n the late 1990s, the U.S. Army’s Yuma Proving Ground (YPG) adapted wireless local area network technologies to provide test data acquisition over a large portion of that test range. YPG implemented a ground-based infrastructure that supplies two-way wireless network connectivity and seamless data acquisition for multiple, simultaneous test activities and data sources. YPG and APL, under the Tw...

We study the following local-to-global phenomenon: Let B and R be two finite sets of (blue and red) points in the Euclidean plane R. Suppose that in each “neighborhood” of a red point, the number of blue points is at least as large as the number of red points. We show that in this case the total number of blue points is at least one fifth of the total number of red points. We also show that thi...

We show that the theorem of Ellenberg and Venkatesh on representation of integral quadratic forms by integral positive definite quadratic forms is valid under weaker conditions on the represented form. In the article [5] Ellenberg and Venkatesh prove that for any integral positive definite quadratic form f in n variables there is a constant C(f) such that integral quadratic forms g of square fr...

Using the framework introduced by Rowley and Colonius [14] we construct a discretely non-reflecting boundary condition for the one-way wave equation spatially discretized with an explicit fourth order centered difference scheme. The boundary condition, which can be extended to arbitrary order accuracy, is shown to be GKSstable. We continue by deriving discretely non-reflecting boundary conditio...

In this paper we prove controllability results for mild solutions defined on a compact real interval for first order differential evolution inclusions in Banach spaces with non-local conditions. By using suitable fixed point theorems we study the case when the multi-valued map has convex as well as non-convex values.

We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an...

In the theory of dynamic programming (DP) the elimination of non-optimal actions is an important topic. For many DP problems the calculation is slow and action elimination helps to speed up the calculation. A great part of this thesis is dedicated to the development of action elimination procedures for various classes of DP problems. Common to all these action elimination procedures is that the...

We present a general necessary and sufficient criterion for the possibility of a state transformation from one mixed Gaussian state to another of a bipartite continuous-variable system with two modes. The class of operations that will be considered is the set of local Gaussian completely positive trace-preserving maps.

Erythropoietin stimulating agents had a long haul in Lithuania--we had no epoetin till 1994 and there was no intravenous iron in 2001-2004. The aim of this study was to assess the changes of renal anemia control in hemodialysis patients from early independence of Lithuania till nowadays and to evaluate the link of anemia with hospitalization rates and survival and hemoglobin variability in asso...

We show in some lower-dimensional supergravity models that the holographic counterterms which are needed in the AdS/CFT correspondence to make the theory finite, coincide with the counterterms that are needed to make the action supersymmetric without imposing any boundary conditions on the fields.