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Category vs. Group — What's the Difference?

Category vs. Group — What's the Difference?

Difference Between Category and Group

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Category

A class or division of people or things regarded as having particular shared characteristics
The various categories of research

Group

An assemblage of persons or objects gathered or located together; an aggregation
A group of dinner guests.
A group of buildings near the road.

Category

Each of a possibly exhaustive set of classes among which all things might be distributed.

Group

A set of two or more figures that make up a unit or design, as in sculpture.

Category

A specifically defined division in a system of classification; a class.
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Group

A number of individuals or things considered or classed together because of similarities
A small group of supporters across the country.

Category

Aristotle's modes of objective being, such as quality, quantity, or relation, that are inherent in all things.

Group

(Linguistics) A category of related languages that is less inclusive than a family.

Category

Kant's modes of subjective understanding, such as singularity, universality, or particularity, that organize perceptions into knowledge.

Group

A military unit consisting of two or more battalions and a headquarters.

Category

A basic logical type of philosophical conception in post-Kantian philosophy.

Group

A unit of two or more squadrons in the US Air Force, smaller than a wing.

Category

A property or structural unit of a language, such as a part of speech or a type of phrase.

Group

Two or more atoms behaving or regarded as behaving as a single chemical unit.

Category

A specific grammatical defining property of a linguistic unit or class, such as number or gender in the noun and tense or voice in the verb.

Group

A column in the periodic table of the elements.

Category

(Mathematics) A class of objects, together with a class of morphisms between those objects, and an associative composition rule for those morphisms. Categories are used to study a wide variety of mathematical constructions in a similar way.

Group

(Geology) A stratigraphic unit, especially a unit consisting of two or more formations deposited during a single geologic era.

Category

A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
This steep and dangerous climb belongs to the most difficult category.
I wouldn't put this book in the same category as the author's first novel.

Group

(Mathematics) A set, together with a binary associative operation, such that the set is closed under the operation, the set contains an identity element for the operation, and each element of the set has an inverse element with respect to the operation. The integers form a group under the operation of ordinary addition.

Category

(mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.
One well-known category has sets as objects and functions as arrows.
Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

Group

Of, relating to, constituting, or being a member of a group
A group discussion.
A group effort.

Category

One of the highest classes to which the objects of knowledge or thought can be reduced, and by which they can be arranged in a system; an ultimate or undecomposable conception; a predicament.
The categories or predicaments - the former a Greek word, the latter its literal translation in the Latin language - were intended by Aristotle and his followers as an enumeration of all things capable of being named; an enumeration by the summa genera i.e., the most extensive classes into which things could be distributed.

Group

To place or arrange in a group
Grouped the children according to height.

Category

Class; also, state, condition, or predicament; as, we are both in the same category.
There is in modern literature a whole class of writers standing within the same category.

Group

To belong to or form a group
The soldiers began to group on the hillside.

Category

A collection of things sharing a common attribute;
There are two classes of detergents

Group

A number of things or persons being in some relation to one another.
There is a group of houses behind the hill;
He left town to join a Communist group
A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.

Category

A general concept that marks divisions or coordinations in a conceptual scheme

Group

(group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.

Group

An effective divisor on a curve.

Group

A (usually small) group of people who perform music together.
Did you see the new jazz group?

Group

(astronomy) A small number (up to about fifty) of galaxies that are near each other.

Group

(chemistry) A column in the periodic table of chemical elements.

Group

(chemistry) A functional group.
Nitro is an electron-withdrawing group.

Group

(sociology) A subset of a culture or of a society.

Group

(military) An air force formation.

Group

(geology) A collection of formations or rock strata.

Group

(computing) A number of users with the same rights with respect to accession, modification, and execution of files, computers and peripherals.

Group

An element of an espresso machine from which hot water pours into the portafilter.

Group

(music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.

Group

(sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.

Group

(business) A commercial organization.

Group

(transitive) To put together to form a group.
Group the dogs by hair colour

Group

(intransitive) To come together to form a group.

Group

A cluster, crowd, or throng; an assemblage, either of persons or things, collected without any regular form or arrangement; as, a group of men or of trees; a group of isles.

Group

An assemblage of objects in a certain order or relation, or having some resemblance or common characteristic; as, groups of strata.

Group

A variously limited assemblage of animals or plants, having some resemblance, or common characteristics in form or structure. The term has different uses, and may be made to include certain species of a genus, or a whole genus, or certain genera, or even several orders.

Group

A number of eighth, sixteenth, etc., notes joined at the stems; - sometimes rather indefinitely applied to any ornament made up of a few short notes.

Group

To form a group of; to arrange or combine in a group or in groups, often with reference to mutual relation and the best effect; to form an assemblage of.
The difficulty lies in drawing and disposing, or, as the painters term it, in grouping such a multitude of different objects.

Group

Any number of entities (members) considered as a unit

Group

(chemistry) two or more atoms bound together as a single unit and forming part of a molecule

Group

A set that is closed, associative, has an identity element and every element has an inverse

Group

Arrange into a group or groups;
Can you group these shapes together?

Group

Form a group or group together

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