Each of these examples turns out to be a surface in R 2 or C 2 = R 2 . The trivial group is a single point and the general linear group is an open subset of R 2 or C 2 . The unitary group U(1) is the unit circle S in C = R, and the special orthogonal group SO(2) turns out to be the same thing even though it lives in R. The special unitary group SU(2) is the three dimensional sphere S (even thou...

The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conicting in nature. This paper presents an application of fuzzy goal programming to the linear multiobjective transportation problem. In this paper, we use a special type of nonlinear (hyperbolic and exponential) membership functions to ...

Using the idea behind the Tillich-Zémor hash function, we propose a new hash function. Our hash function is parallelizable and its collision resistance is implied by a hardness assumption on a mathematical problem. Also, it is secure against the known attacks. It is the most secure variant of the Tillich-Zémor hash function until now.