Mathematical logic | Model theory | Universal algebra
In mathematical logic, an (induced) substructure or (induced) subalgebra is a structure whose domain is a subset of that of a bigger structure, and whose functions and relations are restricted to the substructure's domain. Some examples of subalgebras are subgroups, submonoids, subrings, subfields, subalgebras of algebras over a field, or induced subgraphs. Shifting the point of view, the larger structure is called an extension or a superstructure of its substructure. In model theory, the term "submodel" is often used as a synonym for substructure, especially when the context suggests a theory of which both structures are models. In the presence of relations (i.e. for structures such as ordered groups or graphs, whose signature is not functional) it may make sense to relax the conditions on a subalgebra so that the relations on a weak substructure (or weak subalgebra) are at most those induced from the bigger structure. Subgraphs are an example where the distinction matters, and the term "subgraph" does indeed refer to weak substructures. Ordered groups, on the other hand, have the special property that every substructure of an ordered group which is itself an ordered group, is an induced substructure. (Wikipedia).
Intro to Subsequences | Real Analysis
What are subsequences in real analysis? In today's lesson we'll define subsequences, and see examples and nonexamples of subsequences. We can learn a lot about a sequence by studying its subsequence, so let's talk about it! If (a_n) is a sequence, we can denote a subsequence of (a_n) as (
From playlist Real Analysis
Determine a Subtraction Problem Modeled on a Number Line
This video explains how to write an subtraction equation from a number line model. http://mathispower4u.com
From playlist Addition and Subtraction of Whole Numbers
Math 131 Fall 2018 102918 Subsequences
Definition of subsequence. A sequence converges iff every subsequence converges. Sequence in a compact space has a convergent subsequence. Corollary: bounded sequences in Euclidean space have convergent subsequences. Cauchy sequences. Convergent implies Cauchy. Definition of diameter
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
This video explains what a mathematical function is and how it defines a relationship between two sets, the domain and the range. It also introduces three important categories of function: injective, surjective and bijective.
From playlist Foundational Math
Addition and Subtraction of Fractions
We know about addition and subtraction, we know about fractions, so let's learn to add and subtract fractions! This is now possible because we know how to find the least common multiple of two numbers, which we will need to do to be able to get the denominators to agree. It's easy! Watch
From playlist Mathematics (All Of It)
Live CEOing Ep 445: Language Design in Wolfram Language [Chemistry 12.3 Functions]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wo
From playlist Behind the Scenes in Real-Life Software Design
Lec 9 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 9: Solution of equilibrium equations in static analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
Overview of Univalent Foundations - Vladimir Voevodsky
Vladimir Voevodsky Institute for Advanced Study September 27, 2012 (Continued from September 26, 2012) For more videos, visit http://video.ias.edu
From playlist Mathematics
Prealgebra 1.3b - Words that Indicate Subtraction
Word problems involving subtractions, and how to recognize when subtraction is the appropriate operation to use. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.
From playlist Prealgebra Chapter 1 (Complete chapter)
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
Live CEOing Ep 175: Chemistry in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Chemistry in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Arnaud Durand : A quick and partial survey on the complexity of query answering
CONFERENCE Recording during the thematic meeting : « Discrete mathematics and logic: between mathematics and the computer science » the January 19, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other
From playlist Logic and Foundations
The (very) basics of sets part one. -- Proof Writing 1
The Book of Proof: https://www.people.vcu.edu/~rhammack/BookOfProof ⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKB
From playlist Proof Writing
Solving Inequalities using Addition and Subtraction
This video is about Solving Inequalities using Addition and Subtraction
From playlist Equations and Inequalities
Haggai Maron: Subgraph-based networks for expressive, efficient, and domain-independent graph...
CONFERENCE Recording during the thematic meeting : " Machine Learning and Signal Processing on Graphs" the November 8, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematicians
From playlist Mathematical Aspects of Computer Science
The Magical Gluing Lemma, Part 1
The first of 3 videos explain the research I participated in during my undergrad in 2018. The subject of this video is complimentary to a blog article I wrote for the blog UnderRad. https://underrad.webflow.io/ My Twitter: https://twitter.com/KristapsBalodi3
From playlist The Magical Gluing Lemma
Ralf Schindler Universität Münster, Germany
From playlist Talks of Mathematics Münster's reseachers
01b Spatial Data Analytics: Subsurface Data
Lecture of the data available for subsurface modeling.
From playlist Spatial Data Analytics and Modeling
Substructural Type Theory - Zeilberger
Noam Zeilberger IMDEA Software Institute; Member, School of Mathematics March 22, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics