This paper presents a construction of compactly supported dual functions of a given box spline in L2(IR ). In particular, a concrete method for the construction of compactly supported dual functions of bivariate box splines of increasing smoothness is provided. Key-Words:multivariate biorthogonal wavelets, multivariate wavelets, box splines, matrix extension

In this paper, we introduce the concept of dual universality of hash functions and present its applications to various quantum and classical communication models including cryptography. We begin by establishing the one-to-one correspondence between a linear function family F and a code family C, and thereby defining ε-almost dual universal2 hash functions, as a generalization of the conventiona...

Infants’ native and nonnative tone perception was investigated in three studies. In Study 1, 6and 9-month-old English (non-tone) and Chinese (tone) infants were tested for discrimination of Thai tones in a training procedure. Study 2 examined English and French infants’ Thai tone perception in a more natural looking/listening task. Study 3 investigated English infants’ discrimination of Mandari...

let c be a field of subsets of a set i. also, let     1 i i be a non-decreasing positivesequence of real numbers such that 1, 1 0 1   i  and    11 i i . in this paper we prove thatbv of all the games of -bounded variation on c is a non-separable and norm dual banach space of thespace of simple games on c . we use this fact to establish the existence of a linear mapping t from...

in this study the trend of technological change and its nature was studied in production of sugar beet in iran by using dual approach. this approach is useful for estimating the demand structure of the input price change and technology status. after estimating the various forms of flexible functions, by selection of translog cost function with cost share equations system is estimated using seem...

this research, for the first time presents the flexible flow shop model of scheduling method for considering runway assignment and operations planning together. one of the advantages of the developed model is considering the procedures of air routes in terminal airspace and separation between consecutive aircraft which is very similar to the real world condition. there are different objective f...

Article history: Received 16 November 2010 Received in revised form 29 December 2011 Accepted 2 January 2012 Available online 3 February 2012 This paper explores the relationship between materiality and knowing through the notion of dual materiality. Dual materiality highlights how digital technology becomes important, as its materiality plays an integral part in creating, not simply representi...

The Grothendieck groups of the categories of finitely generated modules and finitely generated projective modules over a tower of algebras can be endowed with (co)algebra structures that, in many cases of interest, give rise to a dual pair of Hopf algebras. Moreover, given a dual pair of Hopf algebras, one can construct an algebra called the Heisenberg double, which is a generalization of the c...

Bector et al., (1994) introduced the concept of univexity. Mishra (1998), Mishra and Reuda (2001) and Mishra et al., (2005) have applied and generalized these functions. Mathematical programming in complex spaces originated from Levinson’s discussion of linear problems (Levinson, 1966). Mishra and Reuda (2003) have generalized these upto first orders, second order with symmetric duality. Furthe...

Pseudo-splines constitute a new class of refinable functions with B-splines, interpolatory refinable functions and refinable functions with orthonormal shifts as special examples. Pseudo-splines were first introduced by Daubechies, Han, Ron and Shen in [Framelets: MRA-based constructions of wavelet frames, Appl. Comput. Harmon. Anal. 14(1) (2003), 1–46] and Selenick in [Smooth wavelet tight fra...