We study neural networks whose only non-linear components are multipliers, to test a new training rule in a context where the precise representation of data is paramount. These networks are challenged to discover the rules of matrix multiplication, given many examples. By limiting the number of multipliers, the network is forced to discover the Strassen multiplication rules. This is the mathema...

a mixing rule for the mixtures of hard-spheres is presented which can be reduced to the standard van der waals mixing rule at low densities. the effectiveness of the mixing rule for the size and energy parameters of lennard-jones fluid are examined by combining them with an equation of state to calculate thermodynamic properties. the results of calculation are compared with the molecular dynami...

The temperature–size rule suggests that there is a negative relationship between the size (volume) of an ectothermic organism and environmental temperature experienced during its development We question how to validate this hypothesis for particular case some algivorous protozoans because in many these unicellular organisms, body directly related consumption prey and, on most occasions, true ce...

4 P&T® • January 2012 • Vol. 37 No. 1 a red rule—is evaluated to determine whether the breach was caused by human error, at-risk behavior, or reckless behavior, regardless of the staff member’s rank, popularity, or importance to the company. Red rules should not be used as a means to discipline workers for breaking particular rules; they should serve as a way to empower the entire workforce to ...