Small class number fields in the family Q(9m2+4m)\mathbb{Q}(\sqrt{9m^2+4m})

We study the class number one problem for real quadratic fields $\mathbb{Q}(\sqrt{9m^2+ 4m})$, where $m$ is an odd integer. We show that for $m \equiv 1 \pmod 3$ there is only one such field with class number one and only one such field with class number two.Comment: 20 pages. Comments are welcom

Divisibility of the class numbers of imaginary quadratic fields

For a given odd integer $n>1$, we provide some families of imaginary quadratic number fields of the form $\mathbb{Q}(\sqrt{x^2-t^n})$ whose ideal class group has a subgroup isomorphic to $\mathbb{Z}/n\mathbb{Z}$.Comment: 10 pages, accepted for publication in Journal of Number Theory (2017

ANTIDIABETIC ACTIVITY OF BAUHINIA VARIEGATA EXTRACTS IN ALLOXAN-INDUCED DIABETIC RATS

Bauhinia variegata commonly known as kachnar tree and is cultivated throughout India. literature survey revealed that the leaf of Bauhinia variegata is traditionally used as an astringent in diabetes. flowers are laxative.the present study was undertaken to evaluate the antidiabetic activity of ethanol extract of leaf of  Bauhinia variegata extract was evaluated using albino wister rat i.e.alloxan induced diabetes in albino wister rat by glucometer method, with 50 mg/kg,100 mg/kg and 200 mg/kg and higher doses showed significant value represent at table no and figure 1,2,3,4 respectively with different successive extract and show the significant p value. Keyword: Bauhinia Variegata, Ethanolic Extract, Antidiabetic, Alloxan, Albino Wister Ra

Unusual premonsoon eddy and Kelvin wave activities in the Bay of Bengal during Indian Summer monsoon deficit in June 2009 and 2012

An investigation of the eddy and coastal Kelvin wave activities in the Bay of Bengal (BoB) is carried out during premonsoon season in two years of Indian summer monsoon deficit in June (2009 and 2012), occurred in the recent warming hiatus period. Using altimeter observations, our study reveals that over the northern BoB cyclonic eddy kinetic energy is reduced by 35% and 50% from the climatology during premonsoon seasons in 2009 and 2012, respectively, while the cyclonic eddy area is reduced by 18% and 24%, respectively. A concurrent reduction is observed in the first upwelling Kelvin wave (uKW) activities in the eastern equatorial Indian Ocean as well as in the coastal BoB for these years. The reduction in the generation of the first uKW in the eastern equatorial Indian Ocean is attributed to the westerly wind anomalies in January-March of these years. Additionally, meridional wind stress anomalies during March-April in these years are found to be southerly, causing anomalous coastal downwelling in the eastern rim of BoB. This coastal downwelling blocks the propagation of the first uKW. The decrease in the first uKW activities in the coastal waveguide of the BoB reduces the radiation of upwelling Rossby waves, thereby decreasing the cyclonic eddy activities in the northern BoB. The results from this letter could be helpful for further understanding of upper ocean mixing processes in the BoB during monsoon deficit years

Unusual Premonsoon Eddy and Kelvin Wave Activities in the Bay of Bengal During Indian Summer Monsoon Deficit in June 2009 and 2012

An investigation of the eddy and coastal Kelvin wave activities in the Bay of Bengal (BoB) is carried out during premonsoon season in two years of Indian summer monsoon deficit in June (2009 and 2012), occurred in the recent warming hiatus period. Using altimeter observations, our study reveals that over the northern BoB cyclonic eddy kinetic energy is reduced by 35% and 50% from the climatology during premonsoon seasons in 2009 and 2012, respectively, while the cyclonic eddy area is reduced by 18% and 24%, respectively. A concurrent reduction is observed in the first upwelling Kelvin wave (uKW) activities in the eastern equatorial Indian Ocean as well as in the coastal BoB for these years. The reduction in the generation of the first uKW in the eastern equatorial Indian Ocean is attributed to the westerly wind anomalies in January-March of these years. Additionally, meridional wind stress anomalies during March-April in these years are found to be southerly, causing anomalous coastal downwelling in the eastern rim of BoB. This coastal downwelling blocks the propagation of the first uKW. The decrease in the first uKW activities in the coastal waveguide of the BoB reduces the radiation of upwelling Rossby waves, thereby decreasing the cyclonic eddy activities in the northern BoB. The results from this letter could be helpful for further understanding of upper ocean mixing processes in the BoB during monsoon deficit years

Anti-thrombotic efficacy of S007-867: Pre-clinical evaluation in experimental models of thrombosis in vivo and in vitro.

Pharmacological inhibition of platelet collagen interaction is a promising therapeutic strategy to treat intra-vascular thrombosis. S007-867 is a novel synthetic inhibitor of collagen-induced platelet aggregation. It has shown better antithrombotic protection than aspirin and clopidogrel with minimal bleeding tendency in mice. The present study is aimed to systematically investigate the antithrombotic efficacy of S007-867 in comparison to aspirin and clopidogrel in vivo and to delineate its mechanism of action in vitro. Aspirin, clopidogrel, and S007-867 significantly reduced thrombus weight in arterio-venous (AV) shunt model in rats. In mice, following ferric chloride induced thrombosis in either carotid or mesenteric artery; S007-867 significantly prolonged the vessel occlusion time (1.2-fold) and maintained a sustained blood flow velocity for >30 min. Comparatively, clopidogrel showed significant prolongation in TTO (1.3-fold) while aspirin remained ineffective. Both S007-867 and aspirin did not alter bleeding time in either kidney or spleen injury models, and thus maintained hemostasis, while clopidogrel showed significant increase in spleen bleeding time (1.7-fold). The coagulation parameters namely thrombin time, prothrombin time or activated partial thromboplastin time remained unaffected even at high concentration of S007-867 (300 µM), thus implying its antithrombotic effect to be primarily platelet mediated. S007-867 significantly inhibited collagen-mediated platelet adhesion and aggregation in mice ex-vivo. Moreover, when blood was perfused over a highly thrombogenic combination of collagen mimicking peptides like CRP-GFOGER-VWF-III, S007-867 significantly reduced total thrombus volume or ZV50 (53.4 ± 5.7%). Mechanistically, S007-867 (10-300 μM) inhibited collagen-induced ATP release, thromboxane A2 (TxA2) generation, intra-platelet [Ca+2] flux and global tyrosine phosphorylation including PLCγ2. Collectively the present study highlights that S007-867 is a novel synthetic inhibitor of collagen induced platelet activation, that effectively maintains blood flow velocity and delays vascular occlusion. It inhibits thrombogenesis without compromising hemostasis. Therefore, S007-867 may be further developed for the treatment of thrombotic disorders in clinical settings