In set theory and its applications throughout mathematics, a subclass is a class contained in some other class in the same way that a subset is a set contained in some other set. That is, given classes A and B, A is a subclass of B if and only if every member of A is also a member of B.If A and B are sets, then of course A is also a subset of B.In fact, when using a definition of classes that requires them to be first-order definable, it is enough that B be a set; the axiom of specification essentially says that A must then also be a set. As with subsets, the empty set is a subclass of every class, and any class is a subclass of itself. But additionally, every class is a subclass of the class of all sets. Accordingly, the subclass relation makes the collection of all classes into a Boolean lattice, which the subset relation does not do for the collection of all sets. Instead, the collection of all sets is an ideal in the collection of all classes. (Of course, the collection of all classes is something larger than even a class!) (Wikipedia).
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
Introduction to sets || Set theory Overview - Part 1
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
What is set subtraction? In this video we go over that, the set minus set operation, and an example of subtraction in set theory. This is a handy concept to grasp to understand the complement of a set and universal sets, which I also have videos on. Links below. I hope you find this vide
From playlist Set Theory
What are Supersets? | Set Theory, Subsets, Set Relations
What are supersets? We'll be going over the definition and examples of supersets in today's video set theory lesson! If B is a subset of A then A is a superset of B. The superset relation is the same as the subset relation but in the opposite direction! Remember if every element of B is
From playlist Set Theory
Introduction to Set Theory (Discrete Mathematics)
Introduction to Set Theory (Discrete Mathematics) This is a basic introduction to set theory starting from the very beginning. This is typically found near the beginning of a discrete mathematics course in college or at the beginning of other advanced mathematics courses. ***************
From playlist Set Theory
Introduction to ADVANCED CALCULUS Sets and Notation
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to ADVANCED CALCULUS Sets and Notation - Definition of a Set and notion/symbols denoting set membership. - Set builder and interval notation. - Definition of union and intersection of sets and set complement. - The set
From playlist Advanced Calculus
Category Theory 3.1: Examples of categories, orders, monoids
Examples of categories, orders, monoids.
From playlist Category Theory
03.6b - Logical Inferences with RDFS
Information Service Engineering 2021 Prof. Dr. Harald Sack Karlsruhe Institute of Technology Summer semester 2021 Lecture7: Knowledge Graphs - 2 3.6b Logical Inferences with RDFS - RDFS Semantics - Inferences with RDFS Playlist: https://www.youtube.com/playlist?list=PLNXdQl4kBgzuuZZkIT
From playlist ISE 2021 - Lecture 07, 02.06.2021
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go
From playlist Set Theory
Java Live - 3 | Inheritance in Java | Java Tutorial for Beginners | Java Training | Edureka
🔥Edureka Java Certification Training: https://www.edureka.co/java-j2ee-training-course This Edureka video on "Inheritance in Java" will provide you with detailed knowledge about Java Inheritance. This video will also cover some real-time examples on Inheritance in Java, in order to provide
From playlist Edureka Live Classes 2020
Lecture 26 | Programming Paradigms (Stanford)
Lecture by Professor Jerry Cain for Programming Paradigms (CS107) in the Stanford University Computer Science department. In this lecture, Prof. Cain lectures on the Python programming language in relation to XML processing and the internet. Programming Paradigms (CS107) introduces sev
From playlist Lecture Collection | Programming Paradigms
On finite dimensional omega-categorical structures (...) - P. Simon - Workshop 1 - CEB T1 2018
Pierre Simon (Berkeley) / 31.01.2018 On finite dimensional omega-categorical structures and NIP theories The study of omega-categorical structures lies at the intersection of model theory, combinatorics and group theory. Some classes of omega-categorical structures have been classified,
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Game Programming Patterns part 14.1 - Reading Subclass Sandbox
We read through the Subclass Sandbox chapter of the Game Programming Patterns book. Links code - https://github.com/brooks-builds/learning_game_design_patterns twitter - https://twitter.com/brooks_patton book - http://gameprogrammingpatterns.ocm/ -- Watch live at https://www.twitch.tv/b
From playlist Game Programming Patterns Book
“Data-Driven Pricing” – Prof. Omar Besbes
Pricing is central to many industries and academic disciplines ranging from Operations Research to Economics and Computer Science. At the heart of pricing lies a fundamental informational dimension regarding the level of knowledge about customers' values. In practice, the latter comes from
From playlist Thematic Program on Stochastic Modeling: A Focus on Pricing & Revenue Management​
Decomposition theorem for semisimple algebraic holonomic D-modules - Takuro Mochizuki
Members' Seminar Topic: Decomposition theorem for semisimple algebraic holonomic D-modules Speaker: Takuro Mochizuki Affiliation: Kyoto University Date: November 13, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
RailsConf 2014 - All the Little Things by Sandi Metz
Theory tells us to build applications out of small, interchangeable objects but reality often supplies the exact opposite. Many apps contain huge classes of long methods and hair-raising conditionals; they're hard to understand, difficult to reuse and costly to change. This talk takes an u
From playlist RailsConf 2014
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)