sum

Definitions

  • WordNet 3.6
    • v sum determine the sum of "Add all the people in this town to those of the neighboring town"
    • v sum be a summary of "The abstract summarizes the main ideas in the paper"
    • n sum the whole amount
    • n sum a quantity obtained by the addition of a group of numbers
    • n sum 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"
    • n sum the final aggregate "the sum of all our troubles did not equal the misery they suffered"
    • n sum 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"
    • n sum a quantity of money "he borrowed a large sum","the amount he had in cash was insufficient"
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: If you take any number between 1 & 9 and multipy them by 9 the sum of the two numbers will always be 9 (ex: 7 X 9 = 63 ; 6 + 3 = 9)
    • Sum (Arith) A problem to be solved, or an example to be wrought out. "A sum in arithmetic wherein a flaw discovered at a particular point is ipso facto fatal to the whole.""A large sheet of paper . . . covered with long sums ."
    • Sum A quantity of money or currency; any amount, indefinitely; as, a sum of money; a small sum, or a large sum . "The sum of forty pound.""With a great sum obtained I this freedom."
    • Sum Height; completion; utmost degree. "Thus have I told thee all my state, and brought
      My story to the sum of earthly bliss."
    • Sum The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; as, the sum of 5 and 7 is 12. "Take ye the sum of all the congregation."
    • Sum The principal points or thoughts when viewed together; the amount; the substance; compendium; as, this is the sum of all the evidence in the case; this is the sum and substance of his objections.
    • Sum To bring or collect into a small compass; to comprise in a few words; to condense; -- usually with up. "“Go to the ant, thou sluggard,” in few words sums up the moral of this fable.""He sums their virtues in himself alone."
    • Sum To bring together into one whole; to collect into one amount; to cast up, as a column of figures; to ascertain the totality of; -- usually with up. "The mind doth value every moment, and then the hour doth rather sum up the moments, than divide the day."
    • Sum (Falconry) To have (the feathers) full grown; to furnish with complete, or full-grown, plumage. "But feathered soon and fledge
      They summed their pens [wings]."
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: It was the law in Scotland in 1288 that for each year known as "lepe yeare" any maiden lady could ask the man she liked to be her husband. If he refused and didn't have a good excuse he would be "mulcted of ye sum of one pound or less" (essentially, he would owe her a dollar). France enacted a similar law a year later.
    • n sum The highest point: the top; summit; completion; full amount; total; maximum.
    • n sum The whole; the principal points or thoughts when viewed together; the substance.
    • n sum The aggregate of two or more numbers, magnitudes, quantities, or particulars; the result of the process of addition: as, the sum of 5 and 7 is 12; the sum of a and b is a + b.
    • n sum Hence The whole number or quantity.
    • n sum A quantity of money or currency; an indefinite amount of money.
    • n sum An arithmetical problem to be solved, or an example of a rule to be worked out; also, such a problem worked out and the various steps shown.
    • n sum In the calculus of finite differences, a function the result of operating upon another function with the sign of summation, and expressing the addition of all successive values of that function in which the variable differs from unit to unit from zero or other constant value to one less than the value indicated; also, a special value of such a function. Thus, the sum of r is
    • n sum or, since the summation may commence at any other integral value of x, ϲ r = r / (r—1) + C, where C is an arbitrary constant or periodic function having for its period a submultiple of unity.
    • sum To combine into a total or sum; add together; ascertain the totality of: often followed by up.
    • sum To bring or collect into a small compass; condense in a few words: usually with up: as, to sum up evidence; to sum up arguments.
    • sum In falconry, to have (the feathers) full grown and in full number.
    • sum Hence To supply with full clothing.
    • sum In the calculus of finite differences, to find the general expression for the aggregate of: said of the result of adding successive values of a given function in each of which the variable is increased over the last by unity. See sum, n., 7.
    • sum To make a recapitulation; offer a brief statement of the principal points or substance: usually with up.
    • sum An obsolete spelling of some.
    • sum See -some.
    • ***
Chambers's Twentieth Century Dictionary
  • Interesting fact: There are 24 known "perfect" numbers. These are numbers that equal the sum of all its divisors except itself. For instance, six the lowest of these numbers is divisible by 1, 2, or 3 and 1+2+3=6. The largest of the known "perfect" numbers has 12,003 digits.
    • n Sum sum the amount of two or more things taken together: the whole of anything: a quantity of money: a problem in arithmetic: chief points: substance or result of reasoning: summary: height: completion
    • v.t Sum to collect into one amount or whole: to count: to bring into a few words:—pr.p. sum′ming; pa.t. and pa.p. summed
    • ***

Quotations

  • Mahatma Gandhi
    Mahatma%20Gandhi
    “A man is the sum of his actions, of what he has done, of what he can do, Nothing else.”
  • Wayne Dyer
    Wayne%20Dyer
    “Our lives are a sum total of the choices we have made.”
  • Ida P. Rolf
    Ida P. Rolf
    “An effective human being is a whole that is greater than the sum of its parts.”
  • Robert Frost
    Robert%20Frost
    “In three words I can sum up everything I've learned about life. It goes on.”
  • Alan Ayckbourn
    Alan Ayckbourn
    “Few women care to be laughed at and men not at all, except for large sums of money.”
  • Joe Batten
    Joe Batten
    “Our value is the sum of our values.”

Etymology

Webster's Revised Unabridged Dictionary
OE. summe, somme, OF. sume, some, F. somme, L. summa, fr. summus, highest, a superlative from sub, under. See Sub-, and cf. Supreme

Usage

In literature:

It will probably necessitate the expenditure of a large sum of money; that sum is at your disposal.
"The Triumphs of Eugène Valmont" by Robert Barr
The last red number is the same as that over the day column, the sum of the black numbers is 52, and the interval between the days 52.
"Aids to the Study of the Maya Codices" by Cyrus Thomas
I think sum ob is young peeple ain' no count w'ile sum ob dem ez alright.
"Slave Narratives: A Folk History of Slavery in the United States From Interviews with Former Slaves" by Work Projects Administration
This excellent man, after a tranquil and happy life, died in 1849, aged seventy, and left considerable sums to benevolent societies.
"Captains of Industry" by James Parton
Sum ob de seed fell on de ground an' de watermillion gru dar.
"The Dismal Swamp and Lake Drummond, Early recollections" by Robert Arnold
Sin it was, and its consequences were not yet summed up.
"Albert Gallatin" by John Austin Stevens
The sum of my conclusions is suggested in the title of this book.
"France and the Republic" by William Henry Hurlbert
This sum, Mr. King observed also, was nearly the sum mentioned as a minimum by Clay in his instructions to him.
"The Journal of Negro History, Volume 5, 1920" by Various
On this the English were set at liberty, and the sum was paid.
"How Britannia Came to Rule the Waves" by W.H.G. Kingston
Seventy pounds is a large sum.
"Japhet in Search of a Father" by Frederick Marryat
L5,000 was not a sufficient sum to keep up the hospitality of Government House.
"The Rise of Canada, from Barbarism to Wealth and Civilisation" by Charles Roger
They offered the sum of L2,000,000 for bringing 100,000 Prussians into the field.
"William Pitt and the Great War" by John Holland Rose
It was the quickest and most convenient way for her to earn a certain sum of money.
"The Canadian Girl at Work" by Marjory MacMurchy
I told him that I belonged to Vitalis, and that he had paid a sum of money for me, and that I must return to him the moment he wanted me.
"Nobody's Boy" by Hector Malot
Can you give sum points on the bizness, wot I culd use to advantage?
"The Bad Boy At Home And His Experiences In Trying To Become An Editor - 1885" by Walter T. Gray
Every night he counted the sum he had saved so far.
"The Goose Man" by Jacob Wassermann
Let me have that sum of five hundred pounds, and I will always take your part against the Joneses.
"The Struggles of Brown, Jones, and Robinson" by Anthony Trollope
The sum of twenty thousand dollars will fall much short of the sum necessary.
"The Diplomatic Correspondence of the American Revolution, Vol. XI" by Various
Of this sum but twenty-five cents remained.
"Ben, the Luggage Boy;" by Horatio Alger
Truly a small sum to stand between him and affluence.
"Ireland as It Is" by Robert John Buckley (AKA R.J.B.)
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In poetry:

You build the verses. Thoughts and words,
It is from you they come:
Your beauties, virtues, sing themselves.
What need for me to sum?
"Immortal Eve - IV" by Manmohan Ghose
Then I waken up from my dreams at this,
As if a voice had said,
"Now what is the sum of human bliss
When that which had life is dead?"
"The Old Ruins" by Alexander Anderson
But the Judge said he never had summed up before;
So the Snark undertook it instead,
And summed it so well that it came to far more
Than the Witnesses ever had said!
"The Hunting Of The Snark " by Lewis Carroll
Oh! by this glance, which I feel must be bright
With the heart's glow of affection for thee;
Oh! by the bliss in that sigh which took flight,
Guess what the sum of my passion must be.
"Songs" by Peter John Allan
A. God gave us Ten — it was the sum express,
That we might keep them with the strictest care,
Nor must we either of them all transgress;
Lest we shou'd die, if such a crime we dare.
"The Creed" by Rees Prichard
How precious are thy thoughts of peace,
O God! to me; how great their sum!
New every morn, they never cease;
They were, they are, and yet shall come,
In number and in compass more
Than ocean's sand, or ocean's shore.
"How precious are thy thoughts of peace" by James Montgomery

In news:

Dim sum has it all over every other kind of fast food.
When I visited Néstor Osorio, the longtime chief of the International Coffee Organization, at his group's London headquarters five years ago, Osorio told me something that perfectly summed up the harsh realities of global coffee production.
Alabama's Barrett Jones summed up the Iron Bowl's significance hours before it got really meaningful nationally.
The intersection of Main Street and the Sterling Highway has been in the news lately, along with mention of spending large sums of money to install a traffic slowing device.
It's Not a Zero-Sum Game.
A lump sum is usually preferred.
OCEAN CITY - 'This year we ride,' is the theme that aptly sums up the READ.
Three names sum up the week in Washington: Lewinsky, Reno and Starr.
The new Bo Lings on the Plaza expands Dim Sum into a weeklong affair.
"Mathnasium" sums up path to learning.
I enjoy pro football, but the preseason really sums up everything I hate about the NFL.
Henry Tuck Heen Foo Sum, Jr, died peacefully on May 17th, 2012, at Hale Makua.
Calling a play Brechtian, Beckettian or Pinteresque sums up a singular world.
The lump-sum offer is $250,000.
More employers offer workers the option to take a lump sum now rather than income for life.
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In science:

We generalize the Erd¨os-R´enyi limit theorem on the maximum of partial sums of random variables to the case when the number of terms in these sums is randomly distributed.
Stochastic version of the Erdos-Renyi limit theorem
The field theory fixes the relative weights in the sum over extended triangulations, which includes also a sum over spacetime topologies.
A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
So, the sum from Proposition 3.7. for the A∞ -bimodule M ∗ has exactly the terms of m∗ applied the the sum for the A∞ -bimodule M .
Infinity-Inner-Products on A-Infinity-Algebras
Therefore N ↓B is a homomorphic image of V ↑A↓B , a direct sum of copies of V , and so is itself such a direct sum.
Clifford correspondence for algebras
A F-linear category is semisimple if it has direct sums and subob jects and every ob ject is a finite direct sum of simple ob jects, X being simple iff End(X ) ∼= F.
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
Lemma 3.6 If C has direct sums then also Z1 (C ) has direct sums.
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
P′ means the sum over all nαi ’s sub ject to the constraint that their sum be equal to I.
Inhomogenous Poisson Networks and Random Cellular Structures
According to Lemma 7, there is a submodule U which is a direct sum of copies of P such that M /U is a direct sum of Pr¨ufer modules.
Infinite dimensional representations of canonical algebras
If the operator is a sum of terms with phases and this sum is cyclically invariant, the factor is (N w/2M w)−1/2 , with w the number of letters in each word.
Gauge theory description of compactified pp-waves
This shows that we can reduce again the double sum in (C.18) to a single σ -sum since σ ′ is fixed given each choice of σ .
Gauge theory description of compactified pp-waves
Then F (vk ) is the sum of all the constant terms, and G(vk ) is strictly larger than the sum of the amplitudes of the oscillating terms (for fixed n).
Sparse Potentials With Fractional Hausdorff Dimension
In summary, if σ2 is small, the sum of n lognormal terms is expected to behave like sums of narrowly distributed random variables, for any n.
Broad distribution effects in sums of lognormal random variables
While (5.16) still holds, (5.15) is replaced by a sum of s appropriate sums, each of those is indexed by Q ⊂ P , |Q| = s − 1.
Koszulity for nonquadratic algebras II
We say that a deterministic assignment problem is generic if no sum of a set of nonzero matrix elements is equal to the sum of a different set of nonzero elements.
A Proof of Parisi's Conjecture on the Random Assignment Problem
Then, this sum is smaller than PX,X ′ P(X ∈ F )P(X ′ ∈ F ) = (E[B3 ])2 , where the sum now runs over all the pairs X, X ′ .
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
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