The major part of the difference between the zero-point and equilibrium moment of inertia of a molecule is a homogeneous function of degree 12 in the atomic masses. The use of explicit mathematical models of is studied here as a means of determining near-equilibrium molecular structures from the zero-point moments of inertia of a range of isotopomers. It is found that models with more than two ...

The exact controllability to the origin for linear evolution control equation is considered.The problem is investigated by its transformation to infinite linear moment problem. Conditions for the existence of solution for infinite linear moment problem has been obtained. The obtained results are applied to the zero controllability for control evolution equations.

A review of recent developments in the study of the Zero Point Energy (ZPE) is made. The origin and behavior of the electromagnetic fields making up the vacuum ZPE is elucidated. From this it is deduced that the ZPE should increase with time even in a static universe such as Narliker and Arp propose. The small oscillations that a static cosmos undergoes will add a variable component to the over...

This section closely follows Ciliberto and Tamer (2009) (henceforth CT), and we refer to that paper for further reading. We provide a set of sufficient conditions that guarantee point identification of the model parameters in equation (1) in the main text. These conditions are natural in this context and rely on large support regressors. Our inference methods do not require that these condition...

The focus of this paper is the problem of foot rotation in biped robots during the single-support phase. Foot rotation is an indication of postural instability, which should be carefully treated in a dynamically stable walk and avoided altogether in a statically stable walk. We introduce the foot-rotation indicator (FRI) point, which is a point on the foot/ground-contact surface where the net g...