in this paper, we prove the generalized hyers-ulam(or hyers-ulam-rassias ) stability of the following composite functional equation f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) in various normed spaces.

There are two ways to write about a branch of science for an audience of non-scientists; one is to try and make the audience understand the basic principles of the subject, the other is to entertain them by a rapid succession of pieces of information. Steve Jones's latest book falls firmly into the second category. Given that the subject is the biology of the human male, there is of course no s...

Multiple kernel learning aims at simultaneously learning a kernel and the associated predictor in supervised learning settings. For the support vector machine, an efficient and general multiple kernel learning (MKL) algorithm, based on semi-infinite linear progamming, has been recently proposed. This approach has opened new perspectives since it makes the MKL approach tractable for large-scale ...

R y FIGURE 1. Sketch of colliding ux tubes in cross section. The solid lines are the tube boundaries. The radius of the isolated tube is R, the length of the interaction region is L, the y axis is chosen parallel to the contact surface, and is the fractional deformation. 16 y x L V in V in V A V A l 2b FIGURE 2. (a) Sketch of the magnetic ux surfaces of the colliding tubes, projected onto the a...

The in vitro antimicrobial susceptibility of Yersinia enterocolitica and newly related species isolated from foods was examined. Only 4 of 375 isolates displayed resistance to non-ss-lactam antibiotics. MICs of ampicillin and carbenicillin determined by agar dilution with respect to 125 isolates showed the high susceptibility of Y. kristensenii and biovar 3 of Y. enterocolitica to carbenicillin...