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Contractible Meaning: Definition, Examples, and Translations

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contractible

[kənˈtræktəbl ]

Definition

Context #1 | Adjective

in mathematics

Capable of being contracted. The term is used in topology to describe a space that can be continuously deformed to a point.

Synonyms

compressible, reducible.

Which Synonym Should You Choose?

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Word Description / Examples
contractible

Similar to the first 'contractible', referring to the ability to shrink in size, but can also apply to legal terms or diseases.

  • This infection is easily contractible.
  • The clause in the contract is contractible upon mutual agreement.
reducible

Used to describe something that can be made smaller, less complex, or less in amount. Commonly used in mathematics, problem-solving, and chemistry.

  • The equation is reducible to a simpler form.
  • The company's carbon footprint is reducible with new policies.
compressible

Used to describe something that can be forced into a smaller space by pressure. Often used in physics and engineering contexts.

  • Air is a compressible fluid.
  • Certain materials become more compressible at higher altitudes.

Examples of usage

  • The circle is contractible to a point.
  • The sphere is not contractible to a point.

Translations

To see the translation, please select a language from the options available.

Origin of 'contractible'

The word 'contractible' originated from the Latin word 'contractibilis', which means 'that can be drawn together'. The term 'contractible' has been used in mathematics since the early 20th century to describe spaces that can be continuously deformed. It is a key concept in topology and plays a significant role in understanding the properties of geometric shapes.

See also: contract, contracted, contracting, contraction, contractions, contractor, contractors, contracts, contractual, subcontract, subcontracting.