group : Dictionary / Wörterbuch (BEOLINGUS, TU Chemnitz)

English Dictionary: group	by the DICT Development Group
4 results for group
From WordNet (r) 3.0 (2006) [wn]:
group n any number of entities (members) considered as a unit [syn: group, grouping] (chemistry) two or more atoms bound together as a single unit and forming part of a molecule Synonym(s): group, radical, chemical group a set that is closed, associative, has an identity element and every element has an inverse Synonym(s): group, mathematical group v arrange into a group or groups; "Can you group these shapes together?" form a group or group together Synonym(s): group, aggroup
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
Group \Group\, v. t. [imp. & p. p. {Grouped}; p. pr. & vb. n. {Grouping}.] [Cf. F. grouper. See {Group}, n.] 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. --Prior. {Grouped columns} (Arch.), three or more columns placed upon the same pedestal.
From Webster's Revised Unabridged Dictionary (1913) [web1913]:
Group \Group\, n. [F groupe, It. gruppo, groppo, cluster, bunch, packet, group; of G. origin: cf. G. krepf craw, crop, tumor, bunch. See {Crop}, n.] 1. 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. 2. An assemblage of objects in a certain order or relation, or having some resemblance or common characteristic; as, groups of strata. 3. (Biol.) 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. 4. (Mus.) 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.
From The Free On-line Dictionary of Computing (15Feb98) [foldoc]:
group 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 , ab in G Associative: * is associative on G, (ab)c = a(bc) Identity: There is an identity element e such that ae = ea = 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)