This book was written for those who want to efficiently use a computer algebra system, and
Sage in particular. Symbolic computation systems offer plenty of functionality, and finding the …

A multiscale approach including a finite element framework for polycrystal plasticity is used
to model jerky flow, also known as the Portevin–Le Chatelier effect. The local constitutive …

We present a system for the automatic differentiation (AD) of a higher-order functional array-
processing language. The core functional language underlying this system simultaneously …

The problem of aggregating multiple rankings into one consensus ranking is an active
research topic especially in the database community. Various studies have implemented …

We realize several combinatorial Hopf algebras based on set compositions, plane trees and
segmented compositions in terms of noncommutative polynomials in infinitely many …

We provide combinatorial models for all Kirillov–Reshetikhin crystals of nonexceptional type,
which were recently shown to exist. For types Dn (1), Bn (1), A2n− 1 (2) we rely on a …

We construct the Schubert basis of the torus-equivariant K-homology of the affine
Grassmannian of a simple algebraic group G, using the K-theoretic NilHecke ring of Kostant …

We introduce a graded Hopf algebra based on the set of parking functions (hence of
dimension (n+ 1)^{n-1} in degree n). This algebra can be embedded into a noncommutative …

This paper addresses the problem of selecting finite test sets and automating this selection.
Among these methods, some are deterministic and some are statistical. The kind of …

Noncommutative Symmetric Functions VII: Free Quasi-Symmetric Functions Revisited Page 1
Ann. Comb. 15 (2011) 655–673 DOI 10.1007/s00026-011-0115-4 Published online October 7 …