sum (redirected from summing up)

sum¹

1. 

a. the result of the addition of numbers, quantities, objects, etc.

b. the cardinality of the union of disjoint sets whose cardinalities are the given numbers

2. one or more columns or rows of numbers to be added, subtracted, multiplied, or divided

3. Maths the limit of a series of sums of the first n terms of a converging infinite series as n tends to infinity

4. another name for number work

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sum²

the standard monetary unit of Uzbekistan, divided into 100 tiyin

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sum [səm]

(mathematics)

The addition of numbers or mathematical objects in context.

The sum of an infinite series is the limit of the sequence consisting of all partial sums of the series.

The sumA+Bof two matricesAandB, with the same number of rows and columns, is the matrix whose elementc_ijin rowiand columnjis the sum of corresponding elementsa_ijinAandb_ijinB.

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1.	(theory)	sum - In domain theory, the sum A + B of two domains contains all elements of both domains, modified to indicate which part of the union they come from, plus a new bottom element. There are two constructor functions associated with the sum: inA : A -> A+B inB : B -> A+B inA(a) = (0,a) inB(b) = (1,b) and a disassembly operation: case d of isA This can be generalised to arbitrary numbers of domains. See also smash sum, disjoint union.
2.	(tool)	sum - A Unix utility to calculate a 16-bit checksum of the data in a file. It also displays the size of the file, either in kilobytes or in 512-byte blocks. The checksum may differ on machines with 16-bit and 32-bit ints. Unix manual page: sum(1).