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Search results for: Hull theorem

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theorem</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">191</span> A Novel Approach to Positive Almost Periodic Solution of BAM Neural Networks with Time-Varying Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lili%20Wang">Lili Wang</a>, <a href="https://publications.waset.org/search?q=Meng%20Hu"> Meng Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, based on almost periodic functional hull theory and M-matrix theory, some sufficient conditions are established for the existence and uniqueness of positive almost periodic solution for a class of BAM neural networks with time-varying delays. An example is given to illustrate the main results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Delayed%20BAM%20neural%20networks" title="Delayed BAM neural networks">Delayed BAM neural networks</a>, <a href="https://publications.waset.org/search?q=Hull%20theorem" title=" Hull theorem"> Hull theorem</a>, <a href="https://publications.waset.org/search?q=Mmatrix" title=" Mmatrix"> Mmatrix</a>, <a href="https://publications.waset.org/search?q=Almost%20periodic%20solution" title=" Almost periodic solution"> Almost periodic solution</a>, <a href="https://publications.waset.org/search?q=Global%20exponential%20stability." title=" Global exponential stability."> Global exponential stability.</a> </p> <a href="https://publications.waset.org/10963/a-novel-approach-to-positive-almost-periodic-solution-of-bam-neural-networks-with-time-varying-delays" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10963/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10963/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10963/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10963/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10963/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10963/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10963/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10963/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10963/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10963/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10963.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1415</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">190</span> On the Maximum Theorem: A Constructive Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yasuhito%20Tanaka">Yasuhito Tanaka</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We examine the maximum theorem by Berge from the point of view of Bishop style constructive mathematics. We will show an approximate version of the maximum theorem and the maximum theorem for functions with sequentially locally at most one maximum. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Maximum%20theorem" title="Maximum theorem">Maximum theorem</a>, <a href="https://publications.waset.org/search?q=Constructive%20mathematics" title=" Constructive mathematics"> Constructive mathematics</a>, <a href="https://publications.waset.org/search?q=Sequentially%0Alocally%20at%20most%20one%20maximum." title=" Sequentially locally at most one maximum."> Sequentially locally at most one maximum.</a> </p> <a href="https://publications.waset.org/1483/on-the-maximum-theorem-a-constructive-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1483/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1483/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1483/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1483/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1483/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1483/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1483/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1483/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1483/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1483/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1483.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1972</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">189</span> Visual Hull with Imprecise Input</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Peng%20He">Peng He</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Imprecision is a long-standing problem in CAD design and high accuracy image-based reconstruction applications. The visual hull which is the closed silhouette equivalent shape of the objects of interest is an important concept in image-based reconstruction. We extend the domain-theoretic framework, which is a robust and imprecision capturing geometric model, to analyze the imprecision in the output shape when the input vertices are given with imprecision. Under this framework, we show an efficient algorithm to generate the 2D partial visual hull which represents the exact information of the visual hull with only basic imprecision assumptions. We also show how the visual hull from polyhedra problem can be efficiently solved in the context of imprecise input. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Geometric%20Domain" title="Geometric Domain">Geometric Domain</a>, <a href="https://publications.waset.org/search?q=Computer%20Vision" title=" Computer Vision"> Computer Vision</a>, <a href="https://publications.waset.org/search?q=Computational%20Geometry" title=" Computational Geometry"> Computational Geometry</a>, <a href="https://publications.waset.org/search?q=Visual%20Hull" title=" Visual Hull"> Visual Hull</a>, <a href="https://publications.waset.org/search?q=Image-Based%20reconstruction" title=" Image-Based reconstruction"> Image-Based reconstruction</a>, <a href="https://publications.waset.org/search?q=Imprecise%20Input" title=" Imprecise Input"> Imprecise Input</a>, <a href="https://publications.waset.org/search?q=CAD%20object" title=" CAD object"> CAD object</a> </p> <a href="https://publications.waset.org/6300/visual-hull-with-imprecise-input" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6300/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6300/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6300/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6300/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6300/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6300/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6300/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6300/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6300/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6300/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6300.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1477</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">188</span> RANS Simulation of Viscous Flow around Hull of Multipurpose Amphibious Vehicle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Nakisa">M. Nakisa</a>, <a href="https://publications.waset.org/search?q=A.%20Maimun"> A. Maimun</a>, <a href="https://publications.waset.org/search?q=Yasser%20M.%20Ahmed"> Yasser M. Ahmed</a>, <a href="https://publications.waset.org/search?q=F.%20Behrouzi"> F. Behrouzi</a>, <a href="https://publications.waset.org/search?q=A.%20Tarmizi"> A. Tarmizi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p class="Abstract" style="text-indent:10.2pt">The practical application of the Computational Fluid Dynamics (CFD), for predicting the flow pattern around Multipurpose Amphibious Vehicle (MAV) hull has made much progress over the last decade. Today, several of the CFD tools play an important role in the land and water going vehicle hull form design. CFD has been used for analysis of MAV hull resistance, sea-keeping, maneuvering and investigating its variation when changing the hull form due to varying its parameters, which represents a very important task in the principal and final design stages. Resistance analysis based on CFD (Computational Fluid Dynamics) simulation has become a decisive factor in the development of new, economically efficient and environmentally friendly hull forms. Three-dimensional finite volume method (FVM) based on Reynolds Averaged Navier-Stokes equations (RANS) has been used to simulate incompressible flow around three types of MAV hull bow models in steady-state condition. Finally, the flow structure and streamlines, friction and pressure resistance and velocity contours of each type of hull bow will be compared and discussed.<o:p></o:p></p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=RANS%20Simulation" title="RANS Simulation">RANS Simulation</a>, <a href="https://publications.waset.org/search?q=Multipurpose%20Amphibious%20Vehicle" title=" Multipurpose Amphibious Vehicle"> Multipurpose Amphibious Vehicle</a>, <a href="https://publications.waset.org/search?q=Viscous%20Flow%20Structure." title=" Viscous Flow Structure."> Viscous Flow Structure.</a> </p> <a href="https://publications.waset.org/9997412/rans-simulation-of-viscous-flow-around-hull-of-multipurpose-amphibious-vehicle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997412/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997412/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997412/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997412/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997412/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997412/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997412/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997412/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997412/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997412/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997412.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2962</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">187</span> On Constructing Approximate Convex Hull</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Zahid%20Hossain">M. Zahid Hossain</a>, <a href="https://publications.waset.org/search?q=M.%20Ashraful%20Amin"> M. Ashraful Amin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The algorithms of convex hull have been extensively&nbsp;studied in literature, principally because of their wide range of&nbsp;applications in different areas. This article presents an efficient&nbsp;algorithm to construct approximate convex hull from a set of n points&nbsp;in the plane in O(n + k) time, where k is the approximation error&nbsp;control parameter. The proposed algorithm is suitable for applications&nbsp;preferred to reduce the computation time in exchange of accuracy&nbsp;level such as animation and interaction in computer graphics where&nbsp;rapid and real-time graphics rendering is indispensable.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Convex%20hull" title="Convex hull">Convex hull</a>, <a href="https://publications.waset.org/search?q=Approximation%20algorithm" title=" Approximation algorithm"> Approximation algorithm</a>, <a href="https://publications.waset.org/search?q=Computational%0D%0Ageometry" title=" Computational geometry"> Computational geometry</a>, <a href="https://publications.waset.org/search?q=Linear%20time." title=" Linear time."> Linear time.</a> </p> <a href="https://publications.waset.org/16743/on-constructing-approximate-convex-hull" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16743/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16743/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16743/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16743/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16743/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16743/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16743/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16743/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16743/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16743/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16743.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2300</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">186</span> Optimization of Enzymatic Activities in Malting of Oat</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=E.%20Hosseini">E. Hosseini</a>, <a href="https://publications.waset.org/search?q=M.%20Kadivar"> M. Kadivar</a>, <a href="https://publications.waset.org/search?q=M.%20Shahedi"> M. Shahedi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Malting is usually carried out on intact barley seed, while hull is still attached to it. In this study, oat grain with and without hull was subjected to controlled germination to optimize its enzymes activity, in such a way that lipase has the lowest and α- amylase and proteinase the highest activities. Since pH has a great impact on the activity of the enzymes, the pH of germination media was set up to 3 to 8. In dehulled oats, lipase and α-amylase had the lowest and highest activities in pHs 3 and 6, respectively whereas the highest proteinase activity was evidenced at pH 7 and 4 in the oats with and without hull respectively. While measurements indicated that the effect of hull on the enzyme activities particularly in lipase and amylase at each level of the pH are significantly different, the best results were obtained in those samples in which their hull had been removed. However, since the similar lipase activity in germinated dehulled oat were recorded at the pHs 4 and 5, therefore it was concluded that pH 5 in dehulled oat seed may provide the optimum enzyme activity for all the enzymes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Enzyme%20activity" title="Enzyme activity">Enzyme activity</a>, <a href="https://publications.waset.org/search?q=malting" title=" malting"> malting</a>, <a href="https://publications.waset.org/search?q=oat" title=" oat"> oat</a>, <a href="https://publications.waset.org/search?q=optimization." title=" optimization."> optimization.</a> </p> <a href="https://publications.waset.org/7906/optimization-of-enzymatic-activities-in-malting-of-oat" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7906/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7906/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7906/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7906/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7906/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7906/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7906/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7906/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7906/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7906/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7906.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2929</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">185</span> The Chemical Composition of Yoghurt Enriched with Flakes from Biologically Activated Hullless Barley Grain and Malt Extract</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ilze%20Beitane">Ilze Beitane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The influence of flakes from biologically activated hull-less barley grain and malt extract on chemical composition of yoghurt was studied. Pasteurized milk, freeze-dried yoghurt culture YF-L811 (Chr. Hansen, Denmark), flakes from biologically activated hull-less barley grain (Latvia) and malt extract (Ilgezeem, Latvia) were used for experiments. Yoghurt samples with and without flakes from biologically activated hull-less barley grain and malt extract were analyzed for content of total solids, total proteins, fats, amino acids and riboflavin. The addition of flakes from biologically activated hull-less barley grain and malt extract allowed increase of nutritional value of yoghurt samples. There was obtained the increase of total proteins (p>0.05) and the decrease of fat (p>0.05). The presence of flakes from biologically activated hull-less barley grain and malt extract in yoghurt samples provided significant increase of amino acids amount (p<0.05) and riboflavin concentration (p<0.05). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chemical%20composition" title="Chemical composition">Chemical composition</a>, <a href="https://publications.waset.org/search?q=hull-less%20barley%20grain" title=" hull-less barley grain"> hull-less barley grain</a>, <a href="https://publications.waset.org/search?q=malt%0Aextract" title=" malt extract"> malt extract</a>, <a href="https://publications.waset.org/search?q=yoghurt." title=" yoghurt."> yoghurt.</a> </p> <a href="https://publications.waset.org/12097/the-chemical-composition-of-yoghurt-enriched-with-flakes-from-biologically-activated-hullless-barley-grain-and-malt-extract" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12097/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12097/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12097/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12097/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12097/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12097/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12097/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12097/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12097/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12097/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12097.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2266</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">184</span> Fermat’s Last Theorem a Simple Demonstration</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jose%20William%20Porras%20Ferreira">Jose William Porras Ferreira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents two solutions to the Fermat&rsquo;s Last Theorem (FLT). The first one using some algebraic basis related to the Pythagorean theorem, expression of equations, an analysis of their behavior, when compared with power &nbsp;and power &nbsp;and using &quot; the &ldquo;Well Ordering Principle&rdquo; of natural numbers it is demonstrated that in Fermat equation . The second one solution is using the connection between &nbsp;and power&nbsp; through the Pascal&rsquo;s triangle or&nbsp; Newton&rsquo;s binomial coefficients, where de Fermat equation do not fulfill the first coefficient, then it is impossible that:</p> <p align="center">z<sup>n</sup>=x<sup>n</sup>+y<sup>n</sup> for n&gt;2 and (x, y, z) E Z<sup>+</sup> - {0}</p> <p align="center">&nbsp;</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fermat%E2%80%99s%20Last%20Theorem" title="Fermat’s Last Theorem">Fermat’s Last Theorem</a>, <a href="https://publications.waset.org/search?q=Pythagorean%20Theorem" title=" Pythagorean Theorem"> Pythagorean Theorem</a>, <a href="https://publications.waset.org/search?q=Newton%20Binomial%20Coefficients" title=" Newton Binomial Coefficients"> Newton Binomial Coefficients</a>, <a href="https://publications.waset.org/search?q=Pascal%E2%80%99s%20Triangle" title=" Pascal’s Triangle"> Pascal’s Triangle</a>, <a href="https://publications.waset.org/search?q=Well%20Ordering%20Principle." title=" Well Ordering Principle."> Well Ordering Principle.</a> </p> <a href="https://publications.waset.org/16931/fermats-last-theorem-a-simple-demonstration" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16931/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16931/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16931/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16931/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16931/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16931/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16931/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16931/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16931/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16931/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16931.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3002</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">183</span> Effect of Hull-Less Barley Flakes and Malt Extract on Yoghurt Quality</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ilze%20Beitane">Ilze Beitane</a>, <a href="https://publications.waset.org/search?q=Evita%20Straumite"> Evita Straumite</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The aim of the research was to evaluate the influence of flakes from biologically activated hull-less barley grain and malt extract on quality of yoghurt during its storage.</p> <p>The results showed that the concentration of added malt extract and storage time influenced the changes of pH and lactic acid in yoghurt samples. Sensory properties &ndash; aroma, taste, consistency and appearance &ndash; of yoghurt enriched with flakes from biologically activated hull-less barley grain and malt extract changed significantly (p&lt;0.05) during storage. Yoghurt with increased proportion of malt extract had sweeter taste and more flowing consistency. Sensory properties (taste, aroma, consistency and appearance) of yoghurt samples enriched with 5% flakes from biologically activated hull-less barley grain (YFBG 5%) and 5% flakes from biologically activated hull-less barley grain and 2% malt extract (YFBG 5% ME&nbsp;2%) did not change significantly during one week of storage.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Barley%20flakes" title="Barley flakes">Barley flakes</a>, <a href="https://publications.waset.org/search?q=malt%20extract" title=" malt extract"> malt extract</a>, <a href="https://publications.waset.org/search?q=yoghurt" title=" yoghurt"> yoghurt</a>, <a href="https://publications.waset.org/search?q=sensory%20analysis." title=" sensory analysis. "> sensory analysis. </a> </p> <a href="https://publications.waset.org/9997783/effect-of-hull-less-barley-flakes-and-malt-extract-on-yoghurt-quality" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997783/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997783/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997783/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997783/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997783/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997783/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997783/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997783/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997783/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997783/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997783.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2135</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">182</span> Hull Separation Optimization of Catamaran Unmanned Surface Vehicle Powered with Hydrogen Fuel Cell</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Seok-In%20Sohn">Seok-In Sohn</a>, <a href="https://publications.waset.org/search?q=Dae-Hwan%20Park"> Dae-Hwan Park</a>, <a href="https://publications.waset.org/search?q=Yeon-Seung%20Lee"> Yeon-Seung Lee</a>, <a href="https://publications.waset.org/search?q=Il-Kwon%20Oh"> Il-Kwon Oh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an optimization of the hull separation, i.e. transverse clearance. The main objective is to identify the feasible speed ranges and find the optimum transverse clearance considering the minimum wave-making resistance. The dimensions and the weight of hardware systems installed in the catamaran structured fuel cell powered USV (Unmanned Surface Vehicle) were considered as constraints. As the CAE (Computer Aided Engineering) platform FRIENDSHIP-Framework was used. The hull surface modeling, DoE (Design of Experiment), Tangent search optimization, tool integration and the process automation were performed by FRIENDSHIP-Framework. The hydrodynamic result was evaluated by XPAN the potential solver of SHIPFLOW. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Full%20parametric%20modeling" title="Full parametric modeling">Full parametric modeling</a>, <a href="https://publications.waset.org/search?q=Hull%20Separation" title=" Hull Separation"> Hull Separation</a>, <a href="https://publications.waset.org/search?q=Wave-making%20resistance" title=" Wave-making resistance"> Wave-making resistance</a>, <a href="https://publications.waset.org/search?q=Design%20Of%20Experiment" title=" Design Of Experiment"> Design Of Experiment</a>, <a href="https://publications.waset.org/search?q=Tangent%20search%0Amethod" title=" Tangent search method"> Tangent search method</a> </p> <a href="https://publications.waset.org/6577/hull-separation-optimization-of-catamaran-unmanned-surface-vehicle-powered-with-hydrogen-fuel-cell" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6577/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6577/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6577/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6577/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6577/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6577/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6577/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6577/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6577/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6577/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6577.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2960</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">181</span> Numerical Simulation of Free Surface Water Wave for the Flow around NACA 0012 Hydrofoil and Wigley Hull Using VOF Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Saadia%20Adjali">Saadia Adjali</a>, <a href="https://publications.waset.org/search?q=Omar%20Imine"> Omar Imine</a>, <a href="https://publications.waset.org/search?q=Mohammed%20Aounallah"> Mohammed Aounallah</a>, <a href="https://publications.waset.org/search?q=Mustapha%20Belkadi"> Mustapha Belkadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Steady three-dimensional and two free surface waves generated by moving bodies are presented, the flow problem to be simulated is rich in complexity and poses many modeling challenges because of the existence of breaking waves around the ship hull, and because of the interaction of the two-phase flow with the turbulent boundary layer. The results of several simulations are reported. The first study was performed for NACA0012 of hydrofoil with different meshes, this section is analyzed at h/c= 1, 0345 for 2D. In the second simulation a mathematically defined Wigley hull form is used to investigate the application of a commercial CFD code in prediction of the total resistance and its components from tangential and normal forces on the hull wetted surface. The computed resistance and wave profiles are used to estimate the coefficient of the total resistance for Wigley hull advancing in calm water under steady conditions. The commercial CFD software FLUENT version 12 is used for the computations in the present study. The calculated grid is established using the code computer GAMBIT 2.3.26. The shear stress k-ωSST model is used for turbulence modeling and the volume of fluid technique is employed to simulate the free-surface motion. The second order upwind scheme is used for discretizing the convection terms in the momentum transport equations, the Modified HRIC scheme for VOF discretization. The results obtained compare well with the experimental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Free%20surface%20flows" title="Free surface flows">Free surface flows</a>, <a href="https://publications.waset.org/search?q=Breaking%20waves" title=" Breaking waves"> Breaking waves</a>, <a href="https://publications.waset.org/search?q=Boundary%0D%0Alayer" title=" Boundary layer"> Boundary layer</a>, <a href="https://publications.waset.org/search?q=Wigley%20hull" title=" Wigley hull"> Wigley hull</a>, <a href="https://publications.waset.org/search?q=Volume%20of%20fluid." title=" Volume of fluid."> Volume of fluid.</a> </p> <a href="https://publications.waset.org/10001690/numerical-simulation-of-free-surface-water-wave-for-the-flow-around-naca-0012-hydrofoil-and-wigley-hull-using-vof-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001690/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001690/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001690/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001690/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001690/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001690/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001690/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001690/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001690/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001690/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001690.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3562</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">180</span> Numerical Simulation of Free Surface Water Wave for the Flow around NACA 0012 Hydrofoil and Wigley Hull Using VOF Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Saadia%20Adjali">Saadia Adjali</a>, <a href="https://publications.waset.org/search?q=Omar%20Imine"> Omar Imine</a>, <a href="https://publications.waset.org/search?q=Mohammed%20Aounallah"> Mohammed Aounallah</a>, <a href="https://publications.waset.org/search?q=Mustapha%20Belkadi"> Mustapha Belkadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Steady three-dimensional and two free surface waves generated by moving bodies are presented, the flow problem to be simulated is rich in complexity and poses many modeling challenges because of the existence of breaking waves around the ship hull, and because of the interaction of the two-phase flow with the turbulent boundary layer. The results of several simulations are reported. The first study was performed for NACA0012 of hydrofoil with different meshes, this section is analyzed at h/c= 1, 0345 for 2D. In the second simulation a mathematically defined Wigley hull form is used to investigate the application of a commercial CFD code in prediction of the total resistance and its components from tangential and normal forces on the hull wetted surface. The computed resistance and wave profiles are used to estimate the coefficient of the total resistance for Wigley hull advancing in calm water under steady conditions. The commercial CFD software FLUENT version 12 is used for the computations in the present study. The calculated grid is established using the code computer GAMBIT 2.3.26. The shear stress k-ωSST model is used for turbulence modeling and the volume of fluid technique is employed to simulate the free-surface motion. The second order upwind scheme is used for discretizing the convection terms in the momentum transport equations, the Modified HRIC scheme for VOF discretization. The results obtained compare well with the experimental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Free%20surface%20flows" title="Free surface flows">Free surface flows</a>, <a href="https://publications.waset.org/search?q=breaking%20waves" title=" breaking waves"> breaking waves</a>, <a href="https://publications.waset.org/search?q=boundary%20layer" title=" boundary layer"> boundary layer</a>, <a href="https://publications.waset.org/search?q=Wigley%20hull" title=" Wigley hull"> Wigley hull</a>, <a href="https://publications.waset.org/search?q=volume%20of%20fluid." title=" volume of fluid."> volume of fluid.</a> </p> <a href="https://publications.waset.org/10001709/numerical-simulation-of-free-surface-water-wave-for-the-flow-around-naca-0012-hydrofoil-and-wigley-hull-using-vof-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001709/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001709/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001709/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001709/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001709/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001709/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001709/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001709/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001709/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001709/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001709.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3302</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">179</span> Experimental Investigation of Hull Form for Electric Driven Ferry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Vasilij%20Djackov">Vasilij Djackov</a>, <a href="https://publications.waset.org/search?q=Tomas%20Zapnickas"> Tomas Zapnickas</a>, <a href="https://publications.waset.org/search?q=Evgenii%20Iamshchikov"> Evgenii Iamshchikov</a>, <a href="https://publications.waset.org/search?q=Lukas%20Norkevicius"> Lukas Norkevicius</a>, <a href="https://publications.waset.org/search?q=Rima%20Mickeviciene"> Rima Mickeviciene</a>, <a href="https://publications.waset.org/search?q=Larisa%20Vasiljeva"> Larisa Vasiljeva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, the resistance and pitching values of the test of an electric ferry are presented. The research was carried out in the open flow channel of Klaipėda University with a multi-axis dynamometer. The received model resistance values were recalculated to the real vessel and the preliminary chosen propulsion unit power was compared. After analyzing the results of the pitching of the model, it was concluded that the shape of the hull needs to be further improved, taking into account the possible uneven weight distribution at the ends of the ferry. Further investigation of the hull of the electric ferry is recommended, including experiments with various water depths and activation of propulsion units.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Electrical%20ferry" title="Electrical ferry">Electrical ferry</a>, <a href="https://publications.waset.org/search?q=model%20tests" title=" model tests"> model tests</a>, <a href="https://publications.waset.org/search?q=open%20flow%20channel" title=" open flow channel"> open flow channel</a>, <a href="https://publications.waset.org/search?q=pitching" title=" pitching"> pitching</a>, <a href="https://publications.waset.org/search?q=resistance." title=" resistance."> resistance.</a> </p> <a href="https://publications.waset.org/10013251/experimental-investigation-of-hull-form-for-electric-driven-ferry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013251/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013251/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10013251/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10013251/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10013251/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10013251/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10013251/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10013251/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10013251/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10013251/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10013251.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">206</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">178</span> Study on Optimization Design of Pressure Hull for Underwater Vehicle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Qasim%20Idrees">Qasim Idrees</a>, <a href="https://publications.waset.org/search?q=Gao%20Liangtian"> Gao Liangtian</a>, <a href="https://publications.waset.org/search?q=Liu%20Bo"> Liu Bo</a>, <a href="https://publications.waset.org/search?q=Miao%20Yiran"> Miao Yiran</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In order to improve the efficiency and accuracy of the pressure hull structure, optimization of underwater vehicle based on response surface methodology, a method for optimizing the design of pressure hull structure was studied. To determine the pressure shell of five dimensions as a design variable, the application of thin shell theory and the Chinese Classification Society (CCS) specification was carried on the preliminary design. In order to optimize variables of the feasible region, different methods were studied and implemented such as Opt LHD method (to determine the design test sample points in the feasible domain space), parametric ABAQUS solution for each sample point response, and the two-order polynomial response for the surface model of the limit load of structures. Based on the ultimate load of the structure and the quality of the shell, the two-generation genetic algorithm was used to solve the response surface, and the Pareto optimal solution set was obtained. The final optimization result was 41.68% higher than that of the initial design, and the shell quality was reduced by about 27.26%. The parametric method can ensure the accuracy of the test and improve the efficiency of optimization.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Parameterization" title="Parameterization">Parameterization</a>, <a href="https://publications.waset.org/search?q=response%20surface" title=" response surface"> response surface</a>, <a href="https://publications.waset.org/search?q=structure%20optimization" title=" structure optimization"> structure optimization</a>, <a href="https://publications.waset.org/search?q=pressure%20hull." title=" pressure hull."> pressure hull.</a> </p> <a href="https://publications.waset.org/10008738/study-on-optimization-design-of-pressure-hull-for-underwater-vehicle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10008738/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10008738/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10008738/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10008738/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10008738/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10008738/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10008738/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10008738/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10008738/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10008738/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10008738.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1162</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">177</span> Power Series Form for Solving Linear Fredholm Integral Equations of Second Order via Banach Fixed Point Theorem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Adil%20AL-Rammahi">Adil AL-Rammahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a new method for solution of second order linear Fredholm integral equation in power series form was studied. The result is obtained by using Banach fixed point theorem.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fredholm%20integral%20equation" title="Fredholm integral equation">Fredholm integral equation</a>, <a href="https://publications.waset.org/search?q=power%20series" title=" power series"> power series</a>, <a href="https://publications.waset.org/search?q=Banach%20fixed%20point%20theorem" title=" Banach fixed point theorem"> Banach fixed point theorem</a>, <a href="https://publications.waset.org/search?q=Linear%20Systems." title=" Linear Systems. "> Linear Systems. </a> </p> <a href="https://publications.waset.org/9997656/power-series-form-for-solving-linear-fredholm-integral-equations-of-second-order-via-banach-fixed-point-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997656/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997656/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997656/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997656/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997656/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997656/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997656/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997656/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997656/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997656/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997656.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2489</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">176</span> Positive Solutions for Semipositone Discrete Eigenvalue Problems via Three Critical Points Theorem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Benshi%20Zhu">Benshi Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, multiple positive solutions for semipositone discrete eigenvalue problems are obtained by using a three critical points theorem for nondifferentiable functional. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20eigenvalue%20problems" title="Discrete eigenvalue problems">Discrete eigenvalue problems</a>, <a href="https://publications.waset.org/search?q=positive%20solutions" title=" positive solutions"> positive solutions</a>, <a href="https://publications.waset.org/search?q=semipositone" title="semipositone">semipositone</a>, <a href="https://publications.waset.org/search?q=three%20critical%20points%20theorem" title=" three critical points theorem"> three critical points theorem</a> </p> <a href="https://publications.waset.org/13982/positive-solutions-for-semipositone-discrete-eigenvalue-problems-via-three-critical-points-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13982/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13982/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13982/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13982/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13982/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13982/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13982/mla" 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class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yasuhito%20Tanaka">Yasuhito Tanaka</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>We present a constructive proof of Tychonoff&rsquo;s fixed&nbsp;point theorem in a locally convex space for uniformly continuous&nbsp;and sequentially locally non-constant functions.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=sequentially%20locally%20non-constant%20functions" title="sequentially locally non-constant functions">sequentially locally non-constant functions</a>, <a href="https://publications.waset.org/search?q=Tychonoff%E2%80%99s%0D%0Afixed%20point%20theorem" title=" Tychonoff’s fixed point theorem"> Tychonoff’s fixed point theorem</a>, <a href="https://publications.waset.org/search?q=constructive%20mathematics." title=" constructive mathematics."> constructive mathematics.</a> </p> <a href="https://publications.waset.org/17081/constructive-proof-of-tychonoffs-fixed-point-theorem-for-sequentially-locally-non-constant-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17081/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17081/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17081/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17081/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17081/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17081/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17081/mla" 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href="https://publications.waset.org/search?q=M.%20H.%20M.%20Rashid">M. H. M. Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Given H a Hilbert space and B(H) the algebra of bounded linear operator in H, let &delta;AB denote the generalized derivation defined by A and B. The main objective of this article is to study Weyl type theorems for generalized derivation for (A,B) satisfying a couple of Fuglede. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuglede%20Property" title="Fuglede Property">Fuglede Property</a>, <a href="https://publications.waset.org/search?q=Weyl%E2%80%99s%20theorem" title=" Weyl’s theorem"> Weyl’s theorem</a>, <a href="https://publications.waset.org/search?q=generalized%0D%0Aderivation" title=" generalized derivation"> generalized derivation</a>, <a href="https://publications.waset.org/search?q=Aluthge%20Transformation." title=" Aluthge Transformation."> Aluthge Transformation.</a> </p> <a href="https://publications.waset.org/10011450/weyl-type-theorem-and-the-fuglede-property" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10011450/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10011450/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10011450/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10011450/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10011450/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10011450/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10011450/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10011450/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10011450/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10011450/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10011450.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">555</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">173</span> Microbiological Assessment of Yoghurt Enriched with Flakes from Barley Grain and Malt Extract during Shelf-Life</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ilze%20Beitane"> Ilze Beitane</a>, <a href="https://publications.waset.org/search?q=Dace%20Klava"> Dace Klava</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The effect of flakes from biologically activated hullless barley grain and malt extract on microbiological safety of yoghurt was studied. Pasteurized milk, freeze-dried yoghurt culture YF-L811 (Chr. Hansen, Denmark), flakes from biologically activated hull-less barley grain (Latvia) and malt extract (Ilgezeem, Latvia) were used for experiments. Yoghurt samples with flakes from biologically activated hull-less barley grain and malt extract were analyzed for total plate count of mesophylic aerobic and facultative anaerobic microorganisms, as well yeasts and moulds population during shelflife. Results showed that the changes of pH and titratable acidity affected the concentration of added malt extract. The lowest pH and the highest titratable acidity were determined in samples YFBG5% ME4% and YFBG5% ME6% on the 14th day. The total plate count decreased in all yoghurt samples except sample YFBG5% ME6%, where was determined the increase of microorganisms from 7th till 14th day. The adding of flakes from biologically activated hull-less barley grain in yoghurt samples caused the higher initial content of yeasts and moulds comparing with control. The growth of yeasts and moulds during shelf-life provided the added malt extract in yoghurt samples. Yoghurt enriched with flakes from biologically activated hull-less barley grain and malt extract from a microbiological perspective is safe product.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Microbiological%20assessment" title=" Microbiological assessment"> Microbiological assessment</a>, <a href="https://publications.waset.org/search?q=yeasts" title=" yeasts"> yeasts</a>, <a href="https://publications.waset.org/search?q=moulds" title=" moulds"> moulds</a>, <a href="https://publications.waset.org/search?q=barley%20grain" title=" barley grain"> barley grain</a>, <a href="https://publications.waset.org/search?q=malt%20extract" title=" malt extract"> malt extract</a>, <a href="https://publications.waset.org/search?q=yoghurt." title=" yoghurt."> yoghurt.</a> </p> <a href="https://publications.waset.org/16088/microbiological-assessment-of-yoghurt-enriched-with-flakes-from-barley-grain-and-malt-extract-during-shelf-life" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16088/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16088/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16088/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16088/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16088/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16088/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16088/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16088/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16088/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16088/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16088.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2693</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">172</span> Extremal Properties of Generalized Class of Close-to-convex Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Norlyda%20Mohamed">Norlyda Mohamed</a>, <a href="https://publications.waset.org/search?q=Daud%20Mohamad"> Daud Mohamad</a>, <a href="https://publications.waset.org/search?q=Shaharuddin%20Cik%20Soh"> Shaharuddin Cik Soh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let Gα ,β (γ ,δ ) denote the class of function f (z), f (0) = f ′(0)−1= 0 which satisfied e δ {αf ′(z)+ βzf ′′(z)}> γ i Re in the open unit disk D = {z ∈ı : z < 1} for some α ∈ı (α ≠ 0) , β ∈ı and γ ∈ı (0 ≤γ <α ) where δ ≤ π and α cosδ −γ > 0 . In this paper, we determine some extremal properties including distortion theorem and argument of f ′( z ) . <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Argument%20of%20f%20%E2%80%B2%28z%29" title="Argument of f ′(z) ">Argument of f ′(z) </a>, <a href="https://publications.waset.org/search?q=Carath%C3%A9odory%20Function" title=" Carathéodory Function"> Carathéodory Function</a>, <a href="https://publications.waset.org/search?q=Closeto-%0D%0Aconvex%20Function" title=" Closeto- convex Function"> Closeto- convex Function</a>, <a href="https://publications.waset.org/search?q=Distortion%20Theorem" title=" Distortion Theorem"> Distortion Theorem</a>, <a href="https://publications.waset.org/search?q=Extremal%20Properties" title=" Extremal Properties"> Extremal Properties</a> </p> <a href="https://publications.waset.org/14045/extremal-properties-of-generalized-class-of-close-to-convex-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14045/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14045/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14045/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14045/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14045/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14045/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14045/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14045/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14045/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14045/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14045.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1355</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">171</span> A Constructive Proof of the General Brouwer Fixed Point Theorem and Related Computational Results in General Non-Convex sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Menglong%20Su">Menglong Su</a>, <a href="https://publications.waset.org/search?q=Shaoyun%20Shi"> Shaoyun Shi</a>, <a href="https://publications.waset.org/search?q=Qing%20Xu"> Qing Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, by introducing twice continuously differentiable mappings, we develop an interior path following following method, which enables us to give a constructive proof of the general Brouwer fixed point theorem and thus to solve fixed point problems in a class of non-convex sets. Under suitable conditions, a smooth path can be proven to exist. This can lead to an implementable globally convergent algorithm. Several numerical examples are given to illustrate the results of this paper.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=interior%20path%20following%20method" title="interior path following method">interior path following method</a>, <a href="https://publications.waset.org/search?q=general%20Brouwer%20fixed%0D%0Apoint%20theorem" title=" general Brouwer fixed point theorem"> general Brouwer fixed point theorem</a>, <a href="https://publications.waset.org/search?q=non-convex%20sets" title=" non-convex sets"> non-convex sets</a>, <a href="https://publications.waset.org/search?q=globally%20convergent%20algorithm" title=" globally convergent algorithm"> globally convergent algorithm</a> </p> <a href="https://publications.waset.org/11175/a-constructive-proof-of-the-general-brouwer-fixed-point-theorem-and-related-computational-results-in-general-non-convex-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/11175/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/11175/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/11175/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/11175/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/11175/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/11175/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/11175/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/11175/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/11175/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/11175/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/11175.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1446</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">170</span> A Sandwich-type Theorem with Applications to Univalent Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sukhwinder%20Singh%20Billing">Sukhwinder Singh Billing</a>, <a href="https://publications.waset.org/search?q=Sushma%20Gupta"> Sushma Gupta</a>, <a href="https://publications.waset.org/search?q=Sukhjit%20Singh%20Dhaliwal"> Sukhjit Singh Dhaliwal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present paper, we obtain a sandwich-type theorem. As applications of our main result, we discuss the univalence and starlikeness of analytic functions in terms of certain differential subordinations and differential inequalities. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Univalent%20function" title="Univalent function">Univalent function</a>, <a href="https://publications.waset.org/search?q=Starlike%20function" title=" Starlike function"> Starlike function</a>, <a href="https://publications.waset.org/search?q=Differential%20subordination" title=" Differential subordination"> Differential subordination</a>, <a href="https://publications.waset.org/search?q=Differential%20superordination." title=" Differential superordination."> Differential superordination.</a> </p> <a href="https://publications.waset.org/2210/a-sandwich-type-theorem-with-applications-to-univalent-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2210/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2210/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2210/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2210/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2210/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2210/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2210/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2210/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2210/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2210/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2210.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1324</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">169</span> Coupling Time-Domain Analysis for Dynamic Positioning during S-Lay Installation </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sun%20Li-ping">Sun Li-ping</a>, <a href="https://publications.waset.org/search?q=Zhu%20Jian-xun"> Zhu Jian-xun</a>, <a href="https://publications.waset.org/search?q=Liu%20Sheng-nan"> Liu Sheng-nan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In order to study the performance of dynamic positioning system during S-lay operations, dynamic positioning system is simulated with the hull-stinger-pipe coupling effect. The roller of stinger is simulated by the generalized elastic contact theory. The stinger is composed of Morrison members. Force on pipe is calculated by lumped mass method. Time domain of fully coupled barge model is analyzed combining with PID controller, Kalman filter and allocation of thrust using Sequential Quadratic Programming method. It is also analyzed that the effect of hull wave frequency motion on pipe-stinger coupling force and dynamic positioning system. Besides, it is studied that how S-lay operations affect the dynamic positioning accuracy. The simulation results are proved to be available by checking pipe stress with API criterion. The effect of heave and yaw motion cannot be ignored on hull-stinger-pipe coupling force and dynamic positioning system. It is important to decrease the barge&rsquo;s pitch motion and lay pipe in head sea in order to improve safety of the S-lay installation and dynamic positioning.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=S-lay%20operation" title="S-lay operation">S-lay operation</a>, <a href="https://publications.waset.org/search?q=dynamic%20positioning" title=" dynamic positioning"> dynamic positioning</a>, <a href="https://publications.waset.org/search?q=coupling%20motion%3B%20time%20domain" title=" coupling motion; time domain"> coupling motion; time domain</a>, <a href="https://publications.waset.org/search?q=allocation%20of%20thrust." title=" allocation of thrust."> allocation of thrust.</a> </p> <a href="https://publications.waset.org/9998400/coupling-time-domain-analysis-for-dynamic-positioning-during-s-lay-installation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998400/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998400/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998400/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998400/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998400/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998400/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998400/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998400/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998400/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998400/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998400.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2778</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">168</span> On the Central Limit Theorems for Forward and Backward Martingales</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yilun%20Shang">Yilun Shang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let {Xi}i≥1 be a martingale difference sequence with Xi = Si - Si-1. Under some regularity conditions, we show that (X2 1+· · ·+X2N n)-1/2SNn is asymptotically normal, where {Ni}i≥1 is a sequence of positive integer-valued random variables tending to infinity. In a similar manner, a backward (or reverse) martingale central limit theorem with random indices is provided. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=central%20limit%20theorem" title="central limit theorem">central limit theorem</a>, <a href="https://publications.waset.org/search?q=martingale%20difference%20sequence" title=" martingale difference sequence"> martingale difference sequence</a>, <a href="https://publications.waset.org/search?q=backward%20martingale." title=" backward martingale."> backward martingale.</a> </p> <a href="https://publications.waset.org/15186/on-the-central-limit-theorems-for-forward-and-backward-martingales" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15186/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15186/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15186/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15186/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15186/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15186/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15186/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15186/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15186/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15186/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15186.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2781</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">167</span> Comparison of MODIS-Based Rice Extent Map and Landsat-Based Rice Classification Map in Determining Biomass Energy Potential of Rice Hull in Nueva Ecija, Philippines</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Klathea%20Sevilla">Klathea Sevilla</a>, <a href="https://publications.waset.org/search?q=Marjorie%20Remolador"> Marjorie Remolador</a>, <a href="https://publications.waset.org/search?q=Bryan%20Baltazar"> Bryan Baltazar</a>, <a href="https://publications.waset.org/search?q=Imee%20Saladaga"> Imee Saladaga</a>, <a href="https://publications.waset.org/search?q=Loureal%20Camille%20Inocencio"> Loureal Camille Inocencio</a>, <a href="https://publications.waset.org/search?q=Ma.%20Rosario%20Concepcion%20Ang"> Ma. Rosario Concepcion Ang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The underutilization of biomass resources in the Philippines, combined with its growing population and the rise in fossil fuel prices confirms demand for alternative energy sources. The goal of this paper is to provide a comparison of MODIS-based and Landsat-based agricultural land cover maps when used in the estimation of rice hull’s available energy potential. Biomass resource assessment was done using mathematical models and remote sensing techniques employed in a GIS platform. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Biomass" title="Biomass">Biomass</a>, <a href="https://publications.waset.org/search?q=geographic%20information%20system" title=" geographic information system"> geographic information system</a>, <a href="https://publications.waset.org/search?q=GIS" title=" GIS"> GIS</a>, <a href="https://publications.waset.org/search?q=renewable%20energy." title=" renewable energy."> renewable energy.</a> </p> <a href="https://publications.waset.org/10003049/comparison-of-modis-based-rice-extent-map-and-landsat-based-rice-classification-map-in-determining-biomass-energy-potential-of-rice-hull-in-nueva-ecija-philippines" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003049/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003049/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003049/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003049/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003049/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003049/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003049/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003049/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003049/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003049/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003049.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2242</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">166</span> Cryptographic Attack on Lucas Based Cryptosystems Using Chinese Remainder Theorem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tze%20Jin%20Wong">Tze Jin Wong</a>, <a href="https://publications.waset.org/search?q=Lee%20Feng%20Koo"> Lee Feng Koo</a>, <a href="https://publications.waset.org/search?q=Pang%20Hung%20Yiu"> Pang Hung Yiu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Lenstra&rsquo;s attack uses Chinese remainder theorem as a tool and requires a faulty signature to be successful. This paper reports on the security responses of fourth and sixth order Lucas based (LUC<sub>4,6</sub>) cryptosystem under the Lenstra&rsquo;s attack as compared to the other two Lucas based cryptosystems such as LUC and LUC<sub>3</sub> cryptosystems. All the Lucas based cryptosystems were exposed mathematically to the Lenstra&rsquo;s attack using Chinese Remainder Theorem and Dickson polynomial. Result shows that the possibility for successful Lenstra&rsquo;s attack is less against LUC<sub>4,6</sub> cryptosystem than LUC<sub>3</sub> and LUC cryptosystems. Current study concludes that LUC<sub>4,6</sub> cryptosystem is more secure than LUC and LUC<sub>3</sub> cryptosystems in sustaining against Lenstra&rsquo;s attack. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Lucas%20sequence" title="Lucas sequence">Lucas sequence</a>, <a href="https://publications.waset.org/search?q=Dickson%20Polynomial" title=" Dickson Polynomial"> Dickson Polynomial</a>, <a href="https://publications.waset.org/search?q=faulty%20signature" title=" faulty signature"> faulty signature</a>, <a href="https://publications.waset.org/search?q=corresponding%20signature" title=" corresponding signature"> corresponding signature</a>, <a href="https://publications.waset.org/search?q=congruence." title=" congruence. "> congruence. </a> </p> <a href="https://publications.waset.org/10010261/cryptographic-attack-on-lucas-based-cryptosystems-using-chinese-remainder-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10010261/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10010261/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10010261/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10010261/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10010261/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10010261/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10010261/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10010261/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10010261/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10010261/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10010261.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">732</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">165</span> Reduction of Search Space by Applying Controlled Genetic Operators for Weight Constrained Shortest Path Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.K.M.%20Khaled%20Ahsan%20Talukder">A.K.M. Khaled Ahsan Talukder</a>, <a href="https://publications.waset.org/search?q=Taibun%20Nessa"> Taibun Nessa</a>, <a href="https://publications.waset.org/search?q=Kaushik%20Roy"> Kaushik Roy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The weight constrained shortest path problem (WCSPP) is one of most several known basic problems in combinatorial optimization. Because of its importance in many areas of applications such as computer science, engineering and operations research, many researchers have extensively studied the WCSPP. This paper mainly concentrates on the reduction of total search space for finding WCSP using some existing Genetic Algorithm (GA). For this purpose, some controlled schemes of genetic operators are adopted on list chromosome representation. This approach gives a near optimum solution with smaller elapsed generation than classical GA technique. From further analysis on the matter, a new generalized schema theorem is also developed from the philosophy of Holland-s theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Genetic%20Algorithm" title="Genetic Algorithm">Genetic Algorithm</a>, <a href="https://publications.waset.org/search?q=Evolutionary%20Optimization" title=" Evolutionary Optimization"> Evolutionary Optimization</a>, <a href="https://publications.waset.org/search?q=Multi%20Objective%20Optimization" title="Multi Objective Optimization">Multi Objective Optimization</a>, <a href="https://publications.waset.org/search?q=Non-linear%20Schema%20Theorem" title=" Non-linear Schema Theorem"> Non-linear Schema Theorem</a>, <a href="https://publications.waset.org/search?q=WCSPP." title="WCSPP.">WCSPP.</a> </p> <a href="https://publications.waset.org/1984/reduction-of-search-space-by-applying-controlled-genetic-operators-for-weight-constrained-shortest-path-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1984/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1984/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1984/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1984/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1984/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1984/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1984/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1984/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1984/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1984/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1984.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1412</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">164</span> Recursive Wiener-Khintchine Theorem </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Khalid%20M.%20Aamir">Khalid M. Aamir</a>, <a href="https://publications.waset.org/search?q=Mohammad%20A.%20Maud"> Mohammad A. Maud</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Power Spectral Density (PSD) computed by taking the Fourier transform of auto-correlation functions (Wiener-Khintchine Theorem) gives better result, in case of noisy data, as compared to the Periodogram approach. However, the computational complexity of Wiener-Khintchine approach is more than that of the Periodogram approach. For the computation of short time Fourier transform (STFT), this problem becomes even more prominent where computation of PSD is required after every shift in the window under analysis. In this paper, recursive version of the Wiener-Khintchine theorem has been derived by using the sliding DFT approach meant for computation of STFT. The computational complexity of the proposed recursive Wiener-Khintchine algorithm, for a window size of N, is O(N).</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Power%20Spectral%20Density%20%28PSD%29" title="Power Spectral Density (PSD)">Power Spectral Density (PSD)</a>, <a href="https://publications.waset.org/search?q=Wiener-KhintchineTheorem" title=" Wiener-KhintchineTheorem"> Wiener-KhintchineTheorem</a>, <a href="https://publications.waset.org/search?q=Periodogram" title=" Periodogram"> Periodogram</a>, <a href="https://publications.waset.org/search?q=Short%20Time%20Fourier%20Transform%20%28STFT%29" title=" Short Time Fourier Transform (STFT)"> Short Time Fourier Transform (STFT)</a>, <a href="https://publications.waset.org/search?q=TheSliding%20DFT." title=" TheSliding DFT."> TheSliding DFT.</a> </p> <a href="https://publications.waset.org/5905/recursive-wiener-khintchine-theorem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5905/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5905/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5905/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5905/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5905/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5905/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5905/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5905/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5905/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5905/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5905.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2484</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">163</span> Some Applications of Gröbner bases</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hassan%20Noori">Hassan Noori</a>, <a href="https://publications.waset.org/search?q=Abdolali%20Basiri"> Abdolali Basiri</a>, <a href="https://publications.waset.org/search?q=Sajjad%20Rahmany"> Sajjad Rahmany</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper we will introduce a brief introduction to theory of Gr¨obner bases and some applications of Gr¨obner bases to graph coloring problem, automatic geometric theorem proving and cryptography. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Gr%C2%A8obner%20bases" title="Gr¨obner bases">Gr¨obner bases</a>, <a href="https://publications.waset.org/search?q=Application%20of%20Gr%C2%A8obner%20bases" title=" Application of Gr¨obner bases"> Application of Gr¨obner bases</a>, <a href="https://publications.waset.org/search?q=Automatic%0D%0AGeometric%20Theorem%20Proving" title=" Automatic Geometric Theorem Proving"> Automatic Geometric Theorem Proving</a>, <a href="https://publications.waset.org/search?q=Graph%20Coloring" title=" Graph Coloring"> Graph Coloring</a>, <a href="https://publications.waset.org/search?q=Cryptography." title=" Cryptography."> Cryptography.</a> </p> <a href="https://publications.waset.org/341/some-applications-of-grobner-bases" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/341/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/341/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/341/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/341/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/341/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/341/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/341/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/341/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/341/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/341/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/341.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">4916</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">162</span> Quadrilateral Decomposition by Two-Ear Property Resulting in CAD Segmentation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Maharavo%20Randrianarivony">Maharavo Randrianarivony</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective is to split a simply connected polygon into a set of convex quadrilaterals without inserting new boundary nodes. The presented approach consists in repeatedly removing quadrilaterals from the polygon. Theoretical results pertaining to quadrangulation of simply connected polygons are derived from the usual 2-ear theorem. It produces a quadrangulation technique with O(n) number of quadrilaterals. The theoretical methodology is supplemented by practical results and CAD surface segmentation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quadrangulation" title="Quadrangulation">Quadrangulation</a>, <a href="https://publications.waset.org/search?q=simply%20connected" title=" simply connected"> simply connected</a>, <a href="https://publications.waset.org/search?q=two-ear%20theorem." title=" two-ear theorem."> two-ear theorem.</a> </p> <a href="https://publications.waset.org/1868/quadrilateral-decomposition-by-two-ear-property-resulting-in-cad-segmentation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1868/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1868/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1868/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1868/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1868/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1868/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1868/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1868/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1868/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1868/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1868.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1255</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/search?q=Hull%20theorem&amp;page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/search?q=Hull%20theorem&amp;page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/search?q=Hull%20theorem&amp;page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/search?q=Hull%20theorem&amp;page=5">5</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/search?q=Hull%20theorem&amp;page=6">6</a></li> <li class="page-item"><a class="page-link" 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