The polarization emerging in the subsequent scattering processes can never exceed 1 which corresponds to fully polarized pure state. This property is shown be provided by addition rule similar that for relativistic velocities exceeding speed of light. cases spin $1/2$ and are considered. photon linear Thomson monotonically increasing. directness a consequence measurement procedure may particula...

In order to analyse the maximum velocity of parallel maniprdators in operational space, a graphical method based on the analysis of the algebraic inequalities describing the constraints on the kinematics mode[ is presented. We consider a general 6 d. of parallel manipulator and assume that all articrdar velocities are bounded by the same limit. The method is then applied to the Conventional Ste...

We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a onesided variation of the speed and a free final direction of velocity. Using Pontryagin Maximum Principle, we obtain all possible types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.

this study proposed a new discharge estimation method using a mean velocity formula derived from chiu’s 2d velocity formula of probabilistic entropy concept and the river bed shear stress of channel. in particular, we could calculate the mean velocity, which is hardly measurable in flooding natural rivers, in consideration of several factors reflecting basic hydraulic characteristics such as r...

A predictive model for droplet size and velocity distributions of a pressure swirl atomizer has been proposed based on the maximum entropy formalism (MEF). The constraint conditions of the MEF model include the conservation laws of mass, momentum, and energy. The effects of liquid swirling strength, Weber number, gas-to-liquid axial velocity ratio and gas-to-liquid density ratio on the droplet ...

this study proposed a new discharge estimation method using a mean velocity formula derived from chiu’s 2d velocity formula of probabilistic entropy concept and the river bed shear stress of channel. in particular, we could calculate the mean velocity, which is hardly measurable in flooding natural rivers, in consideration of several factors reflecting basic hydraulic characteristics such as ri...

The simplest system in Levermore’s moment hierarchy involving moments higher than second order is the five–moment closure. It is obtained by taking velocity moments of the one–dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum–entropy function. The moment vectors for which a maximum–entropy function exist consequently make up the domain of definition...