polynomial approximation वाक्य
उदाहरण वाक्य
मोबाइल
- Thorough composite rational and polynomial approximations have been given by Wichura and Acklam.
- Calculators normally use polynomial approximations to calculate many functions like cosine or logarithms.
- Thus, a fully polynomial approximation scheme for minimum weight triangulation is unlikely.
- Gouesbet and Letellier used a multivariate polynomial approximation and least squares to reconstruct their vector field.
- For example, moduli of smoothness are used in Whitney inequality to estimate the error of local polynomial approximation.
- The Taylor series expansion of " g " about 0 can then be truncated to give a polynomial approximation on " K ".
- They also have fast parallel multipliers, so within interpolation bands they can use polynomial approximations which are faster than traditional methods that required a lot more arithmetic operations.
- In a direct method, the state and / or control are approximated using an appropriate function approximation ( e . g ., polynomial approximation or piecewise constant parameterization ).
- Mechanical special-purpose computers known as difference engines were proposed in the 19th century to tabulate polynomial approximations of logarithmic functions & ndash; i . e . to compute large logarithmic tables.
- More recently, however, it was demonstrated that, using standard polynomial approximations to the normal " cdf, " the normal-ogive model is no more computationally demanding than logistic models.
- Briefly, the function f ( x ) to be integrated is evaluated at the N extrema or roots of a Chebyshev polynomial and these values are used to construct a polynomial approximation for the function.
- For " N " > " J ", orthogonal projection yields the standard overdetermined system of equations ( often called normal equations ) used to compute the coefficients in the polynomial approximation.
- His dissertation was entitled " Projections in Uniform Polynomial Approximation . " He held positions at the Institute of Mathematics and the Institute of Computer Sciences of the University of Wroclaw, and the Institute of Applied Mathematics Bonn in Germany.
- However, a quasi-polynomial approximation scheme is possible : for any constant & epsilon; > 0, a solution with approximation ratio 1 + & epsilon; can be found in quasi-polynomial time exp ( O ( ( log " n " ) 9 ).
- The Whewell equation and other types of so-called intrinsic equations have applications in the solution of certain physical problems, but for computer graphics it's apparently more practical to use compound polynomial approximations as in B�zier splines .-- talk ) 19 : 55, 31 August 2015 ( UTC)
- In mathematics, the "'Lebesgue constants "'( depending on a set of nodes and of its size ) give an idea of how good the function ( at the given nodes ) is in comparison with the best polynomial approximation of the function ( the degree of the polynomials are obviously fixed ).
- Although no computational method ( based on ABC or not ) seems to be able to break the curse-of-dimensionality, methods have recently been developed to handle high-dimensional parameter spaces under certain assumptions ( e . g ., based on polynomial approximation on sparse grids, which could potentially heavily reduce the simulation times for ABC ).
- It is important to note that, while in principle a QSS method of arbitrary order can be used to model a continuous-time system, it is seldom desirable to use methods of order higher than four, as the Abel Ruffini theorem implies that the time of the next quantization, t, cannot ( in general ) be algebraically when the polynomial approximation is of degree greater than four, and hence must be approximated iteratively using a root-finding algorithm.
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