A City Divided

Epidemic measles in a divided city.

Divided city: the crisis of London

In an article written in 2000 I posed what I called ‘the Multicultural question’. It runs something like this: What are the chances that we can construct in our cities shared, diverse, just, and egalitarian forms of common life, guaranteeing the full rights of democratic citizenship and participation to all on the basis of equality, whilst respecting the differences which inevitably come about ...

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. §