We consider the enhancement of SL(2, R) to Virasoro algebra in a system ofN particles on AdS2. We restrict our discussion to the case of non-interacting particles, and argue that they must be treated as fermions. We find operators Ln whose commutators on the ground state, |vac〉, satisfy relations that are reminisent of c = 1 Virasoro algebra, provided N ≥ n ≥ −N . Same relations hold also on th...

Several Digital Signal Processing (DSP) structures based on Residue number systems (RNS) have been proposed in the technical literature. Most of them employ a look up table approach, that is highly space inefficient and slow. In this regard, we propose a memoryless high-speed error detecting FIR filter architecture using 1-out-of-n code for representing the residue numbers. With the use of 1-ou...

We study the highest-weight representation ofN = 2 supersymmetric Schrödinger algebra which appears in non-relativistic superconformal field theories in (1+2) dimension. We define the index for the non-relativistic superconformal field theories and study its properties. As a concrete example, we compute the index for the nonrelativistic limit of N = 6 superconformal Chern-Simons-matter theory r...

The theory of equivalential deductive systems, as introduced by Prucnal and Wroński and further developed by Czelakowski, is abstracted to cover the case of logical systems formalized as π-institutions. More precisely, the notion of an N-equivalence system for a given π-institution is introduced. A characterization theorem for N-equivalence systems, previously proven for N-parameterized equival...

This paper describes a methodformeasuringthe intrinsicparameters of a camera. If aspect ratio is already known, the method requires two images of a plane; if aspect ratio is not known, the method requires three images of the plane. (Equivalently, one image of n planes could be used instead ofn images of one plane). The plane must be marked with four points in known configuration.

A Ni(ClO4)2-catalyzed enantioselective [2 + 2] cycloaddition ofN-allenamides with cyclicN-sulfonylketimines was developed, which regioselectively occurred at the proximal C]C bonds of the N-allenamides. Broad substrate scope of N-allenamides and cyclic N-sulfonylketimines was observed. A range of fused polysubstituted azetidines bearing quaternary stereocenters were afforded in good yields and ...

This paper presents protocol for Kak’s cubic transformation and proposes a modification to DiffieHellman key exchange protocol in order to achieve asymmetric oblivious exchange of keys. The cubic transformation may be used to develop a cryptosystem that is more efficient than Rabin’s cryptosystem. The oblivious key exchange has applications in mutual exchange of secrets and m -out-ofn oblivious...

1Institute of Ecological Chemistry 2Institute of Soil Ecology, Rhizosphere Biology Group, GSF – National Research Center for Environment and Health, Neuherberg, Germany 3Lehrstuhl für Mikrobiologie 4Lehrstuhl für Ökologische Chemie und Umweltanalytik, Technische Universität München, Freising/Weihenstephan, Germany Analysis ofN-acyl-L-homoserine lactones produced by Burkholderia cepaciawith part...

In the present paper, a multihop-multicast cooperative wireless network with one source node, K destination nodes, and M relay clusters each consists ofN decode-and-forward relay nodes is considered. In each hop of transmission a relay having highest value of received signal-to-noise-ratio (SNR) is selected to forward the source’s data. The system is said to be in outage if any one of the desti...