Spherical Tuples of Hilbert Space Operators

We introduce and study a class of operator tuples in complex Hilbert spaces, which we call spherical tuples. In particular, we characterize spherical multi-shifts, and more generally, multiplication tuples on RKHS. We further use these characterizations to describe various spectral parts including the Taylor spectrum. We also find a criterion for the Schatten $S_p$-class membership of cross-commutators of spherical $m$-shifts. We show, in particular, that cross-commutators of non-compact spherical $m$-shifts cannot belong to $S_p$ for $p \le m$. We specialize our results to some well-studied classes of multi-shifts. We prove that the cross-commutators of a spherical joint $m$-shift, which is a $q$-isometry or a $2$-expansion, belongs to $S_p$ if and only if $p > m$. We further give an example of a spherical jointly hyponormal $2$-shift, for which the cross-commutators are compact but not in $S_p$ for any $p <\infty$.Comment: a version close to final on

Program Transformations for Asynchronous and Batched Query Submission

The performance of database/Web-service backed applications can be significantly improved by asynchronous submission of queries/requests well ahead of the point where the results are needed, so that results are likely to have been fetched already when they are actually needed. However, manually writing applications to exploit asynchronous query submission is tedious and error-prone. In this paper we address the issue of automatically transforming a program written assuming synchronous query submission, to one that exploits asynchronous query submission. Our program transformation method is based on data flow analysis and is framed as a set of transformation rules. Our rules can handle query executions within loops, unlike some of the earlier work in this area. We also present a novel approach that, at runtime, can combine multiple asynchronous requests into batches, thereby achieving the benefits of batching in addition to that of asynchronous submission. We have built a tool that implements our transformation techniques on Java programs that use JDBC calls; our tool can be extended to handle Web service calls. We have carried out a detailed experimental study on several real-life applications, which shows the effectiveness of the proposed rewrite techniques, both in terms of their applicability and the performance gains achieved.Comment: 14 page

Demographic and Behavioural Segmentation of Tourist at Pilgrimages in Satara of Maharashtra State

Paper aims to understand demographic and behavioural tourist segmentation at pilgrimage destinations of Satara district. There are places known for pilgrimage however, 3 well-known destinations viz. Aundh, Wai and Sajjangarh are selected for study. Structured schedule executed to interview 97 tourists at tourist sites. Descriptive and Multivariate statistical tools are used i.e. two step cluster analysis to determine the segmentation. Hypotheses proposed to test viz. There is significant difference among the demographic variable of the sample. ANOVA was used to test the hypothesis. The results show that there is significant difference in the demographic variables available in sample data. Based on demographic variables two clusters were sorted and based on behavioural pattern 2 clusters found at Wai and Sajjangarh and 3 at Aundh. Scale of demographic variable cluster quality is just adequate at all pilgrimage centres. However at behavioural based quality scale is poor at Wai, satisfactory at rest of the destination. Demographic profile denote that majority of tourist come from other than Maharashtra, family tourist, Day visitors, repeaters found more and majority have used personal car to visit the sites.. Friends and relatives reference used to know the site

Influence of Waterlogging on Carbohydrate Metabolism in Ragi and Rice Roots

Effect of different durations of waterlogging (4, 8 and 12 days) stress on carbohydrate status and activities of some related enzymes in ragi and rice roots was studied. In both ragi and rice roots there was decrease in starch and total sugar content in response to waterlogging conditions. Activity of α amylase was decrease in ragi roots while opposite trend was noticed in case of rice roots. The activity of pyruvate kinase was markedly increased due to 4, 8 and 12 days waterlogging in ragi roots while such increase was noticed in rice roots due to 12 days stress. Treatment of waterlogging caused enhancement in the activity of alkaline inorganic pyrophosphatase in the roots of both ragi and rice

Extraction, purification and characterization of hyaluronic acid from Rooster comb

Hyaluronic acid, is extract by different procedures from various sources like pig, rabbit, oxes and human are available, but these processes have certain imitations like low yield, and also it requires the killing of these animals which is against the experimental ethics. In the present study, we have carried out the extraction of hyaluronic acid from cock’s comb which was further analyzed with qualitative test, viscosity, UV absorption, endotoxin detection assay. Also, the protein contamination of extracted hyaluronic acid was determined by using SDS-PAGE of hyaluronic acid was studied for checking the protein contaminants and it was noted that there were no bands observed in the well loaded with extracted hyaluronic acid sample indicating that the final extract of hyaluronic acid is not contaminated with the protein. The extraction and purification of hyaluronic acid by using the method reported here give pure hyaluronic acid. The viscosity of extracted hyaluronic acid was found to be 2.55 poise which is economical and can be used for industrial production of hyaluronic acid having clinical application

Certain Generalized Prime elements

In this paper we study different generalizations of prime elements and prove certain properties of these elements

Processing of Sorghum From Different Varieties and Hybrids for Semolina and Their Products

The present study was undertaken with the objective to standardise procedures for preparation of semolina (rava) from sorghum, to identify the best genotype for preparation of semolina and to study the nutritional quality parameters of semolina. For processing of sorghum, ten varieties and five hybrids were used for preparation of semolina and their products. A process has been standardized for semolina preparation using ultra grinding mill from sorghum grain. The semolina yield ranged from 46.51% to 54.29%. Hybrid CSH-15R gave the highest yield of semolina (54.29%). Starch content in semolina ranged from 59.93% to 66.43%. The new genotypes Phule Vasudha, Phule Yashoda and M 35-1 showed higher levels of starch content as compared to the other genotypes. The Phule Vasudha and Selection-3 showed higher levels of total soluble sugars in grains, as well as in semolina than the other genotypes. Phule Maulee gave higher level of crude fibre content (3.12%). The amino acid profile of sorghum grain and semolina showed very minor differences in the content due to the processing of sorghum grains into various products like semolina. The new genotypes of rabi sorghum showed comparable results for the mineral with that of hybrids. The organoleptic properties of the sweet (shira), upama and idali prepared from semolina were judged on the basis of colour, texture and appearance, flavour, taste and overall acceptability of the products using semi-trained judges and 1 to 9 hedonic scales. All products prepared from semolina were like very much and gave highest rating of more than 8 hedonic scales. While considering the yield of semolina from sorghum grains as well as their nutritional composition and organoleptic properties of the niche products (shira, upama, idali) prepared from them, the varieties Phule Vasudha and Phule Yashoda were the best one as compared to the other varieties and hybrids and overall varieties were better than the hybrids