We develop an algorithm for computing numerical evidence for a conjecture whose validity is predicted by the requirement that the Equivariant Tamagawa Number conjectures for Tate motives as formulated by Burns and Flach are compatible with the functional equation of Artin Ä-series. The algorithm includes methods for the computation of Fitting ideals and projective lattices over the integral gro...

Error estimates are derived for the approximate identification of an unknown transmissivity coefficient in a partial differential equation describing a model problem in groundwater now. The approximation scheme considered determines the coefficient by least squares fitting of the observed pressure data.

Stereum hirsutum is a white-rot fungus which produces laccase and manganese peroxidase as part of its ligninolytic system. Maximal ligninases production (under the conditions studied) was obtained in the media containing 250 microM Cu++ along with a pH value of 5.5. The fitting of ligninase production to a linear equation showed negative interaction between increasing values of pH and concentra...

Grammatical Evolution is related to the idea of genetic programming in that the objective is to find an executable program or function. GE offers a solution by evolving solutions according to a user specified grammar (BackusNaur Form). In this paper GE is used to construct a classifier for some well known datasets. and curve fitting problems without the need to assume the equation shape.

A method is presented for fitting the pairs of values product formed-time taken from progress curves to the integrated rate equation. The procedure is applied to the estimation of the kinetic parameters of the adenosine deaminase system. Simulation studies demonstrate the capabilities of this strategy. A copy of the FORTRAN77 program used can be obtained from the authors by request.

A new mathematical equation has been developed by which whole-body exposure to gamma radiation may be used to predict the survival characteristic of the intestinal crypt in mice pretreated with N-nitrosodiethylamine (NDEA). A computer fitting procedure showed the best agreement between predicted and observed curves. The results suggest that fewer cells may survive in crypts after gamma irradiat...

A simple synthetic strategy for synthesis of new series of hetarylazo-heterocycles is described. The effects of solvent on their electronic absorption spectra were analyzed using Kamlet-Taft equation. The results of fitting coefficients indicated that the solvatochromism of the studied compounds is mainly due to the solvent polarity rather than the solvent basicity and acidity.

Reported is characterization of the self-assembly of π-conjugated oligomers, molecules studied recently in photovoltaic devices, using variable temperature diffusion ordered spectroscopy (VT-DOSY). Iterative fitting of diffusion coefficient versus temperature data to a modified Stokes-Einstein equation, molecular modelling, and comparison to non-assembling model compounds, has allowed estimatio...

We study I-V characteristics and time dependence of ∆VT under different VGS, temperature stresses and recovery in undoped back-gated Ge nanowire. We show that charge trapping is dominant mechanism of VGS, temperature stress and recovery by fitting measured ∆VT with stretched-exponential equation.