codomain

Meanings

• noun

  In mathematics, the codomain of a function is the set into which the function maps or can potentially map its inputs.

  - "The codomain of the function f(x) = x^2 is the set of all real numbers."
  - "The codomain of the function g(x) = sin(x) is the set of all real numbers between -1 and 1."

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Pronunciation

1. /ˌkoʊ.doʊˈmeɪn/
   
   
   
   Source: "https://commons.wikimedia.org/w/index.php?curid=60302269"

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Antonyms

domain

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Synonyms

range

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Variants

List of all variants of codomain that leads to same result
codominant , codominants

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Etymology

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

The term 'codomain' comes from the Latin word 'dominus' meaning 'master' or 'lord', and in mathematics, it refers to the set that a function 'maps to' or 'domains over'.

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Trivia

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1. The term 'codomain' was first introduced in mathematics in the late 19th century.

2. The concept of a codomain is closely related to the idea of a function being surjective, which means that every element in the codomain is the image of some element in the domain.

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Related Concepts

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1. domain: The domain of a function is the set of all possible inputs that the function can accept.

2. range: The range of a function is the set of all possible outputs that the function can produce.

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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.

The concept of a codomain is fundamental in mathematics, particularly in the study of functions and their behavior. It is used extensively in various fields of mathematics such as algebra, calculus, and topology.

How to Memorize "codomain"

1. visualize
   

   - To visualize a codomain, imagine a function mapping its inputs to a set of possible outputs. The codomain is the set of all possible outputs that the function can produce.

2. associate
   

   - Associate the term 'codomain' with the idea of a 'set of potential outputs' for a given function.

3. mnemonics
   

   - Remember the mnemonic 'Codomain is the COmplete DOmain' to help remember that the codomain is the complete set of possible outputs for a function.

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