# sum

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Related to sums: Cross sums

## sum

1
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

## sum

2
the standard monetary unit of Uzbekistan, divided into 100 tiyin

## Sum’

the name used in Russian chronicles to refer to the Balto-Finnish Suomi tribe, which settled on the southwest coast of Finland early in the first millennium A.D. After subjugating the Sum’ in the mid-12th century, the Swedish feudal lords began the conquest of Finland. Subsequently, the Sum’, Häme, and western Karelian tribes combined to form the Finnish nationality.

## Sum

the result of the addition of such quantities as numbers, functions, vectors, or matrices. In all cases the commutative and associative laws hold; moreover, if multiplication is defined for the quantities in question, then it is distributive over addition. Thus, the following relations are satisfied:

a + b = b + a

a + (b + c) = (a + b) + c

(a + b)c = ac + bc

c(a + b) = ca + cb

In set theory, the sum, or union, of sets is the set whose elements belong to at least one of the given sets.

## 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 sum A + B of two matrices A and B, with the same number of rows and columns, is the matrix whose element cij in row i and column j is the sum of corresponding elements aij in A and bij in B.

## sum

(theory)
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.

## sum

(tool)
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).
References in periodicals archive ?
Oguneye, while serving as the Secretary to the Nigeria Law Reform Commission conferred a corrupt advantage upon herself by using her office to derive various unlawful pecuniary benefits for herself to the tune of the above sum.
Asked why they did not itemize the lump sum funds before Congress ratified the expenditure plan, Senior Deputy Majority Leader Rodante Marcoleta earlier said: 'Marami nga kami.'
To develop the material and technical base of 48 higher educational institutions, it is envisaged to allocate 559.1 billion sums, or 1.5 times more than in 2017.
With monsoons doing its magic this season, we thought it was the perfect time to introduce a festival celebrating dim - sums. We have played with our offerings to appease a variety of preferences and design an interesting palate of 40 dim sums."
For each chemical element, calculate the sum of the 1 or 2 letter values forming its symbol.
"So plan sponsors were viewing the retiree lump sums as a way to de-risk fairly significant blocks of liabilities," he said.
The price per 1 liter of vodka and other alcoholic beverages will be increased from 7,800 to 9,000 sums (\$2.3 - \$2.6), while the minimum retail price - 10,900 sums (\$3.2).
But research shows if you shift the perspective of retirement investors from thinking "lump sum" to thinking "monthly payout," you have a better chance at selling that annuity--with two important caveats.
A standard prostate biopsy template includes at least 10 biopsy cores and pathologists use updated criteria for tumour grade assignment.[sup.3]-[sup.5] In contradistinction to the prostatectomy Gleason sum, the biopsy Gleason sum is defined as the most common Gleason grade added to the highest Gleason grade observed.
A permutation is separable if it can be generated from the permutation 1 by successive sums and skew sums.
Forty-three-year-old Emirati manager of the exchange company branches in the Dubai and Northern Emirates told the prosecutor that they had special procedures for transferring of huge sums of money.
Despite having to live cautiously and with concerns over pension amounts not being sufficient, the majority, 79%, drawing a company or private pension in 2011, took a 25% tax free lump sum.

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