In mathematics, the term essentially unique is used to describe a weaker form of uniqueness, where an object satisfying a property is "unique" only in the sense that all objects satisfying the property are equivalent to each other. The notion of essential uniqueness presupposes some form of "sameness", which is often formalized using an equivalence relation. A related notion is a universal property, where an object is not only essentially unique, but unique up to a unique isomorphism (meaning that it has trivial automorphism group). In general there can be more than one isomorphism between examples of an essentially unique object. (Wikipedia).
Existence & Uniqueness Theorem, Ex1.5
Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Math 139 Fourier Analysis Lecture 04: Uniqueness of Fourier Series
Uniqueness of Fourier Series: all Fourier coefficients vanish implies function vanishes at points of continuity; absolute convergence of Fourier series implies uniform convergence of Fourier series to the original (continuous) function; twice continuous differentiability implies absolute c
From playlist Course 8: Fourier Analysis
Fundamentals of Mathematics - Lecture 08: Using Uniqueness and the Fundamental Theorem of Arithmetic
course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.htmlw handouts - DZB, Emory videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Why are complex numbers awesome? What are they and how are they useful? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Test your understanding via a short quiz http://goo.gl/forms/3T2ZqTfgrL Make learning "complex" numbers easy through an interactive, fun and
From playlist Intro to Complex Numbers
Existence & Uniqueness Theorem, Ex1
Existence & Uniqueness Theorem, Ex1 Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Ch
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Sets might contain an element that can be identified as an identity element under some binary operation. Performing the operation between the identity element and any arbitrary element in the set must result in the arbitrary element. An example is the identity element for the binary opera
From playlist Abstract algebra
Intermediate Algebra Lecture 12.2 Part 1
Intermediate Algebra Lecture 12.2 Part 1: Studying Inverse Functions
From playlist Intermediate Algebra Playlist 1
Proof: Supremum and Infimum are Unique | Real Analysis
If a subset of the real numbers has a supremum or infimum, then they are unique! Uniqueness is a tremendously important property, so although it is almost complete trivial as far as difficulty goes in this case, we would be ill-advised to not prove these properties! In this lesson we'll be
From playlist Real Analysis
Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions
https://www.patreon.com/ProfessorLeonard Intermediate Algebra Lecture 12.2: An Introduction to Inverse Functions
From playlist Intermediate Algebra (Full Length Videos)
Non-Newtonian fluids and convex integration - Stefano Modena
Workshop on Recent developments in incompressible fluid dynamics Topic: Non-Newtonian fluids and convex integration Speaker: Stefano Modena Affiliation: TU Darmstadt Date: April 07, 2022 The viscosity of a fluid is usually a constant, independent of the stress. There are however in natur
From playlist Mathematics
Banach fixed point theorem & differential equations
A novel application of Banach's fixed point theorem to fractional differential equations of arbitrary order. The idea involves a new metric based on the Mittag-Leffler function. The technique is applied to gain the existence and uniqueness of solutions to initial value problems. http://
From playlist Mathematical analysis and applications
Homological algebra 6: Injective modules
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injecti
From playlist Commutative algebra
François Delarue - Stochastic control for large population driven by correlated noises
François Delarue (Université de Nice) I will discuss recent advances in large population stochastic control, in the spirit of the pioneering by Lasry and Lions and by Caines and Malhamé in 2006. The basic point is to seek approximate equilibria over families of interacting players when t
From playlist Schlumberger workshop on Topics in Applied Probability
Inverse problems for Maxwell's equations (Lecture - 1) by Ting Zhou
DISCUSSION MEETING WORKSHOP ON INVERSE PROBLEMS AND RELATED TOPICS (ONLINE) ORGANIZERS: Rakesh (University of Delaware, USA) and Venkateswaran P Krishnan (TIFR-CAM, India) DATE: 25 October 2021 to 29 October 2021 VENUE: Online This week-long program will consist of several lectures by
From playlist Workshop on Inverse Problems and Related Topics (Online)
55 Romito - Invariant measures and ergodicity for stochastic Navier-
PROGRAM NAME :WINTER SCHOOL ON STOCHASTIC ANALYSIS AND CONTROL OF FLUID FLOW DATES Monday 03 Dec, 2012 - Thursday 20 Dec, 2012 VENUE School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram Stochastic analysis and control of fluid flow problems have
From playlist Winter School on Stochastic Analysis and Control of Fluid Flow
New Pseudo-deterministic Algorithms - Shafi Goldwasser
A Celebration of Mathematics and Computer Science Celebrating Avi Wigderson's 60th Birthday October 5 - 8, 2016 More videos on http://video.ias.edu
From playlist Mathematics
Discrete Math - 1.8.2 Proofs of Existence And Uniqueness
Using varying methods of proof to prove existence or existence of a unique value. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Dieter Rautenbach: Restricted types of matchings
Abstract: We present new results concerning restricted types of matchings such as uniquely restricted matchings and acyclic matchings, and we also consider the corresponding edge coloring notions. Our focus lies on bounds, exact and approximative algorithms. Furthermore, we discuss some ma
From playlist Combinatorics
Abstract Algebra - 2.3 Elementary Properties of a Group
We look closely at a few of the properties of groups and their proofs, including cancellation, uniqueness of inverses and identities and the socks-shoes property. We will utilize the WTS, Given, Proof format for our proofs. We will also compare the multiplicative and additive notations and
From playlist Abstract Algebra - Entire Course
Introduction to Complex Numbers (Free Ebook)
http://bookboon.com/en/introduction-to-complex-numbers-ebook This free ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages! Complex numbers "break
From playlist Intro to Complex Numbers