On Two of John Leech’s Unsolved Problems concerning Rational Cuboids

Solved and unsolved problems in generalized notions of Connes amenability

We survey the recent investigations on (bounded, sequential) approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We will discuss the core problems concerning these notions and address the signicance of any solutions to them to the development of the eld.

An Infinity Of Unsolved Problems Concerning A Function In The Number Theory AN INFINITY OF UNSOLVED PROBLEMS CONCERNING A FUNCTION IN THE NUMBER THEORY

The Rational View of Product Innovation: A Critical Investigation

This paper seeks to trace some of the roots and problems of the rational view of innovation. Concentrating primarily upon product innovation, we point out that the eighteenth century notion of social progress in the light of reason has gradually given an enormous impetus to a rational view of product innovation in modern organizations. We summarize several decades of research into management of...

Research on None Uniform Rational B-spline Surface and Agent for Numerically Controlled Layout Design

Research on the integrated NC conceptual layout design (I-NCC) concerned with a broader area of interests. The key issues of I-NCC system are associated with NURBS and agent. Firstly, formulas for the derivatives and normal vectors of non-rational B-spline and NURBS are proved based on de BOOR’s recursive formula. Compared with the existing approaches targeting at the non-rational B-spline basi...

On Two Mean Curvature Equations

This paper is an exposition of some results concerning two distinct mean curvature equations which have been obtained recently by the author and others. We also propose some unsolved problems and new questions arising from ours developments.