Dictionary Definition
sum
Noun
1 a quantity of money; "he borrowed a large sum";
"the amount he had in cash was insufficient" [syn: sum of
money, amount,
amount of
money]
3 the final aggregate; "the sum of all our
troubles did not equal the misery they suffered" [syn: summation, sum
total]
4 the choicest or most essential or most vital
part of some idea or experience; "the gist of the prosecutor's
argument"; "the heart and soul of the Republican Party"; "the nub
of the story" [syn: kernel, substance, core, center, essence, gist, heart, heart and
soul, inwardness,
marrow, meat, nub, pith, nittygritty]
6 the basic unit of money in Uzbekistan
7 a set containing all and only the members of
two or more given sets; "let C be the union of the sets A and B"
[syn: union, join]
Verb
1 be a summary of; "The abstract summarizes the
main ideas in the paper" [syn: summarize, summarise, sum up]
2 determine the sum of; "Add all the people in
this town to those of the neighboring town" [syn: total, tot, tot up, sum up, summate, tote up, add, add
together, tally,
add up]
[also: summing, summed]
User Contributed Dictionary
English
Pronunciation
 sŭm, /sʌm/, /sVm/
 Rhymes: ʌm
Homophones
Noun
 A quantity obtained by addition or aggregation.
 The sum of 3 and 4 is 7.
 An arithmetic computation, especially one posed to a student as an exercise (not necessarily limited to addition.)
 A quantity of money.
 A summary.
 A central idea or point.
 The utmost degree.
 An old English measure of corn equal to the quarter.
 1882, The sum is also used for the quarter, and the strike for the bushel. — James Edwin Thorold Rogers, A History of Agriculture and Prices in England, Volume 4, p. 207.
Synonyms
 (quantity obtained by addition or aggregation): amount, sum total, summation, total, totality
 (arithmetic computation): calculation, computation
 (quantity of money): amount, quantity of money, sum of money
 (summary): See summary
 (central idea or point): center/centre, core, essence, gist, heart, heart and soul, inwardness, kernel, marrow, meat, nub, nittygritty, pith substance
 (utmost degree): See summit
 (obsolete: old English measure of corn): quarter
Derived terms
Translations
quantity obtained by addition or aggregation
arithmetic problem
 Dutch: rekensom , som
 Finnish: laskutehtävä
 French: calcul
 Italian: somma
 Swedish: matematikexempel , matematikuppgift , räkneuppgift
quantity of money
 Dutch: som
 Finnish: summa
 German: Summe
 Italian: somma
 Spanish: cantidad
 Swedish: belopp, summa
summary
 See summary
central idea or point
 Swedish: kontenta, kärna
utmost degree
 See summit
obsolete: old English measure of corn
Verb
Synonyms
Translations
to add together
 Dutch: optellen, bijeentellen
 Finnish: summata, ynnätä (old), laskea yhteen
 French: additionner
 German: summieren
 Greek: αθροίζω
 Italian: sommare
 Portuguese: somar
 Swedish: addera, summera
to give a summary of
 See summarize
Etymology 2
 From Uzbek.
Noun
sum the basic unit of money in Kyrgyzstan.
 the basic unit of money in Uzbekistan.
Translations
basic unit of money in Kyrgyzstan
 Swedish: som
basic unit of money in Uzbekistan
 Swedish: som
Faroese
Conjunction
sumParticle
sum (relative particle)Synonyms
Icelandic
Korean
Noun
sum breath
 (joke) 숨 에ㄹ고 숨 (sum ergo sum) Breath therefore I am.
Latin
Etymology
Cognates include Ancient Greek sc=polytonic, Sanskrit sc=Deva, Old English eom (English am).Pronunciation
/sʊ̃m/Verb
present active I am, I exist
 René
Descartes
 Cogito, ergo sum.

 I think, therefore I am.
 Sum sine regno

 I am without a kingdom.
 Sic sum ut vides.

 Thus I am as you see.
 Dixit duas res ei rubori fuisse.

 He said that two things had abashed him.
 René
Descartes
Conjugation
Irregular conjugation.Participles
Infinitives
Derived terms
Descendants
Old English
Pronoun
sumPolish
Pronunciation
 /sum/
Noun
Shabo
Verb
sumExtensive Definition
 For evaluation of sums in closed form see evaluating sums.
 Summation is also a term used to describe a process in synapse biology.
Summation is the addition of a set of numbers;
the result is their sum or total. The "numbers" to be summed may be
natural
numbers, complex
numbers, matrices,
or still more complicated objects. An infinite sum is a subtle
procedure known as a series.
Note that the term summation has a special meaning in the context
of divergent
series related to extrapolation.
Notation
The summation of 1, 2, and 4 is 1 + 2 + 4 = 7. The sum is 7. Since addition is associative, it does not matter whether we interpret "1 + 2 + 4" as (1 + 2) + 4 or as 1 + (2 + 4); the result is the same, so parentheses are usually omitted in a sum. Finite addition is also commutative, so the order in which the numbers are written does not affect its sum. (For issues with infinite summation, see absolute convergence.)If a sum has too many terms to be written out
individually, the sum may be written with an ellipsis to mark out the
missing terms. Thus, the sum of all the natural
numbers from 1 to 100 is 1 + 2 + … + 99 + 100 =
5050.
Capitalsigma notation
Mathematical notation has a special representation for compactly representing summation of many similar terms: the summation symbol, a large upright capital Sigma. This is defined thus: \sum_^n x_i = x_m + x_ + x_ +\cdots+ x_ + x_n.
The subscript gives the symbol for an index
variable, i. Here, i represents the index of summation; m is
the lower bound of summation, and n is the upper bound of
summation. Here i = m under the summation symbol means that the
index i starts out equal to m. Successive values of i are found by
adding 1 to the previous value of i, stopping when i = n. We could
as well have used k instead of i, as in
 \sum_^6 k^2 = 2^2+3^2+4^2+5^2+6^2 = 90.
Informal writing sometimes omits the definition
of the index and bounds of summation when these are clear from
context, as in
 \sum x_i^2
 \sum_^n x_i^2.
One often sees generalizations of this notation
in which an arbitrary logical condition is supplied, and the sum is
intended to be taken over all values satisfying the condition. For
example:
 \sum_
Synonyms, Antonyms and Related Words
account, add, add up, addend, affective meaning,
aggregate, all, amount, amount of money, amplitude, batch, beall and endall,
bearing, body, box score, budget, bulk, bunch, cast, cast up, chunk, cipher up, clutch, coloring, compute, condense, connotation, consequence, core, count, count up, deal, denotation, detail, difference, digest, dose, drift, effect, entirety, entity, epitome, essence, extension, extent, figure, figure up, foot, foot up, force, gist, gob, grammatical meaning, grand
total, gross, gross
amount, group, heap, hunk, idea, impact, implication, import, integral, integrate, intension, inventory, itemize, large amount, lexical
meaning, literal meaning, lot, lump sum, magnitude, main point,
mass, matter, meaning, measure, measurement, meat, mess, number, numbers, nutshell, overtone, pack, parcel, part, pertinence, pith, plus, plus sign, point, portion, practical consequence,
product, purport, quantity, quantum, range of meaning,
ration, real meaning,
recap, recapitulate, recapitulation, recite, reckon up, reckoning, recount, reference, referent, rehearse, relate, relation, relevance, resume, round sum, runthrough,
rundown, scope, score, score up, semantic cluster,
semantic field, sense,
significance,
signification,
significatum,
signifie, small amount,
span of meaning, spirit,
strength, structural
meaning, structure,
substance, subtotal, sum and substance,
sum total, sum up, summarize, summary, summate, summation, summingup,
symbolic meaning, synopsize, system, tale, tally, tally up, tenor, the amount, the bottom
line, the story, the whole story, tot, tot up, total, total up, totality, totality of
associations, tote, tote
up, transferred meaning, unadorned meaning, undertone, value, whole, whole amount, x
number