We consider the family of irreducible cyclically presented groups on n generators whose generating word (in the standard rewrite) has length at most 15. Using the software packages KBMAG, quotpic and Magma, together with group and number theoretic methods, we show that if 6 ≤ n ≤ 100 then the group is non-trivial. In an appendix we list the 47 cases within 2 ≤ n ≤ 100 for which we know the grou...

the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

In this paper, we present a technique for the deposition of inks, toners, organic polymers, fuels, small solid particles, biological and chemical fluids, using a fluid ejector. The ejector design is based on a flextensional transducer that excites the axisymmetric resonant modes of a clamped circular plate. It is constructed by depositing a thin piezoelectric annular plate onto a thin, edge cla...

The multipolynomial resultant of a set of equations is fundamental in quantiier elimination over the elementary theory of real and algebraically closed elds. Earlier algorithms for resultant computation and symbolic elimination are considered slow in practice. In this paper we present eecient algorithms to compute multi-polynomial resultants and demonstrates their use for polynomial manipulatio...

Motivated by the study of cyclic resultants, we consider the problem of determining when two binomial factorizations of the form

A beam finite element formulation for large deflection problems in the analysis of flexible multibody systems has been proposed. In this formulation, a set of independent deformation modes are defined for each element that do not change if the element is subjected to rigid body motions. The paper examines the applicability of this deformation mode formulation for a shear-deformable three-dimens...