Cockroach antennae have been extensively used for studying the multifunctional sensory appendage that generates the olfactory, gustatory, tactile, thermal, and humidity senses. Of the variety of senses, the tactile sense is thought to play a key role for perceiving physical objects. Because most cockroach species are nocturnal, the tactile sense of the antenna would be essential to determine th...

The significant advance in the boosted fabrication speed and printing resolution of additive technology has considerably increased the capability of achieving product designs with high geometric complexity. The prefabrication computation has been increasingly important and is coming to be the bottleneck in the additive manufacturing process. In this paper, the authors devise an integrated compu...

This paper discusses two violations of utility theory that can arise with some common multi-criteria hierarchical weighting methods when employed for selection of the best of several alternatives considering multiple criteria. First, these hierarchical weighting methods are found to violate utility theory's principle of independence of irrelevant alternatives. Proof of this violation is made by...

the purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multi-step iterative algorithmwith errors for a finite family of generalized asymptotically quasi-nonexpansivemappings to converge to common fixed points in banach spaces. our resultsextend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,11, 14, 19]).

In this paper we study the complexity of finding approximate Nash equilibria in multi-player normal-form games. First, for any constant number n, we present a polynomial-time algorithm for computing a relative ( 1− 1 1+(n−1)n ) -Nash equilibrium in arbitrary nplayer games and a relative ( 1− 1 1+(n−1)n−1 ) -Nash equilibrium in symmetric n-player games. Next, we show that there is an additive ε-...

‎In this paper‎, ‎using fixed point method‎, ‎we prove the generalized Hyers-Ulam stability of‎ ‎random homomorphisms in random $C^*$-algebras and random Lie $C^*$-algebras‎ ‎and of derivations on Non-Archimedean random C$^*$-algebras and Non-Archimedean random Lie C$^*$-algebras for‎ ‎the following $m$-variable additive functional equation:‎ ‎$$sum_{i=1}^m f(x_i)=frac{1}{2m}left[sum_{i=1}^mfle...

in most of the multi-criteria decision making problems, it is important to have necessary information about relative importance of each criteria. in this group of problems, weights measure the relative importance of preferences of each criteria in comparison with the other decision making criteria. in this research, the nise method has been used for mapping mean-variance efficient frontier. nis...

How to describe the data mapping relations between multi-XML documents and automatically achieve mapping operation is one of the key problems of the web based XML data exchange platform. An engine of data mapping based on multi-XML documents, named MXDME, is designed and realized in this paper, which is the key part of the e-Government Interoperability Platform and has been turned into operatio...