S. P. Franklin and G. V. Krishnarao have defined a point x in a topological space (X, 9~) to be a strong cut point if the set X — {x} has two components. They then show that " a connected and locally connected separable and regular space, in which every point is a strong cut point, is homeomorphic to the real line " [1]. We will show that a separable Hausdorjf space (X, ST) is homeomorphic to t...

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. This includes both double-Compton real-emission contribution as well virtual Compton part. When combined with recent result pair-production section, complete $\alpha^3$ now known. Both next-to-leading calculation are computed using modern multiloop techniques, where cut diagrams ...

In this note, by using the concept of Bipolar-valued fuzzy set, the notion of bipolar-valued fuzzy BCK/BCI-algebra is introduced. Moreover, the notions of (strong) negative s-cut (strong) positive t-cut are introduced and the relationship between these notions and crisp subalgebras are studied.

We introduce the notion ofstrongly $alpha$-reversible rings which is a strong version of$alpha$-reversible rings, and investigate its properties. We firstgive an example to show that strongly reversible rings need not bestrongly $alpha$-reversible. We next argue about the strong$alpha$-reversibility of some kinds of extensions. A number ofproperties of this version are established. It is shown ...

The antennal responses of codling moth females, Cydia pomonella, to volatiles from apple branches with green fruits were recorded by electroantennography coupled to gas chromatography. The antennae strongly responded to 4,8-dimethyl-1,3(E),7-nonatriene, linalool, beta-caryophyllene, (E)-beta-farnesene, germacrene D, (Z,E)-alpha-farnesene, (E,E)-alpha-farnesene and methyl salicylate. These compo...