Definitions for summation
səˈmeɪ ʃənsum·ma·tion

Princeton's WordNetRate this definition:5.0 / 1 vote

1. summation, summing up, rundownnoun

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

2. summationnoun

   (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 totalnoun

   the final aggregate

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

4. summation, addition, plusnoun

   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"

WiktionaryRate this definition:0.0 / 0 votes

1. summationnoun

   A summarization.

2. summationnoun

   An adding up of a series of items.

WikipediaRate this definition:0.0 / 0 votes

1. Summation

   In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined. Summations of infinite sequences are called series. They involve the concept of limit, and are not considered in this article. The summation of an explicit sequence is denoted as a succession of additions. For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative, there is no need of parentheses, and the result is the same irrespective of the order of the summands. Summation of a sequence of only one element results in this element itself. Summation of an empty sequence (a sequence with no elements), by convention, results in 0. Very often, the elements of a sequence are defined, through a regular pattern, as a function of their place in the sequence. For simple patterns, summation of long sequences may be represented with most summands replaced by ellipses. For example, summation of the first 100 natural numbers may be written as 1 + 2 + 3 + 4 + ⋯ + 99 + 100. Otherwise, summation is denoted by using Σ notation, where ∑ {\textstyle \sum } is an enlarged capital Greek letter sigma. For example, the sum of the first n natural numbers can be denoted as ∑ i = 1 n i . {\textstyle \sum _{i=1}^{n}i.} For long summations, and summations of variable length (defined with ellipses or Σ notation), it is a common problem to find closed-form expressions for the result. For example, ∑ i = 1 n i = n ( n + 1 ) 2 . {\displaystyle \sum _{i=1}^{n}i={\frac {n(n+1)}{2}}.} Although such formulas do not always exist, many summation formulas have been discovered—with some of the most common and elementary ones being listed in the remainder of this article.

ChatGPTRate this definition:0.0 / 0 votes

1. summation

   Summation, in mathematics, refers to the process of adding a sequence of numbers or quantities together. This is often represented by the Greek capital letter sigma (Σ) followed by an expression, which specifies the numbers to be added. The numbers in the series can be finite or infinite, and are referred to as the terms of the series. The result obtained by adding all these terms is called the sum or total. This method is commonly used in areas like statistics, calculus and problem solving.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Summationverb

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

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

WikidataRate this definition:0.0 / 0 votes

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 DictionaryRate this definition:0.0 / 0 votes

1. Summation

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

Suggested ResourcesRate this definition:0.0 / 0 votes

1. summation

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

Matched Categories

1. • Organic Process
   • Physiology

Usage in printed sourcesFrom: 

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How to pronounce summation?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say summation in sign language?

Numerology

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

Examples of summation in a Sentence

1. Hunter Biden:

   The 2,000-word summation of a 30-minute phone call released by White House makes clear that days after the President ordered the delay of Congressionally-appropriated military assistance to Ukraine, he implored the President of Ukraine to work with his personal attorney to manufacture a smear against a domestic political opponent, using a malicious conspiracy theory that has been universally debunked by every independent outlet that has looked at it.

2. 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.

3. 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.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=summation
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Summation
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Summation
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/summation
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=summation
7. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=summation
8. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=summation