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6 definitions found
 for group
From The Collaborative International Dictionary of English v.0.48 :

  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.
     [1913 Webster]
           The difficulty lies in drawing and disposing, or, as
           the painters term it, in grouping such a multitude of
           different objects.                       --Prior.
     [1913 Webster]
     Grouped columns (Arch.), three or more columns placed upon
        the same pedestal.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Group \Group\ (gr[=oo]p), n. [F groupe, It. gruppo, groppo,
     cluster, bunch, packet, group; of G. origin: cf. G. kropf
     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
        [1913 Webster]
     2. An assemblage of objects in a certain order or relation,
        or having some resemblance or common characteristic; as,
        groups of strata.
        [1913 Webster]
     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.
        [1913 Webster]
     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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Residue \Res"i*due\ (r?z"?-d?), n. [F. r['e]sidu, L. residuum,
     fr. residuus that is left behind, remaining, fr. residere to
     remain behind. See Reside, and cf. Residuum.]
     1. That which remains after a part is taken, separated,
        removed, or designated; remnant; remainder.
        [1913 Webster]
              The residue of them will I deliver to the sword.
                                                    --Jer. xv. 9.
        [1913 Webster]
              If church power had then prevailed over its victims,
              not a residue of English liberty would have been
              saved.                                --I. Taylor.
        [1913 Webster]
     2. (Law) That part of a testeator's estate wwhich is not
        disposed of in his will by particular and special legacies
        and devises, and which remains after payment of debts and
        [1913 Webster]
     3. (Chem.) That which remains of a molecule after the removal
        of a portion of its constituents; hence, an atom or group
        regarded as a portion of a molecule; a moiety or
        group; -- used as nearly equivalent to radical, but in
        a more general sense.
        [1913 Webster +PJC]
     Note: The term radical is sometimes restricted to groups
           containing carbon, the term residue and moiety being
           applied to the others.
           [1913 Webster]
     4. (Theory of Numbers) Any positive or negative number that
        differs from a given number by a multiple of a given
        modulus; thus, if 7 is the modulus, and 9 the given
        number, the numbers -5, 2, 16, 23, etc., are residues.
        [1913 Webster]
     Syn: Rest; remainder; remnant; balance; residuum; remains;
          leavings; relics.
          [1913 Webster]

From WordNet (r) 3.0 (2006) :

      n 1: any number of entities (members) considered as a unit [syn:
           group, grouping]
      2: (chemistry) two or more atoms bound together as a single unit
         and forming part of a molecule [syn: group, radical,
         chemical group]
      3: a set that is closed, associative, has an identity element
         and every element has an inverse [syn: group, mathematical
      v 1: arrange into a group or groups; "Can you group these shapes
      2: form a group or group together [syn: group, aggroup]

From Moby Thesaurus II by Grady Ward, 1.0 :

  387 Moby Thesaurus words for "group":
     American, Art Nouveau, Ashcan school, Barbizon, Bauhaus, Bolognese,
     British, Bund, Cobra, Dutch, Flemish, Fontainebleau, French,
     German band, Italian, Mannerist, Milanese, Modenese, Momentum,
     Neapolitan, New York, Paduan, Parisian, Phases, Philharmonic,
     Pre-Raphaelite, Raphaelite, Reflex, Restany, Rochdale cooperative,
     Roman, Scottish, Sienese, Spur, Suprematism, The Ten, Tuscan,
     Umbrian, Venetian, Washington, accumulate, accumulation, adjust,
     affiliation, age group, agglomerate, agglomeration, aggregate,
     aggregation, aggroup, alliance, alphabetize, amass, amount,
     analyze, appraise, arrange, array, art schools, assemblage,
     assemble, assembly, assess, association, assort, assortment, axis,
     band, batch, battalion, battery, bevy, big band, bloc, blood, body,
     bolt, bracket, branch, brass, brass band, brass choir,
     brass quintet, brass section, brasses, break down, brigade,
     bring together, budget, bulk, bunch, bunch together, bunch up,
     bundle, cabal, cadre, callithumpian band, camarilla, cartel, cast,
     caste, catalog, catalogue, categorize, category, cell, chain,
     chamber orchestra, charmed circle, chunk, church, circle, clan,
     class, classify, clique, closed circle, clot, club, clump, cluster,
     clutch, coalition, codify, cohort, collate, collect, collection,
     college, colligate, collocate, combination, combine, combo,
     common market, communion, community, company, compare, compile,
     complement, concert band, confederacy, confederation, congeries,
     conglomerate, conglomeration, congregation, consumer cooperative,
     contingent, cooperative, cooperative society, copse, corps, corral,
     coterie, council, count, couple, covey, credit union, crew, crop,
     crowd, cumulate, customs union, deal, denomination, desks,
     detachment, detail, dig up, digest, dispose, divide, division,
     dixieland band, dose, draw together, dredge up, drive together,
     eclectic, economic community, elite, elite group, enlarge,
     ensemble, estate, evaluate, faction, factor, federation,
     fellowship, file, fleet, free trade area, gamelan orchestra, gang,
     gather, gather in, gather together, gathering, gauge, get in,
     get together, gob, gradate, grade, graduate, grouping, groupment,
     groups, grove, guild, hassock, head, heading, heap, hunk, identify,
     in-group, index, ingroup, inner circle, jazz band, join, jug band,
     junta, junto, juxtapose, kin, knot, label, large amount, league,
     level, list, look-alikes, lot, lump together, machine, make up,
     mass, match, matching pair, measure, mess, military band, mob,
     mobilize, movement, muster, number, offshoot, orchestra, order,
     organization, organize, out-group, outfit, pack, pair, parcel,
     part, partner, partnership, party, passel, peer group, persuasion,
     phalanx, pigeonhole, pile, place, platoon, plein-air,
     political machine, pool, portion, position, posse, predicament,
     proportion, push, put together, quantity, quartet, quintet, race,
     ragtime band, raise, rake up, rally, range, rank, rate, rating,
     ration, regiment, religious order, riddle, ring,
     rock-and-roll group, round up, rubric, ruck, salon, schism, school,
     scrape together, screen, sect, sectarism, section, segment,
     separate, sept, series, set, set apart, sextet, shock, sieve, sift,
     size, skiffle band, slew, small amount, society, sort, sort out,
     squad, stable, station, status, steel band, stook, strain, stratum,
     street band, string, string band, string choir, string orchestra,
     string quartet, strings, subdivide, subdivision, subgroup,
     suborder, subordinate, suite, sum, swing band, symphony,
     symphony orchestra, tabulate, take up, team, thicket, thrash out,
     tier, title, tribe, trio, troop, troupe, trust, tuft, tussock,
     twins, type, union, unit, variety, version, waits, we-group, weigh,
     whip in, wing, winnow, wisp, woodwind, woodwind choir,
     woodwind quartet, woodwinds

From The Free On-line Dictionary of Computing (30 December 2018) :

     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.

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