What does summation mean?

Definitions for summationsəˈmeɪ ʃən

Here are all the possible meanings and translations of the word summation.

Princeton's WordNet

  1. summation, summing up, rundown(noun)

    a concluding summary (as in presenting a case before a law court)

  2. summation(noun)

    (physiology) the process whereby multiple stimuli can produce a response (in a muscle or nerve or other part) that one stimulus alone does not produce

  3. sum, summation, sum total(noun)

    the final aggregate

    "the sum of all our troubles did not equal the misery they suffered"

  4. summation, addition, plus(noun)

    the arithmetic operation of summing; calculating the sum of two or more numbers

    "the summation of four and three gives seven"; "four plus three equals seven"


  1. summation(Noun)

    A summarization.

  2. summation(Noun)

    : An adding up of a series of items.

Webster Dictionary

  1. Summation(verb)

    the act of summing, or forming a sum, or total amount; also, an aggregate

  2. Origin: [Cf. F. sommation. See Sum, v. t.]


  1. Summation

    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 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. For finite sequences of such elements, summation always produces a well-defined sum. Summation of an infinite sequence of values is not always possible, and when a value can be given for an infinite summation, this involves more than just the addition operation, namely also the notion of a limit. Such infinite summations are known as series. Another notion involving limits of finite sums is integration. The term summation has a special meaning related to extrapolation in the context of divergent series. The summation of the sequence [1, 2, 4, 2] is an expression whose value is the sum of each of the members of the sequence. In the example, 1 + 2 + 4 + 2 = 9. Since addition is associative the value does not depend on how the additions are grouped, for instance + and 1 + both have the value 9; therefore, parentheses are usually omitted in repeated additions. Addition is also commutative, so permuting the terms of a finite sequence does not change its sum.

Chambers 20th Century Dictionary

  1. Summation

    sum-ā′shun, n. act of summing or forming a total amount: an aggregate.—adjs. Summā′tional, Summ′ative.

Suggested Resources

  1. summation

    The summation symbol -- In this Symbols.com article you will learn about the meaning of the summation symbol and its characteristic.


  1. Chaldean Numerology

    The numerical value of summation in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of summation in Pythagorean Numerology is: 8

Sample Sentences & Example Usage

  1. Philip Nel:

    It was his swan song, and he knew it was his swan song, it's a career summation in a lot of ways, both visually and morally, in the messages and the images.

  2. Mark Sektnan:

    It is hard to quantify the effect the bill has had on the safety of California roads, but the summation is that many already had insurance before they could legally get a license.

Images & Illustrations of summation

Translations for summation

From our Multilingual Translation Dictionary

Get even more translations for summation »


Find a translation for the summation definition in other languages:

Select another language:

Discuss these summation definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:     


Use the citation below to add this definition to your bibliography:


"summation." Definitions.net. STANDS4 LLC, 2017. Web. 28 Jun 2017. <http://www.definitions.net/definition/summation>.

Are we missing a good definition for summation? Don't keep it to yourself...

Nearby & related entries:

Alternative searches for summation:

Thanks for your vote! We truly appreciate your support.