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  2. Rational data type - Wikipedia

    en.wikipedia.org/wiki/Rational_data_type

    Python: The standard library includes a Fraction class in the module fractions. [6] Ruby: native support using special syntax. Smalltalk represents rational numbers using a Fraction class in the form p/q where p and q are arbitrary size integers. Applying the arithmetic operations *, +, -, /, to fractions returns a reduced fraction. With ...

  3. Standard streams - Wikipedia

    en.wikipedia.org/wiki/Standard_streams

    Others (such as many Unix media players) may read files from standard input. Popular Windows programs that open a separate console window in addition to their GUI windows are the emulators pSX and DOSBox. GTK-server can use stdin as a communication interface with an interpreted program to realize a GUI.

  4. Linear-fractional programming - Wikipedia

    en.wikipedia.org/wiki/Linear-fractional_programming

    In mathematical optimization, linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear program is a linear function, the objective function in a linear-fractional program is a ratio of two linear functions.

  5. SymPy - Wikipedia

    en.wikipedia.org/wiki/SymPy

    SymPy is an open-source Python library for symbolic computation.It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]

  6. Pipeline (Unix) - Wikipedia

    en.wikipedia.org/wiki/Pipeline_(Unix)

    Alternatively, if the drain does not need to read any input from stdin to do something useful, it can be given < /dev/null as input. As all components of a pipe are run in parallel, a shell typically forks a subprocess (a subshell) to handle its contents, making it impossible to propagate variable changes to the outside shell environment.

  7. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In other words, a fraction ⁠ a / b ⁠ is irreducible if and only if a and b are coprime, that is, if a and b have a greatest common divisor of 1. In higher mathematics, "irreducible fraction" may also refer to rational fractions such that the numerator and the denominator are coprime polynomials. [2]

  8. tee (command) - Wikipedia

    en.wikipedia.org/wiki/Tee_(command)

    sudo is unable to pipe the standard output to a file. By dumping its stdout stream into /dev/null , we also suppress the mirrored output in the console. The command above gives the current user root access to a server over ssh, by installing the user's public key to the server's key authorization list.

  9. Continued fraction factorization - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction...

    [2] The continued fraction method is based on Dixon's factorization method. It uses convergents in the regular continued fraction expansion of , +. Since this is a quadratic irrational, the continued fraction must be periodic (unless n is square, in which case the factorization is obvious).

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