some arguments against infinite regress in islamic philosophy such as applied proof or argument of ones and thousands are based on the mathematical foundations and preliminaries. extraction and analysis of these preliminaries exposes mathematical nature of these arguments and shows that besides philosophical approach to these arguments should also look at them from perspective of mathematics. a...

In this paper it is described a method to compute the distance between sets, that implies the formation of distance functions different from Hausdorff metric. Two functions with metric properties, which describe quantitatively distances between sets, are formed. First function can be used for sets arbitrary situated from each other. Second distance is more suited for sets clustered by rank link...

The paper describes FPGA implementation of cryptographic coprocessor performing operations on elliptic curve points with coordinates in GF (2). Polynomial basis and normal basis arithmetic units are presented and compared. Hardware implementation of GCD inversion in polynomial basis is described. Where an optimal normal basis exists, the normal basis arithmetic performs better. The digit width ...

Joachim Feist , Ste en Gutjahr Neurotec Hochtechnologie GmbH Germany Email: [email protected] University of Karlsruhe Institute of Logic, Complexity and Deduction Systems Germany Email: [email protected] Abstract. In this paper we compare variants of elliptical basis function networks for classication tasks. The networks are introduced as density estimators and then modi ed towards RBF networks. ...

This paper shows that the solutions to various 1-norm minimization problems are unique, if and only if a common set of conditions are satisfied. This result applies broadly to the basis pursuit model, basis pursuit denoising model, Lasso model, as well as certain other 1-norm related models. This condition is previously known to be sufficient for the basis pursuit model to have a unique solutio...

in this research, this possibility was investigated the relative stablilty geometry and bindingenergies of the hydrogen bonds of molybdate-phosphonic acid (mpa) complex in gas phase onthe basis of result of ab initio and dft calculations. three dft methods have been applied forcalculations are b3lyp, bp86 and b3pw91 that have been studied in two series of basis sets:d95** and 6-31+g(d,p) for hy...

the potential energy surface of gaseous glycine determined years ago in the ab initio b3lyp/6-311++g** calculations is composed of thirteen stable conformers. we performed the ab initiomolecular orbital calculations as the starting point to carry out a force field and normal coordinatecalculation on the most stable conformer of non-zwitterionic glycine [conformer (i)]. thecalculations were carr...

sueyoshi and sekitani in 2007 presented a paper that explores the measurement of returns to scale under a possible occurrence of multiple solution in a reference set and a supporting hyperplane. the occurrence ofmultiple solutions is classified into type i and type ii. type i is an occurrence of multiple solutions in a reference set. type ii is an occurrence of multiple solutions on a supportin...

Following Kashiwara’s algebraic approach, we construct crystal bases and canonical bases for quantum supergroups of anisotropic type and for their integrable modules.