Part of Speech

Noun

Phonetic Transcription

/kəmˌpjuːtəˈbɪlɪti/

Meaning and Usage

Computability refers to the ability to be computed or calculated, typically in the context of functions, numbers, or problems in computer science and mathematics. It examines whether a problem can be solved by a computational process or algorithm. The term is frequently used in theoretical computer science, particularly in discussions about algorithms, Turing machines, and decidability.

In terms of frequency of use, "computability" is more commonly seen in written contexts, particularly within academic papers, textbooks, and technical discussions. It is less frequently used in everyday oral speech, as it is often confined to specialized fields.

Example Sentences

1. The study of computability has led to significant advancements in understanding which problems can be solved by computers.

2. Изучение вычислимости привело к значительным достижениям в понимании того, какие задачи могут быть решены компьютерами.

3. Researchers often explore the limits of computability when considering complex algorithms.

4. Исследователи часто изучают границы вычислимости, когда рассматривают сложные алгоритмы.

5. In computer science, a thorough knowledge of computability is essential for developing efficient algorithms.

6. В информатике глубокие знания вычислимости необходимы для разработки эффективных алгоритмов.

Idiomatic Expressions

While "computability" itself does not form idiomatic expressions in English, it is often discussed within the context of phrases and concepts related to mathematics and computer science. Here are a few examples of sentences where "computability" plays a role in idiomatic expressions related to computation:

1. The computability conundrum of this problem has sparked numerous debates among theorists.

2. Вычислимый парадокс этой задачи вызвал множество дебатов среди теоретиков.

3. Understanding the limits of computability is crucial for anyone diving into the world of computer science.

4. Понимание пределов вычислимости имеет решающее значение для каждого, кто погружается в мир информатики.

5. The computability of certain problems seems almost magical, yet it is rooted in mathematics.

6. Вычислимость некоторых задач кажется почти волшебной, но она основана на математике.

Etymology

The term computability is derived from the Latin word "computare," which means "to calculate" or "to count." The prefix "com-" implies with or together, while "putare" translates to reckon or count. The term has evolved within the context of mathematics and logic, particularly in the 20th century with the development of computer science.

Synonyms and Antonyms

Synonyms: - Calculation ability - Algorithmic solvability - Computable function

Antonyms: - Incomputability - Unsolvability - Indecidability

In conclusion, "computability" is an essential term in computer science and mathematics, indicating how certain problems can be solved using computational methods. Its understanding is fundamental for advancements in algorithm development and theoretical discussions concerning what is computable.