1 Abstract In order to study circuit complexity classes within NC 1 in a uniform setting, we need a uniformity condition which is more restrictive than those in common use. Two such conditions, stricter than NC 1 uniformity Ru81,Co85], have appeared in recent research: Immerman's families of circuits deened by rst-order formulas Im87a,Im87b] and a uniformity corresponding to Buss' deterministic...

We generalize various notions of generalized metrics even further to one general concept comprising them all. For convenience, we turn around the ordering in the target domain of the generalized metrics so that we speak of similarity instead of distance. Starting from an extremely general situation without axioms, we examine which axioms or additional properties are needed to obtain useful resu...

Here we present the principal ideas and results of [5] with some indications of proof. We introduce the notion of measure-theoretic uniformity, and we describe its use in recursion theory, hyperarithmetic analysis, and set theory. In recursion theory we show that the set of all sets T such that the ordinals recursive in T are the recursive ordinals has measure 1. In set theory we obtain all of ...

The aim of this paper is to study induced (quasi-)uniformities in Kramosil and Michalek's fuzzy metric spaces. Firstly, $I$-uniformity in the sense of J. Guti'{e}rrez  Garc'{i}a and $I$-neighborhood system in the sense of H"{o}hle and u{S}ostak are induced by the given fuzzy metric. It is shown that the fuzzy metric and the induced $I$-uniformity will generate the same $I$-neighborhood system. ...

high efficiency and uniformity of water and fertilizer application are usually, considered as the ultimate goals of an appropriate design and management of irrigation and fertigation systems. the objective followed in this paper was to present a simulation-optimization model for alternate vs. conventional furrow fertigation. two simulation models (surface fertigation and swms-2d models) along w...

introduction: one of the major causes of image non-uniformity in mri is due to the existence of  non-homogeneity in rf receive and transmit. this can be the most effective source of error in  quantitative  studies  in  mri  imaging.  part  of  this  non-homogeneity  demonstrates  the  characteristics of rf coil and part of it is due to the interaction of rf field with the material being  imaged...

There are two important aspects to good injector performance in rocket engines—the atomization performance (droplet size and distribution, for example) and uniformity of operation (even distribution of droplets in time and space). In general, both of these aspects are affected by the geometry and operating conditions of the injector. In studying atomization performance, prior work has largely f...

We return today to property testing and a surprising application of F2 estimation (or equivalently `2-norm approximation) for the problem of testing the closeness to uniform of a probability distribution. We consider discrete distributions on the domain [n]. Each such distribution is given by a probability vector p = (p1, . . . , pn). The uniform distribution U on [n] has Ui = 1/n for all i ∈ [...

UNLABELLED Uniformity testing is performed daily to ensure adequate camera performance before clinical use. The aim of this study is to assess the reliability of Beth Israel Deaconess Medical Center's locally built, centralized, Web-based uniformity analysis system by examining the differences between manufacturer and Web-based National Electrical Manufacturers Association integral uniformity c...

In this thesis, we step inside an unexplored region of Wireless Sensor Networks (WSNs) research. Nowadays, almost all WSNs research relies upon a hidden uniformity assumption. This assumption involves deployment, distribution and radio transmissions. Unfortunately, the real world is not uniform. In the thesis, we break the uniformity assumption and study the non-uniformity influence in WSNs. In...