Computably is spelled with three syllables [kəmˈpjuːtəbli]. The first syllable starts with a weak stress and an unstressed schwa sound [kə], followed by the stressed syllable containing the diphthong /juː/ [mˈpjuː] which sounds like /ew/. The third and final syllable [təbli] is pronounced more lightly with a schwa sound right at the end. All these parts put together form the word meaning capable of being calculated by a computer.
Computably is an adverb that pertains to the field of computability theory or the study of what tasks can be computed by a computer. The term computably refers to the ability or feasibility of being computed or solved by a computer algorithm in a well-defined and systematic manner.
In the realm of computability theory, a problem or function is considered computable if an algorithm or computer program exists that can correctly and effectively compute or approximate a solution to that problem. Thus, computably is used to describe problems, functions, or tasks that fall within the range of what can be computed by a computer.
The term computably can also be used to describe the level of efficiency or complexity of an algorithm. A problem that is computably solvable may have multiple algorithms that provide different levels of efficiency or time complexity for its solution. Hence, computably can indicate the degree to which a problem is efficiently solvable by a computer.
Overall, computably signifies the capability of being solved or computed by a computer in a systematic, algorithmic, and well-defined manner. It encompasses the notion of what problems lie within the realm of computability and the efficiency with which they can be solved algorithmically.
The word "computably" is derived from the noun "compute" and the suffix "-able".
The noun "compute" can be traced back to the Latin verb "computare", which means "to calculate". "Computare" is formed by combining the prefix "com-" (meaning "together" or "with") and the verb "putare" (meaning "to think" or "to prune").
The suffix "-able" is derived from the Latin suffix "-abilis", which indicates the ability or capacity for something.
When combined, the noun "compute" and the suffix "-able" form the adjective "computable", which means capable of being calculated or processed by a computer. This is often used in the context of computational complexity theory, algorithmic analysis, or the theoretical limits of what can be computed.