Partial differential equations | Spectral theory
In mathematics, especially spectral theory, Weyl's law describes the asymptotic behavior of eigenvalues of the Laplace–Beltrami operator. This description was discovered in 1911 (in the case) by Hermann Weyl for eigenvalues for the Laplace–Beltrami operator acting on functions that vanish at the boundary of a bounded domain . In particular, he proved that the number, , of Dirichlet eigenvalues (counting their multiplicities) less than or equal to satisfies where is a volume of the unit ball in . In 1912 he provided a new proof based on variational methods. (Wikipedia).
Richard Feynman - The Character of Physical Law - Part4 Symmetry in Physical Law (full version)
Richard Feynman The Character of Physical Law Part4 Symmetry in Physical Law full version
From playlist Feynman's Lectures
Law of Definite Proportions - Law of multiple proportions
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From playlist Chemistry
The First Law of Thermodynamics: Internal Energy, Heat, and Work
In chemistry we talked about the first law of thermodynamics as being the law of conservation of energy, and that's one way of looking at it, but physicists like doing math more than chemists do, so let's talk about the first law in terms of an equation. You like equations by now, don't yo
From playlist Classical Physics
Roe v. Wade | National Constitution Center | Khan Academy
Keep going! Check out the next lesson and practice what you’re learning: https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-civil-liberties-and-civil-rights/us-gov-due-process-and-the-right-to-privacy/a/lesson-summary-due-process-and-the-right-to-privacy A deep dive in
From playlist The Constitution, Bill of Rights, and Landmark Supreme Court Cases
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From playlist Understanding the Holographic Universe
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Laura Shou (Princeton) -- Eigenvector statistics for graphs from quantized interval maps
We prove an analogue of the pointwise Weyl law for families of unitary matrices obtained from quantization of one-dimensional interval maps. This quantization for interval maps was introduced by Pakoński et al. [J. Phys. A: Math. Gen. 34 9303 (2001)] as a model for quantum chaos on graphs.
From playlist Northeastern Probability Seminar 2021
Classical liberalism #4: How does the rule of law promote a free society? | James Stoner | Big Think
Classical liberalism #4: How does the rule of law promote a free society? Watch the latest from Big Think: https://bigth.ink/NewVideo Join Big Think Edge for exclusive videos: https://bigth.ink/Edge ---------------------------------------------------------------------------------- The
From playlist Classical Liberalism | Big Think
Weyl Law in Liouville Quantum Gravity - Nathanaël Berestycki
Probability Seminar Topic: Weyl Law in Liouville Quantum Gravity Speaker: Nathanaël Berestycki Affiliation: University of Vienna Date: February 3, 2023 Can you hear the shape of LQG? We obtain a Weyl law for the eigenvalues of Liouville Brownian motion: the n-th eigenvalue grows linearly
From playlist Mathematics
Yang Shi: Normalizer theory of Coxeter groups and discrete integrable systems
Abstract: Formulation of the Painleve equations and their generalisations as birational representations of affine Weyl groups provides us with an elegant and efficient way to study these highly transcendental, nonlinear equations. In particular, it is well-known that discrete evolutions of
From playlist Integrable Systems 9th Workshop
Weyl groups, and their generalizations in, enumerative geometry II - Okounkov
Hermann Weyl Lectures Topic: Weyl groups, and their generalizations in, enumerative geometry II Speaker: Andrei Okounkov Date: Wednesday, March 16 These lectures will be about enumerative K-theory of curves (and more general 1-dimensional sheaves) in algebraic threefolds. In the firs
From playlist Hermann Weyl Lectures
Weyl groups, and their generalizations, in enumerative geometry I - Andrei Okounkov
Hermann Weyl Lectures Topic: Weyl groups, and their generalizations, in enumerative geometry I Speaker: Andrei Okounkov Date: Tuesday, March 15 These lectures will be about enumerative K-theory of curves (and more general 1-dimensional sheaves) in algebraic threefolds. In the first lec
From playlist Hermann Weyl Lectures
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Recent developments in Quantum Magnetism by Gang Chen
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Emmanuel Trélat - Analyse spectrale des Laplaciens sous-Riemanniens, mesure de Weyl
Dans une série de travaux avec Yves Colin de Verdière et Luc Hillairet, nous étudions les propriétés spectrales des Laplaciens sous-Riemanniens, qui sont des opérateurs hypoelliptiques. L'objectif principal est d'obtenir des résultats d'ergodicité quantique, ce que nous avons fait en géo
From playlist Journée Sous-Riemannienne 2016
What Is The Law of Conservation of Mass | Properties of Matter | Chemistry | FuseSchool
Learn the basics about the law of the conservation of mass, when learning about properties of matter. The Law of Conservation of Mass says that in chemical reactions no matter is lost or gained. The law of conservation of mass means that during chemical change there is no loss or gain o
From playlist CHEMISTRY