abundant number
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. [1913 Webster]

Something he left imperfect in the state. --Shak. [1913 Webster]

Why, then, your other senses grow imperfect. --Shak. [1913 Webster]

2. Wanting in some elementary organ that is essential to successful or normal activity. [1913 Webster]

He . . . stammered like a child, or an amazed, imperfect person. --Jer. Taylor. [1913 Webster]

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. [1913 Webster]

Nothing imperfect or deficient left Of all that he created. --Milton. [1913 Webster]

Then say not man's imperfect, Heaven in fault; Say rather, man's as perfect as he ought. --Pope. [1913 Webster]

{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. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Abundant number — 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.… …   The Collaborative International Dictionary of English

  • 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… …   The Collaborative International Dictionary of English

  • Abundant number — In mathematics, an abundant number or excessive number is a number n for which σ ( n ) > 2 n . Here σ ( n ) is the sum of divisors function: the sum of all positive divisors of n , including n itself. The value σ ( n ) − 2 n is called the… …   Wikipedia

  • abundant number — noun : an imperfect number that is less than the sum of all its divisors (as 12) * * * Math. a positive number that is less than the sum of all positive integers that are submultiples of it, as 12, which is less than the sum of 1, 2, 3, 4, and 6 …   Useful english dictionary

  • abundant number — noun A number that is less than the sum of all of its divisors except itself. The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30, and 1 + 2 + 3 + 5 + 6 + 10 + 15 = 42, which is greater than 30, so 30 is an abundant number. Syn: excessive number …   Wiktionary

  • abundant number — Math. a positive number that is less than the sum of all positive integers that are submultiples of it, as 12, which is less than the sum of 1, 2, 3, 4, and 6. Cf. deficient number, perfect number. * * * …   Universalium

  • Colossally abundant number — In mathematics, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in some rigorous sense, has a lot of divisors. Formally, a number n is colossally abundant if and only if there is an ε > 0 such… …   Wikipedia

  • Highly abundant number — In mathematics, a highly abundant number is a natural number where the sum of its divisors (including itself) is greater than the sum of the divisors of any natural number less than it.Highly abundant numbers and several similar classes of… …   Wikipedia

  • 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… …   The Collaborative International Dictionary of English

  • 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 …   The Collaborative International Dictionary of English

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