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Found 1 items, similar to Algebraic sum.

**English → English** (gcide)
Definition: Algebraic sum
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.
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Take ye the sum of all the congregation. --Num. i.
2.
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Note: Sum is now commonly applied to an aggregate of numbers,
and number to an aggregate of persons or things.
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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.
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With a great sum obtained I this freedom. --Acts
xxii. 28.
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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.
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4. Height; completion; utmost degree.
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Thus have I told thee all my state, and brought
My story to the sum of earthly bliss. --Milton.
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5. (Arith.) A problem to be solved, or an example to be
wrought out. --Macaulay.
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A sum in arithmetic wherein a flaw discovered at a
particular point is ipso facto fatal to the whole.
--Gladstone.
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A large sheet of paper . . . covered with long sums.
--Dickens.
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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.
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