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Addition is commutative, meaning that one can change the order of the terms in a sum, but still get the same result. Symbolically, if a and b are any two numbers, then a + b = b + a. The fact that addition is commutative is known as the "commutative law of addition" or "commutative property of addition".
Example of addition with carry. The black numbers are the addends, the green number is the carry, and the blue number is the sum. In the rightmost digit, the addition of 9 and 7 is 16, carrying 1 into the next pair of the digit to the left, making its addition 1 + 5 + 2 = 8. Therefore, 59 + 27 = 86.
This article lists songs of the C vs D "mash-up" genre that are commercially available (as opposed to amateur bootlegs and remixes).As a rule, they combine the vocals of the first "component" song with the instrumental (plus additional vocals, on occasion) from the second.
During the addition, each carry is "signaled" rather than performed, and during the carry cycle, the machine increments the digits above the "triggered" digits. This operation has to be performed sequentially, starting with the ones digit, then the tens, the hundreds, and so on, since adding the carry can generate a new carry in the next digit.
An equivalent, and more succinct, definition is: a field has two commutative operations, called addition and multiplication; it is a group under addition with 0 as the additive identity; the nonzero elements form a group under multiplication with 1 as the multiplicative identity; and multiplication distributes over addition.
A mashup (also mesh, mash up, mash-up, blend, bastard pop [1] or bootleg [2]) is a creative work, usually a song, created by blending two or more pre-recorded songs, typically by superimposing the vocal track of one song seamlessly over the instrumental track of another and changing the tempo and key where necessary. [3]
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