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A Tutorial Introduction to Maple
The Maple computer algebra system is described. Brief sample sessions show the user syntax and the mathematical power of the system for performing arithmetic, factoring, simplification,Expand
Cryptography Using Chebyshev Polynomials
Cryptography using Chebyshev polynomials Cryptography using Chebyshev polynomials @inproceedings{Fee2004CryptographyUC, title={Cryptography using Chebyshev polynomials}, author={Gregory J. Fee},Expand
Zeros of Partial Sums of the Riemann Zeta Function
TLDR
It is shown that the zeros of a ζN(s), when reduced into imaginary periods derived from primes less than or equal to N, establish regular patterns and can be embedded as a dense set in the period of a surface in ℝk+1. Expand
Hybrid symbolic-numeric integration in MAPLE
TLDR
This paper explores the enhanced mathematical problem-solving capabilities which can be achieved in a specific problem area by an appropriate e combination of symbolic and numeric computational tools. Expand
Isogroups of Differential Equations Using Algebraic Computing
TLDR
Liesymm fully automates the Harrison-Estabrook procedure and can also generate a “suitable” initial set of differential forms directly from the given partial differential equations and as such can be used at a level that obviates any need for familiarity with forms. Expand
Comparison of algorithms for the symbolic computation of the NP spin coefficients and curvature components
Algorithms for the symbolic computation of the NP spin coefficients and curvature components for a given null coframe based on the structural equations of Cartan and the complex vectorial formalismExpand
Asymptotic series of generalized Lambert W function
TLDR
This work examines series expansions of the generalized version providing computational means for evaluating this function in various regimes and confirming the notion that this generalization is a natural nextension of the standard Lambert W function. Expand
The prime factors of Wendt’s binomial circulant determinant
Wendt’s binomial circulant determinant, W„, is the determinant of an m by m circulant matrix of integers, with (i, j)th entry (i, ™.i) whenever 2 divides m but 3 does not. We explain how we found theExpand
Equivalence of Kramers-Kronig and Fourier Transforms to Convert between Optical Dispersion and Optical Spectra
The complex refractive index relates optical dispersion, which describes the variation of refractive index with wavenumber, to the corresponding absorption spectrum; both phenomena are associatedExpand
Numerics of the generalized Lambert W function
TLDR
This research presents a meta-modelling framework for simulating the dynamic response of the immune system through the response of a Tournaisian immune system. Expand
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