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How to group formula article

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hey everyone and welcome to this video on functional groups general formula and homologous series we are firstly going to look at what functional groups are and how to identify them then well talk about how functional groups relate to and can help classify something called a homologous series building on this well see how we can use a general formula to predict the formula of some compounds depending on which group of organic compounds they belong to so lets get started to start off with functional groups are a group of atoms within an organic compound that give the organic compound its unique chemical and physical properties for example on the screen weve got a molecule of ethane ethane is classified as an alkane because it only has carbon and hydrogen in single bonds however if we added a double bond between two carbons at the start of the molecule we get the compound ethene which is an alkene we look at what alkenes and alkanes are in more depth in other lessons for now we just

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How many groups are there in group theory?

Group theory has three main historical sources: number theory, the theory of algebraic equations, and geometry.

What is the best example of a group?

The primary group is usually made up of docHub others, those individuals who have the most impact on our socialization. The best example of a primary group is the family.

What is the concept of group theory?

Group theory is the study of a set of elements present in a group, in Maths. A groups concept is fundamental to abstract algebra. Other familiar algebraic structures namely rings, fields, and vector spaces can be recognized as groups provided with additional operations and axioms.

Where did group theory come from?

There are four major sources in the evolution of group theory. They are (with the names of the originators and dates of origin): (a) Classical algebra (J. L. Lagrange, 1770) (b) Number theory (C. F. Gauss, 1801) (c) Geometry (F. Klein, 1874) (d) Analysis (S.

Who is the group theory scientist?

variste Galois coined the term group and established a connection, now known as Galois theory, between the nascent theory of groups and field theory. In geometry, groups first became important in projective geometry and, later, non-Euclidean geometry.

What are the requirements for a group?

A group must contain at least one element, with the unique (up to isomorphism) single-element group known as the trivial group. The study of groups is known as group theory. If there are a finite number of elements, the group is called a finite group and the number of elements is called the group order of the group.

Who is the founder of group theory?

The earliest of the names proposed as founder of the group theory is that of Lagrange, and his claim is based upon his admirable paper on the algebraic solutions of equations, published in the Berlin Nouveaux M6moires, 1770 and 1771.

What are the properties of group in group theory?

So, a group holds five properties simultaneously - i) Closure, ii) Associative, iii) Identity element, iv) Inverse element, v) Commutative.

What is an example of group in group theory?

The following are common examples of groups: 1) Z \mathbb{Z} Z, the set of integers, with the group operation of addition. 2) R \mathbb{R}^\times R, the set of non-zero real numbers, with the group operation of multiplication.

What is the purpose of group theory?

Broadly speaking, group theory is the study of symmetry. When we are dealing with an object that appears symmetric, group theory can help with the analysis. We apply the label symmetric to anything which stays invariant under some transformations.

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