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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.

See also smash sum, disjoint union.

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 ?
Concerns/Background: Closure of the Suez Canal and/or Sumed Pipeline would divert tankers around the southern tip of Africa (the Cape of Good Hope), adding greatly to transit time and effectively tying up tanker capacity.
SUMED PIPELINE The 200-mile long Sumed Pipeline, or Suez-Mediterranean Pipeline, provides an alternative to the Suez Canal for vessels and cargos too large to transit through the Canal (fully laden VLCCs and larger).
The 200-mile long Sumed Pipeline, or Suez-Mediterranean Pipeline, provides an alternative to the Suez Canal for those cargos too large to transit through the Canal (laden VLCC's and larger).
Saudi Arabia represents 49% of oil pumped through the SuMed pipeline and Iranian crude 46%.
Sumed, the operator of the 200-mile long pipelines, was studying the feasibility of reversing the direction of one of the pipelines to cater for increased shipments of crude from the Mediterranean to Asia, a Sumed source said.
Established in 1974, SUMED was founded with a $400 million in capital to own and operate two parallel pipelines linking Ain Sokhna terminal on the Red Sea to Sidi Kreir terminal on the Mediterranean.
Chairperson of the NBE board Hisham Okasha and Chairperson and CEO of SUMED, Mohamed Abdel Hafiz, signed the funding contract in the presence of the Minister of Petroleum and Mineral Resources Tarek El Mollaand the head of the Egyptian General Petroleum Corporation (EGPC) Tarek El Hadidyon Wednesday.
SUMED serves the largest oil tankers not able to navigate the Suez Canal fully loaded.
In the Mediterranean, Saudi Aramco leases crude oil storage facilities at Sidi Kerir, the terminal of the Sumed pipeline from the Gulf of Suez to the Mediterranean.