We describe the integral cohomology rings of the flag manifolds of types Bn, Dn, G2 and F4 in terms of their Schubert classes. The main tool is the divided difference operators of BernsteinGelfand-Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.

In this paper we study multivariate polynomial interpolation on Aitken–Neville sets by relating them to generalized principal lattices. We express their associated divided differences in terms of spline integrals.

There are some different methods used for depth perception. In this paper, a new method for the depth perception, by using a single camera based on an interpolation, is introduced. In order to find the parameters of the interpolation function, a set of lines with predefined distance from camera is used, and then the distance of each line from the bottom edge of the picture (as the origin line) ...

We address the general classification problem of all stable associative product structures in the complex cobordism theory. We show how to reduce this problem to the algebraic one in terms of the Hopf algebra S (the Landweber-Novikov algebra) acting on its dual Hopf algebra S∗ with a distinguished “topologically integral” part Λ that coincids with the coefficient ring of the complex cobordism. ...

The authors examined recognition memory for words or visuospatial patterns under full (FA) or divided attention (DA) conditions with a distracting task requiring either phonological (rhyme) or visuospatial (curved-line) processing of letters, in 72 young adults. The authors found an interaction such that the curved-line distracting task had a more detrimental effect on corrected recognition, an...

Here, and throughout the paper, we will assume that x0 ≤ x1 ≤ . . . ≤ xn are arbitrarily spaced real values and x is any real value in the interval [x0, xn]. We refer the reader to Conte and de Boor [1 ] for basic properties of divided differences. Two things are required: evaluation of the coefficients ck; and a bound on the remainder term Rp in terms of the maximum grid spacing h := max 0≤i≤n...

The authors examined how retrieval, under divided attention (DA) conditions, is affected by the type of material in a concurrent task, and whether aging produces larger interference effects on memory. Young and old adults studied a list of unrelated words under full attention, and recalled them while performing either an animacy decision task to words or an odd-digit identification task to numb...

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent resu...

Given scattered data on the real line, Favard [4] constructed an interpolant which depends linearly and locally on the data and whose nth derivative is locally bounded by the nth divided differences of the data times a constant depending only on n. It is shown that the (n − 1)th derivative of Favard’s interpolant can be likewise bounded by divided differences, and that one can bound at best two...

An impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms is considered. The reaction-diffusion terms are approximated by divided differences. For simplicity of notation the spatial domain Ω is assumed to be a finite closed interval [a, b]. Under suitable conditions in terms of M−matrices it is proved that the system obtained has a unique ...