Search Result for "abundant number":

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. [1913 Webster] 2. A collection of many individuals; a numerous assemblage; a multitude; many. [1913 Webster] Ladies are always of great use to the party they espouse, and never fail to win over numbers. --Addison. [1913 Webster] 3. A numeral; a word or character denoting a number; as, to put a number on a door. [1913 Webster] 4. Numerousness; multitude. [1913 Webster] Number itself importeth not much in armies where the people are of weak courage. --Bacon. [1913 Webster] 5. The state or quality of being numerable or countable. [1913 Webster] Of whom came nations, tribes, people, and kindreds out of number. --2 Esdras iii. 7. [1913 Webster] 6. Quantity, regarded as made up of an aggregate of separate things. [1913 Webster] 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. [1913 Webster] I lisped in numbers, for the numbers came. --Pope. [1913 Webster] 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. [1913 Webster] 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. [1913 Webster] 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]
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. [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 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. [1913 Webster] Syn: Ample; plentiful; copious; plenteous; exuberant; overflowing; rich; teeming; profuse; bountiful; liberal. See Ample. [1913 Webster]