## 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:

... 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 ak comment k and ak are passed by name begin real s s ... For example, code 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 successive ...

**sum**

... authenticity of files, as CRC32 is not a collision resistant hash function even if the hash

**sum**file is not tampered with, it is computationally trivial for ...

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

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

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

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

... 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

**sum**over all integers ... 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 ...

### More definitions of "sum":

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

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

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

- (
*noun*): The final aggregate.

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

Synonyms: summation, sum total

- (
*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:

“And what is the potential man, after all? Is he not the *sum* of all that is human? Divine, in other words?”

—Henry Miller (1891–1980)

“To die proudly when it is no longer possible to live proudly. Death freely chosen, death at the right time, brightly and cheerfully accomplished amid children and witnesses: then a real farewell is still possible, as the one who is taking leave is still there; also a real estimate of what one has wished, drawing the *sum* of one’s life—all in opposition to the wretched and revolting comedy that Christianity has made of the hour of death.”

—Friedrich Nietzsche (1844–1900)

“Genius is no more than childhood recaptured at will, childhood equipped now with man’s physical means to express itself, and with the analytical mind that enables it to bring order into the *sum* of experience, involuntarily amassed.”

—Charles Baudelaire (1821–1867)