We analyze the restrictions on distinguishability of quantum states imposed by special relativity. An explicit expression relating the error probability for distinguishing between two orthogonal single-photon states to the time interval T between the beginning of the measurement procedure and the moment when the measurement result is obtained by the observer. Many problems of non-relativistic q...

The analysis of interdecadal physical and biological variability is made challenging by the relative shortness of available time series. It has been suggested that rapid temporal changes of the most energetic empirical orthogonal function of North Pacific sea surface temperature (sometimes called the Pacific Decadal Oscillation or PDO) represents a ‘‘regime shift’’ between states with otherwise...

We introduce an orthogonal body-fitted grid generation technique, and employ a high-order finite difference method to simulate the acoustic wave under the orthogonal curvilinear coordinate system. Compared with the rectangular grid, the orthogonal body-fitted grid can describe the rugged topography more accurately and eliminate the false scattering waves caused by ladder-like mesh effectively. ...

Exceptional orthogonal polynomial systems (X-OPS) arise as eigenfunctions of Sturm-Liouville problems and generalize in this sense the classical families of Hermite, Laguerre and Jacobi. They also generalize the family of CPRS orthogonal polynomials introduced by Cariñena et al., [3]. We formulate the following conjecture: every exceptional orthogonal polynomial system is related to a classical...

This paper espouses the application of orthogonal array experiment to solve a class of engineering optimization problems encountered in systems engineering and architecting. It also illustrates the applicability of orthogonal array experiment in systems engineering and architecting with two examples: verification and validation of the performance of a bandwidth allocation algorithm and architec...

Abshacl This paper proposes , B novel orthogonal hop set partitioning (OHSP) scheme aimed at reducing the collisions between piconets at the hop level, by pariitioning the original Bluetooth hop band into five orthogonal sub-hop sets. To support OHSP, an orthogonal hop sets construction method and enhanced synthesizer structure are presented. In each piconet, the master randomly and independent...