Field Definition (expanded) - Abstract Algebra
The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They
From playlist Abstract Algebra
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Free ebook http://tinyurl.com/EngMathYT A basic introduction to the curl of a vector field - one of the basic operations of vector calculus. I show how to calculate the curl and discuss its relationship with rotation and circulation density. Many examples are presented.
From playlist Engineering Mathematics
Definition of an estimator. Examples of estimators. Definition of an unbiased estimator.
From playlist Machine Learning
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Limits of vector functions: an example
Free ebook http://tinyurl.com/EngMathYT Example on limits of vector functions and how to calculate them.
From playlist Engineering Mathematics
Derivatives of vector functions example
Free ebook http://tinyurl.com/EngMathYT Example of differentiation of vector functions.
From playlist Engineering Mathematics
Towards optimal Ramsey graphs and randomness extractors - Eshan Chattopadhyay
Short talks by postdoctoral members Topic: Towards optimal Ramsey graphs and randomness extractors Speaker: Eshan Chattopadhyay Affiliation: Member, School of Mathematics Date: September 26, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Recent Progress in Randomness Extraction - Eshan Chattopadhyay
Computer Science/Discrete Mathematics Seminar II Topic: Recent Progress in Randomness Extraction Speaker: Eshan Chattopadhyay Affiliation: Cornell University Date: March 07, 2023 Randomness is a vital resource in computation, with many applications in areas such as cryptography, data-str
From playlist Mathematics
Near-Optimal Strong Dispersers - Dean Doron
Computer Science/Discrete Mathematics Seminar I Topic: Near-Optimal Strong Dispersers Speaker: Dean Doron Affiliation: The University of Texas at Austin Date: February 4, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Zero Knowledge Proofs - Seminar 1 - Introduction
This seminar series is about the mathematical foundations of cryptography. In this series Eleanor McMurtry is explaining Zero Knowledge Proofs (ZKPs), a fascinating set of techniques that allow one participant to prove they know something *without revealing the thing*. You can join this s
From playlist Metauni
True Randomness: Its Origin and Expansion - Yaoyun Shi
True Randomness: Its Origin and Expansion Yaoyun Shi University of Michigan April 21, 2014 How can we produce randomness of almost perfect quality, in large quantities, and under minimal assumptions? This question is fundamental not only to modern day information processing but also to phy
From playlist Mathematics
Nexus Trimester - Iftach Haitner (Tel Aviv University) - Leo Reyzin (Boston University) 2/3
Computational Analogues of Entropy 2/3 Iftach Haitner (Tel Aviv University) Leo Reyzin (Boston University) MArch 21, 2016 Abstract: If you see a cryptographic hash of my password, how can I quantify your uncertainty about the password? Entropy – a traditional measure of uncertainty – is
From playlist Nexus Trimester - 2016 - Secrecy and Privacy Theme
PMSP - Computational pseudo-randomness and extractors I - Russell Impagliazzo
Russell Impagliazzo UC San Diego and Institute for Advanced Study June 14, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
Avi Wigderson: Randomness and pseudorandomness
Abstract: The talk is aimed at a general audience, and no particular background will be assumed. Is the universe inherently deterministic or probabilistic? Perhaps more importantly - can we tell the difference between the two? Humanity has pondered the meaning and utility of randomness fo
From playlist Abel Lectures
A Deterministic Sample of Bourgain’s Work - Peter Sarnak and Avi Wigderson
Honoring the Life and Work of Jean Bourgain Topic: A Deterministic Sample of Bourgain’s Work Speakers: Peter Sarnak, Avi Wigderson Date: May 31, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Definition of an Injective Function and Sample Proof
We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil
From playlist Injective, Surjective, and Bijective Functions
Non-malleable extractors for constant depth circuits, and affine functions - Eshan Chattopadhyay
Computer Science/Discrete Mathematics Seminar II Topic: Non-malleable extractors for constant depth circuits, and affine functions Speaker: Eshan Chattopadhyay Affiliation: Member, School of Mathematics Date: Tuesday, November 15 For more videos, visit http://video.ias.edu
From playlist Mathematics