A S is isometri-cally isomorphic to the second dual of F S. For unbounded selfadjoint operators S the paper establishes the full analogy with the bounded case: A S is isometrically isomorphic to the second dual of F S. The paper also classiies the algebras A S and F S up to isometrical *-isomorphism and obtains some partial results about bounded but not necessarily isometrical

This paper presents a modified nine switch inverter with two inputs and two Z-source networks. This inverter has two DC inputs and two AC outputs. Input DC voltages can be boosted to the required level. Amplitude, frequency and phase of AC output voltages can be controlled, independently. The proposed converter can be used in applications with two unregulated DC sources, which require feeding ...

A novel perturbation approach using additional metalized via-holes for implementation of the dual-band or wide-band dual-mode substrate integrated waveguide (SIW) filters is proposed in this paper. The independent perturbation on the first resonant mode TE101 can be constructed by applying the proposed perturbation approach, whereas the second resonant mode TE102 is not affected. Thus, new kind...

This paper examines the problematization of cultural issues related tothe dual spacization of life. The emergence of the second space of lifeover the first place of life combining local and translocal, national andtransnational capacities and challenges. We discuss the capacities andopportunities occurring through the instant communication industrywhich made the spontaneous connection between a...

In this paper we solve a wide rang of Semidefinite Programming (SDP) Problem by using Recurrent Neural Networks (RNNs). SDP is an important numerical tool for analysis and synthesis in systems and control theory. First we reformulate the problem to a linear programming problem, second we reformulate it to a first order system of ordinary differential equations. Then a recurrent neural network...

introduction:  the  advent  of  dual-modality  pet/ct  scanners  has  revolutionized  clinical  oncology  by  improving lesion localization and facilitating treatment planning for radiotherapy. in addition, the use of  ct images for ct-based attenuation correction (ctac) decreases the overall scanning time and creates  a noise-free  attenuation  map  (6map).  ctac  methods  include  scaling,  s...

Homogeneous self-dual algorithms for stochastic semidefinite programs with finite event space has been proposed by Jin et al. in [12]. Alzalg [8], has adopted their work to derive homogeneous self-dual algorithms for stochastic second-order programs with finite event space. In this paper, we generalize these two results to derive homogeneous self-dual algorithms for stochastic programs with fin...

We present the mean value cross decomposition algorithm and its simple enhancement for the two-stage stochastic linear programming problem with complete recourse. The mean value cross decomposition algorithm employs the Benders (primal) subproblems as in the so-called “L-shaped” method but eliminates the Benders master problem for generating the next trial first-stage solution, relying instead ...

We study operators in four-dimensional gauge theories which are localized on a straight line, create electric and magnetic flux, and in the UV limit break the conformal invariance in the minimal possible way. We call them Wilson-’t Hooft operators, since in the purely electric case they reduce to the wellknown Wilson loops, while in general they may carry ’t Hooft magnetic flux. We show that to...

New gaugings of four dimensional N = 8 supergravity are constructed, including one which has a Minkowski space vacuum that preserves N = 2 supersymme-try and in which the gauge group is broken to SU(3) × U(1) 2. Previous gaugings used the form of the ungauged action which is invariant under a rigid SL(8, R) symmetry and promoted a 28-dimensional subgroup (SO(8), SO(p, 8 − p) or the non-semi-sim...