summation

Meanings

• Noun

  The act or process of calculating the total or sum of a set of numbers or quantities.

  - "The summation of the numbers from 1 to 10 is 55."
  - "The summation of the weekly sales for the month was impressive."

• Noun

  A mathematical function that maps a sequence of numbers to a single number.

  - "The Fourier transform is a common summation function used in signal processing."
  - "The summation of a series can be calculated using various methods, such as the integral or recursion."

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Rhymes

Words rhyming with summation
rhythm , gymnast , ballet , mast , cast

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Variants

List of all variants of summation that leads to same result
summation , summational , summations , spatial summation , spatial summations , temporal summation , temporal summations

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin word summa, meaning 'total' or 'highest'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The summation of the first n natural numbers is given by the formula n(n+1)/2.

2. The summation of the infinite geometric series 1/2 + 1/4 + 1/8 + ... is equal to 1.

3. The summation of the first n prime numbers is always greater than n^2.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Integration: Integration and summation are related concepts in mathematics. While summation is the process of finding the sum of a sequence of numbers, integration is the inverse process of finding the area under a curve.

2. Series: A series is a sequence of numbers or terms, and the summation of a series is the sum of all the terms in that sequence.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics, summation is a fundamental concept used in various fields such as algebra, calculus, and number theory. It is often represented by the Greek letter Sigma (Σ), and the process of performing a summation is called sigma notation. Summation is also used in statistics to calculate the sum of a dataset.

How to Memorize "summation"

1. visualize
   

   - To visualize summation, imagine adding up a sequence of numbers one by one. For example, to find the sum of the numbers from 1 to 10, you can use your fingers to count each number and add them up.

2. associate
   

   - To remember the meaning of summation, you can associate it with the idea of adding things up. For example, you can imagine a grocery store where you are adding up the prices of different items to find the total cost.

3. mnemonics
   

   - To memorize the meaning of summation, you can use the mnemonic 'Sum equals Under and Over Means Adding'.

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