Model theory

Elementary diagram

In the mathematical field of model theory, the elementary diagram of a structure is the set of all sentences with parameters from the structure that are true in the structure. It is also called the complete diagram. (Wikipedia).

Video thumbnail

Elementary Matrices

This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Augmented Matrices

Video thumbnail

7E The Elementary Matrix

The elementary matrix.

From playlist Linear Algebra

Video thumbnail

Basic Concepts of Elementary Mathematics

In this video I will show you a math book that covers a wide variety of topics. This book is very different from your typical algebra or pre-calc book in that it covers different areas of math. It is primarily written for students who want to become teachers or liberal arts majors. I think

From playlist Book Reviews

Video thumbnail

Counting using the grid plane | Elementary Mathematics (K-6) Explained 1 | NJ Wildberger

We start this course in elementary mathematics suited for a general audience by introducing geometry in the simplest possible way: by using a sheet of graph paper as the basic model, and then doing some simple arithmetic in a geometrical context. We introduce the horizontal and vertical

From playlist Elementary Mathematics (K-6) Explained

Video thumbnail

Elementary projective (line) geometry | Elementary Mathematics (K-6) Explained 11 | NJ Wildberger

Elementary projective geometry is just the geometry of a line, or straightedge. It was introduced by Pappus around 300 A.D., and is ideally suited for K-6 education. This video introduces some basic notions: the join of two points, and the meet of two lines, and definitions of side, vertex

From playlist Elementary Mathematics (K-6) Explained

Video thumbnail

Reduced row echelon form -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

Video thumbnail

Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44

We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge

From playlist Math Foundations

Video thumbnail

Why is calculus so ... EASY ?

Calculus made easy, the Mathologer way :) 00:00 Intro 00:49 Calculus made easy. Silvanus P. Thompson comes alive 03:12 Part 1: Car calculus 12:05 Part 2: Differential calculus, elementary functions 19:08 Part 3: Integral calculus 27:21 Part 4: Leibniz magic notation 30:02 Animations: prod

From playlist Recent videos

Video thumbnail

Lecture 8: Higher-order logic and topoi (Part 1)

The goal of the seminar in S1 of 2018 is to understand classifying topoi. These are topoi which have a universal property with respect to a particular geometric theory, and they are constructed as categories of sheaves on a site, the underlying category of which is defined in terms of the

From playlist Topos theory seminar

Video thumbnail

Nima Rasekh - Every Elementary Higher Topos has a Natural Number Object

Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/NimaSlidesToposesOnline.pdf One key aspect of elementary topos theory is the existence of a natural number object. W

From playlist Toposes online

Video thumbnail

Basic Organization of 6 objects | Six: An Elementary Course in Pure Mathematics Six2 | Wild Egg

We continue our introduction to this elementary course in Pure Mathematics, concentrated on the magical and beautiful properties of the number 6. In our first video we introduced Nodes, Edges and Meets. In this video we review these and give a simple geometrical interpretation of them in t

From playlist Six: An elementary course in Pure Mathematics

Video thumbnail

Geometry in primary school | Arithmetic and Geometry Math Foundations 32 | N J Wildberger

Some comments on the teaching of geometry in primary schools (K-6). I emphasize the importance of the grid plane, as well as constructions and drawing, and give examples of important topics. This video belongs to Wildberger's MathFoundations series, which sets out a coherent and logical f

From playlist Math Foundations

Video thumbnail

The Complexity of Multilinear Averages - Frederick Manners

Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: The Complexity of Multilinear Averages Speaker: Frederick Manners Affiliation: Von Neumann Fellow, School of Mathematics Date: February 28, 2023 A central question in additive combinatorics is to determine wh

From playlist Mathematics

Video thumbnail

Hiraoka Yasuaki (8/30/21): On characterizing rare events in persistent homology

Indecomposables obtained through decompositions of persistent homology are regarded as topological summary of real data. However, as is well known, there exist pathologically complicated indecomposables in multi-parameter persistent homology in purely algebraic setting, and this fact makes

From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021

Video thumbnail

Nicolas Behr - Tracelet Algebras

Stochastic rewriting systems evolving over graph-like structures are a versatile modeling paradigm that covers in particular biochemical reaction systems. In fact, to date rewriting-based frameworks such as the Kappa platform [1] are amongst the very few known approaches to faithfully enco

From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020

Video thumbnail

Eureka Math Grade 4 Module 1 Lesson 13

EngageNY/Eureka Math Grade 4 Module 1 Lesson 13 For more Eureka Math (EngageNY) videos and other resources, please visit http://EMBARC.online PLEASE leave a message if a video has a technical difficulty (audio separating from the video, writing not showing up, etc). Occasionally, Explain

From playlist Eureka Math Grade 4 Module 1

Video thumbnail

Yasu Hiraoka: Limit theorem for persistence diagrams and related topics

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

Video thumbnail

ORM (Object role modeling) lesson 5 - Drawing CS diagrams

In this lesson we start drawing conceptual diagrams - step 2 in information analysis for database design.

From playlist Introduction to Information Systems

Video thumbnail

Model Theory - part 08 - Syntactic Catgories

These are the categories where functors from these dudes are models... these take forever to define. On top of it, these end up just being friggin' definable sets and definable morphisms!! I remember being a place in here where there is a diagram which i say commutes but I need to actually

From playlist Model Theory

Video thumbnail

Projections -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

Related pages

Structure (mathematical logic) | Model theory | Sentence (mathematical logic) | Mathematics | Set (mathematics) | Diagram (mathematical logic) | First-order logic