There is a great deal of confusion about the term 'grammar'. Most people associate with it a book written about a language. In fact, there are various manifestations of this traditional term: presecriptive, descriptive and reference grammar. In theoretical linguistics, grammars are theory
From playlist VLC107 - Syntax: Part II
Let's review Java generics and exceptions. Learn how make a class that stores a concrete type (such as int or String) into one that can store anything. Also learn how to throw and catch exceptions.
From playlist Intermediate Java
NOUN PHRASES - ENGLISH GRAMMAR
We discuss noun phrases. Noun phrases consist of a head noun, proper name, or pronoun. Noun phrases can be modified by adjective phrases or other noun phrases. Noun phrases take determiners as specifiers. We also draw trees for noun phrase. you want to support the channel, hit the "JOIN"
From playlist English Grammar
ZuriHac 2016: Generic (and type-level) Programming with Generics-sop
A Google TechTalk, July 22, 2016, presented by Andres Löh ABSTRACT: Many Haskell functions can be defined for a large class of datatypes in a systematic way. Examples include structural equality and comparisons, all kind of (de)serialization functions (plain text, JSON, binary, etc.), tra
From playlist ZuriHac 2016
Duality In Higher Categories II by Pranav Pandit
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine
(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des
From playlist Mathematics
Introduction to Homotopy Theory- PART 1: UNIVERSAL CONSTRUCTIONS
The goal of this series is to develop homotopy theory from a categorical perspective, alongside the theory of model categories. We do this with the hope of eventually developing stable homotopy theory, a personal goal a passion of mine. I'm going to follow nLab's notes, but I hope to add t
From playlist Introduction to Homotopy Theory
A group is (in a sense) the simplest structure in which we can do the familiar tasks associated with "algebra." First, in this video, we review the definition of a group.
From playlist Modern Algebra - Chapter 15 (groups)
Homomorphisms in abstract algebra examples
Yesterday we took a look at the definition of a homomorphism. In today's lecture I want to show you a couple of example of homomorphisms. One example gives us a group, but I take the time to prove that it is a group just to remind ourselves of the properties of a group. In this video th
From playlist Abstract algebra
Gérald DUNNE - Resurgent Trans-series Analysis of Hopf Algebraic Renormalization
In the Kreimer-Connes Hopf algebraic approach to renormalization, for certain QFTs the Dyson-Schwinger equations can be reduced to nonlinear differential equations. I describe methods based on Ecalle's theory of resurgent trans-series to extract non-perturbative information from these Dyso
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
Live CEOing Ep 112: Language Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Language Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
First Author Interview: AI & formal math (Formal Mathematics Statement Curriculum Learning)
#openai #math #imo This is an interview with Stanislas Polu, research engineer at OpenAI and first author of the paper "Formal Mathematics Statement Curriculum Learning". Watch the paper review here: https://youtu.be/lvYVuOmUVs8 OUTLINE: 0:00 - Intro 2:00 - How do you explain the big pub
From playlist Applications of ML
F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curves
I will investigate the analytic classification of two dimensional neighborhoods of an elliptic curve C with trivial normal bundle and discuss the existence of foliations having C as a leaf. Joint work with Frank Loray and Sergey Voronin.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Vladimir Berkovich - Hodge theory for non-Archimedean analytic spaces
Correction: The affiliation of Lei Fu is Tsinghua University. In a work in progress, I defined integral “etale” cohomology and de Rham cohomology for so called bounded non-Archimedean analytic spaces over the field of formal Laurent power series with complex coefficients. The former are l
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Tony Wu - Autoformalization with Large Language Models - IPAM at UCLA
Recorded 15 February 2023. Tony Wu of Google presents "Autoformalization with Large Language Models" at IPAM's Machine Assisted Proofs Workshop. Abstract: Autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. A
From playlist 2023 Machine Assisted Proofs Workshop
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Moduli of p-divisible groups (Lecture 2) by Ehud De Shalit
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
John Harrison - Formalization and Automated Reasoning: A Personal and Historical Perspective
Recorded 13 February 2023. John Harrison of Amazon Web Services presents "Formalization and Automated Reasoning: A Personal and Historical Perspective" at IPAM's Machine Assisted Proofs Workshop. Abstract: In this talk I will try to first place the recent interest in machine-assisted proof
From playlist 2023 Machine Assisted Proofs Workshop
Homomorphisms in abstract algebra
In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu
From playlist Abstract algebra