We derive Sobolev-type inner products with respect to which hat functions on arbitrary triangulations of domains in R are orthogonal. Compared with linear interpolation, the resulting approximation schemes yield superior accuracy at little extra cost.

This paper shows that-almost strongly universal classes of hash functions can yield better explicit constructions of identiication codes via channels (ID codes) and identiication plus transmission codes (IT codes) than the previous explicit constructions of Verd u and Wei.

We apply down operators in the affine nilCoxeter algebra to yield explicit combinatorial expansions for certain families of non-commutative kSchur functions. This yields a combinatorial interpretation for a new family of k-Littlewood-Richardson coefficients.

By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.

We analyze a class of ‘large group’ Chamberlinian monopolistic competition models using multiplicatively quasi-separable (MQS) and additively quasi-separable (AQS) functions. We first prove that the MQS and AQS functions are equivalent to the ‘constant relative risk aversion’ (CRRA) and ‘constant absolute risk aversion’ (CARA) classes of functions, respectively. Whereas both approaches allow fo...

Dimensional analysis provides many simple and useful tools for various situations in science. The objective of this paper is to investigate its relations to functions, i.e., the dimensions for functions that yield physical quantities and those for the arguments of functions. In particular, it is shown that there are three types of functions from a viewpoint of dimensional analysis. The results ...

Parallel telescoping is a natural generalization of differential creativetelescoping for single integrals to line integrals. It computes a linear ordinary differential operator L, called a parallel telescoper, for several multivariate functions, such that the applications of L to the functions yield antiderivatives of a single function. We present a necessary and sufficient condition guaranteei...

Under some conditions, parameterized games with strategic substitutes exhibit monotone comparative statics of equilibria. These conditions relate to a tradeoff between a direct parameter effect and an opposing, indirect strategic substitute effect. If the indirect effect does not dominate the direct effect, monotone comparative statics of equilibria are guaranteed. These conditions are availabl...

Quality of service (QoS) support that provides customized service qualities to multiple classes of client requests can effectively utilize available system resources. This paper presents the design and implementation of a flexible and efficient QoS framework for cluster-based network services. This framework achieves four objectives. First, the framework provides a flexible mechanism for servic...