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  2. File:RationalRepresentation.pdf - Wikipedia

    en.wikipedia.org/.../File:RationalRepresentation.pdf

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  3. Bulirsch–Stoer algorithm - Wikipedia

    en.wikipedia.org/wiki/Bulirsch–Stoer_algorithm

    In numerical analysis, the Bulirsch–Stoer algorithm is a method for the numerical solution of ordinary differential equations which combines three powerful ideas: Richardson extrapolation, the use of rational function extrapolation in Richardson-type applications, and the modified midpoint method, [1] to obtain numerical solutions to ordinary ...

  4. Rational reconstruction (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rational_reconstruction...

    The rational number / is unknown, and the goal of the problem is to recover it from the given information. In order for the problem to be solvable, it is necessary to assume that the modulus m {\displaystyle m} is sufficiently large relative to r {\displaystyle r} and s {\displaystyle s} .

  5. Simple rational approximation - Wikipedia

    en.wikipedia.org/wiki/Simple_rational_approximation

    This one-point second-order method is known to show a locally quadratic convergence if the root of the equation is simple. SRA strictly implies this one-point second-order interpolation by a simple rational function. We can notice that even third order method is a variation of Newton's method. We see the Newton's steps are multiplied by some ...

  6. Polynomial and rational function modeling - Wikipedia

    en.wikipedia.org/wiki/Polynomial_and_rational...

    For example, a quadratic for the numerator and a cubic for the denominator is identified as a quadratic/cubic rational function. The rational function model is a generalization of the polynomial model: rational function models contain polynomial models as a subset (i.e., the case when the denominator is a constant).

  7. Rational data type - Wikipedia

    en.wikipedia.org/wiki/Rational_data_type

    Julia provides rational numbers with the rational operator, //. For example, 6 // 9 == 2 // 3 && typeof (-4 // 9) == Rational {Int64}. [2] Haskell provides a Rational type, which is really an alias for Ratio Integer (Ratio being a polymorphic type implementing rational numbers for any Integral type of numerators and denominators). The fraction ...

  8. Solid Converter PDF - Wikipedia

    en.wikipedia.org/wiki/Solid_Converter_PDF

    Solid Converter PDF is document reconstruction software from Solid Documents which converts PDF files to editable formats. Originally released for the Microsoft Windows operating system, a Mac OS X version was released in 2010. The current versions are Solid Converter PDF 9.0 for Windows and Solid PDF to Word for Mac 2.1.

  9. Chebyshev rational functions - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_rational_functions

    Plot of the absolute value of the seventh-order (n = 7) Chebyshev rational function for 0.01 ≤ x ≤ 100.Note that there are n zeroes arranged symmetrically about x = 1 and if x 0 is a zero, then ⁠ 1 / x 0 ⁠ is a zero as well.

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