A comparative workflow, including linear and non-linear QSAR models, was carried out to evaluate the predictive accuracy of models and predict the inhibition activity of a series of aryl-substituted isobenzofuran-1(3H)-ones. The data set consisted of 34 compounds was classified into the training and test sets, randomly. Molecular descriptors were selected using the genetic algorithm (GA) as a f...

todays, dynamic models are supposed as the most important tools in erosion and sediment phenomenadue to their complexities and existence of many affecting factors. towards, the present study wasconducted in the kojour watershed for daily sediment modeling using daily rainfall, discharge andsediment during 2007 to 2010. the modeling process was carried out all data and the monthly andseasonally ...

the purpose of this paper is to studying nonlinear k-ε turbulence models and its advantages in internal combustion engines, since the standard k-ε model is incapable of representing the anisotropy of turbulence intensities and fails to express the reynolds stresses adequately in rotating flows. therefore, this model is not only incapable of expressing the anisotropy of turbulence in an engine c...

Given function values on a domain D0 , possibly with noise, we examine the possibility of extending the function to a larger domain D,D0 ⊂ D. In addition to smoothness at the boundary of D0 , the extension to D \ D0 should also inherit behavioral trends of the function on D0 , such as growth and decay or even oscillations. The approach chosen here is based upon the framework of linear models, u...

It is a well-known theorem in linear models that the idempotency of a matrix is a sufficient and necessary condition for a quadratic form in normal variates to have a chi-square distribution, but its proofs in the early literature were incorrect or incomplete. Driscoll (1999) provided an improved proof, and this article presents a simple proof. More importantly, we establish and prove a general...