In the poetry of Daud Kamal, water figures as an image mercy, in Quran, and a mirror that reflects divine hidden presence. The rock pool evokes memory Gandhara other foundational civilizations born love creative ferment. Conversely, images drought, heat, dust symbolize parched spiritual order. river, recurring archetypal Kamal’s poetry, represents fluid self is subsumed into collective identity to...

We introduce a new distributional invariance principle, called ‘partial spreadability’, which emerges from the representation theory of Thompson monoid F+ in noncommutative probability spaces. show that partially spreadable sequence random variables is adapted to local Markov filtration. Conversely we large class stationary sequences provides representations F+. In particular case classical spa...

If a K3 surface admits an automorphism with Siegel disk, then its Picard number is even integer between 0 and 18. Conversely, using the method of hypergeometric groups, we are able to construct automorphisms disks that realize all possible numbers. The constructions involve extensive computer searches for appropriate Salem numbers computations algebraic arising from holomorphic Lefschetz-type f...

This article studies the global hypoellipticity of a class overdetermined systems pseudo-differential operators defined on torus. The main goal consists in establishing connections between system and its normal form. It is proved that an obstruction number-theoretical nature appears as necessary condition to hypoellipticity. Conversely, sufficiency approached by analyzing three types hypotheses...

We study K3 surfaces with 9 cusps, i.e. disjoint A 2 configurations of smooth rational curves, over algebraically closed fields characteristic p ? 3 . Much like in the complex situation studied by Barth, we prove that each such surface admits a triple covering an abelian surface. Conversely, determine which order three automorphisms give rise to surfaces. also investigate how cusps hit supersin...

empirical studies have shown that the size distribution of firms can be described as a lognormal or pareto distribution. however, these studies have focused on developed countries and little attention has been devoted to developing countries. using the variable of number of employees as a measure of firm size, this paper investigates the shape of firm size distribution in the food & beverages i...

mixed infection of plants with more than one virus results in different types of interactions. interaction between two recently identified lettuce infecting viruses in iran, lettuce x potexvirus (levx) and rubus chlorotic mottle sobemovirus (rucmv), was studied on co-infected chenopodium murale and chenopodium quinoa plants. plants were mechanically inoculated with either levx, rucmv or both. c...

in vivo microdialysis was used to study the effects of morphine on glutamate release from the ventral tegmentum area (vta) in freely moving rats. intraperitoneal (i.p.) injection of acute and repeated morphine at increasing doses significantly enhanced glutamate release. only a minor tolerance developed to this dosage of morphine. ap-s (2-amino-5-phosphonovaleric acid, 0.5 mg/kg i.p.), a nmda r...

Using a combinatorial approach, we introduce the translated Whitney numbers. This seems to be more natural than to write a product of anarithmetical progression in terms of a power variable and conversely. We also extend our ideas to translated r-Whitney numbers of both kinds and to translated Whitney-Lah numbers.

Artists try to understand how we see, sometimes explicitly exploring rules of perspective or color, visual illusions, or iconography, and conversely, scientists who study vision sometimes address the perceptual questions and discoveries raised by the works of art, as we do here.