Product (mathematics)

Product groups

Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.

From playlist Abstract algebra

Proof of the Dot Product Theorem

Dot products are essential in a mathematician's toolbox. There is a property of dot products, however, that is often taken for granted: the multiplication of the magnitudes of two vectors by the cosine of the angle between them equals the sum of the multiplication of their respective compo

From playlist Fun

Vectors: Dot Product

This is the third video of a series from the Worldwide Center of Mathematics explaining the basics of vectors. This video explains the precise definition of dot product (also known as scalar product) and shows some examples of calculated dot products. For more math videos, visit our channe

From playlist Basics: Vectors

Product group example

There is no better way of understanding product groups than working through and example. In this video we look at the product group of the cyclic group with two elements and itself. The final result is isomorphic to what we call the Klein 4 group.

From playlist Abstract algebra

Dot product of two vectors

What is the dot product of two vectors? How is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/2SGI5Kvpk9

From playlist Introduction to Vectors

Calculus 3: Vector Calculus in 3-D (18 of 35) What is a Cross Product?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a cross product. The cross product of 2 vectors A and B is another vector C and is directed perpendicular to the plane containing A and B. Next video in the series can be seen at: htt

From playlist THE "WHAT IS" PLAYLIST

Center of Math Blog: Understanding a Proof of the Dot Product using a geometric approach

Using a geometric approach, Chloe answers a Youtube comment requesting a proof of the definition of the dot product.

From playlist The Center of Math: CALCULUS

Multivariable Calculus | The dot product.

We present the definition of the dot product as well as a geometric interpretation and some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Vectors for Multivariable Calculus

Math 060 Fall 2017 110817C Inner Product Spaces 1

Definition of inner product space. Examples. Definitions: orthogonal, norm, vector projection, scalar projection. Pythagorean theorem (in inner product space).

From playlist Course 4: Linear Algebra (Fall 2017)

Topology Without Tears - Video 4d - Writing Proofs in Mathematics

This is part (d) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Mathematical Induc

From playlist Topology Without Tears

Lecture 1 | The Theoretical Minimum

(January 9, 2012) Leonard Susskind provides an introduction to quantum mechanics. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies: http://continuingstudies.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford

From playlist Lecture Collection | The Theoretical Minimum: Quantum Mechanics

John Wallis' product formula to approximate "pi/2" | Algebraic Calculus One | Anna Tomskova

Dr Anna Tomskova explains John Wallis' product formula for "pi" using Excel. This powerful program can illustrate many mathematical ideas of an algorithmic nature, as the inductive step of procedures can often be captured by the "dragging" operation in Excel. ************************ Scre

From playlist Algebraic Calculus One

QED Prerequisites Geometric Algebra: Introduction and Motivation

This lesson is the beginning of a significant diversion from QED prerequisites. No student needs to understand Geometric Algebra in order to begin the study of QED. However, since we have pushed the formal structure of Maxwell's Equations as far as I know how to go, I think it makes sense

From playlist QED- Prerequisite Topics

Orthonormal Bases Vs Fourier Series Part 2

Lecture with Ole Christensen. Kapitler: 00:00 - Proof Of Thrm 4.7.2 Continued; 11:00 - Connection To Fourier Series; 11:15 - L2(-Pi,Pi); 16:00 - Complex Fourier Series; 17:45 - Convergence?; 35:45 - Parseval Identity;

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

More On Operators On L2 Part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Repetition - L^2(R); 06:30 - Composition Of Opertors; 21:00 - Basis In Hilbert Spaces; 26:30 - Introduction To Orthonormal Bases; 29:30 - Def: Orthonormal System; 31:00 - Def: Orthonormal Basis; 33:15 - The Theorem 4.7.2 ; 43:00 - Proof Of

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

Table ronde - Mathematics and ICT

Emmanuel Ullmo (IHES) Mérouane Debbah (Huawei) Cédric Villani (IHP) Francis Bach (INRIA) Stéphane Mallat (CMAP, École Polytechnique) Huawei-IHÉS Workshop on Mathematical Sciences Tuesday, May 5th 2015

From playlist Huawei-IHÉS Workshop on Mathematical Sciences

VSM, LSA, & SVD | Introduction to Text Analytics with R Part 7

Part 7 of this video series includes specific coverage of: – The trade-offs of expanding the text analytics feature space with n-grams. – How bag-of-words representations map to the vector space model (VSM). – Usage of the dot product between document vectors as a proxy for correlation. –

From playlist Introduction to Text Analytics with R

Mikhael Gromov - 2/4 Mathematical Structures arising from Genetics and Molecular Biology

Cours des professeurs permanents de l'IHÉS - Mikhael GROMOV (IHÉS)­ À l'Institut Henri Poincaré (IHP) Paris le 4 octobre 2013

From playlist Mikhael Gromov - Mathematical Structures arising from Genetics and Molecular Biology

Inner Product [dark version]

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From playlist Advent of Mathematical Symbols [dark version]

Vector Calculus 8: Why the Dot Product? ...and Its Essential Properties

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Vector Calculus