In this paper, we propose the combination of Multi Carrier (MC) OFDM/OQAM modulation and CDMAcalled MC-CDMA-OQAM system with Space Time (ST) coding in a multi user context. This combination takes advantages from multicarrier modulation, spread spectrum and spatial time diversity. Indeed, the use of OFDM has proved its ability to fight against frequency selective channels but the insertion of gu...

We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in [6], and can be applied to any type of grid (without “orthogonality” assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equation...

We study the theory of a Hilbert space H as a module for a unital C∗-algebra A from the point of view of continuous logic. We show this theory, in an appropiate lenguage, has quantifier elimination and it is superstable. We show that for every v ∈ H the type tp(v/∅) is in correspondence with the positive linear functional over A defined by v. Finally, we characterize forking, orthogonality and ...

We study the linear quadratic control problem from a representation-free point of view, and we show that this formulation brings forth two self-contained and original proofs of the optimality of state feedback control laws; these proofs which do not depend on an a priori state-space representation. Moreover, we show an orthogonality property characterizing the set of optimal trajectory of a LQ-...

In this paper we present an adaptive multi-element generalized polynomial chaos (ME-gPC) method, which can achieve hp-convergence in random space. ME-gPC is based on the decomposition of random space and generalized polynomial chaos (gPC). Using proper numerical schemes to maintain the local orthogonality on-the-fly, we perform gPC locally and adaptively. The key idea is to combine the polynomi...

This paper studies the problem of state regulation for uncertain state-space models. It formulates a new weighted game-type cost function with bounds on the sizes of the uncertainties in the data. The cost function is of independent interest in its own right and its optimal solution is shown to satisfy an orthogonality condition similar to least-squares designs. When used in the context of stat...

In this paper, we present a discretization of the time-dependent Schrödinger equation based on a Magnus–Lanczos time integrator and high-order Gauss– Lobatto finite elements in space. A truncated Galerkin orthogonality is used to obtain duality-based a posteriori error estimates that address the temporal and the spatial error separately. Based on this theory, a space-time adaptive solver for th...

A recent distributional approach to wordanalogy problems (Mikolov et al., 2013b) exploits interesting regularities in the structure of the space of representations. Investigating further, we find that performance on this task can be related to orthogonality within the space. Explicitly designing such structure into a neural network model results in representations that decompose into orthogonal...

Orthogonal metric space is a considerable generalization of usual obtained by establishing perpendicular relation on set. Very recently, the notions orthogonality set and are described notable fixed point theorems given in orthogonal spaces. Some for generalizations contraction principle via altering distance functions spaces presented proved this paper. Furthermore, an example to clarify these...

This paper deals with the study of Birkhoff--James orthogonality a linear operator to subspace operators defined between arbitrary Banach spaces. In case domain space is reflexive and finite dimensional we obtain complete characterization. For spaces, same under some additional conditions. an Hilbert H, also L(H), both respect norm as well numerical radius norm.