We derive least-change updates of linear mappings that approximate derivatives of functions defined on abstract vector spaces; these correspond to well-known matrix updates. Our approach has the value ...

Application of tools from differential geometry and Lie groups to problems in dynamics, controllability, and motion planning for mechanical systems, particularly with non-Euclidean configuration ...

In the previous studies, the notion of antisymmetrically connected T₀-quasi-metric space is described as a type of the connectivity in the framework of asymmetric topology. Actually, the theory of ...

Application of tools from differential geometry and Lie groups to problems in dynamics, controllability, and motion planning for mechanical systems, particularly with non-Euclidean configuration ...