The paper introduces a new approach based on dual residue system to compute Montgomery multiplication. The novelty of this proposal is that we import an extra Montgomery residue system with new transformation constant beside the normal one. In this way, one of the multiplicand can be divided into two parts and both higher and lower parts are calculated in parallel to speed up computation. Then ...

The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as does the one-hypersurface formulation. The metrical roots of this form are revealed by a conformal " thin sand...

This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet bound...

One of the efficient and most popular technique for designing sharp 1-D linear phase FIR filters is the Frequency Response Masking (FRM) approach. It is an effective method for the design of high speed , low power, sharp FIR digital filters with a small number of non-zero coefficients. Very recently, a modified McClellan transformation(T1 and T2) is proposed (JieCherng Liu and Yang-Lung Tai, 20...

Here, we study strong differential subordinations for the extended new operator IR?,lm defined by Hadamard product of multiplier transformation Im,?,l and Ruscheweyh derivative Rm, on class normalized analytic functions An??={f?H(U×U¯),f(z,?)=z+an+1?zn+1+?,z?U,??U¯}, IR?,lm:An???An??, IR?,lmfz,?=Im,?,l?Rmfz,?.

Digit-serial implementation styles are best suited for implementation of digital signal processing systems which require moderate sampling rates. Digit-serial multipliers obtained using traditional unfolding techniques cannot be pipelined beyond a certain level because of the presence of feedback loops. In this paper, an alternative approach for the design of digit-serial multipliers is present...