Calculating the permanent of a (0, 1) matrix is a #P -complete problem but there are some classes of structuredmatrices for which the permanent is calculable in polynomial time. The most well-known example is the fixed-jump (0, 1) circulant matrix which, using algebraic techniques, was shown by Minc to satisfy a constant-coefficient fixed-order recurrence relation. In this note we show how, by ...

The transfer-matrix methodology is frequently used to deal with elastic scattering problems that require a solution of the Schrödinger or homogeneous Maxwell equations in the continuous part of their spectra. In its basic formulation, this technique however reveals limited by numerical instabilities, which can be drastically reduced by application of the layer addition algorithm. By providing e...

An analytic expression of transmittance based on the Airy wavefunctions approach has been derived for an electron through an anisotropic heterostructure with an applied voltage to the barrier of the heterostructure. The Si(110)|Si0.5Ge0.5|Si(110) heterostructure was used to examine the analytic expression. In order to evaluate the Airy wavefunctions approach, the transfer matrix method, which i...

The use of transfer-matrix analyses for characterizing planar optical superlensing systems is studied here, and the simple model of the planar superlens as an isolated imaging element is shown to be defective in certain situations. These defects arise due to neglected interactions between the superlens and the spatially varying shadow masks that are normally used as scattering objects for imagi...

The macroscopic load-bearing capability of a composite is directly related to the strain partitioning due to load transfer between the component phases. Using neutron diffraction, the elastic mean phase strains were measured during in-situ loading of a Cu-15 vol pct Mo particulatemetal-matrix composite (MMC) at 25 8C, 300 8C, and 350 8C. The degree of load sharing at each temperature was compar...

We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model onto a 1-dimensional spin model. The matrix elements of the effective transfer matrix can be dete...

barley (hordeum vulgare l.) is a model plant, as genetic and physiological studies are concerned. abiotic stresses such as drought adversely affect the growth of plants. the objective of this experiment was to identify the responsive genes to osmotic stress, using macroarray (covering 13050 genes). rna was extracted from 5 barley genotypes in stress as well as in normal conditions at 3 times of...

The integrable quantum group splq(2, 1)-invariant supersymmetric t–J model with open boundaries is studied via an analytic treatment of the Bethe equations. An su(2) feature is seen to hold for states at or close to half-filling. For these states the eigenvalues of the transfer matrix of the t–J model satisfy a set of su(2) functional relations. The finite-size corrections to the relevant eigen...

In this paper we consider a linear system that in addition to a control input and a measurement output has k exogenous inputs and k exogenous outputs. We assume that the system is controlled by means of a linear measurement feedback compensator. The resulting closed loop system has k exogenous input and k exoge-nous outputs and we assume that its transfer matrix is partitioned accordingly as a ...