Definition of Algebraic sum. Meaning of Algebraic sum. Synonyms of Algebraic sum

Here you will find one or more explanations in English for the word Algebraic sum. Also in the bottom left of the page several parts of wikipedia pages related to the word Algebraic sum and, of course, Algebraic sum synonyms and on the right images related to the word Algebraic sum.

Definition of Algebraic sum

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. 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.

Meaning of Algebraic sum from wikipedia

- addends or summands; the result is their sum or total. Besides numbers, other types of values 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 number...
- In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module. The direct sum of modules is the smallest...
- Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic 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 are product...
- In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic 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 topological...
- resultant of two concurrent forces about any point is equal to the algebraic sum of the torques of its components about the same point. In other words...
- is algebraic if and only if both a and b are algebraic. The sum, difference, product and quotient (if the denominator is nonzero) of two algebraic numbers...
- bilateral linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, where...
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