Real analysis | Theorems in analysis
In mathematics, Hadamard's lemma, named after Jacques Hadamard, is essentially a first-order form of Taylor's theorem, in which we can express a smooth, real-valued function exactly in a convenient manner. (Wikipedia).
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Lagrange Bicentenary - Jacques Laskar's conference
Lagrange and the stability of the Solar System
From playlist Bicentenaire Joseph-Louis Lagrange
I give a proof of the Cartan-Hadamard theorem on non-positively curved complete Riemannian manifolds. For more details see Chapter 7 of do Carmo's "Riemannian geomety". If you find any typos or mistakes, please point them out in the comments.
From playlist Differential geometry
Complex Analysis (Advanced) -- This murderer inspired the results of my Ph.D. thesis
Excerpt from a talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/
From playlist Complex Analysis
Complex Analysis (Advanced) -- The Schwarz Lemma
A talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/hd7-iio77kc P
From playlist Complex Analysis
Dakshita Khurana - Weakening Assumptions in Quantum Cryptography IV.b Part 2 of 2 - IPAM at UCLA
Recorded 29 July 2022. Dakshita Khurana of the University of Illinois at Urbana-Champaign presents "Weakening Assumptions in Quantum Cryptography IV.b" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: We will discuss how quantum information can be used to r
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography
Perla El Kettani - Phase transitions in low-rank matrix estimation
Joint work with Marc Lelarge We consider the estimation of noisy low-rank matrices. Our goal is to compute the minimal mean square error (MMSE) for this statistical problem. We will observe a phase transition: there exists a critical value of the signal-to-noise ratio above which it is pos
From playlist Les probabilités de demain 2017
Lec 20 | MIT 6.451 Principles of Digital Communication II, Spring 2005
The Sum-Product Algorithm 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
Cap-sets in (Fq)n(Fq)n and related problems - Zeev Dvir
Computer Science/Discrete Mathematics Seminar II Topic: Cap-sets in (Fq)n(Fq)n and related problems Speaker:Zeev Dvir Affiliation: Princeton University; von Neumann Fellow, School of Mathematics Date: October 31, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture III
The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Mod-04 Lec-21 Existence using Fixed Point Theorem
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Christian Gérard - Construction of Hadamard states for Klein‐Gordon fields
We will review a new construction of Hadamard states for quantized Klein-Gordon fields on curved spacetimes, relying on pseudo differential calculus on a Cauchy surface. We also present some work in progress where Hadamard states are constructed from traces of Klein-Gordon fields on a ch
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Anne Broadbent - Information-Theoretic Quantum Cryptography Part 1 of 2 - IPAM at UCLA
Recorded 27 July 2022. Anne Broadbent of the University of Ottawa presents "Information-Theoretic Quantum Cryptography" at IPAM's Graduate Summer School Post-quantum and Quantum Cryptography. Abstract: These lectures are an introduction to the interplay between quantum information and cryp
From playlist 2022 Graduate Summer School on Post-quantum and Quantum Cryptography