It is well known that in the univariate case, up to an integer shift and possible sign change, there is no dyadic compactly supported symmetric orthonormal scaling function except for the Haar function. In this paper we are concerned with the construction of symmetric orthonormal scaling functions with dilation factor d = 4. Several examples of such scaling functions are provided in this paper....

Smooth orthogonal and biorthogonal multiwavelets on the real line with their scaling function vectors being supported on [−1, 1] are of interest in constructing wavelet bases on the interval [0, 1] due to their simple structure. In this paper, we shall present a symmetric C orthogonal multiwavelet with multiplicity 4 such that its orthogonal scaling function vector is supported on [−1, 1], has ...

This paper describes the application of finite-size scaling concepts to domain growth in systems with a non-conserved order parameter. A finite-size scaling ansatz for the timedependent order parameter distribution function is proposed, and tested with extensive Monte-Carlo simulations of domain growth in the 2-D spin-flip kinetic Ising model. The scaling properties of the distribution function...

A general theory of allometric scaling that predicts how the proportions of vascular plants and the characteristics of plant communities change or scale with plant size is outlined. The theory rests, in part, on the assumptions of (1) minimal energy dissipation in the transport of fluid through space-filling, fractal-like, branching vascular networks; and (2) the absence of scaling with plant s...

AbstructThis paper presents a generalized formulation of the extended chirp scaling (ECS) approach for high precision processing of airand spaceborne SAR data. Based on the original chirp scaling function, the ECS algorithm incorporates a new azimuth scaling function and a subaperture approach, which allow an effective phase-preserving processing of ScanSAR data without interpolation for azimut...

An integrated scaling factor of geometric functions into United Moment Invariant function is proposed for extracting feature of unconstrained words. Conventional regular moments have been proved that there were some drawbacks in the original in terms of scaling factor. Extracted features undergo discretization process before the classification task. In this paper, integrated scaling formulation...

The Bray-Humayun model for phase ordering dynamics is solved numerically in one and two space dimensions with conserved and non conserved order parameter. The scaling properties are analysed in detail finding the crossover from multiscaling to standard scaling in the conserved case. Both in the nonconserved case and in the conserved case when standard scaling holds the novel feature of an expon...

We show that the ‘centered’ Battle-Lemarié scaling function and wavelet of order n converge in L(2 ≤ q ≤ ∞), uniformly in particular, to the Shannon scaling function and wavelet as n tends to the infinity. AMS 2000 Subject Classification: 41A60, 42A20, 42C40.

This paper presents a simple, one-dimensional model of a randomly advected passive scalar. The model exhibits anomalous inertial range scaling for the structure functions constructed from scalar differences. The model provides a simple computational test for recent ideas regarding closure and scaling for randomly advected passive scalars. Results suggest that high order structure function scali...