We try to describe compact set in a natural way so that in the discretecase they look like finite sets. The most important observation is what is finite in discrete case that is compact in continuum case which justifies the definition of compact set by the notion of open cover.We then compare the compact sets in ? with compact sets in ametric space with the help of examples to illustrate the roles of Archimedean property and completeness of ? in characterizing the compact sets in ? by Heine-Borel theorem.

Inflammatory disease biomarkers together with microprocessor-based statistical data analysis, bioinformatics, and newer invasive/non-invasive analytical methods have been used to identify individuals with active disease versus refractory pathology versus those having distinguishing pathologies. Sometimes diagnosis relies on cohort of biomarkers rather than a single disease biomarker. The techniques and methods of elucidating a biomarker is complex and unfortunately an inflammatory disease biomarker cannot be readily transferable to other disease states. Thus there is a demand for a focused and comprehensive study in search of universal clinical biomarkers is the urgent need in wide areas of cancer, nutrition, cardiology, endocrinology, immunology, addictions, birth defects, genetics, etc to correlate with their therapeutic applications.

Zinc oxide nanoparticles (ZnO NPs) are increasingly used in many cosmetics (sunscreens, baby powders, antidandruff shampoos etc), biosensors, food additives, pigments, rubber manufacture and electronic materials. With the wide application of ZnO NPs, concern has been raised about its unintentional health and environmental impacts. However, with increasing interest to their potential toxicity, adverse effects of ZnO NPs have been recently studied in vivo. The toxicity was evaluated by observing changes in cell morphology, cell viability, oxidative stress parameters, DNA damage analysis, and gene expression. The NPs show systemic distribution; target organs are liver, spleen, lung, and kidney and, in some cases, the heart. This study investigates how key factors such as size, surface characteristics, dissolution, and exposure routes mediate toxic effects, and describe corresponding mechanisms, including oxidative stress, coordination effects and non-homeostasis effects of ZnO NPs.

Women workers have typically been disadvantaged in the labour markets in developing countries, including India. Data shows considerable inter-state variations in the gendered labour market outcomes. The paper attempts to examine the labourforce participation, employment pattern and status of women in the labour market in West Bengal in the last decade on the basis of available secondary data. It is revealed that although female labourforce participation in West Bengal has been consistently lower than many of the other states of India, there are indications of improvement since 2000. Rural non-farm sector and manufacturing are the predominant sectors employing the highest proportion of women; the share of urban women in regular employment and public sector has been escalating; female wages have been distinctly higher than the all-India average and the gender wage gap in regular salaried workers have been plummeting.

With the emergence of Diaspora writing the feeling of being separated from the root of one's origin has been narrated through the varied stylistics in the works of contemporary writers. The collective stories of Kolkata have emerged like a life force through their writings. In the recent years, non-fictional prose works have also emerged sharing the similar kind of experience which talks about internalization of a city. These are the authors who reflect their first hand experience consciously through their narratives. The paper aims to trace stories of two such authors through their work: Amit Chaudhuri's Calcutta: Two Years in The City and IndrajitHazra's Grand Delusions who has put Calcutta as both a background and the subject of their work continuously trying to connect one with the other, and to frame in, their own specific versions of the city.

In the 19th-20th century an attempt of revisiting Islam was seen all over India. Bengal was also not an exception. There was a splurge of writing about Islam in this period. The intention of the writers was either to prove the superiority of Islam over all other religions or to uphold the spiritual aspect of it. Being inspired by the positivism and scientific awakening of 19th century most of these writers tried to analyze Islam rationally using science as a tool. But they had some severe limitations. They wanted the reason to play a role to understand religion only up to a certain point after which faith will take over. The little known philosopher from Bangladesh Aroj Ali Matubbar (1900-1985) also tried to rationalize Islam but only to make it free from superstitions and for welfare of human being. In this paper we will delve into the matter how he had used science to discuss some religious practices rationally in his book 'Satyer Sandhan' and how his writing is different from the rest of the writers of 19th-20th century.