By making use of a suite of programs for designing profile geometry, cutter geometry and predicting the thermodynamic performance of a twin screw compressor, this paper investigates techniques of obtaining an optimised rotor cutter blade design. The techniques for using different geometric schemes for setting clearances are explained, and the techniques for optimising main manufacturing paramet...

In this paper, we define and study generalizations of expansiveness, namely n- $$\aleph _0$$ -expansiveness, continuum-wise expansive meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties such systems give necessary examples. prove results related to non-existence -expansive system on certain spaces. also relation between meagre-expansive

It is shown that for any expansive, integer valued 2×2 matrix, there exists a (multi-)wavelet whose Fourier transform is compactly supported and smooth. A key step is showing that for almost every equivalence class of integrally similar matrices there is a representative A which is strictly expansive in the sense that there is a compact set K which tiles the plane by integer translations and su...

A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V0 admits a normalized tight frame (under translations). In this paper, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer ...

In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, convergence analysis almost-expansive curves sequences governed by an evolution equation monotone or non-monotone type. Finally, propose two well-defined algorithms to remedy shortcomings concerning ill-posedness expansive-type systems.

A general framework for investigating topological actions of Z d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of R d. Here we completely describe this expansive behavior for the class of algebraic Z d-actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an alg...

Pyramidal multiresolution image representation is an ordered sequence of decreasing spatial resolution images in which each image is filtered version of its predecessor. Pyramidal representation of an image is applied in various fields of image processing: progressive image transmission used in interactive image communication over low-bandwidth channels, for image compression used in transmissi...

Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from arbitrary rational curves or surfaces with help of a geometric transformation which describes a change between two models of Laguerre geometry. Closely related to that is their optical interpretation as anticaustics o...