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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


the standard monetary unit of Uzbekistan, divided into 100 tiyin
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.



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.



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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.


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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.


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.


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).
This article is provided by FOLDOC - Free Online Dictionary of Computing (
References in periodicals archive ?
The sum total should be greater than the individual numbers that make it.
In reality, however, history is not the sum total of the events themselves but, rather, our record of those events.
The sum total of all human knowledge would be kept in a computer in a mountain in Colorado and you'd pay a cent a shot.
What this revelation does imply, though, is that in the final analysis we will be held accountable for the sum total of our lives.
The sum total of the German painter's inventive approach to subject matter, his boundless sense of humor, and his wacky self-deprecation form a composite self-portrait that functions as the default mode of his work.
Last time I looked, Gazza - or G8 as the big ninny now wants to be called - was doing the sum total of bugger-all.
The model income rate would be the sum total percentage rate generated by the above portfolio.
"It is the sum total of all the little things that create a special relationship between host and guest," according to Ron Roy, vice president of business travel and distribution for Sol Melia Hotels & Resorts, one of the world's most successful hotel groups offering 350 hotels in more than 30 countries worldwide via four brands: Melia Hotels, Tryp Hotels, Sol Hotels and Paradisus Resorts.
Should we be especially concerned with the worst off in society, or is it only the sum total of benefits and burdens we face, rather than their distribution across persons, that matters?
flag represents the sum total of all laws and actions--from the inception of the U.S.
The average citizen may acquire a reasonable awareness of the major events that are taking place around him, but the sum total of the warnings, military actions, accusations, legislation, and political posturing are thoroughly bewildering to most.