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curve.</title> <meta name="description" content="Search results for: U curve."> <meta name="keywords" content="U curve."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" 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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="U curve."> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 393</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: U curve.</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">393</span> The Control Vector Scheme for Design of Planar Primitive PH curves </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ching-Shoei%20Chiang">Ching-Shoei Chiang</a>, <a href="https://publications.waset.org/search?q=Sheng-Hsin%20Tsai"> Sheng-Hsin Tsai</a>, <a href="https://publications.waset.org/search?q=James%20Chen"> James Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The PH curve can be constructed by given parameters, but the shape of the curve is not so easy to image from the value of the parameters. On the contract, Bézier curve can be constructed by the control polygon, and from the control polygon, we can image the figure of the curve. In this paper, we want to use the hodograph of Bézier curve to construct PH curve by selecting part of the control vectors, and produce other control vectors, so the property of PH curve exists. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=PH%20curve" title="PH curve">PH curve</a>, <a href="https://publications.waset.org/search?q=hodograph" title=" hodograph"> hodograph</a>, <a href="https://publications.waset.org/search?q=B%C3%A9zier%20curve." title=" Bézier curve."> Bézier curve.</a> </p> <a href="https://publications.waset.org/4406/the-control-vector-scheme-for-design-of-planar-primitive-ph-curves" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4406/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4406/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4406/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4406/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4406/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4406/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4406/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4406/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4406/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4406/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4406.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">1494</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">392</span> Comparison of the Distillation Curve Obtained Experimentally with the Curve Extrapolated by a Commercial Simulator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=L%C3%ADvia%20B.%20Meirelles">Lívia B. Meirelles</a>, <a href="https://publications.waset.org/search?q=Erika%20C.%20A.%20N.%20Chrisman"> Erika C. A. N. Chrisman</a>, <a href="https://publications.waset.org/search?q=Fl%C3%A1via%20B.%20de%20Andrade"> Flávia B. de Andrade</a>, <a href="https://publications.waset.org/search?q=Lilian%20C.%20M.%20de%20Oliveira"> Lilian C. M. de Oliveira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> True Boiling Point distillation (TBP) is one of the most common experimental techniques for the determination of petroleum properties. This curve provides information about the performance of petroleum in terms of its cuts. The experiment is performed in a few days. Techniques are used to determine the properties faster with a software that calculates the distillation curve when a little information about crude oil is known. In order to evaluate the accuracy of distillation curve prediction, eight points of the TBP curve and specific gravity curve (348 K and 523 K) were inserted into the HYSYS Oil Manager, and the extended curve was evaluated up to 748 K. The methods were able to predict the curve with the accuracy of 0.6%-9.2% error (Software X ASTM), 0.2%-5.1% error (Software X Spaltrohr). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Distillation%20curve" title="Distillation curve">Distillation curve</a>, <a href="https://publications.waset.org/search?q=petroleum%20distillation" title=" petroleum distillation"> petroleum distillation</a>, <a href="https://publications.waset.org/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/search?q=true%20boiling%20point%20curve." title=" true boiling point curve."> true boiling point curve.</a> </p> <a href="https://publications.waset.org/10006668/comparison-of-the-distillation-curve-obtained-experimentally-with-the-curve-extrapolated-by-a-commercial-simulator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006668/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006668/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006668/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006668/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006668/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006668/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006668/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006668/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006668/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006668/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006668.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">1625</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">391</span> Approximating Maximum Speed on Road from Curvature Information of Bezier Curve</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Y.%20Misro">M. Y. Misro</a>, <a href="https://publications.waset.org/search?q=A.%20Ramli"> A. Ramli</a>, <a href="https://publications.waset.org/search?q=J.%20M.%20Ali"> J. M. Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Bezier curves have useful properties for path generation problem, for instance, it can generate the reference trajectory for vehicles to satisfy the path constraints. Both algorithms join cubic Bezier curve segment smoothly to generate the path. Some of the useful properties of Bezier are curvature. In mathematics, curvature is the amount by which a geometric object deviates from being flat, or straight in the case of a line. Another extrinsic example of curvature is a circle, where the curvature is equal to the reciprocal of its radius at any point on the circle. The smaller the radius, the higher the curvature thus the vehicle needs to bend sharply. In this study, we use Bezier curve to fit highway-like curve. We use different approach to find the best approximation for the curve so that it will resembles highway-like curve. We compute curvature value by analytical differentiation of the Bezier Curve. We will then compute the maximum speed for driving using the curvature information obtained. Our research works on some assumptions; first, the Bezier curve estimates the real shape of the curve which can be verified visually. Even though, fitting process of Bezier curve does not interpolate exactly on the curve of interest, we believe that the estimation of speed are acceptable. We verified our result with the manual calculation of the curvature from the map. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Speed%20estimation" title="Speed estimation">Speed estimation</a>, <a href="https://publications.waset.org/search?q=path%20constraints" title=" path constraints"> path constraints</a>, <a href="https://publications.waset.org/search?q=reference%0D%0Atrajectory" title=" reference trajectory"> reference trajectory</a>, <a href="https://publications.waset.org/search?q=Bezier%20curve." title=" Bezier curve."> Bezier curve.</a> </p> <a href="https://publications.waset.org/10003165/approximating-maximum-speed-on-road-from-curvature-information-of-bezier-curve" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003165/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003165/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003165/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003165/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003165/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003165/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003165/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003165/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003165/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003165/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003165.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">4057</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">390</span> Parametric Transition as a Spiral Curve and Its Application in Spur Gear Tooth with FEA</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20H.%20Yahaya">S. H. Yahaya</a>, <a href="https://publications.waset.org/search?q=J.%20M.%20Ali"> J. M. Ali</a>, <a href="https://publications.waset.org/search?q=T.A.%20Abdullah"> T.A. Abdullah</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The exploration of this paper will focus on the Cshaped transition curve. This curve is designed by using the concept of circle to circle where one circle lies inside other. The degree of smoothness employed is curvature continuity. The function used in designing the C-curve is Bézier-like cubic function. This function has a low degree, flexible for the interactive design of curves and surfaces and has a shape parameter. The shape parameter is used to control the C-shape curve. Once the C-shaped curve design is completed, this curve will be applied to design spur gear tooth. After the tooth design procedure is finished, the design will be analyzed by using Finite Element Analysis (FEA). This analysis is used to find out the applicability of the tooth design and the gear material that chosen. In this research, Cast Iron 4.5 % Carbon, ASTM A-48 is selected as a gear material. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=B%C3%A9zier-like%20cubic%20function" title="Bézier-like cubic function">Bézier-like cubic function</a>, <a href="https://publications.waset.org/search?q=Curvature%20continuity" title=" Curvature continuity"> Curvature continuity</a>, <a href="https://publications.waset.org/search?q=Cshapedtransition%20curve" title=" Cshapedtransition curve"> Cshapedtransition curve</a>, <a href="https://publications.waset.org/search?q=Spur%20gear%20tooth." title=" Spur gear tooth."> Spur gear tooth.</a> </p> <a href="https://publications.waset.org/2645/parametric-transition-as-a-spiral-curve-and-its-application-in-spur-gear-tooth-with-fea" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2645/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2645/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2645/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2645/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2645/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2645/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2645/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2645/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2645/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2645/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2645.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">2340</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">389</span> Determination the Curve Number Catchment by Using GIS and Remote Sensing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abouzar%20Nasiri">Abouzar Nasiri</a>, <a href="https://publications.waset.org/search?q=Hamid%20Alipur"> Hamid Alipur</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In recent years, geographic information systems (GIS) and remote sensing using has increased to estimate runoff catchment. In this research, runoff curve number maps for captive catchment of Tehran by helping GIS and also remote sensing which based on factors such as vegetation, lands using, group of soil hydrology and hydrological conditions were obtained. Runoff curve numbers map was obtained by combining these maps in ARC GIS and SCS table. To evaluate the accuracy of the results, the maximum flow rate of flood which was obtained from curve numbers, was compared with the measured maximum flood rate at the watershed outlet and correctness of curve numbers were approved.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Curve%20number" title="Curve number">Curve number</a>, <a href="https://publications.waset.org/search?q=GIS" title=" GIS"> GIS</a>, <a href="https://publications.waset.org/search?q=Remote%20sensing" title=" Remote sensing"> Remote sensing</a>, <a href="https://publications.waset.org/search?q=Runoff." title=" Runoff."> Runoff.</a> </p> <a href="https://publications.waset.org/9998929/determination-the-curve-number-catchment-by-using-gis-and-remote-sensing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998929/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998929/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998929/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998929/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998929/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998929/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998929/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998929/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998929/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998929/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998929.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">4978</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">388</span> Accurate Dimensional Measurement of 3D Round Holes Based on Stereo Vision</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zhiguo%20Ren">Zhiguo Ren</a>, <a href="https://publications.waset.org/search?q=Lilong%20Cai"> Lilong Cai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper present an effective method to accurately reconstruct and measure the 3D curve edges of small industrial parts based on stereo vision. To effectively fit the curve of the measured parts using a series of line segments in the images, a strategy from coarse to fine is employed based on multi-scale curve fitting. After reconstructing the 3D curve of a hole through a curved surface, its axis is adjusted so that it is parallel to the Z axis with least squares error and the dimensions of the hole can be calculated on the XY plane easily. Experimental results show that the presented method can accurately measure the dimensions of round holes through a curved surface.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stereo%20Vision" title="Stereo Vision">Stereo Vision</a>, <a href="https://publications.waset.org/search?q=3D%20Round%20Hole%20Measurement" title=" 3D Round Hole Measurement"> 3D Round Hole Measurement</a>, <a href="https://publications.waset.org/search?q=Curve%20Fitting" title=" Curve Fitting"> Curve Fitting</a>, <a href="https://publications.waset.org/search?q=3D%20Curve%20Reconstruction" title=" 3D Curve Reconstruction"> 3D Curve Reconstruction</a>, <a href="https://publications.waset.org/search?q=Least%20Squares%20Error." title=" Least Squares Error."> Least Squares Error.</a> </p> <a href="https://publications.waset.org/2552/accurate-dimensional-measurement-of-3d-round-holes-based-on-stereo-vision" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2552/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2552/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2552/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2552/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2552/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2552/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2552/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2552/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2552/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2552/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2552.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">1627</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">387</span> Solving 94-bit ECDLP with 70 Computers in Parallel</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shunsuke%20Miyoshi">Shunsuke Miyoshi</a>, <a href="https://publications.waset.org/search?q=Yasuyuki%20Nogami"> Yasuyuki Nogami</a>, <a href="https://publications.waset.org/search?q=Takuya%20Kusaka"> Takuya Kusaka</a>, <a href="https://publications.waset.org/search?q=Nariyoshi%20Yamai"> Nariyoshi Yamai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Elliptic curve discrete logarithm problem(ECDLP) is one of problems on which the security of pairing-based cryptography is based. This paper considers Pollard’s rho method to evaluate the security of ECDLP on Barreto-Naehrig(BN) curve that is an efficient pairing-friendly curve. Some techniques are proposed to make the rho method efficient. Especially, the group structure on BN curve, distinguished point method, and Montgomery trick are well-known techniques. This paper applies these techniques and shows its optimization. According to the experimental results for which a large-scale parallel system with MySQL is applied, 94-bit ECDLP was solved about 28 hours by parallelizing 71 computers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Pollard%E2%80%99s%20rho%20method" title="Pollard’s rho method">Pollard’s rho method</a>, <a href="https://publications.waset.org/search?q=BN%20curve" title=" BN curve"> BN curve</a>, <a href="https://publications.waset.org/search?q=Montgomery%0D%0Amultiplication." title=" Montgomery multiplication."> Montgomery multiplication.</a> </p> <a href="https://publications.waset.org/10002414/solving-94-bit-ecdlp-with-70-computers-in-parallel" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002414/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002414/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002414/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002414/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002414/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002414/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002414/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002414/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002414/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002414/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002414.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">1871</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">386</span> Generating Arabic Fonts Using Rational Cubic Ball Functions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fakharuddin%20Ibrahim">Fakharuddin Ibrahim</a>, <a href="https://publications.waset.org/search?q=Jamaludin%20Md.%20Ali"> Jamaludin Md. Ali</a>, <a href="https://publications.waset.org/search?q=Ahmad%20Ramli"> Ahmad Ramli </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we will discuss about the data interpolation by using the rational cubic Ball curve. To generate a curve with a better and satisfactory smoothness, the curve segments must be connected with a certain amount of continuity. The continuity that we will consider is of type G<sup>1</sup> continuity. The conditions considered are known as the G<sup>1</sup> Hermite condition. A simple application of the proposed method is to generate an Arabic font satisfying the required continuity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Continuity" title="Continuity">Continuity</a>, <a href="https://publications.waset.org/search?q=data%20interpolation" title=" data interpolation"> data interpolation</a>, <a href="https://publications.waset.org/search?q=Hermite%20condition" title=" Hermite condition"> Hermite condition</a>, <a href="https://publications.waset.org/search?q=rational%20Ball%20curve." title=" rational Ball curve."> rational Ball curve.</a> </p> <a href="https://publications.waset.org/10003569/generating-arabic-fonts-using-rational-cubic-ball-functions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003569/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003569/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003569/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003569/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003569/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003569/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003569/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003569/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003569/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003569/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003569.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">1467</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">385</span> Proposed Developments of Elliptic Curve Digital Signature Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sattar%20B.%20Sadkhan">Sattar B. Sadkhan</a>, <a href="https://publications.waset.org/search?q=Najlae%20Falah%20Hameed"> Najlae Falah Hameed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Elliptic Curve Digital Signature Algorithm (ECDSA) is the elliptic curve analogue of DSA, where it is a digital signature scheme designed to provide a digital signature based on a secret number known only to the signer and also on the actual message being signed. These digital signatures are considered the digital counterparts to handwritten signatures, and are the basis for validating the authenticity of a connection. The security of these schemes results from the infeasibility to compute the signature without the private key. In this paper we introduce a proposed to development the original ECDSA with more complexity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elliptic%20Curve%20Digital%20Signature%20Algorithm" title="Elliptic Curve Digital Signature Algorithm">Elliptic Curve Digital Signature Algorithm</a>, <a href="https://publications.waset.org/search?q=DSA." title=" DSA."> DSA.</a> </p> <a href="https://publications.waset.org/4584/proposed-developments-of-elliptic-curve-digital-signature-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4584/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4584/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4584/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4584/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4584/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4584/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4584/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4584/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4584/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4584/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4584.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">1672</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">384</span> Detection of Keypoint in Press-Fit Curve Based on Convolutional Neural Network</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shoujia%20Fang">Shoujia Fang</a>, <a href="https://publications.waset.org/search?q=Guoqing%20Ding"> Guoqing Ding</a>, <a href="https://publications.waset.org/search?q=Xin%20Chen"> Xin Chen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The quality of press-fit assembly is closely related to reliability and safety of product. The paper proposed a keypoint detection method based on convolutional neural network to improve the accuracy of keypoint detection in press-fit curve. It would provide an auxiliary basis for judging quality of press-fit assembly. The press-fit curve is a curve of press-fit force and displacement. Both force data and distance data are time-series data. Therefore, one-dimensional convolutional neural network is used to process the press-fit curve. After the obtained press-fit data is filtered, the multi-layer one-dimensional convolutional neural network is used to perform the automatic learning of press-fit curve features, and then sent to the multi-layer perceptron to finally output keypoint of the curve. We used the data of press-fit assembly equipment in the actual production process to train CNN model, and we used different data from the same equipment to evaluate the performance of detection. Compared with the existing research result, the performance of detection was significantly improved. This method can provide a reliable basis for the judgment of press-fit quality. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Keypoint%20detection" title="Keypoint detection">Keypoint detection</a>, <a href="https://publications.waset.org/search?q=curve%20feature" title=" curve feature"> curve feature</a>, <a href="https://publications.waset.org/search?q=convolutional%20neural%0D%0Anetwork" title=" convolutional neural network"> convolutional neural network</a>, <a href="https://publications.waset.org/search?q=press-fit%20assembly." title=" press-fit assembly."> press-fit assembly.</a> </p> <a href="https://publications.waset.org/10009883/detection-of-keypoint-in-press-fit-curve-based-on-convolutional-neural-network" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10009883/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10009883/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10009883/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10009883/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10009883/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10009883/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10009883/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10009883/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10009883/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10009883/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10009883.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">941</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">383</span> Choosing between the Regression Correlation, the Rank Correlation, and the Correlation Curve</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Roger%20L%20Goodwin">Roger L Goodwin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a rank correlation curve. The traditional correlation coefficient is valid for both continuous variables and for integer variables using rank statistics. Since the correlation coefficient has already been established in rank statistics by Spearman, such a calculation can be extended to the correlation curve. This paper presents two survey questions. The survey collected non-continuous variables. We will show weak to moderate correlation. Obviously, one question has a negative effect on the other. A review of the qualitative literature can answer which question and why. The rank correlation curve shows which collection of responses has a positive slope and which collection of responses has a negative slope. Such information is unavailable from the flat, ”first-glance” correlation statistics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bayesian%20estimation" title="Bayesian estimation">Bayesian estimation</a>, <a href="https://publications.waset.org/search?q=regression%20model" title=" regression model"> regression model</a>, <a href="https://publications.waset.org/search?q=rank%0D%0Astatistics" title=" rank statistics"> rank statistics</a>, <a href="https://publications.waset.org/search?q=correlation" title=" correlation"> correlation</a>, <a href="https://publications.waset.org/search?q=correlation%20curve." title=" correlation curve."> correlation curve.</a> </p> <a href="https://publications.waset.org/10001557/choosing-between-the-regression-correlation-the-rank-correlation-and-the-correlation-curve" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001557/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001557/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001557/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001557/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001557/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001557/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001557/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001557/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001557/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001557/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001557.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">1617</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">382</span> Cost and Productivity Experiences of Pakistan with Aggregate Learning Curve</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jamshaid%20ur%20Rehman">Jamshaid ur Rehman</a>, <a href="https://publications.waset.org/search?q=Shahida%20Wizarat"> Shahida Wizarat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The principal focus of this study is on the measurement and analysis of labor learnings in Pakistan. The study at the aggregate economy level focus on the labor productivity movements and at large-scale manufacturing level focus on the cost structure, with isolating the contribution of the learning curve. The analysis of S-shaped curve suggests that learnings are only below one half of aggregate learning curve and other half shows the retardation in learning, hence retardation in productivity movements. The study implies the existence of learning economies in term of cost reduction that is input cost per unit produced decreases by 0.51 percent every time the cumulative production output doubles. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Cost" title="Cost">Cost</a>, <a href="https://publications.waset.org/search?q=Inflection%20Point" title=" Inflection Point"> Inflection Point</a>, <a href="https://publications.waset.org/search?q=Learning%20Curve" title=" Learning Curve"> Learning Curve</a>, <a href="https://publications.waset.org/search?q=Minima" title="Minima">Minima</a>, <a href="https://publications.waset.org/search?q=Maxima" title=" Maxima"> Maxima</a>, <a href="https://publications.waset.org/search?q=and%20Productivity" title=" and Productivity"> and Productivity</a> </p> <a href="https://publications.waset.org/7272/cost-and-productivity-experiences-of-pakistan-with-aggregate-learning-curve" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7272/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7272/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7272/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7272/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7272/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7272/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7272/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7272/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7272/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7272/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7272.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">1787</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">381</span> Preparing the Curve Number (CN) and Surface Runoff Coefficient (C) Map of the Basin in the Aghche Watershed, Iran</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ali%20Gholami">Ali Gholami</a>, <a href="https://publications.waset.org/search?q=Ebrahim%20Panahpour"> Ebrahim Panahpour</a>, <a href="https://publications.waset.org/search?q=Amir%20Hossein%20Davami"> Amir Hossein Davami</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this research, a part of Aghche basin in Isfahan province with an area about 2000 hectars, was chosen to be obtain curve number coefficient runoff and W indicator in second Cook method By using aerial photos 1968 and 1995, the satellite data of the IRS in 2008. Then the process of land use changes in the period of study and its effect on the changes of curve number (CN), W indicator and surface runoff coefficient (C) of the basin was investigated. These results showed that on the track of these land use changes the weight averages curve number (CN), surface runoff coefficient (C) and W indicator of the basin were increased to 0.92, 0.02 and 0.78 unit in the first period of study and 1.18, 0.03, 0.99 Unit in the second period of study respectively. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Aghche%20Watershed" title="Aghche Watershed">Aghche Watershed</a>, <a href="https://publications.waset.org/search?q=Curve%20Numbers%20%28CV%29" title=" Curve Numbers (CV)"> Curve Numbers (CV)</a>, <a href="https://publications.waset.org/search?q=Land%20UseChanges" title=" Land UseChanges"> Land UseChanges</a>, <a href="https://publications.waset.org/search?q=Surface%20Runoff%20Coefficient%28C%29%20Map" title=" Surface Runoff Coefficient(C) Map"> Surface Runoff Coefficient(C) Map</a>, <a href="https://publications.waset.org/search?q=W%20indicator" title=" W indicator"> W indicator</a> </p> <a href="https://publications.waset.org/845/preparing-the-curve-number-cn-and-surface-runoff-coefficient-c-map-of-the-basin-in-the-aghche-watershed-iran" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/845/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/845/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/845/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/845/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/845/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/845/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/845/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/845/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/845/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/845/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/845.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">2787</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">380</span> On the Determination of a Time-like Dual Curve in Dual Lorentzian Space</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Emin%20%C3%96zy%C4%B1lmaz">Emin Özyılmaz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, position vector of a time-like dual curve according to standard frame of D31 is investigated. First, it is proven that position vector of a time-like dual curve satisfies a dual vector differential equation of fourth order. The general solution of this dual vector differential equation has not yet been found. Due to this, in terms of special solutions, position vectors of some special time-like dual curves with respect to standard frame of D31 are presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Classical%20Differential%20Geometry" title="Classical Differential Geometry">Classical Differential Geometry</a>, <a href="https://publications.waset.org/search?q=Dual%20Numbers" title=" Dual Numbers"> Dual Numbers</a>, <a href="https://publications.waset.org/search?q=DualFrenet%20Equations" title=" DualFrenet Equations"> DualFrenet Equations</a>, <a href="https://publications.waset.org/search?q=Time-like%20Dual%20Curve" title=" Time-like Dual Curve"> Time-like Dual Curve</a>, <a href="https://publications.waset.org/search?q=Position%20Vector" title=" Position Vector"> Position Vector</a>, <a href="https://publications.waset.org/search?q=DualLorentzian%20Space." title=" DualLorentzian Space."> DualLorentzian Space.</a> </p> <a href="https://publications.waset.org/15400/on-the-determination-of-a-time-like-dual-curve-in-dual-lorentzian-space" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15400/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15400/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15400/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15400/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15400/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15400/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15400/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15400/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15400/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15400/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15400.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">1468</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">379</span> ROC Analysis of PVC Detection Algorithm using ECG and Vector-ECG Charateristics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.%20S.%20Nah">J. S. Nah</a>, <a href="https://publications.waset.org/search?q=A.%20Y.%20Jeon"> A. Y. Jeon</a>, <a href="https://publications.waset.org/search?q=J.%20H.%20Ro"> J. H. Ro</a>, <a href="https://publications.waset.org/search?q=G.%20R.%20Jeon"> G. R. Jeon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> ECG analysis method was developed using ROC analysis of PVC detecting algorithm. ECG signal of MIT-BIH arrhythmia database was analyzed by MATLAB. First of all, the baseline was removed by median filter to preprocess the ECG signal. R peaks were detected for ECG analysis method, and normal VCG was extracted for VCG analysis method. Four PVC detecting algorithm was analyzed by ROC curve, which parameters are maximum amplitude of QRS complex, width of QRS complex, r-r interval and geometric mean of VCG. To set cut-off value of parameters, ROC curve was estimated by true-positive rate (sensitivity) and false-positive rate. sensitivity and false negative rate (specificity) of ROC curve calculated, and ECG was analyzed using cut-off value which was estimated from ROC curve. As a result, PVC detecting algorithm of VCG geometric mean have high availability, and PVC could be detected more accurately with amplitude and width of QRS complex. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Vectorcardiogram%20%28VCG%29" title="Vectorcardiogram (VCG)">Vectorcardiogram (VCG)</a>, <a href="https://publications.waset.org/search?q=Premature%20Ventricular%0Acontraction%20%28PVC%29" title=" Premature Ventricular contraction (PVC)"> Premature Ventricular contraction (PVC)</a>, <a href="https://publications.waset.org/search?q=ROC%20%28receiver%20operating%20characteristic%29%20curve" title=" ROC (receiver operating characteristic) curve"> ROC (receiver operating characteristic) curve</a>, <a href="https://publications.waset.org/search?q=ECG" title=" ECG"> ECG</a> </p> <a href="https://publications.waset.org/2831/roc-analysis-of-pvc-detection-algorithm-using-ecg-and-vector-ecg-charateristics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2831/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2831/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2831/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2831/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2831/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2831/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2831/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2831/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2831/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2831/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2831.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">2945</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">378</span> The Study of Relative Efficiency in Growth Curve Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nan%20Chen">Nan Chen</a>, <a href="https://publications.waset.org/search?q=Baoguang%20Tian"> Baoguang Tian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, some relative efficiency have been discussed, including the LSE estimate with respect to BLUE in curve model. Four new kinds of relative efficiency have defined, and their upper bounds have been discussed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Relative%20efficiency" title="Relative efficiency">Relative efficiency</a>, <a href="https://publications.waset.org/search?q=LSE%20estimate" title=" LSE estimate"> LSE estimate</a>, <a href="https://publications.waset.org/search?q=BLUE%20estimate" title=" BLUE estimate"> BLUE estimate</a>, <a href="https://publications.waset.org/search?q=Upper%20bound" title=" Upper bound"> Upper bound</a>, <a href="https://publications.waset.org/search?q=Curve%20model." title=" Curve model."> Curve model.</a> </p> <a href="https://publications.waset.org/10000672/the-study-of-relative-efficiency-in-growth-curve-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000672/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000672/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000672/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000672/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000672/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000672/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000672/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10000672/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10000672/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10000672/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10000672.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">1437</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">377</span> A Bathtub Curve from Nonparametric Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Eduardo%20C.%20Guardia">Eduardo C. Guardia</a>, <a href="https://publications.waset.org/search?q=Jose%20W.%20M.%20Lima"> Jose W. M. Lima</a>, <a href="https://publications.waset.org/search?q=Afonso%20H.%20M.%20Santos"> Afonso H. M. Santos</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents a nonparametric method to obtain the hazard rate “Bathtub curve” for power system components. The model is a mixture of the three known phases of a component life, the decreasing failure rate (DFR), the constant failure rate (CFR) and the increasing failure rate (IFR) represented by three parametric Weibull models. The parameters are obtained from a simultaneous fitting process of the model to the Kernel nonparametric hazard rate curve. From the Weibull parameters and failure rate curves the useful lifetime and the characteristic lifetime were defined. To demonstrate the model the historic time-to-failure of distribution transformers were used as an example. The resulted “Bathtub curve” shows the failure rate for the equipment lifetime which can be applied in economic and replacement decision models.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bathtub%20curve" title="Bathtub curve">Bathtub curve</a>, <a href="https://publications.waset.org/search?q=failure%20analysis" title=" failure analysis"> failure analysis</a>, <a href="https://publications.waset.org/search?q=lifetime%20estimation" title=" lifetime estimation"> lifetime estimation</a>, <a href="https://publications.waset.org/search?q=parameter%20estimation" title=" parameter estimation"> parameter estimation</a>, <a href="https://publications.waset.org/search?q=Weibull%20distribution." title=" Weibull distribution."> Weibull distribution.</a> </p> <a href="https://publications.waset.org/9998506/a-bathtub-curve-from-nonparametric-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998506/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998506/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998506/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998506/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998506/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998506/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998506/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998506/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998506/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998506/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998506.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">2234</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">376</span> A Simple Method for Tracing PV Curve of a Radial Transmission Line</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Asfar%20Ali%20Khan">Asfar Ali Khan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Analytical expression for maximum power transfer through a transmission line limited by voltage stability has been formulated using exact representation of transmission line with ABCD parameters. The expression has been used for plotting PV curve at different power factors of a radial transmission line. Limiting values of reactive power have been obtained. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Power%20Transfer" title="Power Transfer">Power Transfer</a>, <a href="https://publications.waset.org/search?q=PV%20Curve" title=" PV Curve"> PV Curve</a>, <a href="https://publications.waset.org/search?q=Voltage%20Stability." title=" Voltage Stability."> Voltage Stability.</a> </p> <a href="https://publications.waset.org/4855/a-simple-method-for-tracing-pv-curve-of-a-radial-transmission-line" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4855/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4855/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4855/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4855/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4855/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4855/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4855/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4855/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4855/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4855/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4855.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">3317</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">375</span> Application of Generalized NAUT B-Spline Curveon Circular Domain to Generate Circle Involute</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ashok%20Ganguly">Ashok Ganguly</a>, <a href="https://publications.waset.org/search?q=Pranjali%20Arondekar"> Pranjali Arondekar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the present paper, we use generalized B-Spline curve in trigonometric form on circular domain, to capture the transcendental nature of circle involute curve and uncertainty characteristic of design. The required involute curve get generated within the given tolerance limit and is useful in gear design.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=B%C3%A9zier" title="Bézier">Bézier</a>, <a href="https://publications.waset.org/search?q=Circle%20Involute" title="Circle Involute">Circle Involute</a>, <a href="https://publications.waset.org/search?q=NAUT%20B-Spline" title=" NAUT B-Spline"> NAUT B-Spline</a>, <a href="https://publications.waset.org/search?q=Spur%20Gear." title=" Spur Gear."> Spur Gear.</a> </p> <a href="https://publications.waset.org/2074/application-of-generalized-naut-b-spline-curveon-circular-domain-to-generate-circle-involute" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2074/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2074/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2074/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2074/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2074/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2074/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2074/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2074/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2074/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2074/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2074.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">1792</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">374</span> Position Vector of a Partially Null Curve Derived from a Vector Differential Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S%C3%BCha%20Y%C4%B1lmaz">Süha Yılmaz</a>, <a href="https://publications.waset.org/search?q=Emin%20%C3%96zy%C4%B1lmaz"> Emin Özyılmaz</a>, <a href="https://publications.waset.org/search?q=Melih%20Turgut"> Melih Turgut</a>, <a href="https://publications.waset.org/search?q=%C5%9Euur%20Nizamo%C4%9Flu"> Şuur Nizamoğlu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, position vector of a partially null unit speed curve with respect to standard frame of Minkowski space-time is studied. First, it is proven that position vector of every partially null unit speed curve satisfies a vector differential equation of fourth order. In terms of solution of the differential equation, position vector of a partially null unit speed curve is expressed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Frenet%20Equations" title="Frenet Equations">Frenet Equations</a>, <a href="https://publications.waset.org/search?q=Partially%20Null%20Curves" title=" Partially Null Curves"> Partially Null Curves</a>, <a href="https://publications.waset.org/search?q=Minkowski%20Space-time" title=" Minkowski Space-time"> Minkowski Space-time</a>, <a href="https://publications.waset.org/search?q=Vector%20Differential%20Equation." title=" Vector Differential Equation."> Vector Differential Equation.</a> </p> <a href="https://publications.waset.org/4796/position-vector-of-a-partially-null-curve-derived-from-a-vector-differential-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4796/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4796/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4796/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4796/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4796/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4796/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4796/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4796/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4796/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4796/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4796.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">1161</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">373</span> An Approach to Polynomial Curve Comparison in Geometric Object Database</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Chanon%20Aphirukmatakun">Chanon Aphirukmatakun</a>, <a href="https://publications.waset.org/search?q=Natasha%20Dejdumrong"> Natasha Dejdumrong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In image processing and visualization, comparing two bitmapped images needs to be compared from their pixels by matching pixel-by-pixel. Consequently, it takes a lot of computational time while the comparison of two vector-based images is significantly faster. Sometimes these raster graphics images can be approximately converted into the vector-based images by various techniques. After conversion, the problem of comparing two raster graphics images can be reduced to the problem of comparing vector graphics images. Hence, the problem of comparing pixel-by-pixel can be reduced to the problem of polynomial comparisons. In computer aided geometric design (CAGD), the vector graphics images are the composition of curves and surfaces. Curves are defined by a sequence of control points and their polynomials. In this paper, the control points will be considerably used to compare curves. The same curves after relocated or rotated are treated to be equivalent while two curves after different scaled are considered to be similar curves. This paper proposed an algorithm for comparing the polynomial curves by using the control points for equivalence and similarity. In addition, the geometric object-oriented database used to keep the curve information has also been defined in XML format for further used in curve comparisons. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bezier%20curve" title="Bezier curve">Bezier curve</a>, <a href="https://publications.waset.org/search?q=Said-Ball%20curve" title=" Said-Ball curve"> Said-Ball curve</a>, <a href="https://publications.waset.org/search?q=Wang-Ball%20curve" title=" Wang-Ball curve"> Wang-Ball curve</a>, <a href="https://publications.waset.org/search?q=DP%20curve" title=" DP curve"> DP curve</a>, <a href="https://publications.waset.org/search?q=CAGD" title=" CAGD"> CAGD</a>, <a href="https://publications.waset.org/search?q=comparison" title=" comparison"> comparison</a>, <a href="https://publications.waset.org/search?q=geometric%20object%20database." title=" geometric object database."> geometric object database.</a> </p> <a href="https://publications.waset.org/4806/an-approach-to-polynomial-curve-comparison-in-geometric-object-database" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4806/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4806/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4806/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4806/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4806/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4806/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4806/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4806/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4806/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4806/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4806.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">2218</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">372</span> Dynamic Voltage Stability Estimation using Particle Filter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Osea%20Zebua">Osea Zebua</a>, <a href="https://publications.waset.org/search?q=Norikazu%20Ikoma"> Norikazu Ikoma</a>, <a href="https://publications.waset.org/search?q=Hiroshi%20Maeda"> Hiroshi Maeda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of voltage stability based on optimal filtering method is presented. PV curve is used as a tool for voltage stability analysis. Dynamic voltage stability estimation is done by using particle filter method. Optimum value (nose point) of PV curve can be estimated by estimating parameter of PV curve equation optimal value represents critical voltage and condition at specified point of measurement. Voltage stability is then estimated by analyzing loading margin condition c stimating equation. This maximum loading ecified dynamically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=normalized%20PV%20curve" title="normalized PV curve">normalized PV curve</a>, <a href="https://publications.waset.org/search?q=optimal%20filtering%20method%20particle%20filter" title=" optimal filtering method particle filter"> optimal filtering method particle filter</a>, <a href="https://publications.waset.org/search?q=voltage%20stability." title=" voltage stability."> voltage stability.</a> </p> <a href="https://publications.waset.org/3538/dynamic-voltage-stability-estimation-using-particle-filter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3538/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3538/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3538/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3538/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3538/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3538/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3538/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3538/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3538/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3538/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3538.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">1801</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">371</span> An Attack on the Lucas Based El-Gamal Cryptosystem in the Elliptic Curve Group Over Finite Field Using Greater Common Divisor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lee%20Feng%20Koo">Lee Feng Koo</a>, <a href="https://publications.waset.org/search?q=Tze%20Jin%20Wong"> Tze Jin Wong</a>, <a href="https://publications.waset.org/search?q=Pang%20Hung%20Yiu"> Pang Hung Yiu</a>, <a href="https://publications.waset.org/search?q=Nik%20Mohd%20Asri%20Nik%20Long"> Nik Mohd Asri Nik Long</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Greater common divisor (GCD) attack is an attack that relies on the polynomial structure of the cryptosystem. This attack required two plaintexts differ from a fixed number and encrypted under same modulus. This paper reports a security reaction of Lucas Based El-Gamal Cryptosystem in the Elliptic Curve group over finite field under GCD attack. Lucas Based El-Gamal Cryptosystem in the Elliptic Curve group over finite field was exposed mathematically to the GCD attack using GCD and Dickson polynomial. The result shows that the cryptanalyst is able to get the plaintext without decryption by using GCD attack. Thus, the study concluded that it is highly perilous when two plaintexts have a slight difference from a fixed number in the same Elliptic curve group over finite field.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Decryption" title="Decryption">Decryption</a>, <a href="https://publications.waset.org/search?q=encryption" title=" encryption"> encryption</a>, <a href="https://publications.waset.org/search?q=elliptic%20curve" title=" elliptic curve"> elliptic curve</a>, <a href="https://publications.waset.org/search?q=greater%20common%20divisor." title=" greater common divisor. "> greater common divisor. </a> </p> <a href="https://publications.waset.org/10010260/an-attack-on-the-lucas-based-el-gamal-cryptosystem-in-the-elliptic-curve-group-over-finite-field-using-greater-common-divisor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10010260/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10010260/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10010260/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10010260/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10010260/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10010260/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10010260/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10010260/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10010260/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10010260/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10010260.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">705</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">370</span> Developing of Fragility Curve for Two-Span Simply Supported Concrete Bridge in Near-Fault Area</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.%20Shirazian">S. Shirazian</a>, <a href="https://publications.waset.org/search?q=M.R.%20Ghayamghamian"> M.R. Ghayamghamian</a>, <a href="https://publications.waset.org/search?q=G.R.%20Nouri"> G.R. Nouri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Bridges are one of the main components of transportation networks. They should be functional before and after earthquake for emergency services. Therefore we need to assess seismic performance of bridges under different seismic loadings. Fragility curve is one of the popular tools in seismic evaluations. The fragility curves are conditional probability statements, which give the probability of a bridge reaching or exceeding a particular damage level for a given intensity level. In this study, the seismic performance of a two-span simply supported concrete bridge is assessed. Due to usual lack of empirical data, the analytical fragility curve was developed by results of the dynamic analysis of bridge subjected to the different time histories in near-fault area. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fragility%20curve" title="Fragility curve">Fragility curve</a>, <a href="https://publications.waset.org/search?q=Seismic%20behavior" title=" Seismic behavior"> Seismic behavior</a>, <a href="https://publications.waset.org/search?q=Time%20historyanalysis" title=" Time historyanalysis"> Time historyanalysis</a>, <a href="https://publications.waset.org/search?q=Transportation%20Network." title=" Transportation Network."> Transportation Network.</a> </p> <a href="https://publications.waset.org/7611/developing-of-fragility-curve-for-two-span-simply-supported-concrete-bridge-in-near-fault-area" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7611/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7611/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7611/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7611/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7611/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7611/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7611/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7611/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7611/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7611/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7611.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">2796</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">369</span> Implementation and Analysis of Elliptic Curve Cryptosystems over Polynomial basis and ONB</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yong-Je%20Choi">Yong-Je Choi</a>, <a href="https://publications.waset.org/search?q=Moo-Seop%20Kim"> Moo-Seop Kim</a>, <a href="https://publications.waset.org/search?q=Hang-Rok%20Lee"> Hang-Rok Lee</a>, <a href="https://publications.waset.org/search?q=Ho-Won%20Kim"> Ho-Won Kim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Polynomial bases and normal bases are both used for elliptic curve cryptosystems, but field arithmetic operations such as multiplication, inversion and doubling for each basis are implemented by different methods. In general, it is said that normal bases, especially optimal normal bases (ONB) which are special cases on normal bases, are efficient for the implementation in hardware in comparison with polynomial bases. However there seems to be more examined by implementing and analyzing these systems under similar condition. In this paper, we designed field arithmetic operators for each basis over GF(2233), which field has a polynomial basis recommended by SEC2 and a type-II ONB both, and analyzed these implementation results. And, in addition, we predicted the efficiency of two elliptic curve cryptosystems using these field arithmetic operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elliptic%20Curve%20Cryptosystem" title="Elliptic Curve Cryptosystem">Elliptic Curve Cryptosystem</a>, <a href="https://publications.waset.org/search?q=Crypto%20Algorithm" title=" Crypto Algorithm"> Crypto Algorithm</a>, <a href="https://publications.waset.org/search?q=Polynomial%20Basis" title="Polynomial Basis">Polynomial Basis</a>, <a href="https://publications.waset.org/search?q=Optimal%20Normal%20Basis" title=" Optimal Normal Basis"> Optimal Normal Basis</a>, <a href="https://publications.waset.org/search?q=Security." title=" Security."> Security.</a> </p> <a href="https://publications.waset.org/3467/implementation-and-analysis-of-elliptic-curve-cryptosystems-over-polynomial-basis-and-onb" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3467/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3467/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3467/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3467/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3467/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3467/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3467/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3467/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3467/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3467/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3467.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">2089</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">368</span> A Hybrid Particle Swarm Optimization-Nelder- Mead Algorithm (PSO-NM) for Nelson-Siegel- Svensson Calibration</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sofia%20Ayouche">Sofia Ayouche</a>, <a href="https://publications.waset.org/search?q=Rachid%20Ellaia"> Rachid Ellaia</a>, <a href="https://publications.waset.org/search?q=Rajae%20Aboulaich"> Rajae Aboulaich</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Today, insurers may use the yield curve as an indicator evaluation of the profit or the performance of their portfolios; therefore, they modeled it by one class of model that has the ability to fit and forecast the future term structure of interest rates. This class of model is the Nelson-Siegel-Svensson model. Unfortunately, many authors have reported a lot of difficulties when they want to calibrate the model because the optimization problem is not convex and has multiple local optima. In this context, we implement a hybrid Particle Swarm optimization and Nelder Mead algorithm in order to minimize by least squares method, the difference between the zero-coupon curve and the NSS curve. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Optimization" title="Optimization">Optimization</a>, <a href="https://publications.waset.org/search?q=zero-coupon%20curve" title=" zero-coupon curve"> zero-coupon curve</a>, <a href="https://publications.waset.org/search?q=Nelson-Siegel-%0D%0ASvensson" title=" Nelson-Siegel- Svensson"> Nelson-Siegel- Svensson</a>, <a href="https://publications.waset.org/search?q=Particle%20Swarm%20Optimization" title=" Particle Swarm Optimization"> Particle Swarm Optimization</a>, <a href="https://publications.waset.org/search?q=Nelder-Mead%20Algorithm." title=" Nelder-Mead Algorithm."> Nelder-Mead Algorithm.</a> </p> <a href="https://publications.waset.org/10004553/a-hybrid-particle-swarm-optimization-nelder-mead-algorithm-pso-nm-for-nelson-siegel-svensson-calibration" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004553/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004553/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004553/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004553/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004553/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004553/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004553/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004553/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004553/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004553/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004553.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">1491</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">367</span> Efficient Hardware Implementation of an Elliptic Curve Cryptographic Processor Over GF (2 163)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Massoud%20Masoumi">Massoud Masoumi</a>, <a href="https://publications.waset.org/search?q=Hosseyn%20Mahdizadeh"> Hosseyn Mahdizadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A new and highly efficient architecture for elliptic curve scalar point multiplication which is optimized for a binary field recommended by NIST and is well-suited for elliptic curve cryptographic (ECC) applications is presented. To achieve the maximum architectural and timing improvements we have reorganized and reordered the critical path of the Lopez-Dahab scalar point multiplication architecture such that logic structures are implemented in parallel and operations in the critical path are diverted to noncritical paths. With G=41, the proposed design is capable of performing a field multiplication over the extension field with degree 163 in 11.92 s with the maximum achievable frequency of 251 MHz on Xilinx Virtex-4 (XC4VLX200) while 22% of the chip area is occupied, where G is the digit size of the underlying digit-serial finite field multiplier.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elliptic%20curve%20cryptography" title="Elliptic curve cryptography">Elliptic curve cryptography</a>, <a href="https://publications.waset.org/search?q=FPGA%20implementation" title=" FPGA implementation"> FPGA implementation</a>, <a href="https://publications.waset.org/search?q=scalar%20point%20multiplication." title=" scalar point multiplication."> scalar point multiplication.</a> </p> <a href="https://publications.waset.org/1102/efficient-hardware-implementation-of-an-elliptic-curve-cryptographic-processor-over-gf-2-163" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1102/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1102/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1102/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1102/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1102/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1102/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1102/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1102/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1102/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1102/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1102.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">2556</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">366</span> Novel Method for Elliptic Curve Multi-Scalar Multiplication</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Raveen%20R.%20Goundar">Raveen R. Goundar</a>, <a href="https://publications.waset.org/search?q=Ken-ichi%20Shiota"> Ken-ichi Shiota</a>, <a href="https://publications.waset.org/search?q=Masahiko%20Toyonaga"> Masahiko Toyonaga</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The major building block of most elliptic curve cryptosystems are computation of multi-scalar multiplication. This paper proposes a novel algorithm for simultaneous multi-scalar multiplication, that is by employing addition chains. The previously known methods utilizes double-and-add algorithm with binary representations. In order to accomplish our purpose, an efficient empirical method for finding addition chains for multi-exponents has been proposed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=elliptic%20curve%20cryptosystems" title="elliptic curve cryptosystems">elliptic curve cryptosystems</a>, <a href="https://publications.waset.org/search?q=multi-scalar%20multiplication" title=" multi-scalar multiplication"> multi-scalar multiplication</a>, <a href="https://publications.waset.org/search?q=addition%20chains" title=" addition chains"> addition chains</a>, <a href="https://publications.waset.org/search?q=Fibonacci%20sequence." title=" Fibonacci sequence."> Fibonacci sequence.</a> </p> <a href="https://publications.waset.org/3104/novel-method-for-elliptic-curve-multi-scalar-multiplication" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3104/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3104/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3104/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3104/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3104/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3104/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3104/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3104/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3104/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3104/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3104.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">1611</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">365</span> On-line Lao Handwritten Recognition with Proportional Invariant Feature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Khampheth%20Bounnady">Khampheth Bounnady</a>, <a href="https://publications.waset.org/search?q=Boontee%20Kruatrachue"> Boontee Kruatrachue</a>, <a href="https://publications.waset.org/search?q=Somkiat%20Wangsiripitak"> Somkiat Wangsiripitak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper proposed high level feature for online Lao handwritten recognition. This feature must be high level enough so that the feature is not change when characters are written by different persons at different speed and different proportion (shorter or longer stroke, head, tail, loop, curve). In this high level feature, a character is divided in to sequence of curve segments where a segment start where curve reverse rotation (counter clockwise and clockwise). In each segment, following features are gathered cumulative change in direction of curve (- for clockwise), cumulative curve length, cumulative length of left to right, right to left, top to bottom and bottom to top ( cumulative change in X and Y axis of segment). This feature is simple yet robust for high accuracy recognition. The feature can be gather from parsing the original time sampling sequence X, Y point of the pen location without re-sampling. We also experiment on other segmentation point such as the maximum curvature point which was widely used by other researcher. Experiments results show that the recognition rates are at 94.62% in comparing to using maximum curvature point 75.07%. This is due to a lot of variations of turning points in handwritten.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Handwritten%20feature" title="Handwritten feature">Handwritten feature</a>, <a href="https://publications.waset.org/search?q=chain%20code" title=" chain code"> chain code</a>, <a href="https://publications.waset.org/search?q=Lao%20handwritten%20recognition." title=" Lao handwritten recognition."> Lao handwritten recognition.</a> </p> <a href="https://publications.waset.org/13414/on-line-lao-handwritten-recognition-with-proportional-invariant-feature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13414/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13414/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13414/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13414/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13414/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13414/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13414/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13414/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13414/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13414/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13414.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">2032</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">364</span> The Number of Rational Points on Elliptic Curves and Circles over Finite Fields</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Bet%C3%BCl%20Gezer">Betül Gezer</a>, <a href="https://publications.waset.org/search?q=Ahmet%20Tekcan"> Ahmet Tekcan</a>, <a href="https://publications.waset.org/search?q=Osman%20Bizim"> Osman Bizim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In elliptic curve theory, number of rational points on elliptic curves and determination of these points is a fairly important problem. Let p be a prime and Fp be a finite field and k ∈ Fp. It is well known that which points the curve y2 = x3 + kx has and the number of rational points of on Fp. Consider the circle family x2 + y2 = r2. It can be interesting to determine common points of these two curve families and to find the number of these common points. In this work we study this problem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Elliptic%20curves%20over%20finite%20fields" title="Elliptic curves over finite fields">Elliptic curves over finite fields</a>, <a href="https://publications.waset.org/search?q=rational%20points%20on%0Aelliptic%20curves%20and%20circles." title=" rational points on elliptic curves and circles."> rational points on elliptic curves and circles.</a> </p> <a href="https://publications.waset.org/12784/the-number-of-rational-points-on-elliptic-curves-and-circles-over-finite-fields" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12784/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12784/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12784/chicago" target="_blank" rel="nofollow" class="btn 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