In topology and related areas of mathematics, a subnet is a generalization of the concept of subsequence to the case of nets. The analogue of "subsequence" for nets is the notion of a "subnet". The definition is not completely straightforward, but is designed to allow as many theorems about subsequences to generalize to nets as possible. There are three non-equivalent definitions of "subnet". The first definition of a subnet was introduced by John L. Kelley in 1955 and later, Stephen Willard introduced his own (non-equivalent) variant of Kelley's definition in 1970. Subnets in the sense of Willard and subnets in the sense of Kelley are the most commonly used definitions of "subnet" but they are each not equivalent to the concept of "subordinate filter", which is the analog of "subsequence" for filters (they are not equivalent in the sense that there exist subordinate filters on whose filter/subordinate–filter relationship cannot be described in terms of the corresponding net/subnet relationship). A third definition of "subnet" (not equivalent to those given by Kelley or Willard) that is equivalent to the concept of "subordinate filter" was introduced independently by Smiley (1957), Aarnes and Andenaes (1972), Murdeshwar (1983), and possibly others, although it is not often used. This article discusses the definition due to Stephen Willard (the other definitions are described in the article Filters in topology#Subnets). (Wikipedia).
A subgraph consist of nodes and edges of a larger graph. In this tutorial I show you what a subgraph is and present an elegant representation in Mathematica. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until Udemy has a sale an
From playlist Introducing graph theory
Lecture notes explaining vocabulary terms such as subgraph, spanning, trees, and redundancy. Guided problems worked out with explanation.
From playlist Discrete Math
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What is a subgraph? We go over it in today's math lesson! If you're familiar with subsets, then subgraphs are probably exactly what you think they are. Recall that a graph G = (V(G), E(G)) is an ordered pair with a vertex set V(G) and an edge set E(G). Then, another graph H = (V(H), E(H))
From playlist Graph Theory
What is a Spanning Subgraph? | Graph Theory
What is a spanning subgraph? We go over this special type of subgraph in today's math lesson! Recall that a graph is an ordered pair G = ( V(G), E(G) ) with vertex set V and edge set E. Another graph, H = ( V(H), E(H) ) is a subgraph of G if and only if V(H) is a subset of V(G) and E(H) is
From playlist Graph Theory
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which
From playlist Sequences
Watch and Learn Algebra, Precalculus, Trigonometry
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From playlist Cool Math Stuff
Subgraphs and Induced Subgraphs
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From playlist Graph Theory (Discrete Math)
Subtraction and Division | Arithmetic and Geometry Math Foundations 4 | N J Wildberger
Subtraction and division are inverse operations to addition and multiplication. Here we work with a very simple, even naive, approach to numbers, pre-dating the Hindu-Arabic number system. However we can still discuss arithmetical operations, and do computations! This lecture is part of t
From playlist Math Foundations
Determine a Subtraction Problem Modeled on a Number Line
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From playlist Addition and Subtraction of Whole Numbers
DeepSec 2010: Recent advances in IPv6 Insecurities
Thanks to the DeepSec organisation for making these videos available and let me share the videos on YouTube. Speaker: Marc Heuse, Baseline Security Consulting Five years have past since my initial talk on IPv6 insecurities 2005 and 2006. New protocol features have been proposed and imple
From playlist DeepSec 2010
Amazon Virtual Private Cloud (VPC) | AWS VPC | AWS Tutorial for Beginners | Edureka
** Edureka AWS Certification Training (Use Code: YOUTUBE20) - https://www.edureka.co/aws-certification-training This "AWS VPC Tutorial" will provide a deep-dive into Amazon Virtual Private Cloud. Throughout the session, you'll learn about various concepts such as Subnets, Route Tables, In
From playlist AWS Certification Training Videos
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From playlist AWS Tutorial Videos For Beginners 🔥[2022 Updated] | Simplilearn
Azure Virtual Network Tutorial | Azure Virtual Network Explained | Azure Training | Simplilearn
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From playlist Azure Tutorial Videos 🔥[2022 Updated]
Subneting Explained | What Is Subneting? | How It Works? | Networking Tutorial | Simplilearn
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From playlist Cyber Security Playlist [2023 Updated]🔥
Addendum for Supermasks in Superposition: A Closer Look (Paper Explained)
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From playlist Papers Explained
AWS VPC Tutorial | Amazon Virtual Private Cloud | AWS Training Videos | Simplilearn
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From playlist AWS Tutorial Videos For Beginners 🔥[2022 Updated] | Simplilearn
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From playlist AWS Tutorial Videos
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From playlist AWS Tutorial Videos For Beginners 🔥[2022 Updated] | Simplilearn
Discrete Math – Intro to Networks
This video introduces the student to minimum network problems, trees, and spanning graphs.
From playlist Discrete Math