Some Contour Integrals Involving Generalised Hypergeometric Function

Contour integral involving Fox's H-function and modified Bessel function of the first kind has been calculated. Some important properties and particular cases of H-function, which is a generalization of G-function, have been derived and discussed

Marine Middle Eocene Otoliths from India and Java

Otoliths collected from the Harudi Formation (Lutetian) of Kachchh, Western India and from the Nanggulan Formation (Early Bartonian) of Nanggulan, Java, revealed the presence of respectively 15 and 24 teleost taxa. Seven new species are introduced: "genus Brotulinarum" siremboides, Apogon townsendoides, "genus Apogonidarum" altissimus, Lactarius nonfungus, "genus Menidarum" occultus, "genus Percoideorum" pseudatherina and "genus Percoideorum" sciaenoides. Both associations reveal very shallow neritic environments. They are compared with a previously described neritic Middle Eocene otolith association from central Western Pakistan, and a combined list of all (43) taxa represented in the three associations is provided. Considering the restricted sampling, the number (8) of taxa occuring at more than one locality is remarkable, and one can probably conclude that we sampled several of the most common and widespread teleosts inhabiting the neritic environments of the Indo-West-Pacific region during the Middle Eocene. Biogeographic evaluation of the available data leads to the conclusion that in the Eocene, the Indo-West-Pacific region was already inhabited by many fish taxa not represented elsewhere, and that probably it contained the most diverse fish community of the world, as it does today

Domain wall dynamics in a single CrO2_2 grain

Recently we have reported on the magnetization dynamics of a single CrO$_2$ grain studied by micro Hall magnetometry (P. Das \textit{et al.}, Appl. Phys. Lett. \textbf{97} 042507, 2010). For the external magnetic field applied along the grain's easy magnetization direction, the magnetization reversal takes place through a series of Barkhausen jumps. Supported by micromagnetic simulations, the ground state of the grain was found to correspond to a flux closure configuration with a single cross-tie domain wall. Here, we report an analysis of the Barkhausen jumps, which were observed in the hysteresis loops for the external field applied along both the easy and hard magnetization directions. We find that the magnetization reversal takes place through only a few configuration paths in the free-energy landscape, pointing to a high purity of the sample. The distinctly different statistics of the Barkhausen jumps for the two field directions is discussed.Comment: JEMS Conference, to appear in J. Phys. Conf. Se

Symplectic hypergeometric groups of degree six

Our computations show that there is a total of $40$ pairs of degree six coprime polynomials $f,g$ where $f(x)=(x-1)^6$, $g$ is a product of cyclotomic polynomials, $g(0)=1$ and $f,g$ form a primitive pair. The aim of this article is to determine whether the corresponding $40$ symplectic hypergeometric groups with a maximally unipotent monodromy follow the same dichotomy between arithmeticity and thinness that holds for the $14$ symplectic hypergeometric groups corresponding to the pairs of degree four polynomials $f,g$ where $f(x)=(x-1)^4$ and $g$ is as described above. As a result we prove that at least $18$ of these $40$ groups are arithmetic in $\mathrm{Sp}(6)$. In addition, we extend our search to all degree six symplectic hypergeometric groups. We find that there is a total of $458$ pairs of polynomials (up to scalar shifts) corresponding to such groups. For $211$ of them, the absolute values of the leading coefficients of the difference polynomials $f-g$ are at most $2$ and the arithmeticity of the corresponding groups follows from Singh and Venkataramana, while the arithmeticity of one more hypergeometric group follows from Detinko, Flannery and Hulpke. In this article, we show the arithmeticity of $160$ of the remaining $246$ hypergeometric groups

Accumulation of Arsenic and Fluoride in Lichen Pyxine cocoes (Sw.) Nyl., Growing in the Vicinity of Coal-based Thermal Power Plant at Raebareli, India

ABSTRACT: Levels of arsenic (As) and fluoride (F) were determined in an epiphytic lichen Pyxine cocoes (Sw.) Nyl., collected from the vicinity of coal based thermal power plant of Raebareli, India. Both the elements are abundant in lichen thallus, while their substratum contained negligible amount. The As ranged between 8.9±0.7 to 77.3±2.0 µg g-1 dry weight in thallus and 1.0±0.0 to 9.7±0.2 µg g-1 dry weight in substratum; whereas F ranged between 9.3±0.52 to 105.8±2.3 µg g-1 dry weight in thallus however, it not detected in the substratum. The quantities of As in thallus increased with decreasing distance from the power plant, but F showed an opposite trend. The distribution of As and F around the power plant showed positive correlation with distance in all directions with better dispersion in western side as indicated by the concentration coefficient (R2). The F accumulaiton patterns in lichens clearly indicate that the  coal burning in power plant is the major contributor, and has its maximum levels on the down wind side. The analysis of variance and LSD indiacted that the As, F concentrations among lichen thallus is significant at p< 0.01% level. Key words: Bioaccumulation, Arsenic, Fluoride, Lichen, Thermal Power Plant Please Cite This Article As: R. Bajpai et al. 2010. Accumulation of Arsenic and Fluoride in Lichen Pyxine cocoes (Sw.) Nyl., Growing in the Vicinity of Coal-based Thermal Power Plant at Raebareli, India. J. Exp. Sci. 1(4):34-37

A Brief Overview on Ferrite (Fe3O4) Based Polymeric Nanocomposites: Recent Developments and Challenges

In this article, we have mainly discussed about ferrite (Fe3O4) and its polymer based nanocomposites. Ferrite particles have become an important research material because of their vast applications in the field of biotechnology, magnetic resonance imaging (MRI), and data storage. It has been observed that ferrite Fe3O4 particles show best performance for size less than 10-30 nm. This happens due to the super paramagnetic nature of such particles. In super paramagnetic range these particles exhibit zero remanence or coercivity. Therefore, various properties of ferrite (Fe3O4) nanoparticles and its polymer nanocomposites are very much dependent on the size, and distribution of the particles in the polymeric matrix. Moreover, it has been also observed that the shape of the nanocrystals plays important role in the determination of their fundamental properties. These particles show instability over longer times due to the formation of agglomerates generated by high surface energies. Therefore, protection strategies such as grafting and coatings with silica/carbon or polymers have been developed to stabilize them chemically. Recently, silylation technique is mainly used for the modification of nanoparticles. Experimentally, it has been observed that nanocomposites composed of polymer matrices and ferrite showed substantial improvements in stiffness, fracture toughness, sensing ability (magnetic as well as electric), impact energy absorption, and electro-catalytic activities to bio-species

Use of meijer’s g-function and bessel functions in electrical network theory

In this paper we have obtained a solution of the classical time-domain synthesis problem occuring in electrical network theory in a series of Bessel functions. We have also obtained a particular solution of the problem involving Meijer's G-function and Bessel functions.In this paper we have obtained a solution of the classical time-domain synthesis problem occuring in electrical network theory in a series of Bessel functions. We have also obtained a particular solution of the problem involving Meijer's G-function and Bessel functions

Interface driven magnetoelectric effects in granular CrO2

Antiferromagnetic and magnetoelectric Cr2O3-surfaces strongly affect the electronic properties in half metallic CrO2. We show the presence of a Cr2O3 surface layer on CrO3 grains by high-resolution transmission electron microscopy. The effect of these surface layers is demonstrated by measurements of the temperature variation of the magnetoelectric susceptibility. A major observation is a sign change at about 100 K followed by a monotonic rise as a function of temperature. These electric field induced moments in CrO3 are correlated with the magnetoelectric susceptibility of pure Cr2O3. This study indicates that it is important to take into account the magnetoelectric character of thin surface layers of Cr2O3 in granular CrO2 for better understanding the transport mechanism in this system. The observation of a finite magnetoelectric susceptibility near room temperature may find utility in device applications.Comment: Figure 1 with strongly reduced resolutio

Where on Earth Are the Best-50 Time Servers?

© 2019, Springer Nature Switzerland AG. We present a list of the Best-50 public IPv4 time servers by mining a high-resolution dataset of Stratum-1 servers for Availability, Stratum Constancy, Leap Performance, and Clock Error, broken down by continent. We find that a server with ideal leap performance, high availability, and low stratum variation is often clock error-free, but this is no guarantee. We discuss the relevance and lifetime of our findings, the scalability of our approach, and implications for load balancing and server ranking

Clinical and etiological spectrum of prolonged fever and special reference to HIV patients at a tertiary care centre

Background: Prolonged fever is a diagnostic challenge and will tend to remain so in times to come because of the changing spectrum of etiologies and influence of technology, environmental changes, and many other ill-understood factors which influence the etiological spectrum. Prolonged fever is also undergoing change in its duration. The aim of the present was study to determine the etiologies of prolonged fever in patients in India and to evaluate the clinical and etiological relationship between the diagnosis and patient’s laboratory data.Methods: Patients aged more 13 years with fever >38.3ºC for more than three weeks without apparent source after preliminary investigations were included prospectively over a period of twenty two months. Fever duration, symptom, signs, laboratory investigations and final diagnosis were recorded. The distribution of etiologies and age, fever duration, laboratory examinations, and associated symptoms and signs were analyzed.Results: Out of total of 86 patients were enrolled, fifty one (59.3%) were men. The median age was 28 years (range, 13-65 yr). Among 86 patients, diagnosis could be made in only 69 (80.2%) patients. Infections, neoplasms, NIIDs, miscellaneous causes were responsible for prolonged fever in 42 (48.8%), 18 (20.9%), 6 (7%), and 3 (3.5%) patients respectively. Seveteen (19.8%) cases remained undiagnosed, even after relevant investigations, six of them recovered spontaneously. Tuberculosis (TB) was the cause of prolonged fever in 21 (24.4%) patients.Conclusions: Infections, amongst which tuberculosis, remain the major cause of prolonged fever and its subset: fever of unknown origin (FUO), in this country. The percent of undiagnosed cases appears to be identical worldwide