Division (mathematics) | Real numbers
In arithmetic, a quotient (from Latin: quotiens 'how many times', pronounced /ˈkwoʊʃənt/) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of proper division). For example, when dividing 20 (the dividend) by 3 (the divisor), the quotient is "6 with a remainder of 2" in the Euclidean division sense, and in the proper division sense. In the second sense, a quotient is simply the ratio of a dividend to its divisor. (Wikipedia).
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under
From playlist Abstract algebra
What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.
From playlist Calculus
Simplify an expression by applying quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
PreCalculus | Finding the difference quotient: Example 3
We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist PreCalculus
Learn the basics for simplifying an expression using the rules of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Visual Group Theory, Lecture 3.5: Quotient groups
Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo
From playlist Visual Group Theory
Simplifying a monomial using the rules of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Difference Quotient - What is it? (PreCalculus)
How to find the Difference Quotient. We discuss how the difference quotient represents a formula for the slope between points but as the distance between the two points decreases you get the instant rate of change or the slope of the tangent line. 0:04 What is the Difference Quotient 0:11
From playlist Difference Quotient & Derivatives
What is a Manifold? Lesson 14: Quotient Spaces
I AM GOING TO REDO THIS VIDEO. I have made some annotations here and annotations are not visible on mobile devices. STAY TUNED. This is a long lesson about an important topological concept: quotient spaces.
From playlist What is a Manifold?
Ex: Division Using Partial Quotient - Two Digit Divided by One Digit (With Remainder)
This video explains how to perform division using partial quotients. http://mathispower4u.com
From playlist Multiplying and Dividing Whole Numbers
Prayagdeep Parija: Random Quotients of Hyperbolic Groups and Property (T)
Prayagdeep Parija, University of Wisconsin Milwaukee Title: Random Quotients of Hyperbolic Groups and Property (T) What does a typical quotient of a group look like? Gromov had looked at density model of quotients of free groups. The density parameter d measures the rate of exponential gro
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Partial Quotients - Dividing Whole Numbers
The video explains how to use the method of partial quotients to divide whole numbers. This is an alternative method to performing long division. Library: http://www.mathispower4u.com Search: http://www.mathispower4u.wordpress.com
From playlist Multiplication and Division of Whole Numbers
Visual Group Theory, Lecture 4.5: The isomorphism theorems
Visual Group Theory, Lecture 4.5: The isomorphism theorems There are four central results in group theory that are collectively known at the isomorphism theorems. We introduced the first of these a few lectures back, under the name of the "fundamental homomorphism theorem." In this lectur
From playlist Visual Group Theory
Division of Fractions Using Common Denominators and Models
This video explains how to determine the quotient of fractions using a common denominator.
From playlist Multiplication and Division of Mixed Numbers
Profinite rigidity and flexibility for compact 3-manifold groups -Reid
Geometric Structures on 3-manifolds Topic:Profinite rigidity and flexibility for compact 3-manifold groups Speaker: Alan Reid Date: Tuesday, February 2 This talk will discuss the question: To what extent are the fundamental groups of compact 3-manifolds determined (amongst the fundamental
From playlist Mathematics
What is a Manifold? Lesson 15: The cylinder as a quotient space
What is a Manifold? Lesson 15: The cylinder as a quotient space This lesson covers several different ideas on the way to showing how the cylinder can be described as a quotient space. Lot's of ideas in this lecture! ... too many probably....
From playlist What is a Manifold?
Rahul PANDHARIPANDE - Stable quotients and relations in the tautological ring
The topic concerns relations among the kappa classes in the tautological ring of the moduli space of genus g curves. After a discussion of classical constructions in Wick form, we derive an explicit set of relations obtained from the virtual geometry of the moduli space of stable quotients
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten
Ex 2: The Difference Quotient (Quadratic Function)
This video provides an example of how to find the difference quotient for a quadratic function. Site: http://mathispower4u.com
From playlist Determining Function Values
Profinite rigidity – Alan Reid – ICM2018
Topology Invited Lecture 6.7 Profinite rigidity Alan Reid Abstract: We survey recent work on profinite rigidity of residually finite groups. © International Congress of Mathematicians – ICM www.icm2018.org Os direitos sobre todo o material deste canal pertencem ao Instituto de Mat
From playlist Topology