Definitions for: Sum


[n] the whole amount
[n] a quantity obtained by addition
[n] 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"
[n] 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"
[n] the final aggregate; "the sum of all our troubles did not equal the misery they suffered"
[n] a quantity of money; "he borrowed a large sum"; "the amount he had in cash was insufficient"
[v] determine the sum of; "Add all the people in this town to those of the neighboring town"
[v] be a summary of; "The abstract summarizes the main ideas in the paper"



Webster (1913) Definition: 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, 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.


inA : A -> A+B inB : B -> A+B
inA(a) = (0,a) inB(b) = (1,b)

Synonyms: add, add together, add up, aggregate, amount, amount, amount of money, center, core, essence, gist, heart, heart and soul, inwardness, join, kernel, marrow, meat, nitty-gritty, nub, pith, substance, sum of money, sum total, sum up, sum up, summarise, summarize, summate, summation, tally, tot, tot up, total, total, total, totality, tote up, union

See Also: accumulation, advance, aggregate, aggregation, assemblage, assets, cash advance, cognitive content, collection, congeries, conglomeration, content, contribution, count, deductible, defalcation, direct sum, enumerate, figure, gain, haecceity, hypostasis, loss, mental object, number, numerate, payroll, paysheet, polynomial, purse, quantity, quiddity, quintessence, say, set, state, stuff, tell, unit, whole, whole thing

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