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  • 1985-1989  (1)
  • 1975-1979  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Cambridge : Cambridge University Press
    The @Cambridge law journal 35 (1976), S. 272-291 
    ISSN: 0008-1973
    Source: Cambridge Journals Digital Archives
    Topics: Law
    Notes: Control of the abuse of discretion is arguably the central and most controversial part of judicial review of administrative action. Within abuse of discretion, review of improper purposes is probably the most difficult ground to define and expound. It is not seen easily as a separate and unique concept. There is no clear approach to it as a mechanism of review. On the other hand, review for the consideration of irrelevant factors appears to offer greater certainty. There has been, therefore, a tendency to bring both grounds together in terms of the latter. As a result, the line between improper purposes and irrelevant considerations has become blurred, and often they are seen as identical. A number of questions arise from this. Are the two grounds of review different? What is their content? How are they to be manipulated? Is the apparently expansive import of Padfield v. Minister of Agriculture, Fisheries and Food a significant development? If so, is it a shift in the right direction? Problems in review for abuse of discretion stem from several sources. The problems compound one another in a context of limited legal structures and judicial analysis. Abuse of discretion is too easily regarded as a “grab-bag” from which a ground of review can always be found to suit the conclusion sought to be reached on the merits. Judicial review is a flexible tool but each ground has a limited use. “Improper purposes” and “irrelevant factors” exist as distinct phrases because each represents a separate mode of analysis which is particularly useful in a given situation.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 4 (1988), S. 211-221 
    ISSN: 1432-0940
    Keywords: 41A46 ; Nonlinear uniform approximation ; Uniform approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Uniform nonlinear approximation on an infinite interval is studied. This study was motivated by a specific nonlinear approximation problem arising in the construction of a stiff ordinary differential equation system solver. General results include characterization, uniqueness, and discretization theorems, as well as a computational algorithm for this problem.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 379-408 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper we present an algorithm for adaptively computing smooth piecewise polynomial approximations using restricted range uniform approximations on a finite point set. We also present several numerical examples and offer suggestions for the effective use of this algorithm. We have found the algorithm to be effective for approximating a wide class of functions, either with or without significant levels of noise. Furthermore, since the user of this algorithm actually defines tolerance bands within which the approximation will lie, the algorithm allows the user a great deal of flexibility and control over the shape of the resulting approximations.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 871-903 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In References 1 and 2, algorithms were introduced for adaptively computing smooth piecewise polynomial approximations using uniform, least-squars (l2) and restricted-range uniform approximations. This present paper introduces a FORTRAN program for computing smooth piecewise polynomial approximations to data and/or precise mathematical functions (in discrete form) which allows the user the option of using best l1 of best l2 approximations. (The l2 option of this newly developed l1-l2 adaptive curve-fitting package supersedes the code listed in Reference 1 for the old least-squares program.) In this paper, adaptive curve-fitting algorithm used in this l1-l2 package is described in detail, the FORTRAN program is the given (in the Appendix) and discussed, the numerical results are presented in an effort to illustrate how the l1 and l2 versions of this algorithm may be used most effectively.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 9 (1975), S. 297-323 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: We present a program which has given excellent results for uniform approximation of functions by polynomials, rational functions, generalized polynomials, and generalized rational functions. The algorithm is described in detail and several examples are discussed. The approximation is done over a finite point set, which is commonly a set of real numbers or points in the plane (in the latter case we are doing what is often known as surface fitting). Input to and output from the program is in tabular form. The method used is a linear programming approach known as the differential correction algorithm, which has been shown by several authors to always converge in theory (quadratically in some situations). In practice, we have obtained convergence in nearly every case, and quadratic convergence in most cases. The program can also be used for simultaneous approximation of several functions.
    Type of Medium: Electronic Resource
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