grouping

n. assembly, gathering, collecting

v. divide into groups; assemble, gather; classify, sort

Grouping is form of hierarchical knowledge representation, similar to mind mapping, concept mapping and argument mapping, all of which need to observe at least some of the principles of grouping.The principles of grouping include MECE (mutually exclusive and collectively exhaustive), levels of abstraction and horizontal and vertical congruence.
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Noun
1. any number of entities (members) considered as a unit
(synonym) group
(hyponym) arrangement
2. the activity of putting things together in groups
(hypernym) activity
(hyponym) pairing
(derivation) group, aggroup
3. a system for classifying things into groups
(synonym) pigeonholing
(hypernym) classification system

Noun
1. any number of entities (members) considered as a unit
(synonym) grouping
(hyponym) arrangement
(derivation) aggroup
2. (chemistry) two or more atoms bound together as a single unit and forming part of a molecule
(synonym) radical, chemical group
(hypernym) unit, building block
(hyponym) acyl, acyl group
(part-holonym) molecule
(classification) chemistry, chemical science
3. a set that is closed, associative, has an identity element and every element has an inverse
(synonym) mathematical group
(hypernym) set
(hyponym) subgroup
Verb
1. arrange into a group or groups; "Can you group these shapes together?"
(hypernym) classify, class, sort, assort, sort out, separate
(hyponym) regroup
(derivation) grouping
2. form a group or group together
(synonym) aggroup
(hypernym) meet, gather, assemble, forgather, foregather
(hyponym) team, team up
(derivation) grouping

(p. pr. & vb. n.)
of Group
  

(n.)
The disposal or relative arrangement of figures or objects, as in, drawing, painting, and sculpture, or in ornamental design.
  

A group G is a non-empty set upon which a binary operator * is defined with the following properties for all a,b,c in G:
Closure: G is closed under *, a*b in G Associative: * is associative on G, (a*b)*c = a*(b*c) Identity: There is an identity element e such that a*e = e*a = a. Inverse: Every element has a unique inverse a' such that a * a' = a' * a = e. The inverse is usually written with a superscript -1.
(1998-10-03)