addition

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addition,

fundamental operation of arithmetic, denoted by +. In counting, a+b represents the number of items in the union of two collections having no common members (disjoint sets), having respectively a and b members. In geometry a+b might, for example, represent the area of the union of two disjoint regions of areas a and b, respectively. In arithmetic addition follows the associative lawassociative law,
in mathematics, law holding that for a given operation combining three quantities, two at a time, the initial pairing is arbitrary; e.g., using the operation of addition, the numbers 2, 3, and 4 may be combined (2+3)+4=5+4=9 or 2+(3+4)=2+7=9.
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, the commutative lawcommutative law,
in mathematics, law holding that for a given binary operation (combining two quantities) the order of the quantities is arbitrary; e.g., in addition, the numbers 2 and 5 can be combined as 2+5=7 or as 5+2=7.
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, and, in combination with multiplication, the distributive lawdistributive law.
In mathematics, given any two operations, symbolized by * and +, the first operation, *, is distributive over the second, +, if a*(b+c)=(a*b)+(a*c) for all possible choices of a, b, and c.
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. Addition is also defined for other types of mathematical objects, for example, vectorsvector,
quantity having both magnitude and direction; it may be represented by a directed line segment. Many physical quantities are vectors, e.g., force, velocity, and momentum.
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 and tensorstensor,
in mathematics, quantity that depends linearly on several vector variables and that varies covariantly with respect to some variables and contravariantly with respect to others when the coordinate axes are rotated (see Cartesian coordinates).
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. See also subtractionsubtraction,
fundamental operation of arithmetic; the inverse of addition. If a and b are real numbers (see number), then the number ab is that number (called the difference) which when added to b (the subtractor) equals a
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.

Addition

Construction that increases the size of the original structure by building outside the existing walls or roof.

Addition

 

an arithmetic operation. The result of the addition of two numbers a and b is a third number, which is called the sum of a and b and is denoted by a + b; a and b are said to be addends. Addition satisfies the commutative law: a + b = b + a. It also satisfies the associative law: (a + b) + c = a + (b + c).

The term “addition” is also applied to certain operations on other mathematical entities. For example, we may speak of addition of polynomials, addition of vectors, and addition of matrices. Operations, however, that violate the commutative and associative laws are not referred to as addition.

addition

[ə′di·shən]
(mathematics)
An operation by which two elements of a set are combined to yield a third; denoted +; usually reserved for the operation in an Abelian group or the group operation in a ring or vector space.
The combining of complex quantities in which the individual real parts and the individual imaginary parts are separately added.
The combining of vectors in a prescribed way; for example, by algebraically adding corresponding components of vectors or by forming the third side of the triangle whose other sides each represent a vector. Also known as composition.

addition

1. A floor or floors, a room, wing, or other expansion to an existing building.
2. In building code usage: Any new construction which increases the height or floor area of an existing building or adds to it (as a porch or attached garage).
3. An amount added to the contract sum by a charge order; also see extra.

addition

a mathematical operation in which the sum of two numbers or quantities is calculated. Usually indicated by the symbol +
References in classic literature ?
In addition, a large number of people must have walked, in spite of the heat of the day, from Woking and Chertsey, so that there was altogether quite a considerable crowd--one or two gaily dressed ladies among the others.
While this bankruptcy of the Circling Brothers had been the greatest financial achievement of Harris Collin's life, nevertheless he enjoyed no mean permanent income from his plant, and, in addition, split fees with the owners of his board animals when he sent them to the winter Hippodrome shows, and, more often than not, failed to split any fee at all when he rented the animals to moving-picture companies.
In addition to the usual routine of teaching, I taught the pupils to comb their hair, and to keep their hands and faces clean, as well as their clothing.
suggests topics for consideration, if general discussion is desired in addition to reading of the poems.
In addition, I had always a most earnest desire to know how to distinguish the true from the false, in order that I might be able clearly to discriminate the right path in life, and proceed in it with confidence.
I wrote to you at once and asked you to come home, for it struck me that if you were fond of historical research--as seemed a fact--this was exactly the place for you, in addition to its being the home of your own forbears.
In addition, a dozen old Sniders were in the hands of the original crowd.
And on this small deck, in addition to the crew, were the "return" niggers from three far-flung plantations.
With the suppression of the socialist publishing houses, his meagre royalties ceased, and he was hard-put to make a living; for he had to make a living in addition to all his other labor.
If, in addition to the consideration of a plurality of civil lists, we take into view the number of persons who must necessarily be employed to guard the inland communication between the different confederacies against illicit trade, and who in time will infallibly spring up out of the necessities of revenue; and if we also take into view the military establishments which it has been shown would unavoidably result from the jealousies and conflicts of the several nations into which the States would be divided, we shall clearly discover that a separation would be not less injurious to the economy, than to the tranquillity, commerce, revenue, and liberty of every part.
In addition to all their physical hardships, there was thus a constant strain upon their minds; they were harried all day and nearly all night by worry and fear.
There chanced to be on board this boat, in addition to the usual dreary crowd of passengers, one Pitchlynn, a chief of the Choctaw tribe of Indians, who SENT IN HIS CARD to me, and with whom I had the pleasure of a long conversation.