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'''Algorithm''' — ''[[алгоритм]].'' | '''Algorithm''' — ''[[алгоритм]].'' | ||
An '''algorithm''' is a specific set of instructions for carrying out | An '''algorithm''' is a specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure | ||
a procedure or solving a problem, usually with the requirement that the procedure | |||
terminates at some point. Specific algorithms are sometimes called a method, | terminates at some point. Specific algorithms are sometimes called a method, | ||
a procedure, or a technique. The word ''algorithm'' is a distortion of al-Khwarizmi, | a procedure, or a technique. The word ''algorithm'' is a distortion of al-Khwarizmi, | ||
a Persian mathematician who wrote an influential treatise about algebraic methods. | a Persian mathematician who wrote an influential treatise about algebraic methods. The process of applying an algorithm to an input to obtain an output | ||
The process of applying an algorithm to an input to obtain an output | |||
is called a '''computation.''' | is called a '''computation.''' | ||
Clearly, each ''[[Turing machine]]''constitutes an | Clearly, each ''[[Turing machine]]'' constitutes an algorithm in the intuitive sense. The statement that a Turing machine is a general-enough mathematical model for the intuitive notion of an algorithm is usually referred to as '''Church's thesis'''. | ||
algorithm in the intuitive sense. The statement that a Turing machine is a general-enough mathematical model for the intuitive notion of an algorithm is usually referred to as '''Church's thesis'''. |