Results 181 to 190 of about 67,589 (200)
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On implementing arbitrary precision arithmetic in NIL
ACM SIGSAM Bulletin, 1980NIL, currently under development at MIT's Laboratory for Computer Science, is the "New Implementation of Lisp" intended for the latest generation of large address space computers. This system is being developed in Lisp itself (following the successful pattern of the Lisp Machine Project at MIT), and among other goals, eliminates a few internal ...
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An arbitrary precision real arithmetic package in REDUCE
1979A REDUCE arbitrary precision real arithmetic package is described which will become a part of the kernel of an algebraic-numeric system being developed for REDUCE. The basic design principles of this package are first, it is as efficient as possible in both calculation speed and memory usage, second, even a casual user can use it, and third, it is ...
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A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic
Reliable Computing, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Methods in the Applied Sciences, 2018
A complete set of radiating “outwards” eigensolutions of the Helmholtz equation, obtained by transforming appropriately through the Vekua mapping the kernel of Laplace equation, is applied to the investigation of the acoustic scattering by penetrable prolate spheroidal scatterers.
Leonidas N. Gergidis +3 more
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A complete set of radiating “outwards” eigensolutions of the Helmholtz equation, obtained by transforming appropriately through the Vekua mapping the kernel of Laplace equation, is applied to the investigation of the acoustic scattering by penetrable prolate spheroidal scatterers.
Leonidas N. Gergidis +3 more
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International Journal of Quantum Chemistry, 2000
It would seem that limiting computer computations to numbers with a fixed number of decimal digits would inhibit flexibility. Software programs such as Mathematica permit numerical algebra to be done exactly in terms of the ratio of integers. Hence, a single Taylor series representation of a function can span the entire range needed for a corresponding
H. W. Jones, J. L. Jain
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It would seem that limiting computer computations to numbers with a fixed number of decimal digits would inhibit flexibility. Software programs such as Mathematica permit numerical algebra to be done exactly in terms of the ratio of integers. Hence, a single Taylor series representation of a function can span the entire range needed for a corresponding
H. W. Jones, J. L. Jain
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A library for arbitrary precision interval arithmetic
2002no ...
Revol, Nathalie, Rouillier, Fabrice
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Robust Construction of 3-D Conforming Delaunay Meshes Using Arbitrary-Precision Arithmetic
2006An algorithm for the construction of 3-D conforming Delaunay tetrahedralizations is presented. The boundary of the meshed domain is contained within Voronoi cells of the boundary vertices of the resulting mesh. The algorithm is explained heuristically. It has been implemented. The problem of numerical precision is shown to be a major obstacle to robust
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Arbitrary precision real arithmetic: design and proved algorithms
2005We describe here a representation of computable real numbers and a set of algorithms for the elementary functions associated to this representation.A real number is represented as a sequence of finite B-adic numbers and for each classical function (rational, algebraic or transcendental), we describe how to produce a sequence representing the result of ...
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architect: Arbitrary-Precision Hardware With Digit Elision for Efficient Iterative Compute
IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2020He Li, James J Davis, John Wickerson
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