Definition of Algebraic sum. Meaning of Algebraic sum. Synonyms of Algebraic sum
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Definition of Algebraic sum
Algebraic sumSum 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.
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
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.
A large sheet of paper . . . covered with long sums.
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.
Meaning of Algebraic sum from wikipedia
or summands; the result
is their sum
or total. Besides
numbers, other types
can be summed
as well: functions, vectors, matrices, polynomials...
- used to form the direct sum
of any two algebraic
structures, such as rings, modules, and vector
spaces. We can also form direct sums
with any finite
- In abstract algebra
, the direct sum
is a construction which combines several modules
into a new, larger
module. The direct sum
is the smallest...
to any subject related
and related branches
like algebraic number theory
topology. The word...
- theory, an algebraic
data type is a kind of composite
type, i.e., a type formed
by combining other
types. Two common
cl****es of algebraic types
- In algebra
, an algebraic fraction
is a fraction whose numerator
expressions. Two examples
of algebraic fractions
are 3 x...
- theory Direct sum
, a combination
of algebraic objects Direct sum
of groups Direct sum
of modules Direct sum
of permutations Direct sum
of two concurrent forces about
to the algebraic sum
of the torques
of its components about
the same point. In other
- is algebraic
if and only if both a and b are algebraic
. The sum
, difference, product
(if the denominator
is nonzero) of two algebraic
- bilateral linear circuit having
more than one independent source equals
the algebraic sum
of the responses caused
by each independent source acting
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