In the context of constructive locale or frame theory (locale theory over a fixed base locale), we study some aspects of ’frame distributions’, meaning sup preserving maps from a frame to the base frame. We derive a relationship between results of Jibladze-Johnstone and Bunge-Funk, and also descriptions in distribution terms, as well as in double negation terms, of the ’interior of closure’ ope...

in this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup s . some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. different classes, regular, intra-regular, and simple ordered semigroups are   characterized by means of fuzzy sof...

SDPA (SemiDe nite Programming Algorithm) is a C++ implementation of a Mehrotra-type primal-dual predictor-corrector interior-point method for solving the standard form semide nite program and its dual. We report numerical results of large scale problems to evaluate its performance, and investigate how major time-consuming parts of SDPA vary with the problem size, the number of constraints and t...

Photoacoustic tomography (PAT) is a novel tomographic imaging paradigm that combines the benefits of ultrasound imaging and optical tomography [8]. When a semitransparent sample is illuminated with a short pulse of electromagnetic energy, then parts of the optical energy become absorbed which in turn induces an acoustic pressure wave inside the sample (see Figure 1.1). The induced acoustic pres...

An automated tension infiltrometer including a soil contacting base to which is mounted a porous plate for interfacing the infiltrometer with the soil to be analyzed. A Marriotte column is positioned in the base so that its open bottom end abuts the porous plate. A bubble tower is also positioned in the base and has a bubbling tube operatively connected between its interior and interior of the ...

The interest in minerals at extreme conditions is natural: most of the Earth’s interior exists at high pressures (up to 364 GPa) and temperatures (up to ~6000 K). Studying the behaviour, properties, and structure of Earth-forming materials at such conditions allows one to understand better the properties of the Earth’s interior and provides clues to important geological problems. Experimental s...

Interior error estimates are obtained for a low order finite element introduced by Arnold and Falk for the Reissner– Mindlin plates. It is proved that the approximation error of the finite element solution in the interior domain is bounded above by two parts: one measures the local approximability of the exact solution by the finite element space and the other the global approximability of the ...

In this paper we consider the absolute variation statistics of a composition σ = σ1 · · ·σm of n which is a measure of the sum of absolute differences between each consecutive pair of parts in a composition. This and some related statistics which we discuss, can also be interpreted within the context of bargraph polygons and bargraph walks of area n. In this context, absolute variation correspo...