We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify the Bernstein polynomials as coefficients in the generating function for the elementary symmetric fu
Divided differences and ideals generated by symmetric polynomials
β Scribed by A. Lascoux; P. Pragacz
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 388 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
This note describes ideals generated by symmetric polynomials in two sets of variables A, B. These ideals generalize the ideals generated by differences of elementary symmetric functions considered by and the ideals generated by symmetric functions in the formal difference A-B described by . The main tool is divided differences.
π SIMILAR VOLUMES
We define means in n variables by taking the intersection point in R n of n osculating hyperplanes to a given curve in R n . These planes are the natural extensions of the osculating plane in R 3 . More precisely, let C be a curve in R n , and let 0a -ΠΈΠΈΠΈa -Ο±. Let O be the osculating hyperplane to C
## Abstract Much knowledge management (KM) literature is focused on the improvements that can be made to organisations if they use their knowledge resource effectively. A great deal of knowledge rests in the heads of employees. Little to date has discussed the differences in soft knowledge utilisat