The contribution of this paper is twofold: (1) to formulate a fusion problem encountered in the design of a multi-modal identity veriication system as a particular classiication problem, (2) to propose a simple classiier to solve this problem. The multi-modal identity veriication system under consideration is built of d modalities in parallel, each one delivering as output a scalar number, call...

For each element X of codimension two of the intersection lattice of a hyperplane arrangement we define a differential logarithmic 1-forms tax with poles along the arrangement. Then we describe the class of arrangements for which forms wX generate the whole module of the logarithmic 1-forms with poles along the arrangement. The description is done in terms of linear relations among the function...

We present a new method of extracting gravitational radiation from three-dimensional numerical relativity codes and providing outer boundary conditions. Our approach matches the solution of a Cauchy evolution of Einstein’s equations to a set of one-dimensional linear wave equations on a curved background. We illustrate the mathematical properties of our approach and discuss a numerical module w...

Let X denote either a vector space over the real numbers R or a module over the integers Z . A symmetric positive definite bilinear form f on X is an inner product if, for any linear form g on X, there exists a unique x ∈ X such that g(y) = f(x, y) for all y ∈ X. This nondegeneracy condition is superfluous whenX is a finite-dimensional vector space [1, 2]. The pair (X, f) is called an inner pro...

Let k be a commutative ring, A a commutative k-algebra and D the filtered ring of k-linear differential operators of A. We prove that: (1) The graded ring grD admits a canonical embedding θ into the graded dual of the symmetric algebra of the module ΩA/k of differentials of A over k, which has a canonical divided power structure. (2) There is a canonical morphism θ from the divided power algebr...

Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic coefficients) on X = C. Let D ⊂ X be a locally weakly quasi-homogeneous free divisor defined by a polynomial f . In this paper we prove that, locally, the annihilating ideal of 1/f over DX is generated by linear differential operators of order 1 (for k big enough). For this...

Suppose that A is a C^*-algebra. We consider the class of A-linear mappins between two inner product A-modules such that for each two orthogonal vectors in the domain space their values are orthogonal in the target space. In this paper, we intend to determine A-linear mappings that preserve orthogonality. For this purpose, suppose that E and F are two inner product A-modules and A+ is the set o...

The synthesis of an elongated linear oligonucleotide-functionalised module (ELOM) is described. The ELOM structure is based on an oligo(phenylene ethynylene) backbone substituted with two decyloxy groups. The two termini constitute two salicylaldehyde moieties acting as chemical cross-linkers. Before incorporation into an oligonucleotide sequence the organic part of the module, the elongated li...

We have numerically implemented a receiver side all-optical signal processing method, i.e. optical backward propagation (OBP), by dispersion compensating fiber (DCF) and non-linear compensator (NLC) devised by effective negative Kerr non-linear coefficient using two highly non-linear fibers (HNLFs). The method is implemented for the post-processing of fiber transmission impairments, i.e. chroma...

Let $R$ be a ring, $sigma$ be an endomorphism of $R$ and $M_R$ be a $sigma$-rigid module. A module $M_R$ is called quasi-Baer if the right annihilator of a principal submodule of $R$ is generated by an idempotent. It is shown that an $R$-module $M_R$ is a quasi-Baer module if and only if $M[[x]]$ is a quasi-Baer module over the skew power series ring $R[[x,sigma]]$.