Order theory | Set theory | Binary relations
In mathematics, a total or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation on some set , which satisfies the following for all and in : 1. * (reflexive). 2. * If and then (transitive). 3. * If and then (antisymmetric). 4. * or (strongly connected, formerly called total). Total orders are sometimes also called simple, connex, or full orders. A set equipped with a total order is a totally ordered set; the terms simply ordered set, linearly ordered set, and loset are also used. The term chain is sometimes defined as a synonym of totally ordered set, but refers generally to some sort of totally ordered subsets of a given partially ordered set. An extension of a given partial order to a total order is called a linear extension of that partial order. (Wikipedia).
Orders on Sets: Part 1 - Partial Orders
This was recorded as supplemental material for Math 115AH at UCLA in the spring quarter of 2020. In this video, I discuss the concept and definition of a partial order.
From playlist Orders on Sets
Math 101 090817 Introduction to Analysis 04 Ordered fields
Ordered sets. Examples. Ordered fields. Properties of ordered fields.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Orders on Sets: Part 2 - Total Orders
This was recorded as supplemental content for Math 115AH in the spring quarter of 2020. In this video, we investigate in detail a simple example of a poset, and define a new notion: "total order". Hold music: Bossa Antigua by Kevin MacLeod Link: https://incompetech.filmmusic.io/song/3454
From playlist Orders on Sets
Ever wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence. You can find a partial sum for both finite sequences and infinite sequences. When we talk about the sum of a finite sequence in general, we’re talking about the sum
From playlist Popular Questions
Order of Elements in a Group | Abstract Algebra
We introduce the order of group elements in this Abstract Algebra lessons. We'll see the definition of the order of an element in a group, several examples of finding the order of an element in a group, and we will introduce two basic but important results concerning distinct powers of ele
From playlist Abstract Algebra
This video explains how to add whole numbers. http://mathispower4u.yolasite.com/
From playlist Whole Number Operations
Order of Operations (Whole Numbers): a(b+c(d*e-f))
Use the order of operations to simplify a numerical expression using whole numbers. http://mathispower4u.com
From playlist Order of Operations
Order of Operations (Whole Numbers): a(b*c-d)+e(f*g-h)
Use the order of operations to simplify a numerical expression using whole numbers. http://mathispower4u.com
From playlist Order of Operations
Example 2: Ordering Decimals from Least to Greatest
This video provides an example of ordering 5 decimals in order from least to greatest. Complete video list: http://www.mathispower4u.com
From playlist Introduction to Decimals
The quantum query complexity of sorting under (...) - J. Roland - Main Conference - CEB T3 2017
Jérémie Roland (Brussels) / 15.12.2017 Title: The quantum query complexity of sorting under partial information Abstract: Sorting by comparison is probably one of the most fundamental tasks in algorithmics: given $n$ distinct numbers $x_1,x_2,...,x_n$, the task is to sort them by perfor
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Project In C++ | Hotel Management System Project In C++ | C++ Projects For Beginners | Simplilearn
In this tutorial, we will learn how to make a Project in C++. This project will be a Hotel management project, in which we will have the information of the items or rooms that we have, what food items are ordered by the customer, and how many rooms are allotted to them. Also, this project
From playlist C++ Tutorial Videos
DjangoCon US 2018 - "Normalize until it hurts; denormalize until it works"... by Flávio Juvenal
DjangoCon US 2018 - "Normalize until it hurts; denormalize until it works" in Django by Flávio Juvenal There’s a good practice that says “a database is a representer of facts”. If there’s more than one way to extract a single fact from the database, then there’s a redundancy in it. Every
From playlist DjangoCon US 2018
Dynamical phase transitions, eigenstate thermalization, and Schrodinger cats... - David A. Huse
David A. Huse Princeton University October 15, 2013 An isolated quantum many-body system may be a reservoir that thermalizes its constituents. I will explore an example of the interplay of this thermalization and spontaneous symmetry-breaking, in the ferromagnetic phase of an infinite-rang
From playlist Mathematics
How To Create Grocery Delivery Web App In Python | Session 16 | #python | #webapp | #programming
Don’t forget to subscribe! In this project, we will create a simple grocery store web app in Python; Django, and PostgreSQL, we will learn how to create categories and subcategories, how to create products, manage stock, add to cart, completing an order, and creating a profile. Using Dja
From playlist Create Grocery Delivery Web App In Python
What is a Manifold? Lesson 12: Fiber Bundles - Formal Description
This is a long lesson, but it is not full of rigorous proofs, it is just a formal definition. Please let me know where the exposition is unclear. I din't quite get through the idea of the structure group of a fiber bundle fully, but I introduced it. The examples in the next lesson will h
From playlist What is a Manifold?
SQL Tutorial : SQL Full Course
MY UDEMY COURSES ARE 87.5% OFF TIL March 26th ($9.99) ONE IS FREE ➡️ Python Data Science Series for $9.99 : Highest Rated & Largest Python Udemy Course + 56 Hrs + 200 Videos + Data Science https://bit.ly/Master_Python_50 ➡️ C++ Programming Bootcamp Series for $9.99 : Over 23 Hrs + 53 Vide
From playlist Learn in One Video
Worldwide Calculus: Multivariable Taylor Polynomials and Series
Lecture on 'Multivariable Taylor Polynomials and Series' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Multivariable Derivatives
Mod-01 Lec-22 Exchange Interactions, Magnetic Order, Neutron Diffraction
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
Set Theory (Part 11): Ordering of the Natural Numbers
Please feel free to leave comments/questions on the video and practice problems below! In this video, we utilize the definition of natural number to speak of ordering on the set of all natural numbers. In addition, the well-ordering principle and trichotomy law are proved.
From playlist Set Theory by Mathoma