Abstract. A signed binary representation (SBR) of an integer N is a string ab · · · a2a1a0 over the alphabet {−1, 0, 1} such that N = ∑b i=0 ai2 i. An SBR of an integer N is said to be minimal if the number of nonzero digits is minimum. In this paper, we describe a simple 3-close Gray code for listing all minimal SBRs of an integer N . The algorithm is implemented to run in constant amortized t...

We present eecient techniques for the numerical approximation of complicated dynamical behavior. In particular, we develop numerical methods which allow to approximate SBR-measures as well as (almost) cyclic behavior of a dynamical system. The methods are based on an appropriate discretization of the Frobenius-Perron operator, and two essentially diierent mathematical concepts are used: the ide...

1 This is a substantial revision of ‘‘Repeated Games with Imperfect Private Monitoring: Notes on a Coordination Perspective.’’ That paper was written while Mailath was visiting the Australian National University and Morris was visiting Northwestern University: we thank both institutions for their hospitality. We thank Drew Fudenberg, Michihiro Kandori, and two referees for helpful comments. Mai...

The application of MSBR in wastewater treatment including its principal base, operational instruction and technical feature are presented. As a newly developed modified SBR (Sequential Batch Reactor) MSBR has the advantages of both SBR and conventional activated active sludge processes. Both the primary and secondary sedimentation tanks can be omitted and continuous operation with full filling ...

Abstract The performance of Space-Based Radar (SBR) to detect air or ground moving targets is influenced by earth clutter, so an effective algorithm to suppressing clutter can be designed if knowing the power and distribution of earth clutter. In this paper, the clutter model of SBR is deduced. Besides, the earth's rotation effect is taken into account and the modification to Doppler frequency ...

A benchmark for the test of control scenarios of sequencing batch reactors (SBR) used for wastewater treatment is proposed. The plant layout includes a buffer tank for wastewater storage in front of the SBR. Performance criteria based mainly on the quality of the effluent are given. The use of the benchmark is illustrated by the study of the effects on the effluent of the control of dissolved o...

The present work aims to evaluate filamentous bulking control in hybrid systems. For this study, four sequencing batch reactors (SBR) fed with acetate were operated without (SBR1) and with support for biofilm growth [5 % (SBR2), 10 % (SBR3) and 20 % (SBR4) of the reactor volume]. The results demonstrated an overabundance of a filamentous fungi-like microorganism in the SBR operating just with s...

The Heterodyne Instrument for the Far Infrared (HIFI) on board the Herschel Space Observatory is composed of a set of fourteen double sideband mixers. We discuss the general problem of the sideband ratio (SBR) determination and the impact of an imbalanced sideband ratio on the line calibration in double sideband heterodyne receivers. The HIFI SBR is determined from a combination of data taken d...

Tubulin, the dimeric subunit of microtubules, is a major cell protein that is centrally involved in cell division. Tubulin is subject to specific enzymatic posttranslational modifications including cyclic tyrosine removal and addition at the COOH terminus of the alpha-subunit. Tubulin is normally extensively tyrosinated in cycling cells. However, we have previously shown that detyrosinated tubu...