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
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
Injective, Surjective and Bijective Functions (continued)
This video is the second part of an introduction to the basic concepts of functions. It looks at the different ways of representing injective, surjective and bijective functions. Along the way I describe a neat way to arrive at the graphical representation of a function.
From playlist Foundational Math
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
An Elementary Proof of the Restricted Invertibility Theorem - Nikhil Srivastava
Nikhil Srivastava Institute for Advanced Study November 9, 2010 We give an elementary proof of a generalization of Bourgain and Tzafriri's Restricted Invertibility Theorem, which says roughly that any matrix with columns of unit length and bounded operator norm has a large coordinate subs
From playlist Mathematics
How to Prove a Function is Injective(one-to-one) Using the Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to prove a function is injective. Injective functions are also called one-to-one functions. This is a short video focusing on the proof.
From playlist Proofs
Real Lagrangian Tori in toric symplectic manifolds - Joé Brendel
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Real Lagrangian Tori in toric symplectic manifolds Speaker:Joé Brendel Affiliation: University of Neuchâte Date: June 4, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Invertible Matrices correspond with Invertible Transformations **proof**
Invertible Matrices are an algebraic concept that helps us solve Linear Systems of Equations. Invertible Transformations are a geometric concept where we can "undo" a transformation. But in fact they coincide! In this video, we prove that if you have an invertible matrix, the transformatio
From playlist Linear Algebra (Full Course)
Yonatan Harpaz - New perspectives in hermitian K-theory I
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Werner Seiler, Universität Kassel
February 22, Werner Seiler, Universität Kassel Singularities of Algebraic Differential Equations
From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
Higgs bundles and higher Teichmüller components (Lecture 2) by Oscar García-Prada
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
Alexandru Buium 3/21/14 Part 2
Title: Arithmetic Differential Equations on GL(n)
From playlist Spring 2014
John Voight: Computing classical modular forms as orthogonal modular forms
Abstract: Birch gave an extremely efficient algorithm to compute a certain subspace of classical modular forms using the Hecke action on classes of ternary quadratic forms. We extend this method to compute all forms of non-square level using the spinor norm, and we exhibit an implementatio
From playlist Algebraic and Complex Geometry
Description: Corresponding to our algebraic notion of invertibility, we want a geometric notion. Invertible transformations are defined, and then proven to be equivalent (thank goodness!) to invertible matrices when linear. Learning Objectives: 1) Define an invertible transformation 2) D
From playlist Older Linear Algebra Videos
Nigel Hitchin "Higgs bundles, past and present" [2012]
2012 FIELDS MEDAL SYMPOSIUM Thursday, October 18 Geometric Langlands Program and Mathematical Physics Nigel Hitchin, Oxford University Higgs bundles, past and present The talk will be an overview of the moduli spaces of Higgs bundles, or equivalently solutions to the so-called Hitchin eq
From playlist Number Theory
Daniel Greb: Structure theory for singular varieties with trivial canonical divisor
Recording during the meeting "Varieties with Trivial Canonical Class " the April 09, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Math
From playlist Virtual Conference
A derived Hecke algebra in the context of the mod pp Langlands program -Rachel Ollivier
Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: A derived Hecke algebra in the context of the mod pp Langlands program Speaker: Rachel Ollivier Affiliation: University of British Columbia Date: November 8, 2017 For more videos, please visit
From playlist Mathematics
An introduction to spectral data for Higgs bundles.. by Laura Schaposnik
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
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