We define a set of orthogonal functions on the complex projective space CPN−1, and compute their Clebsch-Gordan coefficients as well as a large class of 6–j symbols. We also provide all the needed formulae for the generation of high-temperature expansions for U(N)-invariant spin models defined on CPN−1.

an important aspect of microarray studies includes the prediction of patient survival based on their gene expression profile. to deal with the high dimensionality of this data, use of a dimension reduction procedure along with the survival prediction model is necessary. this study aimed to present a new method based on wavelet transform for survival relevant gene selection.the data included 204...

This work proposes Steganographic technique for hiding multiple images in a color image based on DWT and DCT. The cover image is decomposed into three separate color planes namely R, G and B. Individual planes are decomposed into subbands using DWT. DCT is applied in HH component of each plane. Secret images are dispersed among the selected DCT coefficients using a pseudo random sequence and a ...

We show a converse of a theorem of Ein, Lazarsfeld, Smith, and Varolin on the relation between the jumping coefficients and the roots of the Bernstein-Sato polynomial under certain hypotheses without which the assertion does not hold. For an explicit calculation we prove a formula for the multiplier ideals of stratified locally conical divisors, generalizing a formula of Mustata for a hyperplan...

The F -thresholds are characteristic p analogs of the jumping coefficients for multiplier ideals in characteristic zero. We give an alternative description of the F -thresholds of an ideal in a regular and F -finite ring R, which enables us to settle two open questions posed in [MTW]. Namely, we show that if the ring is, in addition, essentially of finite type over a field, then the F -threshol...

We consider the stabilization of the wave equation with space variable coefficients in a bounded region with a smooth boundary, subject to Dirichlet boundary conditions on one part of the boundary and linear or nonlinear dissipative boundary conditions of memory type on the remainder part of the boundary. Our stabilization results are mainly based on the use of differential geometry arguments, ...

A general iteration formula of variational iteration method (VIM) for fractional heatand wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional order.The fractional derivative is considered in Jumarie’s sense.The results are more accurate tha...

In this paper, the fir filter is proposed an efficient multiplication stage technique. To investigate the area, speed, power tradeoffs for implementation of FIR filters using MCM and digit-serial arithmetic. Multiple constant multiplications (MCM) are an efficient way of implementing several constant multiplications with the same input data. The coefficients of multiplier are expressed using sh...

We introduce a spectrum for arbitrary varieties. This generalizes the definition by Steenbrink for hypersurfaces. In the isolated complete intersection singularity case, it coincides with the one given by Ebeling and Steenbrink except for the coefficients of integral exponents. We show a relation to the graded pieces of the multiplier ideals by using a relation to the filtration V of Kashiwara ...

-In this paper, we propose an efficient method for rearranging the wavelet packet coefficients of an image to form hierarchical trees, by which the well known SPIHT algorithm can be applied. For images with textures, the high frequency wavelet coefficients are likely to become significant after several code passes of SPIHT, which degrades substantially the coding performance. As a result, the h...