In field theory, a branch of algebra, a field extension is said to be regular if k is algebraically closed in L (i.e., where is the set of elements in L algebraic over k) and L is separable over k, or equivalently, is an integral domain when is the algebraic closure of (that is, to say, are linearly disjoint over k). (Wikipedia).
JavaScript Video Tutorial Pt 6
Best JavaScript Book : http://goo.gl/zodRHD In this part of the JavaScript Video tutorial I will introduce Regular Expressions. I go over all the JavaScript Regular Expression functions. Code is Here: http://bit.ly/f7Au2e
From playlist JavaScript Video Tutorial
From playlist Computing for Data Analysis (Roger Peng)
REGEX Tutorial Regular Expressions
Best Regular Expressions Book : http://goo.gl/RFX7eJ Here I explain how Regular Expressions are used. I cover all of the codes and what they are used for. The goal is to teach you how to use regular expressions once and for all.
From playlist Regex Tutorial
Extend a linearly independent set to a basis In this video, I show how to concretely extend any linearly independent subset of a vector space to a basis of that vector space. We know we can do that in theory (using the replacement theorem), but this video shows how to do it in concrete si
From playlist Linear Equations
How to Apply the Product Rule of Radicals to Multiply an Expression
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the roots retaining the same root, and then simplify the resu
From playlist How to multiply Radicals Expressions
Applying the power rule to simplify an expression with a rational power
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
Every vector is a linear combination of the same n simple vectors!
Learning Objectives: 1) Identify the so called "standard basis" vectors 2) Geometrically express a vector as linear combination of the standard basis vectors 3) Algebraically express a vector as a linear combination of the standard basis vectors 4) Express a vector as a matrix-vector produ
From playlist Linear Algebra (Full Course)
Using nonstandard natural numbers in Ramsey Theory - M. Di Nasso - Workshop 1 - CEB T1 2018
Mauro Di Nasso (Pisa) / 01.02.2018 In Ramsey Theory, ultrafilters often play an instrumental role. By means of nonstandard models, one can reduce those third-order objects (ultrafilters are sets of sets of natural numbers) to simple points. In this talk we present a nonstandard technique
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Florian Herzig: On de Rham lifts of local Galois representations
Find other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies,
From playlist Algebraic and Complex Geometry
This lecture is part of an online graduate course on Galois theory. As an application of Galois theory, we prove Gauss's theorem that it is possible to construct a regular heptadecagon with ruler and compass.
From playlist Galois theory
Automorphy: Potential Automorphy Theorems I
Richard Taylor Harvard University; Distinguished Visiting Professor, School of Mathematics March 10, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Persistence of the Brauer-Manin obstruction under field extension - Viray - Workshop 2 - CEB T2 2019
Bianca Viray (University of Washington) / 27.06.2019 Persistence of the Brauer-Manin obstruction under field extension. We consider the question of when an empty Brauer set over the ground field gives rise to an empty Brauer set over an extension. We first consider the case of quartic d
From playlist 2019 - T2 - Reinventing rational points
Local-global compatibility at primes dividing l - David Geraghty
David Geraghty Princeton University/Member, School of Mathematics March 23, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Regular supercuspidal representations - Tasho Kaletha
Beyond Endoscopy Topic: Regular supercuspidal representations Speaker: Tasho Kaletha, University of Toronto Date: Oct 01, 2016 Time/Room: 3:00pm-3:50pm/s-101 For more videos, visit http://video.ias.edu
From playlist Mathematics
Padma Srinivasan - Conductors and minimal discriminants of hyperelliptic curves - AGONIZE conference
Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In genus one, the Ogg–Saito formula shows that these two invariants are equal, and in genus two, Qing Liu showed that they are related by an inequality. In this ta
From playlist Arithmetic Geometry is ONline In Zoom, Everyone (AGONIZE)
Supercuspidal L-packets - Tasho Kaletha
Computer Science/Discrete Mathematics Seminar I Topic: Supercuspidal L-packets Speaker: Tasho Kaletha Affiliation: Technion Date: March 5, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Linear transformation with given range
Fun exercise in linear algebra: Given a subspace Z, find a linear transformation whose range/image is Z. Great illustration of the definition of a basis and the Linear Extension Theorem. Enjoy! Linear Extension Theorem: https://youtu.be/gAlUekIYKLA Check out my Linear Transformations Pl
From playlist Linear Transformations