Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.

Graph Polynomial: An algebraic expression that encodes key combinatorial properties of a graph. Tutte Polynomial: A two-variable polynomial invariant capturing a wide range of graph properties ...

The simplest and most natural examples of completely nonunitary contractions on separable complex Hilbert spaces which have polynomial characteristic functions are the nilpotent operators. The main ...

Constructive proofs and several generalizations of approximation results of J. H. Bramble and S. R. Hilbert are presented. Using an averaged Taylor series, we represent a function as a polynomial plus ...