Arithmetic | Mathematical notation
In mathematics, brackets of various typographical forms, such as parentheses, square brackets [ ], braces { } and angle brackets ⟨ ⟩, are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take precedence over those surrounding it. Sometimes, for the clarity of reading, different kinds of brackets are used to express the same meaning of precedence in a single expression with deep nesting of sub-expressions. Historically, other notations, such as the vinculum, were similarly used for grouping. In present-day use, these notations all have specific meanings. The earliest use of brackets to indicate aggregation (i.e. grouping) was suggested in 1608 by Christopher Clavius, and in 1629 by Albert Girard. (Wikipedia).
What is a Module? (Abstract Algebra)
A module is a generalization of a vector space. You can think of it as a group of vectors with scalars from a ring instead of a field. In this lesson, we introduce the module, give a variety of examples, and talk about the ways in which modules and vector spaces are different from one an
From playlist Abstract Algebra
Expanding Double Brackets | Algebra | Maths | FuseSchool
In this video we’re going to look at how to expand double brackets. Once we know how to expand double brackets, we’ll also be able to expand triple brackets and so on, so we’ll have a look at a triple bracket example towards the end of this video. When expanding double brackets, we need t
From playlist MATHS
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
Expanding Square Brackets | Algebra | Maths | FuseSchool
In this video we’re going to have a look at how to expand squared brackets. You should already know how to expand double brackets by multiplying each term in the first bracket, by each term in the second bracket and then simplifying. EXAMPLE: (x - 4)(x + 3) = x^2 - 4x + 3x - 12 = x^2 - x
From playlist MATHS
Introduction to Matrices | Geometry | Maths | FuseSchool
Introduction to Matrices | Geometry | Maths | FuseSchool Chances are, you have heard the word “matrices” in a movie. But do you know what they are or what they are used for? Well, “matrices” is plural of a “matrix”. And you can think about a matrix as just a table of numbers, and that’s
From playlist MATHS: Geometry & Measures
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College Algebra
Math Prof answers 6÷2(1+2) = ? once and for all ***Viral Math Problem***
lol, am I really doing this? Ok, fine. There is a ***viral math problem*** about, uh, order of operations. You know, #BEDMAS or #PEMDAS. The most common form is 6/2(1+2) but it also shows up as 60/5(7-5) and other equivalent forms. What is the correct answer explained by a math prof? Sorry
From playlist Cool Math Series
Five Elementary Tips to Improve Mathematical Handwriting Effectively
This video is dedicated to students, teachers, or anyone who writes math and wants to deliver mathematical expressions in a more elegant, easy-to-consume way for readers. It is motivated by The Summer of Math Exposition (#SoME1) thanks to 3Blue1Brown. The animation is made by Apple Keynote
From playlist Summer of Math Exposition Youtube Videos
We all have learned about 'order of operations' / BODMAS / PEMDAS in school. But do you know why do we have to follow this one particular order? If this is a convention, why do we need a convention? Could we survive without this convention? The whole idea of this video is to demystify the
From playlist Summer of Math Exposition Youtube Videos
[Discrete Mathematics] Catalan Numbers
In this video we introduce the Catalan Numbers, which is a way of looking at lattice paths from (0,0) to (n,n) where it never crosses the diagonal line. This is also the number of ways to multiply n+1 products. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1
From playlist Discrete Math 2
LaTex Tutorial for Beginners Full Course
LaTeX is a high-quality typesetting system; it includes features designed for the production of technical and scientific documentation. LaTeX is the de facto standard for the communication and publication of scientific documents. #LaTeX is available as free software. ⭐ Table of Content ⭐
From playlist LaTex Tutorial
Introduction and Invitation | Six: An Elementary Course in Pure Mathematics Six 1| Wild Egg
Welcome to Six --- an Elementary Course in Pure Mathematics meant for a general lay audience with a minimal amount of mathematical prerequisites! In this video we introduce the basic objects: the symbols 1,2,3,4,5 and 6 along with the basic tools to create more complex mathematical objec
From playlist Six: An elementary course in Pure Mathematics
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From playlist Advent of Mathematical Symbols 2022
"Understand the order in which operators in an expression are evaluated according to BIDMAS."
From playlist Number: Order of Operations
Session 2 - Cluster Algebras and Scattering Amplitudes: Marcus Spradlin
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Secondary products in SUSY QFT by Tudor Dimofte
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)