In general, a tensor is a multilinear transformation defined over an underlying finite dimensional vector space. In this brief introduction, tensor spaces of all integral orders will defined inductively. Initially the underlying vector space, V, will be assumed to be an inner product space in order to simplify the discussion. Subsequently, the presentation will be generalized to vector spaces w...

UPC is a parallel extension of the C programming language which provides programmers with a shared global address space. A descendant of Split-C [1], AC [2], and PCP [3], UPC has two primary objectives: 1) to provide efficient access to the underlying machine, and 2) to establish a common syntax and semantics for explicitly parallel programming in C. The quest for high performance means in part...

The existence of interactions among the particles of a system is a common situation in statistical physics, for instance in real gases or weak liquid solutions. On the one hand, these interactions limit the range of applicability of the ideal equation of state. On the other hand, they give rise to a whole new class of exciting phenomena, such as thermodynamic instability and metastability, phas...

Recent advances in causal reasoning have given rise to a computational model that emulates the process by which humans generate, evaluate, and distinguish counterfactual sentences. Contrasted with the "possible worlds" account of counterfactuals, this "structural" model enjoys the advantages of representational economy, algorithmic simplicity, and conceptual clarity. This introduction traces th...