Some local theorems on approximation [Lecture]

Approximation theorems on some classes of automata

This paper considers a machine as a pair (G5M) where G is a group or a semi group and where M is a state space. The first part of the paper called reversible-state machines considers the case where G is a locally compact group and M is any locally compact group and M is any locally compact space. The essential requirement is that (x,p)~>x(p) be continuous where XGG, peM and x(p)eM; i.e., we req...

Some approximation theorems via � - convergence Mustafa

The concept of -convergence was introduced in [P. Schaefer, Proc. Amer. Math. Soc. 36(1972)104-110] by using invariant mean.In this paper we apply this method to prove some Korovkin type approximation theorems. [Mustafa Obaid. Some approximation theorems via -convergence. Life Sci J 2012;9(4):1527-1530] (ISSN:10978135). http://www.lifesciencesite.com. 231

On local nature of some classical theorems on Hamilton cycles

Some Theorems on the Lattice of Local Interpretability Types

In [4] J. MYCIELSKI introduced a very general notion of multidimensional local interpretability of first ordet theories. If we definethe relation ~ between theories T, S by T~ S iff Tis multidimensionaly locally interpretable in S, then ~is a. preordering. The induced partia.l ordering is a la.ttice ordering, it is called tke lattice of local interpretability iypes. We consider theories formali...

Lecture 15: Surface Integrals and Some Related Theorems

Reappraise the simplest integration operation, g(x) = ∫ f(x)dx. Temporarily ignore all the tedious mechanical rules of finding and integral and concentrate on what integration does. Integration replaces a fairly complex process—adding up all the contributions of a function f(x)— with a clever new function g(x) that only needs end-points to return the result of a complicated summation. It is per...