Real analysis | Theorems in analysis

Hadamard's lemma

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).

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A09 The Hamiltonian

Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.

From playlist Physics ONE

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Lagrange Bicentenary - Jacques Laskar's conference

Lagrange and the stability of the Solar System

From playlist Bicentenaire Joseph-Louis Lagrange

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The Cartan-Hadamard theorem

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

Related pages

Taylor's theorem | Jacques Hadamard | Mathematics