Let \(\Phi \) be a nuclear space, and let '\) denote its strong dual. In this paper, we introduce sufficient conditions for the almost sure uniform convergence on bounded intervals of time sequence '\)-valued processes having continuous (respectively, càdlàg) paths. The main result is formulated first in general setting cylindrical but later specialized to other situations interest. particular,...

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We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised metric on X is a map from X ×X to the upper reals satisfying zero self-distance law and triangle inequality. For a symmetric generalised uniform...

In this paper we propose an extension of grayscale histogram equalization for color images. For aesthetic reasons, previously proposed color histogram equalization techniques do not generate uniform color histograms. Our method will always generate an almost uniform color histogram thus making an optimal use of the color space. This is particularly interesting for pseudo-color scientific visual...

Background: Due to the small size of the beamlets in IMRT (intensity modulated radiotherapy), physical penumbra is one of the important dosimetric parameters and small changes in the penumbra have a notable impact on the results. The physical penumbra width is defined as the lateral distance between two specified isodose curves at a specified depth of phantom. In this study, after demonstrating...

We present new consequences of the assumption that time-bounded algorithms can be “compressed” with non-uniform circuits. Our main contribution is an “easiness amplification” lemma for circuits. One instantiation of the lemma says: if n1+ε-time, Õ(n)-space computations have n1+o(1) size (non-uniform) circuits for some ε > 0, then every problem solvable in polynomial time and Õ(n) space has n1+o...

In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point. In [Co] Cole gave a counterexample to the peak point conjecture by constructing a non-trivial uniform algebra A with co...

Themain purpose of this paper is to introduce a new structure that is a fuzzy TL-uniform space.We show that our structure generates a fuzzy topological space, precisely, a fuzzy Tlocality space. Also, we deduce the concept of level uniformities of a fuzzy TL-uniformity. We connect the category of fuzzy TL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficien...