This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field

Consider the field of rational functions Kpxq for a field K and let d dx be the usual derivative. Then Kpxq is a differential field. We call Kpxqtyu the ring of differential polynomials. Its elements are polynomials in y and the derivatives of y, i. e. Kpxqtyu Kpxqry, y1, y2, . . .s. An algebraic ordinary differential equation (AODE) is one of the form F px, y, y1, . . . , ypnqq 0 where F P Kpx...

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

Total inelastic pp cross-sections are reconstructed for laboratory kinetic energies ranging from 0.3 to 400 GeV. They are obtained by fitting together the sum of total cross-sections for exclusive inelastic channels, the sum of topological cross-sections and the results for independent « direct » measurements. The inelastic np cross-sections are reconstructed in the energy range below 4.2 GeV u...

Asian options are strongly path-dependent derivatives. Although efficient numerical methods and approximate closedform formulas are available, most lack convergence guarantees. Asian options can also be priced on the lattice. All efficient lattice algorithms keep only a polynomial number of states and use interpolation to compensate for the less than full representation of the states. Let the t...

The economics of standards and standard setting has grown to considerable prominence in the last few years. 1 Buttressed by influential neoclassical models of network externalities (Farrell & Saloner, 1985; Katz & Shapiro, 1985), this intellectual edifice has as its keystone David’s (1985) famous history of the QWERTY keyboard. In David’s account, the now-familiar arrangement of keys is a parad...

ôbjective: ço-morbidity of personality disorders with illicit drug abuse has a deleterious effect on the management outcome of both conditions. this study was conducted to assess the prevalence of different personality disorders among substance dependent patients in an ïranian city (ïsfahan) with a view to have a better understanding of various management strategies. methods: â total of 368 dif...

conclusions zolpidem dependency and withdrawal seizure can occur with a dosage under last reported doses. therefore, possibility of mentioned problems cannot be excluded at any dosage and physicians should pay more attention to potential of zolpidem to create these adverse effects. introduction zolpidem is a short acting inducer of sleep and thought to lack benzodiazepine properties such as anx...