Definition of a group Lesson 24
In this video we take our first look at the definition of a group. It is basically a set of elements and the operation defined on them. If this set of elements and the operation defined on them obey the properties of closure and associativity, and if one of the elements is the identity el
From playlist Abstract algebra
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
This is lecture 5 of an online mathematics course on group theory. It classifies groups of order 4 and gives several examples of products of groups.
From playlist Group theory
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
What is a Group? | Abstract Algebra
Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s
From playlist Abstract Algebra
Visual Group Theory, Lecture 1.6: The formal definition of a group
Visual Group Theory, Lecture 1.6: The formal definition of a group At last, after five lectures of building up our intuition of groups and numerous examples, we are ready to present the formal definition of a group. We conclude by proving several basic properties that are not built into t
From playlist Visual Group Theory
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
Visual Group Theory, Lecture 6.4: Galois groups
Visual Group Theory, Lecture 6.4: Galois groups The Galois group Gal(f(x)) of a polynomial f(x) is the automorphism group of its splitting field. The degree of a chain of field extensions satisfies a "tower law", analogous to the tower law for the index of a chain of subgroups. This hints
From playlist Visual Group Theory
Difference Between Normalizer, Centralizer, and Stabilizer
An easy way to remember what is the normalizer and centralizer of a subgroup, and what is the stabilizer of an element under a group action. For people learning abstract algebra! Group Theory playlist: https://youtube.com/playlist?list=PLug5ZIRrShJHDvvls4OtoBHi6cNnTZ6a6 Subscribe to see
From playlist Group Theory
A problem comparing gains and losses in stocks
From playlist Middle School - Worked Examples
Atomic Structure (5 of 6) What are Ions? An Explanation
In this video Mr. Swarthout explains what ions are, including cation and anions, how atoms become ions and how to use the periodic table to determine the charge of ions. You can see a listing of all my videos at my website, http://www.stepbystepscience.com An atom is the smallest constitu
From playlist Atoms, Isotopes and Ions
In an ionic bond, two ions are held together by electrostatic force. These two atoms are trying to attain full valence shells of eight electrons. One atom has too many electrons and another has too few so one atom donates electrons and the other accepts them. The donor atom forms a cation,
From playlist Chemistry
This biology video tutorial provides a basic introduction into cellular respiration. It covers the 4 principal stages of cellular respiration such as glycolysis, pyruvate oxidation, the kreb’s cycle, and the electron transport chain. It also covers anaerobic cellular respiration such as
From playlist Biology
Watch more videos on http://www.brightstorm.com/science/chemistry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► h
From playlist Chemistry
The Whole of AQA - ATOMIC STRUCTURE. GCSE 9-1 Chemistry or Combined Science Revision Topic 1 for C1
I want to help you achieve the grades you (and I) know you are capable of; these grades are the stepping stone to your future. Even if you don't want to study science or maths further, the grades you get now will open doors in the future. Get exam ready for GCSE Maths https://primrosekitt
From playlist AQA Chemistry Paper 1 | Revision Playlist for Combined and Separate Science GCSE
Lec 24 | MIT 6.451 Principles of Digital Communication II
Linear Gaussian Channels View the complete course: http://ocw.mit.edu/6-451S05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.451 Principles of Digital Communication II
What Are Ions | Properties of Matter | Chemistry | FuseSchool
What Are Ions | Properties of Matter | Chemistry | FuseSchool What is an ion? What role does it have to play in the structure of atoms? Watch this video to find out! JOIN US ON PATREON https://www.patreon.com/fuseschool SUBSCRIBE to the FuseSchool YouTube channel for many more educati
From playlist CHEMISTRY
This video contains the origins of group theory, the formal definition, and theoretical and real-world examples for those beginning in group theory or wanting a refresher :)
From playlist Summer of Math Exposition Youtube Videos
IB Chemistry Topic 3 Periodicity 3.1 Periodic Table
IB Chemistry Topic 3 Periodicity 3.1 Periodic Table A full explanation of anatomy of the Periodic Table. The names of the important groups Group 1 alkali metals, transistion metals, halogens, semimetals (metaloids) and noble gases. The main groupings of metals and non-metals. How and why w
From playlist Topic 3/13 Periodicity