identity and Polarization in Democratic Transitions
Professor Nugent is an assistant professor of political science at Yale University. Her research explores the political psychology of religion and repression in the Middle East. She uses a variety of survey, voting, archival, and interview evidence in her work, and incorporate a mixture of
From playlist The MacMillan Report
This video tutorial lesson explains what polarization is and describes how it occurs. The polarization of conductors and insulators is contrasted and explained. The video is filled with demonstrations, animations, and informative graphics. Link to the Charge Interactions Tutorial (mention
From playlist Static Electricity Tutorial Series