The use of Lax pair tensors as a unifying framework for Killing tensors of arbitrary rank is discussed. Some properties of the tensorial Lax pair formulation are stated. A mechanical system with a wellknown Lax representation – the three-particle open Toda lattice – is geometrized by a suitable canonical transformation. In this way the Toda lattice is realized as the geodesic system of a certai...

A mathematical model of the total human musculo-skeletal system is presented. The model comprises a link-mechanical and a musculo-mechanical set of ordinary first-order differential equations which deacrihe the dynamics of the segment model and muscle model respectively. The interdependence of the two sets of equations is demonstrated. The set of musculo-mechanical quations contains the two neu...

Transfer learning can address the tasks of unlabeled data in target domain by leveraging plenty labeled from a different but related source domain. A core issue transfer is to learn shared feature space where distributions two domains are matched. This process be named as representation (TRL). Feature transformation methods crucial ensure success TRL. The most commonly used method TRL kernel-ba...

Any cloth simulation system needs efficient numerical methods for integrating the equations that describe the mechanical behavior of the discrete representation of the cloth. Choosing the adequate method should be done with full knowledge of the advantages and weaknesses of the main techniques. This paper presents a quantitative comparison of the efficiency of the most common integration techni...

Mathematical models for pollutant transport in semi-infinite aquifers are based on the advection-dispersion equation (ADE) and its variants. This study employs the ADE incorporating time-dependent dispersion and velocity and space-time dependent source and sink, expressed by one function. The dispersion theory allows mechanical dispersion to be directly proportional to seepage velocity. Initial...