Let V be an n-dimensional vector space over a finite field Fq and P = {1, 2, . . . , n} a poset. We consider on V the poset-metric dP . In this paper, we give a complete description of groups of linear isometries of the metric space (V, dP ), for any poset-metric dP . We show that a linear isometry induces an automorphism of order in poset P , and consequently we show the existence of a pair of...

Abstract We consider two natural gradings on the space of symmetric functions: by degree and length. introduce a differential operator T that leaves components this double grading invariant exhibit basis bihomogeneous functions in which is triangular. This allows us to compute eigenvalues , turn out be nonnegative integers.

In this paper, some elementary operations on triangular fuzzynumbers (TFNs) are defined. We also define some operations on triangularfuzzy matrices (TFMs) such as trace and triangular fuzzy determinant(TFD). Using elementary operations, some important properties of TFMs arepresented. The concept of adjoints on TFM is discussed and some of theirproperties are. Some special types of TFMs (e.g. pu...

In [Gi3] Givental introduced and studied a space of formal genus zero Gromov-Witten theories GW0, i.e. functions satisfying string and dilaton equations and topological recursion relations. A central role in the theory plays the geometry of certain Lagrangian cones and a twisted symplectic group of hidden symmetries. In this note we show that the Lagrangian cones description of the action of th...

We present a family of conforming finite elements for the Stokes problem on general triangular meshes in two dimensions. The lowest order case consists of enriched piecewise linear polynomials for the velocity and piecewise constant polynomials for the pressure. We show that the elements satisfy the inf-sup condition and converges optimally for both the velocity and pressure. Moreover, the pres...

Fine spectra of various matrix operators on different sequence spaces have been examined by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in this article we have determined the spectrum and fine spectrum of the lower triangular matrix   , , ...

Corresponding to each ”rectangular” double product [5] in the form of a formal power series R[h] with coefficients in the tensor product T (L) ⊗ T (L) with itself of the Itô Hopf algebra, we construct ”triangular” elements T [h] of T (L) satisfying ∆T [h] = T [h](1)R[h]T{h](2). In Fock space representations of T (L) by iterated quantum stochastic integrals when L is the algebra of Itô different...

The Space Vector Pulse Width Modulation (SVPWM) is used for three phase bridge Inverter to produce AC output voltage of desired magnitude and frequency. The purpose of controller is to produce regulated output voltage with low distortion under varying load conditions. A triangular carrier based space vector pulse width modulation is developed in MATLAB using Xilinx block set and executed in Fie...

Genetic Algorithms (GAs) emulate the natural evolution process and maintain a population of potential solutions to a given problem. Through the population, GAs implicitly maintain the statistics about the search space. This implicit statistics can be used explicitly to enhance GA’s performance. Inspired by this idea, a statistics-based adaptive non-uniform crossover (SANUX) has been proposed. S...