61,160 research outputs found

    Geometry of PR\mathcal{P}\mathcal{R}-semi-invariant warped product submanifolds in paracosymplectic manifold

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    The purpose of this paper is to study PR\mathcal{P}\mathcal{R}-semi-invariant warped product submanifolds of a paracosymplectic manifold M~\widetilde{M}. We prove that the distributions associated with the definition of PR\mathcal{P}\mathcal{R}-semi-invariant warped product submanifold MM are always integrable. A necessary and sufficient condition for an isometrically immersed PR\mathcal{P}\mathcal{R}-semi-invariant submanifold of M~\widetilde{M} to be a PR\mathcal{P}\mathcal{R}-semi-invariant warped product submanifold is obtained in terms of the shape operator.Comment: 15 pages. arXiv admin note: text overlap with arXiv:1510.0204

    On the Generalized Class of PR\mathcal{P}\mathcal{R}-warped product submanifolds in para-K\"{a}hler Manifolds

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    In this paper, we study a new generalized class of PR\mathcal{P}\mathcal{R}-warped product submanifolds under the name PR\mathcal{P}\mathcal{R}-pseudo-slant warped product submanifolds in para-K\"{a}hler manifolds Mˉ\bar{M}. The results of existence and non-existence for PR\mathcal{P}\mathcal{R}-pseudo-slant warped product submanifolds with proper slant factor in Mˉ\bar{M} are shown. In addition to these results, we give an elementary illustration of such warped product submanifold in Mˉ\bar{M}.Comment: Welcome. arXiv admin note: text overlap with arXiv:1601.0171

    PR\mathcal{P}\mathcal{R}-anti-slant warped product submanifold of a nearly paracosymplectic manifold

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    In this paper, we study PR\mathcal{P}\mathcal{R}-anti-slant warped product submanifold of a nearly paracosymplectic manifold M~\widetilde{M}. The necessary and sufficient condition is obtained for the distributions allied to the characterization of a PR\mathcal{P}\mathcal{R}-anti-slant submanifold being integrable and totally geodesic foliation. In addition, we have defined PR\mathcal{P}\mathcal{R}-anti-slant warped product submanifold of M~\widetilde{M} and gave some illustrations. Finally, we extracted the constraints for a submanifold of M~\widetilde{M} to be a PR\mathcal{P}\mathcal{R}-anti-slant warped product of the form F×fNλF\times_{f}N_{\lambda}.Comment: Welcom

    A Framework for Prefetching Relevant Web Pages using Predictive Prefetching Engine (PPE)

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    This paper presents a framework for increasing the relevancy of the web pages retrieved by the search engine. The approach introduces a Predictive Prefetching Engine (PPE) which makes use of various data mining algorithms on the log maintained by the search engine. The underlying premise of the approach is that in the case of cluster accesses, the next pages requested by users of the Web server are typically based on the current and previous pages requested. Based on same, rules are drawn which then lead the path for prefetching the desired pages. To carry out the desired task of prefetching the more relevant pages, agents have been introduced.Comment: 9 page

    Optical band gap and associated band-tails in nanocrystalline AlN thin films grown by reactive IBSD at different substrate temperatures

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    AlN thin films have been grown on Si (100) substrates by reactive ion beam sputter deposition (IBSD) at different substrate temperatures varying from room temperature (RT) to 500oC. Substrate temperature induced microstructural transition from amorphous at RT, nanocrystalline at 300oC to microcrystalline at 400oC has been observed by Transmission Electron Microscopy (TEM). Average surface roughness (Ra) and morphology has been explored by using Atomic Force Microscopy (AFM). UV-VIS spectrophotometry has been employed to probe the substrate temperature induced changes in optical band-gap (Eg) of grown thin films in reflectance mode. It was found that Eg was increased from 5.08 to 5.21 eV as substrate temperature was increased from RT to 500oC. Urbach energy tail (Eu) along with weak absorption tail (WAT) energy (Et) have been estimated to account for the optical disorder which was found to decrease with associated increase in Eg.Comment: 22 pages, 6 figures, 2table

    Growth Kinetics of Ion Beam Sputtered Al-thin films by Dynamic Scaling Theory

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    This paper reports the study of growth kinetics of ion beam sputtered aluminum thin films. Dynamic scaling theory was used to derive the kinetics from AFM measurements. AFM imaging revealed that surface incorporates distinctly different morphologies. Variation in deposition times resulted in such distinctiveness. The growth governing static (alpha) as well as dynamic (beta) scaling exponents have been determined. The exponent (alpha) decreased as the deposition time increased from 3 to 15 minutes. Consequently, the interfacial width (xi) also decreased with critical length (Lc), accompanied with an increase in surface roughness. Surface diffusion becomes a major surface roughening phenomenon that occurs during deposition carried out over a short period of 3 minutes. Extension of deposition time to 15 minutes brought in bulk diffusion process to dominate which eventually led to smoothening of a continuous film

    Nonfactorizable contributions to weak DPVD \to PV decays

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    We investigate nonfactorizable contributions to two-body hadronic decays of the charmed mesons to a pseudoscalar meson and a vector meson in Cabibbo-favored mode. Employing SU(3)-flavor symmetry for the nonfactorizable matrix elements, we obtain branching ratios of the decays in consistent agreement with experiment.Comment: Latex, 17 page

    Agent Development Toolkits

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    Development of agents as well as their wide usage requires good underlying infrastructure. Literature indicates scarcity of agent development tools in initial years of research which limited the exploitation of this beneficial technology. However, today a wide variety of tools are available, for developing robust infrastructure. This technical note provides a deep overview of such tools and contrasts features provided by them.Comment: Contains Seven pages, 2 Figures and One tabl

    Making sense of randomness: an approach for fast recovery of compressively sensed signals

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    In compressed sensing (CS) framework, a signal is sampled below Nyquist rate, and the acquired compressed samples are generally random in nature. However, for efficient estimation of the actual signal, the sensing matrix must preserve the relative distances among the acquired compressed samples. Provided this condition is fulfilled, we show that CS samples will preserve the envelope of the actual signal even at different compression ratios. Exploiting this envelope preserving property of CS samples, we propose a new fast dictionary learning (DL) algorithm which is able to extract prototype signals from compressive samples for efficient sparse representation and recovery of signals. These prototype signals are orthogonal intrinsic mode functions (IMFs) extracted using empirical mode decomposition (EMD), which is one of the popular methods to capture the envelope of a signal. The extracted IMFs are used to build the dictionary without even comprehending the original signal or the sensing matrix. Moreover, one can build the dictionary on-line as new CS samples are available. In particularly, to recover first LL signals (Rn\in\mathbb{R}^n) at the decoder, one can build the dictionary in just O(nLlogn)\mathcal{O}(nL\log n) operations, that is far less as compared to existing approaches. The efficiency of the proposed approach is demonstrated experimentally for recovery of speech signals.Comment: 6 page

    Presence Factor-Oriented Blog Summarization

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    The research that has been carried out on blogs focused on blog posts only, ignoring the title of the blog page. Also, in summarization only a set of representative sentences are extracted. Some analysis has been done and it has been found that the blog post contains the content that is likely to be related to the topic of the blog post. Thus, proposed system of summarization makes use of title contained in a blog page. The approach makes use of the Presence factor that indicates the presence of each term of the title in each sentence of the blog post. This is a key feature because it considers those sentences as more relevant for summarization that contain each of the term present in the title. The system has been implemented and evaluated experimentally. The system has shown promising results.Comment: 8 page
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