Notwithstanding the fact that I introduce the topic as the orbit stabilizer syndrome, this video takes you through the orbit stabilizer theorem. :-) It states that the number of cosets formed by the stabilizer of a group (called the index) is the same as the number of elements in the orbi
From playlist Abstract algebra
Gravitation (7 of 17) Calculating the Orbital Height of a Satellite Above the Earth
Shows how to calculate the orbital height of a satellite above the surface of the Earth. The equation for orbital height is derived from Newton's second law and Newton's Law of universal gravitation. You can see a listing of all my videos at http://www.stepbystepscience.com Link for sha
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
Gravitation (6 of 17) Calculating the Orbital Period of a Satelite
Shows how to calculate the orbital period of a Satellite. The equation for orbital period is derived from Newton's second law and Newton's Law of universal gravitation. The orbital period of the satellite is only dependent upon the radius of its orbit and the mass of the central object. T
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
Teach Astronomy - Orbit Eccentricity
http://www.teachastronomy.com/ Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of
From playlist 10. The Solar System
Gravitation (5 of 17) Calculating Orbital Velocity of a Satellite
Shows how to calculate the orbital velocity of an object. The equation for orbital velocity is derived from Newton's second law and Newton's Law of universal gravitation. The orbital velocity of the satellite is only dependent upon the radius of its orbit and the mass of the central objec
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
Stabilizer in abstract algebra
In the previous video we looked at the orbit of a set. To work towards the orbit stabilizer theorem, we take a look at what a stabilizer is in this video.
From playlist Abstract algebra
Gravitation (13 of 17) Orbital Velocity at the Surface of the Earth
This videos explains how to determine the velocity that an object, one meter above the Earth's surface, must be projected horizontally so that it will go all of the way around the Earth and come back to the same place. Calculate orbital velocity one meter above the Earth's surface. The o
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
IB HL Fields: Orbital mechanics
From playlist Physics
Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem
Visual Group Theory, Lecture 5.2: The orbit-stabilizer theorem Suppose a group G acts on a set S. The orbit of s in S is the collection of states (in S) reachable from s. The stablizer of s is the set of elements (in G) that fix s. The orbit-stabilizer theorem says that |G|=|Orb(s)|*|Stab
From playlist Visual Group Theory
Proof & Example: Orbit-Stabilizer Theorem - Group Theory
Conjugation in the symmetric group: https://youtu.be/Zx7a0aJOXjs The orbit stabilizer theorem is a very important theorem about group actions. In this video we give an intuitive explanation of the orbit stabilizer theorem and an example with the symmetric group! Group Theory playlist: ht
From playlist Group Theory
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
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Stephen GUSTAFSON - Stability of periodic waves of 1D nonlinear Schrödinger equations
Motivated by the more general problem of classifying NLS dynamics in the presence of a potential, we consider the case of a (suitably) small, repulsive potential, and for certain nonlinearities, classify solutions near the 'pinned' ground state according to classical trajectories. Joint wo
From playlist Trimestre "Ondes Non linéaires" - Summer school
We define group actions, stabilizers, orbits, and prove the orbit-stabilizer theorem. My Twitter: https://twitter.com/KristapsBalodi3
From playlist Miscellaneous Questions
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 1
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Abstract Algebra: Group actions are defined as a formal mechanism that describes symmetries of a set X. A given group action defines an equivalence relation, which in turn yields a partition of X into orbits. Orbits are also described as cosets of the group. U.Reddit course materials a
From playlist Abstract Algebra
18. Amide, Carboxylic Acid and Alkyl Lithium
Freshman Organic Chemistry (CHEM 125) This lecture completes the first half of the semester by analyzing three functional groups in terms of the interaction of localized atomic or pairwise orbitals. Many key properties of biological polypeptides derive from the mixing of such localized or
From playlist Freshman Organic Chemistry with J. Michael McBride
Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory
An intuitive explanation of the Orbit-Stabilis(z)er theorem (in the finite case). It emerges very apparently when counting the total number of symmetries in some tricky but easy way. This video series continues to develop your intuition towards some fundamental concepts and results in Grou
From playlist Essence of Group Theory
Orbital Simulations with MATLAB
A quick and dirty inverse-square law simulation with two and three point masses. I give the masses an initial velocity and position and away it goes (except for some numerical error in calculating the changes in position)!
From playlist Physics