Abstract algebra | Linear algebra
In mathematics, an element x of a *-algebra is normal if it satisfies This definition stems from the definition of a normal linear operator in functional analysis, where a linear operator A from a Hilbert space into itself is called unitary if where the adjoint of A is A∗ and the domain of A is the same as that of A∗. See normal operator for a detailed discussion. If the Hilbert space is finite-dimensional and an orthonormal basis has been chosen, then the operator A is normal if and only if the matrix describing A with respect to this basis is a normal matrix. (Wikipedia).
The Normal Distribution (1 of 3: Introductory definition)
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From playlist The Normal Distribution
Determining values of a variable at a particular percentile in a normal distribution
From playlist Unit 2: Normal Distributions
We are – almost all of us – deeply attracted to the idea of being normal. But what if our idea of ‘normal’ isn’t normal? A plea for a broader definition of an important term. If you like our films, take a look at our shop (we ship worldwide): https://goo.gl/ojRR53 Join our mailing list: h
From playlist SELF
Abstract Algebra | Normal Subgroups
We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Normal Distribution: Find Probability Given Z-scores Using a Free Online Calculator
This video explains how to determine normal distribution probabilities given z-scores using a free online calculator. http://dlippman.imathas.com/graphcalc/graphcalc.html
From playlist The Normal Distribution
Normal Distribution Definition and Properties
What is a normal distribution? Properties of a normal distribution, including the empirical rule.
From playlist Probability Distributions
What is “normal” and what is “different”? - Yana Buhrer Tavanier
Discover where our perception of what is normal comes from, and how it impacts the decisions we make. -- The word “normal” is often used as a synonym for "typical," "expected," or even "correct." By that logic, most people should fit the description of normal. But time and time again, so
From playlist New TED-Ed Originals
What is the Normal Distribution?
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From playlist Random Variables
Visual Group Theory, Lecture 3.6: Normalizers
Visual Group Theory, Lecture 3.6: Normalizers A subgroup H of G is normal if xH=Hx for all x in G. If H is not normal, then the normalizer is the set of elements for which xH=Hx. Obviously, the normalizer has to be at least H and at most G, and so in some sense, this is measuring "how clo
From playlist Visual Group Theory
Abstract Algebra class April 13, 2021
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From playlist Super Lo-fi in class videos
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 (improved video quality)
Lie Groups and Lie Algebras: Lesson 43 Group Theory Review #2 In this lecture we examine a great way of becoming familiar with the smaller groups: the subgroup lattice. We use this to remind ourselves about normal subgroups, cyclic subgroups, and the center of a group. Errata!: The norma
From playlist Lie Groups and Lie Algebras
Visual Group Theory, Lecture 5.3: Examples of group actions
Visual Group Theory, Lecture 5.3: Examples of group actions It is frequently of interest to analyze the action of a group on its elements (by multiplication), subgroups (by multiplication, or by conjugation), or cosets (by multiplication). We look at all of these, and analyze the orbits,
From playlist Visual Group Theory
GT20.2 Sylow Theory for Simple 60
EDIT: At 6:50, 1, 3, 5, 7 should be 1, 3, 7, 9. At 9:35, n3 should be n2. Abstract Algebra: Using Sylow theory, we show that any simple, non-abelian group with 60 elements is isomorphic to A_5, the alternating group on 5 letters. As an application, we show that A_5 is isomorphic to t
From playlist Abstract Algebra
GT6. Centralizers, Normalizers, and Direct Products
Abstract Algebra: We consider further methods of constructing new groups from old. We consider centralizer and normalizer subgroups, which are useful when the group is non-abelian, and direct products. U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-t
From playlist Abstract Algebra
Simple Group 168 - Sylow Theory - Part 1
Abstract Algebra: Let G be a simple group of order 168. We calculate the number of Sylow subgroups, number of elements of a given order, and conjugacy class structure. In Part 1, we consider Sylow-p subgroup for p = 3, 7.
From playlist Abstract Algebra
GT4. Normal Subgroups and Quotient Groups
EDIT: At 2:00, the columns for cosets of H={e, (12)} are switched. Abstract Algebra: We define normal subgroups and show that, in this case, the space of cosets carries a group structure, the quotient group. Example include S3, the modular integers, and Q/Z. U.Reddit course materia
From playlist Abstract Algebra
Group theory 6: normal subgroups and quotient groups
This is lecture 6 of an online mathematics course on groups theory. It defines normal subgroups and quotient groups, using the non-abelian group of order 6 as an example.
From playlist Group theory
Math 060 Linear Algebra 31 112614: Normal Matrices
Normal matrices: characterization of unitarily diagonalizable matrices.
From playlist Course 4: Linear Algebra
Sylow Theory for Order 12 Groups 1
Abstract Algebra: Let G be a finite group of order 12. We apply Sylow theory to study such groups. In Part 1, we consider the abelian cases and A4, the alternating group on 4 letters.
From playlist Abstract Algebra