Morphisms | Additive functions | Ring theory
In algebra, an additive map, -linear map or additive function is a function that preserves the addition operation: for every pair of elements and in the domain of For example, any linear map is additive. When the domain is the real numbers, this is Cauchy's functional equation. For a specific case of this definition, see additive polynomial. More formally, an additive map is a -module homomorphism. Since an abelian group is a -module, it may be defined as a group homomorphism between abelian groups. A map that is additive in each of two arguments separately is called a bi-additive map or a -bilinear map. (Wikipedia).
A map T between vector spaces which satisfies: * the addition condition T(x+y) = T(x) + T(y) and * the scalar multiplication condition T(lambda x) = lambda T(x) is called a "linear map". In the first part of this video we see how to show a map is linear; in the second part we see how t
From playlist Mathematics 1B (Algebra)
Ex 1: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions
Ex 2: Find the Inverse of a Function
This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Determining Inverse Functions
Determine the Additive Inverses
This video explains how to determine the additive inverse of a given integers. http://mathispower4u.com
From playlist Sets of Numbers/Properties of Real Numbers
Jean-Marie de Koninck: On the proximity of additive and multiplicative functions
Find this video and 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, b
From playlist Number Theory
In this lecture, we discuss the definition of a linear map, relating it to the definition of a vector space. We also give an elementary example, illustrating how to verify that a map is linear or not linear. Video Notes: https://theorembmath.files.wordpress.com/2020/02/linear-maps-definit
From playlist Linear Algebra
A review of the additive inverse with an algebraic approach
From playlist Geometry
Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.
From playlist Learning medical statistics with python and Jupyter notebooks
Yonatan Harpaz - New perspectives in hermitian K-theory II
Warning: around 32:30 in the video, in the slide entitled "Karoubi's conjecture", a small mistake was made - in the third bulleted item the genuine quadratic structure appearing should be the genuine symmetric one (so both the green and red instances of the superscript gq should be gs), an
From playlist New perspectives on K- and L-theory
Yonatan Harpaz - New perspectives in hermitian K-theory III
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
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras We complete our survey of the basic algebraic structures that appear in the study of general relativity. Also, we develop the important example of the tensor algebra.
From playlist What is a Tensor?
[Lesson 1] QED Prerequisites Dirac Formalism Part I (redux)
(Editorial repair made in this version) This lecture is the first in a series of topics related to QED prerequisite material. I will be selecting some topics that students are often not clear about when arriving at QED. These topics cover a wide variety of material in elementary quantum m
From playlist QED- Prerequisite Topics
Yonatan harpaz : The universal property of topological Hochschild homology
CONFERENCE Recording during the thematic meeting : « Chromatic Homotopy, K-Theory and Functors» the January 24, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians on CIR
From playlist Topology
Linear Algebra - Part 18 - Linear Maps (Definition)
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From playlist Linear Algebra
Definition of linear map. Algebraic properties of linear maps.
From playlist Linear Algebra Done Right
22. Structure of set addition II: groups of bounded exponent and modeling lemma
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Prof. Zhao explains the Ruzsa covering lemma and uses it
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Oxford Linear Algebra: What is a Vector Space?
University of Oxford mathematician Dr Tom Crawford explains the vector space axioms with concrete examples. Check out ProPrep with a 30-day free trial to see how it can help you to improve your performance in STEM-based subjects: https://www.proprep.uk/info/TOM-Crawford Test your under
From playlist Oxford Linear Algebra
The Additive Group of Integers Modulo n
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Additive Group of Integers Modulo n
From playlist Abstract Algebra
Linear Algebra - Part 18 - Linear Maps (Definition) [dark version]
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From playlist Linear Algebra [dark version]