A program transformation is any operation that takes a computer program and generates another program. In many cases the transformed program is required to be semantically equivalent to the original, relative to a particular formal semantics and in fewer cases the transformations result in programs that semantically differ from the original in predictable ways.
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Fixed point (mathematics)
Not to be confused with a stationary point where f'(x) = 0. In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is a point that is mapped to itself by the function. A set of fixed points is sometimes called a fixed set. That is to say, c is a fixed point of the function f(x) if and only if f(c) = c. For example, if f is defined on the real numbers by then 2 is a fixed point of f, because f(2) = 2.
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Value (mathematics)
In mathematics, value commonly refers to the output of a function. In the most basic case, that of unary, single-valued functions, there is one input and one output (the value of the function). A real-valued function is a function that associates to every element of the domain a real number in the image. Example: If the function is defined by prescribing that for each real number, then the input 3 will yield the function value 10 (since indeed {{{1}}}).
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Compiler
A compiler is a computer program (or set of programs) that transforms source code written in a programming language (the source language) into another computer language (the target language, often having a binary form known as object code). The most common reason for wanting to transform source code is to create an executable program. The name "compiler" is primarily used for programs that translate source code from a high-level programming language to a lower level language.
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Aircrew
Aircrew are the personnel who operate an aircraft while in flight. The composition of the crew depends on the type of aircraft as well as the purpose of the flight.
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