Fundamental domain

Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

Abstract Algebra | Introduction to Euclidean Domains

We give the definition of a Euclidean domain, provide some examples including the Gaussian Integers Z[i], and prove that every Euclidean domain is a principal ideal domain (PID). Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.mi

From playlist Abstract Algebra

The Fundamental Theorem of Calculus - Full Tutorial

This is a full tutorial on the Fundamental Theorem of Calculus and related topics. Here are the three main topics covered. Note several examples of computing definite integrals are given. - The Fundamental Theorem of Calculus - Computing Definite Integrals - The Second Fundamental Theorem

From playlist Math Tutorials

What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217

Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin

From playlist Math Foundations

Extended Fundamental Theorem of Calculus

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples

From playlist Calculus

The Fundamental Domain | The Geometry of SL(2,Z), Section 1.2

The fundamental domain for SL(2,Z) on the complex upper half plane is described, with proof. We also derive the stabilizers of the action, and provide generators for SL(2,Z). My Twitter: https://twitter.com/KristapsBalodi3 Description of the Fundamental Domain:(0:00) Statement of Main T

From playlist The Geometry of SL(2,Z)

Calculus: The Fundamental Theorem of Calculus

This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.

From playlist Calculus

RNT2.3. Euclidean Domains

Ring Theory: We define Euclidean domains as integral domains with a division algorithm. We show that euclidean domains are PIDs and UFDs, and that Euclidean domains allow for the Euclidean algorithm and Bezout's Identity.

From playlist Abstract Algebra

Alina Stancu: Some comments on the fundamental gap of the Dirichlet Laplacian in hyperbolic space

I will present some results on the fundamental gap of convex domains in hyperbolic space for different types of convexity. The results are in contrast with the behaviour of the fundamental gap in Euclidean space and I will make some comments on the aspects of the problem that are different

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

Lauren Ruth: "Von Neumann Equivalence"

Actions of Tensor Categories on C*-algebras 2021 "Von Neumann Equivalence" Lauren Ruth - Mercy College, Mathematics Abstract: We introduce a new equivalence relation on groups, which we call von Neumann equivalence, that is coarser than both measure equivalence and W*-equivalence. Our ge

From playlist Actions of Tensor Categories on C*-algebras 2021

Measure Equivalence, Negative Curvature, Rigidity (Lecture 1) by Camille Horbez

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall

From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023

Modular forms: Classification

This lecture is part of an online graduate course on modular forms. We first show that the number of zeros of a (level 1 holomorphic) modular form in a fundamental domain is weight/12, and use this to show that the graded ring of modular forms is the ring of polynomials in E4 and E6. Fo

From playlist Modular forms

Complex analysis: Elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We start the study of elliptic (doubly periodic) functions by constructing some examples, and finding some conditions that their poles and zeros must satisfy. For the other lectures in the course see https://www

From playlist Complex analysis

Guofang Wei - Fundamental Gap Estimate for Convex Domains - IPAM at UCLA

Recorded 07 February 2022. Guofang Wei of the University of California, Santa Barbara Mathematics presents "Fundamental Gap Estimate for Convex Domains" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: In their celebrated work, B. Andrews and J. Clutterbuck

From playlist Workshop: Calculus of Variations in Probability and Geometry

Modular forms: Fundamental domain

This lecture is part of an online graduate course on modular forms. We describe the fundamental domain of SL2(Z) acting on the upper half plane. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F

From playlist Modular forms

A positive proportion of plane cubics fail the Hasse principle - Manjul Bhargava [2011]

Arithmetic Statistics April 11, 2011 - April 15, 2011 April 11, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12761

From playlist Number Theory

Infinite Generaton of Non-Cocompact Lattices on Right-Angled Buildings - Anne Thomas

Anne Thomas University of Sydney, NSW April 6, 2011 SPECIAL LECTURE Let Gamma be a non-cocompact lattice on a right-angled building X. Examples of such X include products of trees, or Bourdon's building I_{p,q}, which has apartments hyperbolic planes tesselated by right-angled p-gons and

From playlist Mathematics

Basic Principle

A brief description of the "Basic Principle" and how it can be used to test for primality.

From playlist Cryptography and Coding Theory

Discrete Time Fourier Transform explained visually

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From playlist Fourier and Laplace