Abundant number

Number \Num"ber\ (n[u^]m"b[~e]r), n. [OE. nombre, F. nombre, L.
   numerus; akin to Gr. no`mos that which is dealt out, fr.
   ne`mein to deal out, distribute. See {Numb}, {Nomad}, and cf.
   {Numerate}, {Numero}, {Numerous}.]
   1. That which admits of being counted or reckoned; a unit, or
      an aggregate of units; a numerable aggregate or collection
      of individuals; an assemblage made up of distinct things
      expressible by figures.
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   2. A collection of many individuals; a numerous assemblage; a
      multitude; many.
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            Ladies are always of great use to the party they
            espouse, and never fail to win over numbers.
                                                  --Addison.
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   3. A numeral; a word or character denoting a number; as, to
      put a number on a door.
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   4. Numerousness; multitude.
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            Number itself importeth not much in armies where the
            people are of weak courage.           --Bacon.
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   5. The state or quality of being numerable or countable.
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            Of whom came nations, tribes, people, and kindreds
            out of number.                        --2 Esdras
                                                  iii. 7.
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   6. Quantity, regarded as made up of an aggregate of separate
      things.
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   7. That which is regulated by count; poetic measure, as
      divisions of time or number of syllables; hence, poetry,
      verse; -- chiefly used in the plural.
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            I lisped in numbers, for the numbers came. --Pope.
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   8. (Gram.) The distinction of objects, as one, or more than
      one (in some languages, as one, or two, or more than two),
      expressed (usually) by a difference in the form of a word;
      thus, the singular number and the plural number are the
      names of the forms of a word indicating the objects
      denoted or referred to by the word as one, or as more than
      one.
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   9. (Math.) The measure of the relation between quantities or
      things of the same kind; that abstract species of quantity
      which is capable of being expressed by figures; numerical
      value.
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   {Abstract number}, {Abundant number}, {Cardinal number}, etc.
      See under {Abstract}, {Abundant}, etc.

   {In numbers}, in numbered parts; as, a book published in
      numbers.
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Imperfect \Im*per"fect\, a. [L. imperfectus: pref. im- not +
   perfectus perfect: cf. F imparfait, whence OE. imparfit. See
   {Perfect}.]
   1. Not perfect; not complete in all its parts; wanting a
      part; deective; deficient.
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            Something he left imperfect in the state. --Shak.
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            Why, then, your other senses grow imperfect. --Shak.
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   2. Wanting in some elementary organ that is essential to
      successful or normal activity.
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            He . . . stammered like a child, or an amazed,
            imperfect person.                     --Jer. Taylor.
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   3. Not fulfilling its design; not realizing an ideal; not
      conformed to a standard or rule; not satisfying the taste
      or conscience; esthetically or morally defective.
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            Nothing imperfect or deficient left
            Of all that he created.               --Milton.
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            Then say not man's imperfect, Heaven in fault;
            Say rather, man's as perfect as he ought. --Pope.
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   {Imperfect arch}, an arch of less than a semicircle; a skew
      arch.

   {Imperfect cadence} (Mus.), one not ending with the tonic,
      but with the dominant or some other chord; one not giving
      complete rest; a half close.

   {Imperfect consonances} (Mus.), chords like the third and
      sixth, whose ratios are less simple than those of the
      fifth and forth.

   {Imperfect flower} (Bot.), a flower wanting either stamens or
      pistils. --Gray.

   {Imperfect interval} (Mus.), one a semitone less than
      perfect; as, an imperfect fifth.

   {Imperfect number} (Math.), a number either greater or less
      than the sum of its several divisors; in the former case,
      it is called also a {defective number}; in the latter, an
      {abundant number}.

   {Imperfect obligations} (Law), obligations as of charity or
      gratitude, which cannot be enforced by law.

   {Imperfect power} (Math.), a number which can not be produced
      by taking any whole number or vulgar fraction, as a
      factor, the number of times indicated by the power; thus,
      9 is a perfect square, but an imperfect cube.

   {Imperfect tense} (Gram.), a tense expressing past time and
      incomplete action.
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Abundant \A*bun"dant\, a. [OE. (h)abundant, aboundant, F.
   abondant, fr. L. abudans, p. pr. of abundare. See {Abound}.]
   Fully sufficient; plentiful; in copious supply; -- followed
   by in, rarely by with. "Abundant in goodness and truth."
   --Exod. xxxiv. 6.
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   {Abundant number} (Math.), a number, the sum of whose aliquot
      parts exceeds the number itself. Thus, 1, 2, 3, 4, 6, the
      aliquot parts of 12, make the number 16. This is opposed
      to a {deficient} number, as 14, whose aliquot parts are 1,
      2, 7, the sum of which is 10; and to a {perfect} number,
      which is equal to the sum of its aliquot parts, as 6,
      whose aliquot parts are 1, 2., 3.
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   Syn: Ample; plentiful; copious; plenteous; exuberant;
        overflowing; rich; teeming; profuse; bountiful; liberal.
        See {Ample}.
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