Uniqueness theorems | Mathematical terminology
In mathematics, a uniqueness theorem, also called a unicity theorem, is a theorem asserting the uniqueness of an object satisfying certain conditions, or the equivalence of all objects satisfying the said conditions. Examples of uniqueness theorems include: * Alexandrov's uniqueness theorem of three-dimensional polyhedra * Black hole uniqueness theorem * Cauchy–Kowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. * Cauchy–Kowalevski–Kashiwara theorem is a wide generalization of the Cauchy–Kowalevski theorem for systems of linear partial differential equations with analytic coefficients. * Division theorem, the uniqueness of quotient and remainder under Euclidean division. * Fundamental theorem of arithmetic, the uniqueness of prime factorization. * Holmgren's uniqueness theorem for linear partial differential equations with real analytic coefficients. * Picard–Lindelöf theorem, the uniqueness of solutions to first-order differential equations. * Thompson uniqueness theorem in finite group theory * Uniqueness theorem for Poisson's equation * Electromagnetism uniqueness theorem for the solution of Maxwell's equation * Uniqueness case in finite group theory The word unique is sometimes replaced by essentially unique, whenever one wants to stress that the uniqueness is only referred to the underlying structure, whereas the form may vary in all ways that do not affect the mathematical content. A uniqueness theorem (or its proof) is, at least within the mathematics of differential equations, often combined with an existence theorem (or its proof) to a combined existence and uniqueness theorem (e.g., existence and uniqueness of solution to first-order differential equations with boundary condition). (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)
Happy Proof Friday! Here's a proof of the limit uniqueness theorem. At the end of the video I also talk about a couple of other ways you can prove this. Thanks for watching! Comment below with questions, and make sure to like / subscribe! Facebook: https://www.facebook.com/braingainzoffi
From playlist Proofs
Uniqueness Theorems in Electrostatics | Laplace and Poisson Equation
We present two uniqueness theorems of #electrostatics, which help you find the electric potential and electric field! More details can be found in Griffiths’ book "Introduction to Electrodynamics“. 00:00 Introduction 00:19 First Theorem 01:48 Second Theorem Follow us on Instagram: htt
From playlist Electrodynamics, Electricity & Magnetism
Existence & Uniqueness Theorem, Ex2
Existence & Uniqueness Theorem for differential equations. For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Check out the differential equation playlist:
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
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)
Existence & Uniqueness Theorem, Ex3
Existence & Uniqueness Theorem for differential equations. For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Check out the differential equation playlist:
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Unique factorization and its difficulties I Data Structures in Mathematics Math Foundations 198
The Unique Factorization Theorem is also called the Fundamental Theorem of Arithmetic: the existence and uniqueness of a prime factorization for a natural number n. It is a pillar of number theory, and goes back to Euclid. We want to have a look at the logical structure of this theorem.
From playlist Math Foundations
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
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
Flows of vector fields: classical and modern - Camillo DeLellis
Analysis Seminar Topic: Flows of vector fields: classical and modern Speaker: Camillo DeLellis Affiliation: Faculty, School of Mathematics; IBM von Neumann Professor, School of Mathematics Date: April 13, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Existence and uniqueness -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Mod-04 Lec-19 Picard's Existence and Uniqueness Continued
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
The Big Theorem of Differential Equations: Existence & Uniqueness
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs The theory of differential equations works because of a class of theorems called existence and uniqueness
From playlist Ordinary Differential Equations (ODEs)
Small-set expansion in Grassman graph and the 2-to-2 Games Theorem (Lecture 1) by Prahladh Harsha
Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa
From playlist Workshop on Algebraic Complexity Theory 2019
Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 3
Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i
From playlist YMC*A 2021
Mod-04 Lec-22 Continuation of Solutions
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
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
Unique and 2:2 Games, Grassmannians, and Expansion - Irit Dinur
Hermann Weyl Lectures Topic: Unique and 2:2 Games, Grassmannians, and Expansion Speaker: Irit Dinur Affiliation: Weizmann Institute of Science; Visiting Professor Affiliation: School of Mathematics Date: November 20, 2019 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
Video2-10, existence and uniqueness Theorem of nonlinear equation. Elementary Differential Equations
Elementary Differential Equations, Video2-10, existence and uniqueness Theorem of nonlinear equations. Slides are here: https://drive.google.com/file/d/1d9lPxdODxROphf76e7QJH4_fIJXXrDrx/view?usp=sharing Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_
From playlist Elementary Differential Equations
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