Commutative Algebra - Integral Closures - part 01 - Basics
This is a video for a second semester graduate algebra class.
From playlist Integral Closures
Commutative Algebra - Integral Closures - part 03 - Integral Closedness is Local (an Normality)
In this video we show that being integrally closed is a local property.
From playlist Integral Closures
Galois theory: Algebraic closure
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically
From playlist Galois theory
Limit Points In this video, I define the notion of a limit point (also known as a subsequential limit) and give some examples of limit points. Limit points are closed: https://youtu.be/b1jYloJXDYY Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFs
From playlist Sequences
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
Closure of Sets (Allegra's Question)
clarifying the idea of closure of a set under an operation
From playlist Middle School This Year
Field Theory - Algebraically Closed Fields (part 2) - Lecture 10
In this video we should that algebraically closed fields exist and are unique. We assume that the direct limit construction works. The construction here depends on the axiom of choice.
From playlist Field Theory
UHCL 23a Graduate Database Course - Minimal Covers Example
This video corresponds to the unit 5 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video goes through an example on how to find a minimal cover for a set of functi
From playlist UHCL Graduate Database Course
UHCL 21a Graduate Database Course - DBMS Theory - Covers
This video corresponds to the unit 4 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video focuses on the idea of "covers." That is, a set of functional dependenceis
From playlist UHCL Graduate Database Course
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
UHCL 19a Graduate Database Course - DBMS Theory - Armstrongs Axioms - Inference Rules
This video corresponds to the unit 4 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video focuses on Armstrong's axioms and why they are important in database desig
From playlist UHCL Graduate Database Course
UHCL 28a Graduate Database Course - First and Second Normal Forms
This video corresponds to the unit 6 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video focuses on the definition of first and second normal forms. Also, it expla
From playlist UHCL Graduate Database Course
Antonio Rieser (03/29/23) Algebraic Topology for Graphs & Mesoscopic Spaces: Homotopy & Sheaf Theory
Title: Algebraic Topology for Graphs and Mesoscopic Spaces: Homotopy and Sheaf Theory Abstract: In this talk, we introduce the notion of a mesoscopic space: a metric space decorated with a privileged scale, and we survey recent developments in the algebraic topology of such spaces. Our ap
From playlist AATRN 2023
UHCL 27a Graduate Database Course - How to use Functional Dependencies to determine keys
This video corresponds to the unit 6 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video focuses on how to use Functional Dependencies to find the key(s) in a rela
From playlist UHCL Graduate Database Course
Why do we hiccup? - John Cameron
View full lesson: http://ed.ted.com/lessons/why-do-we-hiccup-john-cameron The longest recorded case of hiccups lasted for 68 years … and was caused by a falling hog. While that level of severity is extremely uncommon, most of us are no stranger to an occasional case of the hiccups. But wh
From playlist New TED-Ed Originals
Alex Amenta: Gamma-radonifying operators in harmonic and stochastic analysis
The lecture was held within the of the Hausdorff Junior Trimester Program: Randomness, PDEs and Nonlinear Fluctuations. Abstract: Various theorems in harmonic and stochastic analysis (e.g. Littlewood-Paley theorems, the Itô isometry) represent the norm of a function in terms of a square f
From playlist HIM Lectures: Junior Trimester Program "Randomness, PDEs and Nonlinear Fluctuations"
UHCL 20a Graduate Database Course - DBMS Theory - X Closure
This video corresponds to the unit 4 notes for a graduate database (dbms) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video focuses on the concept of "X closure."
From playlist UHCL Graduate Database Course
UHCL 33a Graduate Database Course - BCNF Paired Attribute Algorithm - Part 1
This video corresponds to the unit 6 notes for a graduate database (DBMS) course taught by Dr. Gary D. Boetticher at the University of Houston - Clear Lake (UHCL). The theme is relational database theory. This video looks at how to decompose a relation schema into Boyce-Codd Normal Form (B
From playlist UHCL Graduate Database Course
Definite Integral Using Limit Definition
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definite Integral Using Limit Definition. In this video we compute a definite integral using the limit definition.
From playlist Calculus