Introduction: The human stature forms part of his or her biological profile. It becomes more important during personal identification in case of mass disasters and in search of missing persons. We measured various parameters of the dried tibia, then by applying linear regression we formulated maximum tibia length which can be conveniently used for arriving at human stature. Methods: The obtain...

This paper studies the risk-averse mean-variance optimization in infinite-horizon discounted Markov decision processes (MDPs). The involved variance metric concerns reward variability during whole process, and future deviations are to their present values. yields a function dependent on mean, this dependency renders traditional dynamic programming methods inapplicable since it suppresses crucia...

We derive loop quantum gravity corrections to the Raychaudhuri equation in interior of a Schwarzschild black hole and near classical singularity. show that resulting effective implies defocusing geodesics due appearance repulsive terms. This prevents formation conjugate points, renders singularity theorems inapplicable, leads resolution for this spacetime.

The iLQG algorithm optimizes trajectories by iteratively constructing locally optimal linear feedback controllers under a local linearization of the dynamics p(xt+1|xt,ut) = N (fxtxt + futut,Ft) and a quadratic expansion of the rewards r(xt,ut) (Tassa et al., 2012). Under linear dynamics and quadratic rewards, the action-value function Q(xt,ut) and value function V (xt) are locally quadratic an...

We consider reduced-order modeling of nonlinear dispersive waves described by a class Schrödinger (NLS) equations. compare two methods: (i) The reduced Lagrangian approach which relies on the variational formulation NLS and (ii) recently developed method solutions (RONS). First, we prove surprising result that, although methods are seemingly quite different, they can be obtained from real imagi...

For the complicated input-output systems with nonlinearity and stochasticity, Deep State Space Models (SSMs) are effective for identifying in latent state space, which of great significance representation, forecasting, planning online scenarios. However, most SSMs designed discrete-time sequences inapplicable when observations irregular time. To solve problem, we propose a novel continuous-time...

We introduce a step transition and state identification (STaSI) method for piecewise constant single-molecule data with a newly derived minimum description length equation as the objective function. We detect the step transitions using the Student's t test and group the segments into states by hierarchical clustering. The optimum number of states is determined based on the minimum description l...

In this study, in order to investigate the lubrication characteristics of the sliding surface of the vane in a rotary compressor, numerical analysis for mixed lubrication has been developed. In this analysis, the modified Reynolds equation and the elastic contact equation, considering the surface roughness, are solved as a coupled problem. Using this analysis, the lubrication characteristics of...