We present the results of 4 simultaneous observations of Cygnus X-1 by Ginga and OSSE. The X-ray/γray spectra can be described by an intrinsic continuum and a component due to Compton reflection including an iron Kα line. The intrinsic spectrum at X-ray energies is a power-law with a photon spectral index of Γ = 1.6. The intrinsic γ-ray spectrum can be phenomenologically described by either a p...

In this paper we deal with the problem of controlling timed continuous Petri nets in order to reach a nal steady state con guration while minimizing a quadratic performance index The formulation of a discrete time linear positive model with dynamic or state based constraints on the control input enables us to design a state feedback control law based on explicit model predictive control eMPC Th...

Using Monte Carlo methods to simulate the inverse Compton scattering of soft photons, we model the spectrum of the Galactic black hole candidate Cyg X-1, which shows evidence of a nonthermal tail extending beyond a few hundred keV. We assume an ad hoc sphere of leptons, whose energy distribution consists of a Maxwellian plus a high energy power-law tail, and inject 0.5 keV blackbody photons. Th...

In a companion paper, the authors obtained some Fubini type identities in law for quadratic functionals of Brownian motion, and, more generally, for certain functionals of symmetric stable processes, the function: x -* x2 then being replaced by: x e IxIa. In this paper, discrete analogues of such identities in law, which involve a sequence of independent standard symmetric stable r.v.'s of inde...

A Generalized Minimum Variance control law is derived for the control of nonlinear, possibly time-varying multivariable systems. The solution for the control law is original and was obtained in the time-domain using a simple operator representation of the process. The quadratic cost index involves both error and control signal costing terms. The controller obtained is simple to implement and in...

Introduction For many years, Western Michigan University Thomas M. Cooley Law School admitted students based on either of two alternatives: (1) the applicant’s LSAT score alone or (2) the student’s Cooley Admissions Index, which is the sum of the applicant’s undergraduate grade point average multiplied by 15, plus the applicant’s LSAT score. In mathematical terms, the index is expressed by the ...

Two separate statistical tests are applied to the AGASA and preliminary Auger Cosmic Ray Energy spectra in an attempt to find deviation from a pure power-law. The first test is constructed from the probability distribution for the maximum event of a sample drawn from a power-law. The second employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power...

The Public Schools Accountability Act of 1999 was the outcome of SB 1 sponsored by Dede Alpert and signed into law by Governor Gray Davis in March of 1999. This law mandates the ranking of all California public schools based on their Academic Performance Index (API). The law also establishes annual growth targets for each school. Schools that meet their growth targets will be eligible for finan...

This paper presents a systematic approach to designing a naïve quantized control law that combines a regular round-to-nearest quantizer with a closed-loop dynamic system to generate a coarsely quantized control force for reference tracking. The naïve quantized control law is derived from minimizing an instantaneous absolute value of a performance-index signal. The stability and performance of t...

The prediction of movement time in human-computer interfaces as undertaken using Fitts' law is reviewed. Techniques for model building are summarized and three refinements to improve the theoretical and empirical accuracy of the law are presented. Refinements include (1) the Shannon formulation for the index of task difficulty, (2) new interpretations of "target width" for twoand three-dimensio...