Semigroup theory | Ergodic theory | Ramsey theory

IP set

In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set. The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty subset of D.The set of all finite sums over D is often denoted as FS(D). Slightly more generally, for a sequence of natural numbers (ni), one can consider the set of finite sums FS((ni)), consisting of the sums of all finite length subsequences of (ni). A set A of natural numbers is an IP set if there exists an infinite set D such that FS(D) is a subset of A. Equivalently, one may require that A contains all finite sums FS((ni)) of a sequence (ni). Some authors give a slightly different definition of IP sets: They require that FS(D) equal A instead of just being a subset. The term IP set was coined by Hillel Furstenberg and Benjamin Weiss to abbreviate "infinite-dimensional parallelepiped". Serendipitously, the abbreviation IP can also be expanded to "idempotent" (a set is IP if and only if it is a member of an idempotent ultrafilter). (Wikipedia).

Video thumbnail

the Internet (part 2)

An intro to the core protocols of the Internet, including IPv4, TCP, UDP, and HTTP. Part of a larger series teaching programming. See codeschool.org

From playlist The Internet

Video thumbnail

LINUX : Setting up NAT with iptables

More videos like this on http://www.theurbanpenguin.com : In this video we look up setting up a NAT router on openSUSE 11.4 to provide access to the internet from our private intranet

From playlist Linux

Video thumbnail

IP Security: Part 2

Fundamental concepts of IPSec are discussed. Authentication Header is explained. Encapsulating Security Payload (ESP) and Internet Key Exchange (IKE) are analyzed.

From playlist Network Security

Video thumbnail

IP Security: Part 1

Fundamental concepts of IPSec are discussed. Authentication Header is explained. ESP & IKE are analyzed.

From playlist Network Security

Video thumbnail

What Is An IP Address And How Does It Work? | IP Address Explained Simply | Simplilearn

In this video on what is an IP address, we will understand how our network devices and system access internet for various services. Then we will understand what function does an IP address performs and also what different types of IP addresses are avilable on the network and some details r

From playlist Cyber Security Playlist [2023 Updated]🔥

Video thumbnail

the Internet (part 4)

An intro to the core protocols of the Internet, including IPv4, TCP, UDP, and HTTP. Part of a larger series teaching programming. See codeschool.org

From playlist The Internet

Video thumbnail

LINUX: Command Line IP - Comparing openSUSE 11.3 with Windows 7

More videos like this at http://www.theurbanpenguin.com : In IT Windows is not all about the GUI and Linux not all about command line tools. So in this demo we look at using command line tools to set the IP address and default gateway on both openSUSE11.3 and Windows 7.

From playlist Windows

Video thumbnail

Data Modeling In Power BI | Data Modeling Tutorial | Power BI Tutorial For Beginners | Simplilearn

🔥 Data Analyst Master's Program (Discount Code: YTBE15): https://www.simplilearn.com/data-analyst-masters-certification-training-course?utm_campaign=DataModelingInPowerBI-cbJTgA7bbjY&utm_medium=DescriptionFF&utm_source=youtube 🔥 Professional Certificate Program In Data Analytics: https://w

From playlist Power BI Tutorial Videos [2022 Updated]

Video thumbnail

Linux Administration Tutorial - Configuring A DNS Server In 10 Simple Steps | Edureka Live

( Linux Administration Certification Training - https://www.edureka.co/linux-admin ) This Linux administration video tutorial is ideal for those who want to learn how to configure a DNS server in Linux. The following topics have been covered in this tutorial: 1. What is DNS? 2. How Does D

From playlist Edureka Live Videos

Video thumbnail

DevOps Prerequisites Course - Getting started with DevOps

Learn about DevOps with this beginner's course. The course covers the basic prerequisites knowledge needed for your journey into the Cloud and DevOps world. You will learn things like setting up a basic lab environment using VirtualBox, dealing with networking issues, using the Linux comma

From playlist DevOps Courses

Video thumbnail

DEFCON 18: Who Cares About IPv6 2/2

Speaker: Sam Bowne What is IPv6? Why should you care? If we ignore it, will it just go away? The current Internet Protocol numbering scheme, IPv4, is nearing its end-of-life. Within two years, all the IPv4 numbers will be allocated, so that new devices will not be able to connect dir

From playlist DEFCON 18-1

Video thumbnail

Linux Security - UFW Complete Guide (Uncomplicated Firewall)

In this video series, we will be taking a look at how to set up, secure, and audit Linux servers. This video will explain and demonstrate how to set up and configure UFW and various firewall rules. Register for part 2 of the Linux Server Security Series: https://event.on24.com/eventRegist

From playlist Linux

Video thumbnail

Kubernetes Course - Full Beginners Tutorial (Containerize Your Apps!)

Learn how to use Kubernetes in this complete course. Kubernetes makes it possible to containerize applications and simplifies app deployment to production. ✏️ Course developed by Bogdan Stashchuk. Check out his channel: https://www.youtube.com/c/CodingTutorials ⭐️ Course Contents ⭐️ ⌨️

From playlist DevOps Courses

Video thumbnail

🔥Computer Networks Full Course | Computer Network Security | Networking Course 2022 | Simplilearn

🔥Free Cyber Security Course With Completion Certificate: https://www.simplilearn.com/learn-cyber-security-basics-skillup?utm_campaign=CNFC07Aug22&utm_medium=DescriptionFirstFold&utm_source=youtube This video on computer network full course is designed and deployed in collaboration with re

From playlist Simplilearn Live

Video thumbnail

Node.js Live - 3 | Real-time Chat Application Using Node.js & Socket IO | Node.js Training | Edureka

🔥Edureka Node.js Training: https://www.edureka.co/nodejs-certification-training This Edureka video on Real-time Chat Application Using Node.js Socket I/O will demonstrate how you can build a Chat application by making use of Node.js. 🔹Node.js playlist here: https://goo.gl/mEkHWw --------

From playlist Edureka Live Classes 2020

Video thumbnail

Introduction to TCP/IP and Sockets, part 1: Introducing the protocols and API

This is a basic introduction to the Internet protocols and how to use them in programs using sockets. This is the first of two introduction videos on the Internet Protocol and its family of associated protocols (UDP, TCP, etc.) as well as Sockets, a pseudo-standard interface made for prog

From playlist Introduction to TCP/IP and Sockets

Video thumbnail

Networking Commands For Beginners 2022 | Networking Commands In Windows With Example | Simplilearn

In this video on Network Commands, we will understand the working of the command prompt in the Windows operating system. This video will help beginners understand the various network commands available to them, which help diagnose and troubleshoot network-related issues in the system and a

From playlist Cyber Security Playlist [2023 Updated]🔥

Related pages

Piecewise syndetic set | Journal of Combinatorial Theory | Mathematics | Natural number | Ramsey's theorem | Ultrafilter | Thick set | Syndetic set | Ergodic Ramsey theory | Infinite set | Parallelepiped | Semigroup | Milliken–Taylor theorem