the compact gravity inversion including the minimization of moment of inertia has been applied to determine the geometry of anomalous bodies which cause much more depth esolution. the new algorithm is based on lewi's (1996) procedure including the minimum moment of inertia. the method is used with good results to several 3-dimensional synthetic models and real examples. the advantage of us...

The best arguments for the 1/3 answer to the Sleeping Beauty problem all require that when Beauty awakes on Monday she should be uncertain what day it is. I argue that this claim should be rejected, thereby clearing the way to accept the 1/2 solution. 1 Inertia and Sleeping Beauty If on Monday you confidently and rationally believe that Slippery Slim is guilty, and from Monday to Tuesday you ga...

in this paper, we derive the necessary and sufficient conditions for the quaternion matrix equation xa=b to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. futhermore, we consider the maximal and minimal inertias of the least-square bisymmetric solution to this equation. as applications, we derive sufficient and necess...

The modeling of the fluidization or sedimentation velocity a suspension solid particles is revisited by examining experiments conducted in either liquid gas. A general expression found case negligible fluid inertia, i.e. at low Reynolds Archimedes number. It built as product an isolated particle three non-dimensional corrections that each takes into account specific physical mechanism. first co...

We consider principal moments of inertia of axisymmetric, magnetically deformed stars in the context of general relativity. The general expression for the moment of inertia with respect to the symmetric axis is obtained. The numerical estimates are derived for several polytropic stellar models. We find that the values of the principal moments of inertia are modified by a factor of 2 at most fro...

the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

gait rehabilitation using body weight support on a treadmill is a recommended rehabilitation technique for neurological injuries, such as spinal cord injury. in this paper, a new robotic orthosis is presented for treadmill training. in the presented design the criteria such as low inertia of robot components, backdrivability, high safety and degrees of freedom based on human walking are conside...

Humans and humanoid robots are often modeled with different types of inverted pendulum models in order to simplify the dynamic analysis of gait, balance and fall. We have earlier introduced the Reaction Mass Pendulum (RMP), an extension of the traditional inverted pendulum models, which explicitly captures the variable rotational inertia and angular momentum of the human or humanoid. In this pa...