What does it mean to study PDE (Partial Differential Equation)? How and what to do “to claim proudly that I’m studying a certain PDE”? Newton mechanic uses mainly ODE (Ordinary Differential Equation) and describes ...
Let S be an inverse AG-groupoid (Abel-Grassmann groupoid) and define a relation γ on S by aγb if and only if there exist some positive integers n and m such that bm∈ (Sa)S and an∈ (Sb)S. We prove that S/γ i...
supported by National Natural Science Foundation of China(Grant No.51135008);National Basic Research Program of China(973 Program,Grant No.2013CB035400);China Postdoctoral Science Foundation(Grant Nos.2012M520256,2013T60107)
Many methods are proposed to deal with the type synthesis of parallel kinematic mechanisms(PKMs), but most of them are less intuitive to some extent. Thus, to propose a concise and intuitive type synthesis method fo...
It is well known that the line of intersection of an ellipsoid and a plane is an ellipse. In this note simple formulas for the semi-axes and the center of the ellipse are given, involving only the semi-axes of the ell...