On semicontinuous linear lattices

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

Nonconvex, lower semicontinuous piecewise linear optimization

A branch-and-cut algorithm for solving linear problems with continuous separable piecewise linear cost functions was developed in 2005 by Keha et. al. This algorithm is based on valid inequalities for an SOS2 based formulation of the problem. In this paper we study the extension of the algorithm to the case where the cost function is only lower semicontinuous. We extend the SOS2 based formulati...

On linear normal lattices configurations

In this paper we extend Champernowne’s construction of normal numbers in base b to the Z case and obtain an explicit construction of the generic point of the Z shift transformation of the set {0, 1, ..., b−1}Zd . We prove that the intersection of the considered lattice configuration with an arbitrary line is a normal sequence in base b .

Shadows in Linear Lattices

On somewhat fuzzy semicontinuous functions

Ever since the introduction of fuzzy sets by L. A. Zadeh [14], the fuzzy concept has invaded almost all branches of Mathematics. The concept of fuzzy topological space was introduced and developed by C.L. Chang [3] and since then many fuzzy topologists [1,6-13] have extended various notions in classical topology to fuzzy topological spaces. The concept of somewhat continuous functions was intro...