Hadamard's gamma function

The Gamma Function for Half Integer Values

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From playlist Number Theory

The Weierstrass Definition of the GAMMA FUNCTION! - Proving Equivalence!

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From playlist Limits

Karim Belabas - "L-functions"

From playlist Atelier PARI/GP 2016

Relativity's key concept: Lorentz gamma

Einstein’s theory of special relativity is one of the most counterintuitive ideas in physics, for instance, moving clocks record time differently than stationary ones. Central to all of the equations of relativity is the Lorentz factor, also known as gamma. In this video, Fermilab’s Dr. D

From playlist Relativity

Number Theory 1.2 : The Gamma Function

In this video, I introduce the gamma function and show a few properties of it. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Number Theory

Gaussian Integral 6 Gamma Function

Welcome to the awesome 12-part series on the Gaussian integral. In this series of videos, I calculate the Gaussian integral in 12 different ways. Which method is the best? Watch and find out! In this video, I calculate the Gaussian integral by using properties of the gamma function, which

From playlist Gaussian Integral

The Gamma Distribution

From playlist Probability Distributions

Christian Bär: Local index theory for Lorentzian manifolds

HYBRID EVENT We prove a local version of the index theorem for Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In case the Cauchy hypersurface is compact, we do not assume self-adjointness of the Dirac operator on the spacetime or of the associated el

From playlist Mathematical Physics

Number theoretic aspects of multiplicative chaos - Adam Harper

50 Years of Number Theory and Random Matrix Theory Conference Topic: Number theoretic aspects of multiplicative chaos Speaker: Adam Harper Affiliation: University of Warwick Date: June 22, 2022 Multiplicative chaos is the general name for a family of probabilistic objects, which can be t

From playlist Mathematics

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

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

Complex analysis: Gamma function

This lecture is part of an online undergraduate course on complex analysis. We describe the basic properties of the gamma function, including its functional equations and the duplication formula, and give a characterization of it in terms of its functional equation and growth rate. Corr

From playlist Complex analysis

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

Sign problems and quantum computers (Lecture - 04) by David B Kaplan

Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to

From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography

"How to Verify the Riemann Hypothesis for the First 1,000 Zeta Zeros" by Ghaith Hiary

An overview of algorithms and methods that mathematicians in the 19th century and the first half of the 20th century used to verify the Riemann hypothesis. The resulting numerical computations, which used hand calculations and mechanical calculators, include those by Gram, Lindelöf, Backlu

From playlist Number Theory Research Unit at CAMS - AUB

Time Dilation - Sixty Symbols

The twins paradox, muons and special relativity are among the issues in this video about the symbol gamma, which can represent the Lorentz factor. More symbols discussed at http://www.sixtysymbols.com/

From playlist Gamma Trilogy - Sixty Symbols

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

Klaus Fredenhagen - Quantum Field Theory and Gravitation

The incorporation of gravity into quantum physics is still an essentially open problem. Quantum field theory under the influence of an external gravitational field, on the other side, is by now well understood. I is remarkable that, nevertheless, its consistent treatment required a careful

From playlist Trimestre: Le Monde Quantique - Colloque de clôture

Inverse Trigonometric Functions

We know about inverse functions, and we know about trigonometric functions, so it's time to learn about inverse trigonometric functions! These are functions where you plug in valid values that trig functions can possess, and they spit out the angles that produce them. There's a little more

From playlist Trigonometry

Maryna Viazovska - 3/6 Automorphic Forms and Optimization in Euclidean Space

Hadamard Lectures 2019 The goal of this lecture course, “Automorphic Forms and Optimization in Euclidean Space”, is to prove the universal optimality of the E8 and Leech lattices. This theorem is the main result of a recent preprint “Universal Optimality of the E8 and Leech Lattices and I

From playlist Hadamard Lectures 2019 - Maryna Viazovska - Automorphic Forms and Optimization in Euclidean Space