A Note on 1-Edge Balance Index Set

A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of applications

Accessibility vs. Usability – Where is the Dividing Line?

Web accessibility for people with disabilities may be looked upon as the overcoming of barriers that make it difficult for them to use Web resources. Web accessibility for people with disabilities may be looked upon as the overcoming of barriers that prevent them from using these resources. Web accessibility can be improved through the use of assistive technologies in some cases by enabling access through alternative or enhanced modes. Web usability has been popular for longer than Web accessibility and theory, techniques, and guidelines relating to Web accessibility are more recent than those of Web usability. Accessibility could thus be considered as having a narrower scope than usability. Accessibility of Web resources by people with disabilities, which involves both access and use, is best supported by a combination of a set of accessibility guidelines and a set of usability guidelines

On pseudo-hyperk\"ahler prepotentials

An explicit surjection from a set of (locally defined) unconstrained holomorphic functions on a certain submanifold of (Sp_1(C) \times C^{4n}) onto the set HK_{p,q} of local isometry classes of real analytic pseudo-hyperk\"ahler metrics of signature (4p,4q) in dimension 4n is constructed. The holomorphic functions, called prepotentials, are analogues of K\"ahler potentials for K\"ahler metrics and provide a complete parameterisation of HK_{p,q}. In particular, there exists a bijection between HK_{p,q} and the set of equivalence classes of prepotentials. This affords the explicit construction of pseudo-hyperk\"ahler metrics from specified prepotentials. The construction generalises one due to Galperin, Ivanov, Ogievetsky and Sokatchev. Their work is given a coordinate-free formulation and complete, self-contained proofs are provided. An appendix provides a vital tool for this construction: a reformulation of real analytic G-structures in terms of holomorphic frame fields on complex manifolds.Comment: 53 pages; v2: minor amendments to Def.4.1 and Theorem 4.5; a paragraph inserted in the proof of the latter; V3: minor changes; V4: minor changes/ typos corrected for journal versio

Acute anti-inflammatory activity of ethanolic extract of leaves of Leucas indica by carrageenan induced paw oedema in wistar albino rats

Background: Inflammation is basically a defense phenomenon but can lead to serious pathological conditions. It is treated by various agents with good to moderate success because of both considerable toxicity and side effects. There are various mediators to cause an inflammatory reaction that can contribute to the associated symptoms and tissue injury. Even though non steroidal anti-inflammatory drugs are the most commonly prescribed drugs in the world, their use as anti-inflammatory agents continues to be principally limited by their undesired side effects. Hence, the traditional medical practitioners and scientists are turning towards Indian System of Medicine (ISM).Methods: Dried powdered leaves of Leucas indica were subjected to solvent extraction by using 90 % ethanol. Based on acute oral toxicity study according to Organization for Economic Cooperation and Development (OECD) guidelines No. 423, three doses of the test drug 75, 150 & 300mg/kg were selected and subjected to preclinical anti-inflammatory screening by carrageenin induced paw oedema in Wistar Albino rats.Results : Oral administration of Ethanolic Extract Of Leaves Of Leucas Indica (EELLI) at doses of 150 mg/kg and 300mg/kg showed significant anti-inflammatory activity 52.58% (p<0.01) and 36.87% (p<0.05) respectively compared to control. Conclusion: Even though oral administration of EELLI has shown significant anti-inflammatory activity, further studies are required to evaluate its comprehensive analysis including quantitative / semi quantitative analysis, characterize its chemical structure and assess its pharmacotherapeutic activities with exact mechanism of action as an anti-inflammatory agent

Enhancement of Geometric Phase by Frustration of Decoherence: A Parrondo like Effect

Geometric phase plays an important role in evolution of pure or mixed quantum states. However, when a system undergoes decoherence the development of geometric phase may be inhibited. Here, we show that when a quantum system interacts with two competing environments there can be enhancement of geometric phase. This effect is akin to Parrondo like effect on the geometric phase which results from quantum frustration of decoherence. Our result suggests that the mechanism of two competing decoherence can be useful in fault-tolerant holonomic quantum computation.Comment: 5 pages, 3 figures, Published versio