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Journal of Basic & Applied Sciences

Fourier Coefficients of a Class of Eta Quotients of Weight 14 with Level 12
Pages 454-483
Barış Kendirli

DOI: http://dx.doi.org/10.6000/1927-5129.2015.11.64

Published: 19 August 2015

Open Access

Abstract:  Recently, Williams [1] and then Yao, Xia and Jin [2] discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of 1 and 2 and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of 3 and 4 . Here, by using the method of proof of Williams, we will express the even Fourier coefficients of 196 eta quotients i.e., the Fourier coefficients of the sum, f(q)+f(-q), of 196 eta quotients in terms of 5 and 6.

Keywords: Dedekind eta function, eta quotients, Fourier series.

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Fractal Functions of Discontinuous Approximation
Pages 173-176
M.A. Navascués

DOI: http://dx.doi.org/10.6000/1927-5129.2014.10.24

Published: 23 May 2014

Open Access

Abstract: A procedure for the definition of discontinuous real functions is developed, based on a fractal methodology. For this purpose, a binary operation in the space of bounded functions on an interval is established. Two functions give rise to a new one, called in the paper fractal convolution of the originals, whose graph is discontinuous and has a fractal structure in general. The new function approximates one of the chosen pair and, under certain conditions, is continuous. The convolution is used for the definition of discontinuous bases of the space of square integrable functions, whose elements are as close to a classical orthonormal system as desired.

Keywords: Discontinuous Functions, Interpolation, Approximation, Functional Spaces, Fractals.
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Gender Differences in Nicotine Induced Dyslipidemia and Hyperglycemia in Mice
Pages 33-38
Samina Bano and Shabana Saeed

DOI: http://dx.doi.org/10.6000/1927-5129.2014.10.05

Published: 20 January 2014

Open Access

Abstract: The purpose of this study is to examine the prevalence of metabolic syndrome in nicotine treated male and female mice and to evaluate gender related differences. For these purposes adult male and female BALB/C mice were subjected to chronic nicotine treatment (3.08mg/100ml in drinking water) for 4 weeks. Serum glucose, albumin, corticosterone and lipid profile levels were determined. Body weight changes were also monitored. We have found that nicotine treatment raises total cholesterol and glucose levels more in male as compared to female mice. Low density lipoprotein cholesterol (LDL-C) levels were increased by 35% (P<0.01) only in male mice. However rise in triglycerides were greater in females (28%) than males (21%) when compared with their respective controls. Serum albumin levels were increased in both sexes showing 13% greater increase in males as compared to females. However nicotine treatment had no effect on high density lipoprotein cholesterol, corticosterone levels and body weights in both genders. It is concluded that nicotine use is positively associated with LDL-C in males; the results are discussed in relation to prevalence of metabolic syndrome andrisk of cardiovascular events in nicotine users.

Keywords: Cholesterol, lipid profile, metabolic syndrome, corticosterone, nicotine, mice.
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Gain Study of an Edge Emitting Laser for Optical Fiber Communication System
Pages 223-22588x31
Faten Adel Ismael Chaqmaqchee
DOI: http://dx.doi.org/10.6000/1927-5129.2016.12.33

Published: 12 May 2016

Abstract: In this work, an optical gain around 1 dB of an edge emitting laser (EEL) has been obtained applying threshold current of 22 mA. The conventional device lased at around 1.3 µm with 0.3 nm stripe width at room temperature. The device was also characterised through output light-voltage-current using current-temperature (I-T) controllers and optical spectrum analyser (OSA). ConventionalEEL isactually a form of semiconductor lasers that propagates the light in a direction along the wafer surface of laser chip and their emitted light is reflected at a cleaved edge. The cleaved facets of the device acts as mirrors, reflecting photons back into the resonator and the stimulated emission occurs within cavity region forgain achievement..

Keywords: Conventional laser, band width, optical fiber, threshold current, tunable laser.
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Gene Ontology Tools: A Comparative Study
Pages 619-629
Muhammad Shahzad, Kamran Ahsan, Adnan Nadeem and Muhammad Sarim

DOI: http://dx.doi.org/10.6000/1927-5129.2015.11.83

Published: 11 December 2015

Open Access

Abstract: Gene ontology (GO) is a key initiative of bioinformatics to provide uniform description of gene product in different public databases. The GO project has initiated 3 (three) structured and organized controlled vocabularies (i.e. ontology) that describes gene products in term of cellular components, biological processes and functions in an independent of species. This resource saves lots of time and effort in finding information of any particular gene from different databases. Since 1998, many tools have been developed which at one end relieves the researchers to search particulars about gene products but at other end makes difficult to opt most appropriate tool for any certain investigation in gene ontology. Here we present the state-of-the-art web based GO tools currently used for biological ontologies. We adopt comparison methodology in conjunction with visualization capabilities and sources of annotation data. This paper considers three GO tools for the said purpose. In Visualization capabilities; Indented List, Node-link & tree and Zoomable capabilities of selected tools have been analyzed. In the data sources section; currently available sources for data annotation have been discussed. This review will facilitate potential users of the GO tools to select an appropriate tool for their need.

Keywords: Gene Ontology, Knowledge Representation, Visualization, Data Annotation.
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