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3 definitions found
 for abundant number
From The Collaborative International Dictionary of English v.0.48 :

  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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  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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From The Collaborative International Dictionary of English v.0.48 :

  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.
     [1913 Webster]
  
     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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