Uniqueness theorems | Quantifier (logic) | Mathematical terminology
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).
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
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
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)
Unique factorization and its difficulties II | Data Structures Math Foundations 199
We continue with our discussion of the Fundamental Theorem of Arithmetic, which is that any natural number is uniquely factorizable in to primes. But this is not exactly true, at least not if we allow such big numbers as z into our realm of natural numbers! In this video we look at the ac
From playlist Math Foundations
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
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)
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
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)
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
Foundations S2 - Seminar 3 - Skolemisation
A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. This season the focus is on the proof of the Ax-Grothendieck theorem: an injective polynomial function from affine space (over the complex numbers) to itself is surjective. This week Will started into t
From playlist Foundations seminar
DDPS | Parameter Subset Selection and Active Subspace Techniques for Engineering & Biological Models
Engineering and biological models generally have a number of parameters which are nonidentifiable in the sense that they are not uniquely determined by measured responses. Furthermore, the computational cost of high-fidelity simulation codes often precludes their direct use for Bayesian m
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Sequence Alignment: Hidden Markov Models, Category Theory and all that jazz by Soumyashant Nayak
Colloquium Sequence Alignment: Hidden Markov Models, Category Theory and all that jazz Speaker: Soumyashant Nayak (University of Pennsylvania) Date: Tue, 20 August 2019, 15:00 to 16:00 Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore Abstract High-throughput deep-sequencing
From playlist ICTS Colloquia
On convergence of numerical schemes for hyperbolic systems of conservation – S. Mishra – ICM2018
Numerical Analysis and Scientific Computing Invited Lecture 15.9 On the convergence of numerical schemes for hyperbolic systems of conservation laws Siddhartha Mishra Abstract: A large variety of efficient numerical methods, of the finite volume, finite difference and DG type, have been
From playlist Numerical Analysis and Scientific Computing
DSI | MuyGPs: Scalable Gaussian Process Hyperparameter Estimation Using Local Cross-Validation
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
Loredana Martignetti - ROMA: Representation and Quantification...
ROMA: Representation and Quantification of Activity from target expression data In many analysis of high-throughput data in systems biology, there is a need to quantify the activity of a set of genes in individual samples. In cancer the same pathway can be affected by defects in different
From playlist From Molecules and Cells to Human Health : Ideas and concepts
LambdaConf 2015 - Parametricity The Essence of Information Hiding Kris Nuttycombe
This introductory talk is designed to help students new to functional programming understand how type parameters enable us to more easily reason about the behavior of functions and create APIs that enforce their invariants with type-level constraints. We will cover the principles of univer
From playlist LambdaConf 2015
Markus Reiher - Uncertainty Quantification of Quantum Chemical Methods - IPAM at UCLA
Recorded 06 May 2022. Markus Reiher ETH Zurich presents "Uncertainty Quantification of Quantum Chemical Methods" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-iii-large-scale-certi
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
Uniqueness: The Physics Problem That Shouldn't Be Solved
The Uniqueness Theorem can PROVE that this problem only has one possible solution... so however we can find it (e.g. guessing), we know we've got the right one! In this video, we'll be taking a look at how this uniqueness theorem is derived for the Poisson and Laplace equations in electro
From playlist Classical Physics by Parth G