Hole formalism in quantum chemistry states that for many electronic properties, one may consider systems with e or (n-e), the number of unoccupied sites or "holes", to be equivalent.The number of microstates (N) of a system corresponds to the total number of distinct arrangements for a number e of electrons to be placed in a number n of possible orbital positions: In hole formalism, the commutative property of multiplication applies, meaning that in the above equation, (Wikipedia).
Linear Algebra - Lecture 10 - Homogeneous Linear Systems
In this lecture, we define "homogeneous" linear systems, and discuss how to find the solutions to these systems in parametric vector form.
From playlist Linear Algebra Lectures
Let's Learn Physics: Chaos in Phase Space
We have seen how Hamiltonian mechanics can be used to solve for the dynamics of physical systems. It turns out that there is quite a bit of hidden power in this formalism in that we can prove some fairly general statements about physics as a whole. We will see one of these results, known a
From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams
Differential Equations: Linearity
Linearity is crucial throughout mathematics. In this video, I demonstrate the linearity of linear differential equations and explain why it can be useful. This video is the first precursor to our discussion of homogeneous differential equations.
From playlist Differential Equations
FORMAL LINEAR PERSPECTIVE: SECTION ONE #1. HOW WE SEE
In this long and deep informative lecture, Marc discusses how we see and use Linear Perspective and how this is integral to drawing and all other art-making endeavors. The four rules of perspective are discussed, as well as the four fundamental innate visual structures we all have in our
From playlist FORMAL LINEAR PERSPECTIVE
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Graphing a linear system of linear inequalities
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of inequalities by Graphing | Standard Form
How to determine the solution of a system of linear inequalities by graphing
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of inequalities by Graphing | Standard Form
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
Gary Froyland: Spectral perturbation formulae for quenched random dynamics with applications to...
CONFERENCE Recording during the thematic meeting : "Probabilistic Techniques for Random and Time-Dependent Dynamical Systems" the October 6, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks g
From playlist Dynamical Systems and Ordinary Differential Equations
Science & Technology Q&A for Kids (and others) [Part 50]
Stephen Wolfram hosts a live and unscripted Ask Me Anything about science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram Outline of Q&A 0:00 Stream starts 1:46 Stephen begins the s
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Semiconductors, Insulators & Conductors, Basic Introduction, N type vs P type Semiconductor
This chemistry video tutorial provides a basic introduction into semiconductors, insulators and conductors. It explains the difference between an N-type semiconductor a P-type semiconductor. Conductors are metals like copper and silver which conduct electricity very well. Insulators are
From playlist New AP & General Chemistry Video Playlist
[BOURBAKI 2017] 11/03/2017 - 3/4 - Patrick MASSOT
Patrick MASSOT — Flexibilité en géométrie de contact en grande dimension [d'après Borman, Eliashberg et Murphy] Les structures de contact sont des champs d'hyperplans apparaissant naturellement au bord de variétés symplectiques ou holomorphes et dont l'attrait provient d'un subtil mélang
From playlist BOURBAKI - 2017
This is a historical talk giving my recollections of how vertex algebras were discovered. It was requested by Michael Penn for his series of videos on vertex algebras https://www.youtube.com/playlist?list=PL22w63XsKjqyx2FFUywi_mz91Jtih52yX
From playlist Math talks
Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES
Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i
From playlist Bourbaki - 21 juin 2014
In the Company of Scholars: “One Million Years of Music: The Emergence of Human Modernity”
In the Company of Scholars Lecture Series. Gary Tomlinson, John Hay Whitney Professor of Music and the Humanities; Director, Whitney Humanities Center presents a lecture entitled “One Million Years of Music: The Emergence of Human Modernity.” April 16, 2014
From playlist In The Company Of Scholars
The Genesis of Vertex Algebras
We have a guest for this very special video. Richard Borcherds (Berkeley) has contributed a video regarding the history of vertex algebras. This video was also posted on his channel and is included here as well with permission and to increase its reach. Subscribe to his channel: https:/
From playlist Vertex Operator Algebras
Primordial Black Holes from Quantum Diffusion during Cosmic Inflation by Vincent Vennin
PROGRAM: PHYSICS OF THE EARLY UNIVERSE - AN ONLINE PRECURSOR ORGANIZERS: Robert Brandenberger (McGill University, Montreal, Canada), Jerome Martin (Institut d'Astrophysique de Paris, France), Subodh Patil (Instituut-Lorentz for Theoretical Physics, Leiden, Netherlands) and L Sriramkumar (
From playlist Physics of The Early Universe - An Online Precursor
Computational Methods for Numerical Relativity, Part 2 - Frans Pretorius
Computational Methods for Numerical Relativity, Part 2 Frans Pretorius Princeton University July 21, 2009
From playlist PiTP 2009
How to graph and shade a system of linear inequalities
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of
From playlist Solve a System of Inequalities by Graphing