Bellman studies

June et al. (85) presented united-atom calculations for butane and for hexane in silicalite, whereby the bond and dihedral angles of the alkanes were allowed to vary. In addition, the calculation of hexane took account of an additional intramolecular Lennard-Jones potential for nonbonded atoms more than three bonds apart (which prevents the alkane crossing over itself). The interaction parameters for the alkane molecules were taken from Ryckaert and Bellmans (3), and those governing the interaction of the alkanes with the zeolite from a previous study of the low-occupancy sorption of alkanes in silicalite (87). Variable loadings of alkanes were considered from 1 to 8 molecules per unit cell were considered, and calculations were allowed to run for 500 ps for diffusion at 300 K. 

The breakup parameter, Kbu, in the bag breakup and the stripping breakup regime is proportional to the characteristic breakup frequencies suggested by [5]. The characteristic breakup frequency for the catastrophic breakup regime is derived from the study of the RT instability by Bellman and Pennington [21] as reported by Patterson and Reitz [11]. The constant k = 0.05 has been determined such that the drop radii match the phase Doppler measurements of Schneider [22], whereas the values for the constants ki and k are chosen such that Kbu is continuous at the regime-dividing Weber numbers, Web,s and Wcg c-... 

Despite the long-term successful apvplication of the affine scaling method to the MElS-based thermodynamic analysis, extension of this analysis and primarily its extension to the studies on kinetics call for the use of dynamic programming (DP) (Bellman, 2003 Wentzel, 1964). In this context it implies not only the method of stepwise decision making, but a part of mathematical programming as the mathematical theory of equilibrium extreme states. For... 

Fuzzy set theory was firstly proposed by Zadeh [27] via membership function in 1965. In 1970, Bellman and Zadeh [28] published a paper Decision-Making under Fuzzy Environment in Management Science which is a pioneer in the domain. From then on, many researchers have devoted to this study and consequentiy gready promoted its evolution. Liu and Liu [29] presented the concept of credihUily measure in 2002 and then Li X. and Liu B. refined the concept of credihUily measure later [30]. Based on his research, Liu B. further proposed uncertain theory [22]. 

Worldwide constipation is a common problem in children. Estimated prevalence rates have varied from 4 to 37% (Yong et al. 1998 Van der wal et al. 2005 De Araujo Sant Anna and Calcado 1999 Zaslavsky et al. 1988, Maffei et al. 1997). Constipation may vary from mild and short-lived to severe and chronic and is sometimes associated with fecal and urinary incontinence, urinary tract infections and abdominal pain. The prevalence of fecal incontinence ranges in children from about 0.3% to 8% (Van der Wal et al. 2005 Bellman 1966 Howe and Walker 1992). In a study by Loening Baucke (2006), a prevalence rate of 22.6% for constipation, 4.4% for fecal incontinence and 10.5% for urinary incontinence in a US primary care clinic was found. In this study on 482 children the fecal incontinence was coupled with constipation in 95% of their children. From the 10.5% prevalence rate for urinary incontinence, 3.3% were found for daytime only, 1.8% for daytime with nighttime and 5.4% for nighttime urinary incontinence. And it was concluded that fecal and urinary incontinence was significantly more commonly observed in constipated than non-constipated children. 

Bellman M (1966) Studies on encopresis. Acta Paediatr Scand 170 1-151... 

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