A liver divided

A divided difference expansion of a divided difference

A divided difference expansion with remainder for a general divided difference is derived that contains Floater’s recent derivative expansion as a special case. key words divided difference, univariate, remainder, interpolation

A Multivariate Divided

A multivariate kth divided diierence is proposed and shown to lead to new error formull for polynomial interpolation on some standard multivariate point sets. x1. Introduction In trying to understand what might be a reasonable way to describe the error in interpolation by polynomials on l R d , I came upon the following considerations: The standard error formula g(x) = g(a) + Z 1 0 D x?a g(a + ...

A Multivariate Divided Difference

Amultivariate kth divided difference is proposed and shown to lead to new error formulæ for polynomial interpolation on some standard multivariate point sets. §

Psychopharmacology: a house divided.

BACKGROUND Psychopharmacology and psychiatry during the past 50 years have focused on the specificity model in which it is assumed that psychiatric disorders are specific entities which should respond to drugs with specific mechanisms of action. However, the validity of this model has been challenged by the approval of multiple drugs for the same disorder, as well as the approval of single agen...

A nation divided.