A Less Conservative Stability Criterion for Delayed Stochastic Genetic Regulatory Networks

This paper concerns the problem of stability analysis for delayed stochastic genetic regulatory networks. By introducing an appropriate Lyapunov-Krasovskii functional and employing delay-range partition approach, a new stability criterion is given to ensure the mean square stability of genetic regulatory networks with time-varying delays and stochastic disturbances. The stability criterion is given in the form of linear matrix inequalities, which can be easily tested by the LMI Toolbox of MATLAB. Moreover, it is theoretically shown that the obtained stability criterion is less conservative than the one in W. Zhang et al., 2012. Finally, a numerical example is presented to illustrate our theory

Methyl 3-(cyclo­propyl­meth­oxy)-4-hy­droxy­benzoate. Corrigendum

Corrigendum to Acta Cryst. (2010), E66, o2004

Methyl 3-(cyclo­propyl­meth­oxy)-4-hy­droxy­benzoate

In the title compound, C12H14O4, the dihedral angle between the benzene ring and the cyclo­propyl ring is 60.3 (4)°. In the crystal structure, mol­ecules are linked by inter­molecular O—H⋯O hydrogen bonds into chains running parallel to [101]

Foot type classification for chinese children and adolescents

The objective of this study was to examine the three-dimensional foot shape data and determine foot type’s distribution among Chinese children and adolescents. A total of sixteen three-dimensional foot shape variables of 5,069 Chinese children were measured through filming, including 3 girth-related variables, 3 length- related variables, 2 width-related variables, and 8 height-related variables. Cluster analysis was performed to classify these three-dimensional feet data of Chinese children and adolescents into three identified foot types, namely Robust Feet, Slender Feet, and Flat Feet, which differed in terms of length, volume, and arch height. The distribution of the threefoot types varied across the different foot length groups. The foot types classification may be used in the design of shoe lasts and in the comfortable footwear manufacturing to minimize error fitting