In this paper, we propose an alternate approach to ad-hoc networking called Best Effort multi-Hop Geographical Routing (BEHGR). BEHGR does not fit under the current classifications of on-demand or table-based approaches to ad-hoc routing, but instead statistically attempts to dynamically route packets to a central location in a “best effort” manner. The basis of such a protocol assumes that a s...

A hitherto neglected form of explanation is explored, especially its role in population genetics. “Statistically abstractive explanation” (SA explanation) mandates the suppression of factors probabilistically relevant to an explanandum when these factors are extraneous to the theoretical project being pursued. When these factors are suppressed, the explanandum is rendered uncertain. But this un...

Service oriented computing o ers a new approach to programming. To be useful for large and diverse sets of problems, e ective service selection and composition is crucial. While current frameworks offer tools and methods for selecting services based on various user-de ned criteria, little attention has been paid to how such services act and interact. Similarly, the patterns of interaction might...

Fortunately, the probability that the process was simply a chance encounter can be calculated, and a minimum threshold of statistical significance can be set. If the results are obtained such that the probability that they are simply a chance process is less than this threshold of significance, then we can say the results have a high probability of not being due to chance. Note that the probabi...

In this paper we present a method for constraining the deformations of Snakes (Active Contour Models) when segmenting a known class of objects. The method we propose is similar to both Active Shape Models (ASM) but without the landmark identification and correspondence requirement, and to Active Contour Models (ACM), but armed with a priori information about shape variation. Rather than represe...

We examine the evidence for the widespread belief that heavy tail distributions enhance the search for minima on multimodal objective functions. We analyze isotropic and anisotropic heavy-tail Cauchy distributions and investigate the probability to sample a better solution, depending on the step length and the dimensionality of the search space. The probability decreases fast with increasing st...

In previous work the framework for a hypercomplex function theory in superspace was established and amply investigated. In this paper a Cauchy integral formula is obtained in this new framework by exploiting techniques from orthogonal Clifford analysis. After introducing Clifford algebra valued surfaceand volume-elements first a purely fermionic Cauchy formula is proven. Combining this formula ...

We describe an explicit connection between solutions to equations Df = 0 (the Generalized Cauchy-Riemann equation) and (D+M)f = 0, where operators D and M commute. The described connection allows to construct a “function theory” (the Cauchy theorem, the Cauchy integral, the Taylor and Laurent series etc.) for solutions of the second equation from the known function theory for solution of the fi...

In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.

Using fixed pointmethods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$