## Sum

**Summation** is the operation of adding a sequence of numbers; the result is their **sum** or *total*. If numbers are added sequentially from left to right, any intermediate result is a partial sum, prefix sum, or running total of the summation. The numbers to be summed (called addends, or sometimes summands) may be integers, rational numbers, real numbers, or complex numbers. Besides numbers, other types of values can be added as well: vectors, matrices, polynomials and, in general, elements of any additive group (or even monoid). For finite sequences of such elements, summation always produces a well-defined sum (possibly by virtue of the convention for empty sums).

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### Some articles on sum:

... To show the second equality, distribute the product over the

**sum**in the result, every product of primes appears exactly once, so by the fundamental theorem of arithmetic, the

**sum**is equal to the ... The

**sum**on the right is the harmonic series, which diverges ...

**Sum**Of Squares

... In statistics, the residual

**sum**of squares (RSS) is the

**sum**of squares of residuals ... It is also known as the

**sum**of squared residuals (SSR) or the

**sum**of squared errors of prediction (SSE) ... In general, total

**sum**of squares = explained

**sum**of squares + residual

**sum**of squares ...

... A classic example of Jensen's device is a procedure that computes the

**sum**of a series, real procedure

**Sum**(k, l, u, ak) value l, u integer k, l, u real ... to compute the first 100 terms of a real array V would be

**Sum**(i, 1, 100, V) ... During the execution of

**Sum**, the actual argument i will increment during each step of the for loop, and each of the procedure's evaluations of ak will use the current value of i to access the ...

**sum**

... resistant hash function even if the hash

**sum**file is not tampered with, it is computationally trivial for an attacker to cause deliberate hash collisions, meaning ...

... if and, for every i from 2 to k, where denotes the

**sum**of the divisors of x ... in order to be able to represent as a

**sum**of divisors of n ... the factorization of n satisfies the condition above, then any can be represented as a

**sum**of divisors of n, by the following sequence of steps Let, and let ...

### More definitions of "sum":

- (
*noun*): The final aggregate.

Example:*"The sum of all our troubles did not equal the misery they suffered"*

Synonyms: summation, sum total

- (
*verb*): Determine the sum of.

Synonyms: total, tot, tot up, sum up, summate, tote up, add, add together, tally, add up

- (
*noun*): The basic unit of money in Uzbekistan.

- (
*noun*): The choicest or most essential or most vital part of some idea or experience.

Synonyms: kernel, substance, core, center, essence, gist, heart, heart and soul, inwardness, marrow, meat, nub, pith, nitty-gritty

- (
*noun*): A quantity of money.

Example:*"He borrowed a large sum"*

Synonyms: sum of money, amount, amount of money

### Famous quotes containing the word sum:

“The history of literature—take the net result of Tiraboshi, Warton, or Schlegel,—is a *sum* of a very few ideas, and of very few original tales,—all the rest being variation of these.”

—Ralph Waldo Emerson (1803–1882)

“Lest darkness fall and time fall

In a long night when learned arteries

Mounting the ice and *sum* of barbarous time

Shall yield, without essence, perfect accident.

We are the eyelids of defeated caves.”

—Allen Tate (1899–1979)

“No, the five hundred was the *sum* they named

To pay the doctor’s bill and tide me over.

It’s that or fight, and I don’t want to fight

I just want to get settled in my life....”

—Robert Frost (1874–1963)