Uniqueness theorems | Quantifier (logic) | Mathematical terminology

Uniqueness quantification

In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!" or "∃=1". For example, the formal statement may be read as "there is exactly one natural number such that ". (Wikipedia).

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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

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Math 139 Fourier Analysis Lecture 04: Uniqueness of Fourier Series

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From playlist Course 8: Fourier Analysis

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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)

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From playlist Math Foundations

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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

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Existence & Uniqueness Theorem, Ex2

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From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)

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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

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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)

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Limit Uniqueness

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

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From playlist Foundations seminar

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From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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From playlist ICTS Colloquia

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On convergence of numerical schemes for hyperbolic systems of conservation – S. Mishra – ICM2018

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From playlist Numerical Analysis and Scientific Computing

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The utilization of large and complex data by machine learning in support of decision-making is of increasing importance in many scientific and national security domains. However, the need for uncertainty estimates or similar confidence indicators inhibits the integration of many popular ma

From playlist DSI Virtual Seminar Series

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Loredana Martignetti - ROMA: Representation and Quantification...

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From playlist From Molecules and Cells to Human Health : Ideas and concepts

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LambdaConf 2015 - Parametricity The Essence of Information Hiding Kris Nuttycombe

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From playlist LambdaConf 2015

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Markus Reiher - Uncertainty Quantification of Quantum Chemical Methods - IPAM at UCLA

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From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics

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Uniqueness: The Physics Problem That Shouldn't Be Solved

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From playlist Classical Physics by Parth G

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Equivalence relation | Counting quantification | Quantifier (logic) | Equality (mathematics) | Mathematics | Uniqueness theorem | Essentially unique | First-order logic | Singleton (mathematics) | Category theory | Up to | Isomorphism | Existential quantification