Definition: sum
Source: WordNet (r) 1.7
sum
n 1: a quantity of money; "he borrowed a large sum"; "the amount
he had in cash was insufficient" [syn: sum of money, amount,
amount of money]
2: a quantity obtained by addition [syn: amount, total]
3: the final aggregate; "the sum of all our troubles did not
equal the misery they suffered" [syn: sum total]
4: the choicest or most essential or most vital part of some
idea or experience: "the gist of the prosecutor's
argument"; "the heart and soul of the Republican Party";
"the nub of the story" [syn: kernel, substance, core,
center, essence, gist, heart, heart and soul, inwardness,
marrow, meat, nub, pith, nitty-gritty]
5: the whole amount [syn: total, totality, aggregate]
6: a set containing all and only the members of two or more
given sets; "let C be the union of the sets A and B" [syn:
union, join]
v : determine the sum of; "Add all the people in this town to
those of the neighboring town" [syn: total, tot, tot
up, sum up, summate, tote up, add, add together,
tally, add up]
Source: Webster's Revised Unabridged Dictionary (1913)
Sum \Sum\, n. [OE. summe, somme, OF. sume, some, F. somme, L. summa, fr. summus highest, a superlative from sub under. See Sub-, and cf. Supreme.] 1. The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12. Take ye the sum of all the congregation. --Num. i. 2. Note: Sum is now commonly applied to an aggregate of numbers, and number to an aggregate of persons or things. 2. A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum. ``The sum of forty pound.'' --Chaucer. With a great sum obtained I this freedom. --Acts xxii. 28. 3. The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections. 4. Height; completion; utmost degree. Thus have I told thee all my state, and brought My story to the sum of earthly bliss. --Milton. 5. (Arith.) A problem to be solved, or an example to be wrought out. --Macaulay. A sum in arithmetic wherein a flaw discovered at a particular point is ipso facto fatal to the whole. --Gladstone. A large sheet of paper . . . covered with long sums. --Dickens. Algebraic sum, as distinguished from arithmetical sum, the aggregate of two or more numbers or quantities taken with regard to their signs, as + or -, according to the rules of addition in algebra; thus, the algebraic sum of -2, 8, and -1 is 5. In sum, in short; in brief. [Obs.] ``In sum, the gospel . . . prescribes every virtue to our conduct, and forbids every sin.'' --Rogers.
Sum \Sum\, v. t. [imp. & p. p. Summed; p. pr. & vb. n. Summing.] [Cf. F. sommer, LL. summare.] 1. To bring together into one whole; to collect into one amount; to cast up, as a column of figures; to ascertain the totality of; -- usually with up. The mind doth value every moment, and then the hour doth rather sum up the moments, than divide the day. --Bacon. 2. To bring or collect into a small compass; to comprise in a few words; to condense; -- usually with up. ``Go to the ant, thou sluggard,'' in few words sums up the moral of this fable. --L'Estrange. He sums their virtues in himself alone. --Dryden. 3. (Falconry) To have (the feathers) full grown; to furnish with complete, or full-grown, plumage. But feathered soon and fledge They summed their pens [wings]. --Milton. Summing up, a compendium or abridgment; a recapitulation; a r['e]sum['e]; a summary. Syn: To cast up; collect; comprise; condense; comprehend; compute.
Source: The Free On-line Dictionary of Computing (2003-OCT-10)
sum 1. <theory> In domain theory, the sum A + B of two domains contains all elements of both domains, modified to indicate which part of the union they come from, plus a new bottom element. There are two constructor functions associated with the sum: inA : A -> A+B inB : B -> A+B inA(a) = (0,a) inB(b) = (1,b) and a disassembly operation: case d of isA(x) -> E1; isB(x) -> E2 This can be generalised to arbitrary numbers of domains. See also smash sum, disjoint union. 2.A Unix utility to calculate a 16-bit checksum of the data in a file. It also displays the size of the file, either in kilobytes or in 512-byte blocks. The checksum may differ on machines with 16-bit and 32-bit ints. Unix manual page: sum(1). (1995-03-16)
