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Computable - Dictionary

Computable

Part of Speech

Adjective

Pronunciation

/kəmˈpjuː.tə.bəl/

Definitions

  • Capable of being calculated or determined using a computational process.
  • In mathematics and computer science, a function or problem that can be solved by an algorithm within a finite amount of time.

Usage Examples

  • The problem is computable, meaning an algorithm exists to solve it.
  • Computable numbers are those that can be expressed by an algorithm.

Etymology

Derived from "compute" (from Latin "computare," meaning to calculate) and the suffix "-able," indicating capability.

Synonyms

  • Calculable
  • Solvable
  • Measurable

Antonyms

  • Incomputable
  • Undecidable
  • Unsolvable

Translations

Language Translation Pronunciation
FrenchComputable/kɔ̃.py.ta.bl/
SpanishComputable/kom.puˈta.βle/
GermanBerechenbar/bəˈʁɛçn̩baːʁ/
Chinese (Mandarin)可计算的/kě jìsuàn de/
Hindiगणनीय/gaṇanīya/
RussianВычислимый/vychislimyy/
Japanese計算可能な/keisan kanōna/
Arabicقابل للحساب/qabil lil-hisab/
PortugueseComputável/kõ.puˈta.vɛw/
Korean계산 가능한/gyesan ganeunghan/
More translations.........

Regional Pronunciation Variations

  • British English: /kəmˈpjuː.tə.bəl/
  • American English: /kəmˈpjuː.tə.bəl/

Historical Usage

The term "computable" became widely used in the early 20th century with the rise of mathematical logic and theoretical computer science, particularly in the works of Alan Turing and Kurt Gödel.

Cultural Nuances

The concept of computability is fundamental in artificial intelligence, quantum computing, and decision-making models, influencing various aspects of modern technology.

More Information

Computability is a core concept in computer science and mathematics, differentiating between problems that can be solved algorithmically and those that are inherently undecidable. The study of computability led to significant advances in artificial intelligence and cryptography.

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