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geometry</title> <meta name="description" content="Search results for: multipatch geometry"> <meta name="keywords" content="multipatch geometry"> <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 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="multipatch geometry"> <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> 1116</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: multipatch geometry</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1116</span> Vibration Analysis of FGM Sandwich Panel with Cut-Outs Using Refined Higher-Order Shear Deformation Theory (HSDT) Based on Isogeometric Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lokanath%20Barik">Lokanath Barik</a>, <a href="https://publications.waset.org/abstracts/search?q=Abinash%20Kumar%20Swain"> Abinash Kumar Swain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents vibration analysis of FGM sandwich structure with a complex profile governed by refined higher-order shear deformation theory (RHSDT) using isogeometric analysis (IGA). Functionally graded sandwich plates provide a wide range of applications in aerospace, defence, and aircraft industries due to their ability to distribute material functions to influence the thermo-mechanical properties as desired. In practical applications, these structures generally have intrinsic profiles, and their response to loads is significantly affected due to cut-outs. IGA is primarily a NURBS-based technique that is effective in solving higher-order differential equations due to its inherent C1 continuity imposition in solution space for a single patch. Complex structures generally require multiple patches to accurately represent the geometry, and hence, there is a loss of continuity at adjoining patch junctions. Therefore, patch coupling is desired to maintain continuity requirements throughout the domain. In this work, a novel strong coupling approach is provided that generates a well-defined NURBS-based model while achieving continuity. The methodology is validated by free vibration analysis of sandwich plates with present literature. The results are in good agreement with the analytical solution for different plate configurations and power law indexes. Numerical examples of rectangular and annular plates are discussed with variable boundary conditions. Additionally, parametric studies are provided by varying the aspect ratio, porosity ratio and their influence on the natural frequency of the plate. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=vibration%20analysis" title="vibration analysis">vibration analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=FGM%20sandwich%20structure" title=" FGM sandwich structure"> FGM sandwich structure</a>, <a href="https://publications.waset.org/abstracts/search?q=multipatch%20geometry" title=" multipatch geometry"> multipatch geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=patch%20coupling" title=" patch coupling"> patch coupling</a>, <a href="https://publications.waset.org/abstracts/search?q=IGA" title=" IGA"> IGA</a> </p> <a href="https://publications.waset.org/abstracts/174829/vibration-analysis-of-fgm-sandwich-panel-with-cut-outs-using-refined-higher-order-shear-deformation-theory-hsdt-based-on-isogeometric-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/174829.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">82</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1115</span> Numerical Analysis of Laminar Mixed Convection within a Complex Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Y.%20Lasbet">Y. Lasbet</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20L.%20Boukhalkhal"> A. L. Boukhalkhal</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Loubar"> K. Loubar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The study of mixed convection is, usually, focused on the straight channels in which the onset of the mixed convection is well defined as function of the ratio between Grashof number and Reynolds number, Gr/Re. This is not the case for a complex channel wherein the mixed convection is not sufficiently examined in the literature. Our paper focuses on the study of the mixed convection in a complex geometry in which our main contribution reveals that the critical value of the ratio Gr/Re for the onset of the mixed convection increases highly in the type of geometry contrary to the straight channel. Furthermore, the accentuated secondary flow in this geometry prevents the thermal stratification in the flow and consequently the buoyancy driven becomes negligible. To perform these objectives, a numerical study in complex geometry for several values of the ratio Gr/Re with prescribed wall heat flux (H2), was realized by using the CFD code. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complex%20geometry" title="complex geometry">complex geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a>, <a href="https://publications.waset.org/abstracts/search?q=laminar%20flow" title=" laminar flow"> laminar flow</a>, <a href="https://publications.waset.org/abstracts/search?q=mixed%20convection" title=" mixed convection"> mixed convection</a>, <a href="https://publications.waset.org/abstracts/search?q=Nusselt%20number" title=" Nusselt number"> Nusselt number</a> </p> <a href="https://publications.waset.org/abstracts/35925/numerical-analysis-of-laminar-mixed-convection-within-a-complex-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35925.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">493</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1114</span> Function of Fractals: Application of Non-Linear Geometry in Continental Architecture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammadsadegh%20Zanganehfar">Mohammadsadegh Zanganehfar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Since the introduction of fractal geometry in 1970, numerous efforts have been made by architects and researchers to transfer this area of mathematical knowledge in the discipline of architecture and postmodernist discourse. The discourse of complexity and architecture is one of the most significant ongoing discourses in the discipline of architecture from the '70s until today and has generated significant styles such as deconstructivism and parametrism in architecture. During these years, several projects were designed and presented by designers and architects using fractal geometry, but due to the lack of sufficient knowledge and appropriate comprehension of the features and characteristics of this nonlinear geometry, none of the fractal-based designs have been successful and satisfying. Fractal geometry as a geometric technology has a long presence in the history of architecture. The current research attempts to identify and discover the characteristics, features, potentials, and functionality of fractals despite their aesthetic aspect by examining case studies of pre-modern architecture in Asia and investigating the function of fractals. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Asian%20architecture" title="Asian architecture">Asian architecture</a>, <a href="https://publications.waset.org/abstracts/search?q=fractal%20geometry" title=" fractal geometry"> fractal geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=fractal%20technique" title=" fractal technique"> fractal technique</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20properties" title=" geometric properties"> geometric properties</a> </p> <a href="https://publications.waset.org/abstracts/139987/function-of-fractals-application-of-non-linear-geometry-in-continental-architecture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139987.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">257</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1113</span> A Geometrical Perspective on the Insulin Evolution</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yuhei%20Kunihiro">Yuhei Kunihiro</a>, <a href="https://publications.waset.org/abstracts/search?q=Sorin%20V.%20Sabau"> Sorin V. Sabau</a>, <a href="https://publications.waset.org/abstracts/search?q=Kazuhiro%20Shibuya"> Kazuhiro Shibuya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the molecular evolution of insulin from the metric geometry point of view. In mathematics, and particularly in geometry, distances and metrics between objects are of fundamental importance. Using a weaker notion than the classical distance, namely the weighted quasi-metrics, one can study the geometry of biological sequences (DNA, mRNA, or proteins) space. We analyze from the geometrical point of view a family of 60 insulin homologous sequences ranging on a large variety of living organisms from human to the nematode C. elegans. We show that the distances between sequences provide important information about the evolution and function of insulin. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=metric%20geometry" title="metric geometry">metric geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=evolution" title=" evolution"> evolution</a>, <a href="https://publications.waset.org/abstracts/search?q=insulin" title=" insulin"> insulin</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20elegans" title=" C. elegans "> C. elegans </a> </p> <a href="https://publications.waset.org/abstracts/1430/a-geometrical-perspective-on-the-insulin-evolution" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/1430.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">337</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1112</span> Computational Fluids Dynamics Investigation of the Effect of Geometric Parameters on the Ejector Performance</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Michel%20Wakim">Michel Wakim</a>, <a href="https://publications.waset.org/abstracts/search?q=Rodrigo%20Rivera%20Tinoco"> Rodrigo Rivera Tinoco</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Supersonic ejector is an economical device that use high pressure vapor to compress a low pressure vapor without any rotating parts or external power sources. Entrainment ratio is a major characteristic of the ejector performance, so the ejector performance is highly dependent on its geometry. The aim of this paper is to design ejector geometry, based on pre-specified operating conditions, and to study the flow behavior inside the ejector by using computational fluid dynamics ‘CFD’ by using ‘ANSYS FLUENT 15.0’ software. In the first section; 1-D mathematical model is carried out to predict the ejector geometry. The second part describes the flow behavior inside the designed model. CFD is the most reliable tool to reveal the mixing process at different parts of the supersonic turbulent flow and to study the effect of the geometry on the effective ejector area. Finally, the results show the effect of the geometry on the entrainment ratio. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computational%20fluids%20dynamics" title="computational fluids dynamics">computational fluids dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=ejector" title=" ejector"> ejector</a>, <a href="https://publications.waset.org/abstracts/search?q=entrainment%20ratio" title=" entrainment ratio"> entrainment ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=geometry%20optimization" title=" geometry optimization"> geometry optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=performance" title=" performance"> performance</a> </p> <a href="https://publications.waset.org/abstracts/60609/computational-fluids-dynamics-investigation-of-the-effect-of-geometric-parameters-on-the-ejector-performance" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60609.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">274</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1111</span> Flap Structure Geometry in Breakthrough Structure: A Case Study from the Southern Tunisian Atlas Example, Orbata Anticline</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Soulef%20Amamria">Soulef Amamria</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Sadok%20Bensalem"> Mohamed Sadok Bensalem</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Ghanmi"> Mohamed Ghanmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The structural and sedimentological study of fault-related- folds in the Southern Tunisian Atlas is distinguished by a special geometry of the gravitational structures. This distinct geometry is observable in the example of a flap structure in Jebel Ben Zannouch with the formation of a stuck syncline. This geometry can be explained by the mechanism of major thrusting in Orbata anticline in the occidental extremity of Gafsa chains, with asymmetrical flank dips and hinge migration kinematics. These kinematics was originally controlled by the Breakthrough structure; the study of this special geometry of gravity flap structure depends on the sedimentation domain, shortening ratios, and erosion speed. This study constitutes one of the complete examples of kinematic model validation on a field scale. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fault-related-folds" title="fault-related-folds">fault-related-folds</a>, <a href="https://publications.waset.org/abstracts/search?q=southern%20Tunisian%20Atlas" title=" southern Tunisian Atlas"> southern Tunisian Atlas</a>, <a href="https://publications.waset.org/abstracts/search?q=flap%20structure" title=" flap structure"> flap structure</a>, <a href="https://publications.waset.org/abstracts/search?q=breakthrough" title=" breakthrough"> breakthrough</a> </p> <a href="https://publications.waset.org/abstracts/161486/flap-structure-geometry-in-breakthrough-structure-a-case-study-from-the-southern-tunisian-atlas-example-orbata-anticline" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/161486.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">101</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1110</span> Effect of the Cross-Sectional Geometry on Heat Transfer and Particle Motion of Circulating Fluidized Bed Riser for CO2 Capture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seungyeong%20Choi">Seungyeong Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Namkyu%20Lee"> Namkyu Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Dong%20Il%20Shim"> Dong Il Shim</a>, <a href="https://publications.waset.org/abstracts/search?q=Young%20Mun%20Lee"> Young Mun Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Yong-Ki%20Park"> Yong-Ki Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Hyung%20Hee%20Cho"> Hyung Hee Cho</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Effect of the cross-sectional geometry on heat transfer and particle motion of circulating fluidized bed riser for CO<sub>2</sub> capture was investigated. Numerical simulation using Eulerian-eulerian method with kinetic theory of granular flow was adopted to analyze gas-solid flow consisting in circulating fluidized bed riser. Circular, square, and rectangular cross-sectional geometry cases of the same area were carried out. Rectangular cross-sectional geometries were analyzed having aspect ratios of 1: 2, 1: 4, 1: 8, and 1:16. The cross-sectional geometry significantly influenced the particle motion and heat transfer. The downward flow pattern of solid particles near the wall was changed. The gas-solid mixing degree of the riser with the rectangular cross section of the high aspect ratio was the lowest. There were differences in bed-to-wall heat transfer coefficient according to rectangular geometry with different aspect ratios. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bed%20geometry" title="bed geometry">bed geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=computational%20fluid%20dynamics" title=" computational fluid dynamics"> computational fluid dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=circulating%20fluidized%20bed%20riser" title=" circulating fluidized bed riser"> circulating fluidized bed riser</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a> </p> <a href="https://publications.waset.org/abstracts/80529/effect-of-the-cross-sectional-geometry-on-heat-transfer-and-particle-motion-of-circulating-fluidized-bed-riser-for-co2-capture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80529.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">260</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1109</span> On Musical Information Geometry with Applications to Sonified Image Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shannon%20Steinmetz">Shannon Steinmetz</a>, <a href="https://publications.waset.org/abstracts/search?q=Ellen%20Gethner"> Ellen Gethner</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a theoretical foundation is developed for patterned segmentation of audio using the geometry of music and statistical manifold. We demonstrate image content clustering using conic space sonification. The algorithm takes a geodesic curve as a model estimator of the three-parameter Gamma distribution. The random variable is parameterized by musical centricity and centric velocity. Model parameters predict audio segmentation in the form of duration and frame count based on the likelihood of musical geometry transition. We provide an example using a database of randomly selected images, resulting in statistically significant clusters of similar image content. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sonification" title="sonification">sonification</a>, <a href="https://publications.waset.org/abstracts/search?q=musical%20information%20geometry" title=" musical information geometry"> musical information geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=image" title=" image"> image</a>, <a href="https://publications.waset.org/abstracts/search?q=content%20extraction" title=" content extraction"> content extraction</a>, <a href="https://publications.waset.org/abstracts/search?q=automated%20quantification" title=" automated quantification"> automated quantification</a>, <a href="https://publications.waset.org/abstracts/search?q=audio%20segmentation" title=" audio segmentation"> audio segmentation</a>, <a href="https://publications.waset.org/abstracts/search?q=pattern%20recognition" title=" pattern recognition"> pattern recognition</a> </p> <a href="https://publications.waset.org/abstracts/133600/on-musical-information-geometry-with-applications-to-sonified-image-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/133600.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">237</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1108</span> Jointly Learning Python Programming and Analytic Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Cristina-Maria%20P%C4%83curar">Cristina-Maria Păcurar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper presents an original Python-based application that outlines the advantages of combining some elementary notions of mathematics with the study of a programming language. The application support refers to some of the first lessons of analytic geometry, meaning conics and quadrics and their reduction to a standard form, as well as some related notions. The chosen programming language is Python, not only for its closer to an everyday language syntax – and therefore, enhanced readability – but also for its highly reusable code, which is of utmost importance for a mathematician that is accustomed to exploit already known and used problems to solve new ones. The purpose of this paper is, on one hand, to support the idea that one of the most appropriate means to initiate one into programming is throughout mathematics, and reciprocal, one of the most facile and handy ways to assimilate some basic knowledge in the study of mathematics is to apply them in a personal project. On the other hand, besides being a mean of learning both programming and analytic geometry, the application subject to this paper is itself a useful tool for it can be seen as an independent original Python package for analytic geometry. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=analytic%20geometry" title="analytic geometry">analytic geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=conics" title=" conics"> conics</a>, <a href="https://publications.waset.org/abstracts/search?q=python" title=" python"> python</a>, <a href="https://publications.waset.org/abstracts/search?q=quadrics" title=" quadrics"> quadrics</a> </p> <a href="https://publications.waset.org/abstracts/64133/jointly-learning-python-programming-and-analytic-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64133.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">292</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1107</span> Methodology of Geometry Simplification for Conjugate Heat Transfer of Electrical Rotating Machines Using Computational Fluid Dynamics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sachin%20Aggarwal">Sachin Aggarwal</a>, <a href="https://publications.waset.org/abstracts/search?q=Sarah%20Kassinger"> Sarah Kassinger</a>, <a href="https://publications.waset.org/abstracts/search?q=Nicholas%20Hoffman"> Nicholas Hoffman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Geometry simplification is a key step in performing conjugate heat transfer analysis using CFD. This paper proposes a standard methodology for the geometry simplification of rotating machines, such as electrical generators and electrical motors (both air and liquid-cooled). These machines are extensively deployed throughout the aerospace and automotive industries, where optimization of weight, volume, and performance is paramount -especially given the current global transition to renewable energy sources and vehicle hybridization and electrification. Conjugate heat transfer analysis is an essential step in optimizing their complex design. This methodology will help in reducing convergence issues due to poor mesh quality, thus decreasing computational cost and overall analysis time. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=CFD" title="CFD">CFD</a>, <a href="https://publications.waset.org/abstracts/search?q=electrical%20machines" title=" electrical machines"> electrical machines</a>, <a href="https://publications.waset.org/abstracts/search?q=Geometry%20simplification" title=" Geometry simplification"> Geometry simplification</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20transfer" title=" heat transfer"> heat transfer</a> </p> <a href="https://publications.waset.org/abstracts/150058/methodology-of-geometry-simplification-for-conjugate-heat-transfer-of-electrical-rotating-machines-using-computational-fluid-dynamics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150058.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">132</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1106</span> Generalized Chaplygin Gas and Varying Bulk Viscosity in Lyra Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Sethi">A. K. Sethi</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20N.%20Patra"> R. N. Patra</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Nayak"> B. Nayak</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we have considered Friedmann-Robertson-Walker (FRW) metric with generalized Chaplygin gas which has viscosity in the context of Lyra geometry. The viscosity is considered in two different ways (i.e. zero viscosity, non-constant <em>r</em> (rho)-dependent bulk viscosity) using constant deceleration parameter which concluded that, for a special case, the viscous generalized Chaplygin gas reduces to modified Chaplygin gas. The represented model indicates on the presence of Chaplygin gas in the Universe. Observational constraints are applied and discussed on the physical and geometrical nature of the Universe. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bulk%20viscosity" title="bulk viscosity">bulk viscosity</a>, <a href="https://publications.waset.org/abstracts/search?q=lyra%20geometry" title=" lyra geometry"> lyra geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20chaplygin%20gas" title=" generalized chaplygin gas"> generalized chaplygin gas</a>, <a href="https://publications.waset.org/abstracts/search?q=cosmology" title=" cosmology"> cosmology</a> </p> <a href="https://publications.waset.org/abstracts/105557/generalized-chaplygin-gas-and-varying-bulk-viscosity-in-lyra-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/105557.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">176</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1105</span> Reducing Support Structures in Design for Additive Manufacturing: A Neural Networks Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Olivia%20Borgue">Olivia Borgue</a>, <a href="https://publications.waset.org/abstracts/search?q=Massimo%20Panarotto"> Massimo Panarotto</a>, <a href="https://publications.waset.org/abstracts/search?q=Ola%20Isaksson"> Ola Isaksson</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article presents a neural networks-based strategy for reducing the need for support structures when designing for additive manufacturing (AM). Additive manufacturing is a relatively new and immature industrial technology, and the information to make confident decisions when designing for AM is limited. This lack of information impacts especially the early stages of engineering design, for instance, it is difficult to actively consider the support structures needed for manufacturing a part. This difficulty is related to the challenge of designing a product geometry accounting for customer requirements, manufacturing constraints and minimization of support structure. The approach presented in this article proposes an automatized geometry modification technique for reducing the use of the support structures while designing for AM. This strategy starts with a neural network-based strategy for shape recognition to achieve product classification, using an STL file of the product as input. Based on the classification, an automatic part geometry modification based on MATLAB© is implemented. At the end of the process, the strategy presents different geometry modification alternatives depending on the type of product to be designed. The geometry alternatives are then evaluated adopting a QFD-like decision support tool. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=additive%20manufacturing" title="additive manufacturing">additive manufacturing</a>, <a href="https://publications.waset.org/abstracts/search?q=engineering%20design" title=" engineering design"> engineering design</a>, <a href="https://publications.waset.org/abstracts/search?q=geometry%20modification%20optimization" title=" geometry modification optimization"> geometry modification optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=neural%20networks" title=" neural networks"> neural networks</a> </p> <a href="https://publications.waset.org/abstracts/97282/reducing-support-structures-in-design-for-additive-manufacturing-a-neural-networks-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/97282.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">253</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1104</span> Use of Fractal Geometry in Machine Learning</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fuad%20M.%20Alkoot">Fuad M. Alkoot</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The main component of a machine learning system is the classifier. Classifiers are mathematical models that can perform classification tasks for a specific application area. Additionally, many classifiers are combined using any of the available methods to reduce the classifier error rate. The benefits gained from the combination of multiple classifier designs has motivated the development of diverse approaches to multiple classifiers. We aim to investigate using fractal geometry to develop an improved classifier combiner. Initially we experiment with measuring the fractal dimension of data and use the results in the development of a combiner strategy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractal%20geometry" title="fractal geometry">fractal geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=machine%20learning" title=" machine learning"> machine learning</a>, <a href="https://publications.waset.org/abstracts/search?q=classifier" title=" classifier"> classifier</a>, <a href="https://publications.waset.org/abstracts/search?q=fractal%20dimension" title=" fractal dimension"> fractal dimension</a> </p> <a href="https://publications.waset.org/abstracts/141274/use-of-fractal-geometry-in-machine-learning" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141274.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">216</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1103</span> Effectiveness of GeoGebra in Developing Conceptual Understanding of Transformation Geometry Case of Grade 11 Students</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gebreegziabher%20Hailu%20Gebrecherkos">Gebreegziabher Hailu Gebrecherkos</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study examines the effectiveness of GeoGebra in developing the conceptual understanding of transformation geometry among Grade 11 students. Utilizing a quasi-experimental design, the research compares the learning outcomes of students who engaged with GeoGebra against those who received traditional instruction. Pre- and post-tests were administered to assess students' grasp of key transformation concepts, including translations, rotations, reflections, and dilations. Additionally, qualitative data were gathered through student interviews and classroom observations to explore their experiences and perceptions of using GeoGebra. Results indicate that students utilizing GeoGebra showed significantly greater improvement in their understanding of transformation geometry concepts. The interactive features of GeoGebra facilitated visualization and exploration, leading to enhanced engagement and deeper conceptual insights. The findings underscore the potential of GeoGebra as a powerful educational tool that not only fosters mathematical understanding but also accommodates diverse learning styles in the classroom. This study contributes valuable insights for educators seeking to improve the teaching and learning of transformation geometry in secondary education. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=calculus" title="calculus">calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=conceptual%20understanding" title=" conceptual understanding"> conceptual understanding</a>, <a href="https://publications.waset.org/abstracts/search?q=GeoGebra" title=" GeoGebra"> GeoGebra</a>, <a href="https://publications.waset.org/abstracts/search?q=transformation%20geometry" title=" transformation geometry"> transformation geometry</a> </p> <a href="https://publications.waset.org/abstracts/192217/effectiveness-of-geogebra-in-developing-conceptual-understanding-of-transformation-geometry-case-of-grade-11-students" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/192217.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">20</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1102</span> Design and Validation of Different Steering Geometries for an All-Terrain Vehicle</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prabhsharan%20Singh">Prabhsharan Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Rahul%20Sindhu"> Rahul Sindhu</a>, <a href="https://publications.waset.org/abstracts/search?q=Piyush%20Sikka"> Piyush Sikka</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The steering system is an integral part and medium through which the driver communicates with the vehicle and terrain, hence the most suitable steering geometry as per requirements must be chosen. The function of the chosen steering geometry of an All-Terrain Vehicle (ATV) is to provide the desired understeer gradient, minimum tire slippage, expected weight transfer during turning as these are requirements for a good steering geometry of a BAJA ATV. This research paper focuses on choosing the best suitable steering geometry for BAJA ATV tracks by reasoning the working principle and using fundamental trigonometric functions for obtaining these geometries on the same vehicle itself, namely Ackermann, Anti- Ackermann, Parallel Ackermann. Full vehicle analysis was carried out on Adams Car Analysis software, and graphical results were obtained for various parameters. Steering geometries were achieved by using a single versatile knuckle for frontward and rearward tie-rod placement and were practically tested with the help of data acquisition systems set up on the ATV. Each was having certain characteristics, setup, and parameters were observed for the BAJA ATV, and correlations were created between analytical and practical values. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=all-terrain%20vehicle" title="all-terrain vehicle">all-terrain vehicle</a>, <a href="https://publications.waset.org/abstracts/search?q=Ackermann" title=" Ackermann"> Ackermann</a>, <a href="https://publications.waset.org/abstracts/search?q=Adams%20car" title=" Adams car"> Adams car</a>, <a href="https://publications.waset.org/abstracts/search?q=Baja%20Sae" title=" Baja Sae"> Baja Sae</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20geometry" title=" steering geometry"> steering geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20system" title=" steering system"> steering system</a>, <a href="https://publications.waset.org/abstracts/search?q=tire%20slip" title=" tire slip"> tire slip</a>, <a href="https://publications.waset.org/abstracts/search?q=traction" title=" traction"> traction</a>, <a href="https://publications.waset.org/abstracts/search?q=understeer%20gradient" title=" understeer gradient"> understeer gradient</a> </p> <a href="https://publications.waset.org/abstracts/121416/design-and-validation-of-different-steering-geometries-for-an-all-terrain-vehicle" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/121416.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">154</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1101</span> A Comparative Case Study of the Impact of Square and Yurt-Shape Buildings on Energy Efficiency</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Valeriya%20Tyo">Valeriya Tyo</a>, <a href="https://publications.waset.org/abstracts/search?q=Serikbolat%20Yessengabulov"> Serikbolat Yessengabulov </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Regions with extreme climate conditions such as Astana city require energy saving measures to increase the energy performance of buildings which are responsible for more than 40% of total energy consumption. Identification of optimal building geometry is one of the key factors to be considered. The architectural form of a building has the impact on space heating and cooling energy use, however, the interrelationship between the geometry and resultant energy use is not always readily apparent. This paper presents a comparative case study of two prototypical buildings with compact building shape to assess its impact on energy performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=building%20geometry" title="building geometry">building geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=energy%20efficiency" title=" energy efficiency"> energy efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20gain" title=" heat gain"> heat gain</a>, <a href="https://publications.waset.org/abstracts/search?q=heat%20loss" title=" heat loss"> heat loss</a> </p> <a href="https://publications.waset.org/abstracts/37694/a-comparative-case-study-of-the-impact-of-square-and-yurt-shape-buildings-on-energy-efficiency" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37694.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">499</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1100</span> Noncommutative Diﬀerential Structure on Finite Groups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ibtisam%20Masmali">Ibtisam Masmali</a>, <a href="https://publications.waset.org/abstracts/search?q=Edwin%20Beggs"> Edwin Beggs</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we take example of diﬀerential calculi, on the ﬁnite group A4. Then, we apply methods of non-commutative of non-commutative diﬀerential geometry to this example, and see how similar the results are to those of classical diﬀerential geometry. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=di%EF%AC%80erential%20calculi" title="diﬀerential calculi">diﬀerential calculi</a>, <a href="https://publications.waset.org/abstracts/search?q=%EF%AC%81nite%20group%20A4" title=" ﬁnite group A4"> ﬁnite group A4</a>, <a href="https://publications.waset.org/abstracts/search?q=Christo%EF%AC%80el%20symbols" title=" Christoﬀel symbols"> Christoﬀel symbols</a>, <a href="https://publications.waset.org/abstracts/search?q=covariant%20derivative" title=" covariant derivative"> covariant derivative</a>, <a href="https://publications.waset.org/abstracts/search?q=torsion%20compatible" title=" torsion compatible"> torsion compatible</a> </p> <a href="https://publications.waset.org/abstracts/3359/noncommutative-differential-structure-on-finite-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3359.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">252</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1099</span> Starlink Satellite Collision Probability Simulation Based on Simplified Geometry Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Toby%20Li">Toby Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Julian%20Zhu"> Julian Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a model based on a simplified geometry is introduced to give a very conservative collision probability prediction for the Starlink satellite in its most densely clustered region. Under the model in this paper, the probability of collision for Starlink satellite where it clustered most densely is found to be 8.484 ∗ 10^−4. It is found that the predicted collision probability increased nonlinearly with the increased safety distance set. This simple model provides evidence that the continuous development of maneuver avoidance systems is necessary for the future of the orbital safety of satellites under the harsher Lower Earth Orbit environment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Starlink" title="Starlink">Starlink</a>, <a href="https://publications.waset.org/abstracts/search?q=collision%20probability" title=" collision probability"> collision probability</a>, <a href="https://publications.waset.org/abstracts/search?q=debris" title=" debris"> debris</a>, <a href="https://publications.waset.org/abstracts/search?q=geometry%20model" title=" geometry model"> geometry model</a> </p> <a href="https://publications.waset.org/abstracts/171068/starlink-satellite-collision-probability-simulation-based-on-simplified-geometry-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/171068.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">82</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1098</span> Identification of Configuration Space Singularities with Local Real Algebraic Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Marc%20Diesse">Marc Diesse</a>, <a href="https://publications.waset.org/abstracts/search?q=Hochschule%20Heilbronn"> Hochschule Heilbronn</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We address the question of identifying the configuration space singularities of linkages, i.e., points where the configuration space is not locally a submanifold of Euclidean space. Because the configuration space cannot be smoothly parameterized at such points, these singularity types have a significantly negative impact on the kinematics of the linkage. It is known that Jacobian methods do not provide sufficient conditions for the existence of CS-singularities. Herein, we present several additional algebraic criteria that provide the sufficient conditions. Further, we use those criteria to analyze certain classes of planar linkages. These examples will also show how the presented criteria can be checked using algorithmic methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=linkages" title="linkages">linkages</a>, <a href="https://publications.waset.org/abstracts/search?q=configuration%20space-singularities" title=" configuration space-singularities"> configuration space-singularities</a>, <a href="https://publications.waset.org/abstracts/search?q=real%20algebraic%20geometry" title=" real algebraic geometry"> real algebraic geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=analytic%20geometry" title=" analytic geometry"> analytic geometry</a> </p> <a href="https://publications.waset.org/abstracts/112098/identification-of-configuration-space-singularities-with-local-real-algebraic-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/112098.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">148</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1097</span> Application of Learning Media Based Augmented Reality on Molecular Geometry Concept</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=F.%20S.%20Irwansyah">F. S. Irwansyah</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Farida"> I. Farida</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Maulana"> Y. Maulana </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Studying chemistry requires the ability to understand three levels of understanding in the form of macroscopic, submicroscopic and symbolic, but the lack of emphasis on the submicroscopic level leads to the understanding of chemical concepts becoming incomplete, due to the limitations of the tools capable of providing visualization of submicroscopic concepts. The purpose of this study describes the stages of making augmented reality learning media on the concept of molecular geometry and analyze the feasibility test result of augmented reality learning media on the concept of molecular geometry. This research uses Research and Development (R & D) method which produces a product of AR learning media on molecular geometry concept and test the effectiveness of the product. Research stages include concept analysis and learning indicators, design development, validation, feasibility, and limited testing. The stages of validation and limited trial are aimed to get feedback in the form of assessment, suggestion and improvement on learning aspect, material substance aspect, visual communication aspect and software engineering aspects and media feasibility in terms of media creation purpose to be used in learning. The results of the overall feasibility test obtained r-calculation 0,7-0,9 with the interpretation of high feasibility value, whereas the result of limited trial got the percentage of eligibility with the average value equal to 70,83-92,5%. This percentage indicates that AR's learning media product on the concept of molecular geometry, deserves to be used as a learning resource. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=android" title="android">android</a>, <a href="https://publications.waset.org/abstracts/search?q=augmented%20reality" title=" augmented reality"> augmented reality</a>, <a href="https://publications.waset.org/abstracts/search?q=chemical%20learning" title=" chemical learning"> chemical learning</a>, <a href="https://publications.waset.org/abstracts/search?q=geometry" title=" geometry"> geometry</a> </p> <a href="https://publications.waset.org/abstracts/82547/application-of-learning-media-based-augmented-reality-on-molecular-geometry-concept" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/82547.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">206</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1096</span> Einstein’s General Equation of the Gravitational Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Benzian">A. Benzian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The generalization of relativistic theory of gravity based essentially on the principle of equivalence stipulates that for all bodies, the grave mass is equal to the inert mass which leads us to believe that gravitation is not a property of the bodies themselves, but of space, and the conclusion that the gravitational field must curved space-time what allows the abandonment of Minkowski space (because Minkowski space-time being nonetheless null curvature) to adopt Riemannian geometry as a mathematical framework in order to determine the curvature. Therefore the work presented in this paper begins with the evolution of the concept of gravity then tensor field which manifests by Riemannian geometry to formulate the general equation of the gravitational field. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=inertia" title="inertia">inertia</a>, <a href="https://publications.waset.org/abstracts/search?q=principle%20of%20equivalence" title=" principle of equivalence"> principle of equivalence</a>, <a href="https://publications.waset.org/abstracts/search?q=tensors" title=" tensors"> tensors</a>, <a href="https://publications.waset.org/abstracts/search?q=Riemannian%20geometry" title=" Riemannian geometry"> Riemannian geometry</a> </p> <a href="https://publications.waset.org/abstracts/113632/einsteins-general-equation-of-the-gravitational-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113632.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">152</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1095</span> Early Phase Design Study of a Sliding Door with Multibody Simulations </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Erkan%20Talay">Erkan Talay</a>, <a href="https://publications.waset.org/abstracts/search?q=Mustafa%20Yigit%20Yagci"> Mustafa Yigit Yagci</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For the systems like sliding door, designers should predict not only strength but also dynamic behavior of the system and this prediction usually becomes more critical if design has radical changes refer to previous designs. Also, sometimes physical tests could cost more than expected, especially for rail geometry changes, since this geometry affects design of the body. The aim of the study is to observe and understand the dynamics of the sliding door in virtual environment. For this, multibody dynamic model of the sliding door was built and then affects of various parameters like rail geometry, roller diameters, or center of mass detected. Also, a design of experiment study was performed to observe interactions of these parameters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=design%20of%20experiment" title="design of experiment">design of experiment</a>, <a href="https://publications.waset.org/abstracts/search?q=minimum%20closing%20effort" title=" minimum closing effort"> minimum closing effort</a>, <a href="https://publications.waset.org/abstracts/search?q=multibody%20simulation" title=" multibody simulation"> multibody simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20door" title=" sliding door"> sliding door</a> </p> <a href="https://publications.waset.org/abstracts/111424/early-phase-design-study-of-a-sliding-door-with-multibody-simulations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/111424.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">137</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1094</span> Investigation on Choosing the Suitable Geometry of the Solar Air Heater to Certain Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdulrahman%20M.%20Homadi">Abdulrahman M. Homadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study focuses on how to control the outlet temperature of a solar air heater in a way simpler than the existing methods. In this work, five cases have been studied by using ANSYS Fluent based on a CFD numerical method. All the cases have been simulated by utilizing the same criteria and conditions like the temperature, materials, areas except the geometry. The case studies are conducted in Little Rock (LR), AR, USA during the winter time supposedly on 15<sup>th</sup> of December. A fresh air that is flowing with a velocity of 0.5 m/s and a flow rate of 0.009 m<sup>3</sup>/s. The results prove the possibility of achieving a controlled temperature just by changing the geometric shape of the heater. This geometry guarantees that the absorber plate always has a normal component of the solar radiation at any time during the day. The heater has a sectarian shape with a radius of 150 mm where the outlet temperature remains almost constant for six hours. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solar%20energy" title="solar energy">solar energy</a>, <a href="https://publications.waset.org/abstracts/search?q=air%20heater" title=" air heater"> air heater</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20of%20temperature" title=" control of temperature"> control of temperature</a>, <a href="https://publications.waset.org/abstracts/search?q=CFD" title=" CFD"> CFD</a> </p> <a href="https://publications.waset.org/abstracts/51439/investigation-on-choosing-the-suitable-geometry-of-the-solar-air-heater-to-certain-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51439.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">337</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1093</span> Streamlining Coastal Defense: Investigating the Impact of Seawall Geometry on Wave Loads</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmadreza%20Ebadati">Ahmadreza Ebadati</a>, <a href="https://publications.waset.org/abstracts/search?q=Asaad%20Y.%20Shamseldin"> Asaad Y. Shamseldin</a>, <a href="https://publications.waset.org/abstracts/search?q=Amin%20Ghadirian"> Amin Ghadirian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Seawall geometry plays a crucial role in mitigating wave impacts, though detailed exploration of its manipulation is limited. This study delves into the effects of varying cross-shore seawall geometry on the dynamics of wave impacts, with a particular focus on vertical seawalls. Inspired by foundational insights linking seawall shape to hydraulic efficiency, this investigation centres on how alterations in seawall geometry can influence wave energy dissipation and subsequent wave impacts. The study investigates the 2D interaction of regular waves with a period of 2.1s with a vertical seawall and berm featuring small-scale cross-shore protrusions and recesses. Utilising OpenFOAM® simulations and a k-ω SST turbulence model, this investigation compares results to a base case simulation, which is partially calibrated with experimental data from a flume study. The analysis evaluates various geometric modifications, specifically interchanged protrusions and recesses at different heights and orientations along the seawall. Findings suggest that specific configurations, such as interchanged protrusions and recesses, can mitigate initial impact forces, while certain arrangements may intensify subsequent impacts. Key insights include the identification of geometry configurations that can effectively reduce the force impulse of slamming waves on coastal structures and potentially decrease the frequency and cost of seawall maintenance. This research contributes to the field by advancing the understanding of how seawall geometry influences wave forces and by providing actionable insights for the design of more resilient seawall structures. Further exploration of seawall geometry variation is recommended, advocating additional case studies to optimise designs tailored to specific coastal environments. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=seawall%20geometry" title="seawall geometry">seawall geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20impact%20loads" title=" wave impact loads"> wave impact loads</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20simulation" title=" numerical simulation"> numerical simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=coastal%20engineering" title=" coastal engineering"> coastal engineering</a>, <a href="https://publications.waset.org/abstracts/search?q=wave-structure%20interaction" title=" wave-structure interaction"> wave-structure interaction</a> </p> <a href="https://publications.waset.org/abstracts/185391/streamlining-coastal-defense-investigating-the-impact-of-seawall-geometry-on-wave-loads" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185391.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">49</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1092</span> A Nonlocal Means Algorithm for Poisson Denoising Based on Information Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dongxu%20Chen">Dongxu Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yipeng%20Li"> Yipeng Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an information geometry NonlocalMeans(NLM) algorithm for Poisson denoising. NLM estimates a noise-free pixel as a weighted average of image pixels, where each pixel is weighted according to the similarity between image patches in Euclidean space. In this work, every pixel is a Poisson distribution locally estimated by Maximum Likelihood (ML), all distributions consist of a statistical manifold. A NLM denoising algorithm is conducted on the statistical manifold where Fisher information matrix can be used for computing distribution geodesics referenced as the similarity between patches. This approach was demonstrated to be competitive with related state-of-the-art methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20denoising" title="image denoising">image denoising</a>, <a href="https://publications.waset.org/abstracts/search?q=Poisson%20noise" title=" Poisson noise"> Poisson noise</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20geometry" title=" information geometry"> information geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal-means" title=" nonlocal-means"> nonlocal-means</a> </p> <a href="https://publications.waset.org/abstracts/51221/a-nonlocal-means-algorithm-for-poisson-denoising-based-on-information-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51221.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">285</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1091</span> Investigation of the Capability of REALP5 to Solve Complex Fuel Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=D.%20Abdelrazek">D. Abdelrazek</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20NaguibAly"> M. NaguibAly</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20A.%20Badawi"> A. A. Badawi</a>, <a href="https://publications.waset.org/abstracts/search?q=Asmaa%20G.%20Abo%20Elnour"> Asmaa G. Abo Elnour</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20A.%20El-Kafas"> A. A. El-Kafas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work is developed within IAEA Coordinated Research Program 1496, “Innovative methods in research reactor analysis: Benchmark against experimental data on neutronics and thermal-hydraulic computational methods and tools for operation and safety analysis of research reactors.” The study investigates the capability of Code RELAP5/Mod3.4 to solve complex geometry complexity. Its results are compared to the results of PARET, a common code in thermal hydraulic analysis for research reactors, belonging to MTR-PC groups. The WWR-SM reactor at the Institute of Nuclear Physics (INP) in the Republic of Uzbekistan is simulated using both PARET and RELAP5 at steady state. Results from the two codes are compared. REALP5 code succeeded in solving the complex fuel geometry. The PARET code needed some calculations to obtain the final result. Although the final results from the PARET are more accurate, the small differences in both results makes using RELAP5 code recommended in case of complex fuel assemblies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complex%20fuel%20geometry" title="complex fuel geometry">complex fuel geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=PARET" title=" PARET"> PARET</a>, <a href="https://publications.waset.org/abstracts/search?q=RELAP5" title=" RELAP5"> RELAP5</a>, <a href="https://publications.waset.org/abstracts/search?q=WWR-SM%20reactor" title=" WWR-SM reactor"> WWR-SM reactor</a> </p> <a href="https://publications.waset.org/abstracts/4164/investigation-of-the-capability-of-realp5-to-solve-complex-fuel-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4164.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">333</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1090</span> Educatronic Prototype for Learning Geometry, Based on a Multitouch Surface</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Vicario%20Marina">Vicario Marina</a>, <a href="https://publications.waset.org/abstracts/search?q=Bustos%20Freddy"> Bustos Freddy</a>, <a href="https://publications.waset.org/abstracts/search?q=Olivares%20Jes%C3%BAs"> Olivares Jesús</a>, <a href="https://publications.waset.org/abstracts/search?q=G%C3%B3mez%20Pilar"> Gómez Pilar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a didactic model and a tool as educational resources to support the learning of geometry; they focus on topics difficult to understand. The target population is elementary school students. The tool is based on a collaborative educational approach using multi-touch devices. The proposal is based on the challenges found in the instructional design and prototype implementation. Traditionally, elementary students have had many problems assimilating mathematical topics; this new Educatronic prototype facilitates the learning experience using exercises and they were tested with different children demonstrating the benefits of the prototype by improving their mathematical skills. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=educatronic%20prototype" title="educatronic prototype">educatronic prototype</a>, <a href="https://publications.waset.org/abstracts/search?q=geometry" title=" geometry"> geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=multitouch%20surface" title=" multitouch surface"> multitouch surface</a>, <a href="https://publications.waset.org/abstracts/search?q=educational%20computing" title=" educational computing"> educational computing</a>, <a href="https://publications.waset.org/abstracts/search?q=primary%20school" title=" primary school"> primary school</a>, <a href="https://publications.waset.org/abstracts/search?q=mathematics" title=" mathematics"> mathematics</a>, <a href="https://publications.waset.org/abstracts/search?q=educational%20informatics" title=" educational informatics"> educational informatics</a> </p> <a href="https://publications.waset.org/abstracts/29914/educatronic-prototype-for-learning-geometry-based-on-a-multitouch-surface" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29914.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">319</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1089</span> A Comparative Study on the Effects of Different Clustering Layouts and Geometry of Urban Street Canyons on Urban Heat Island in Residential Neighborhoods of Kolkata</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shreya%20Banerjee">Shreya Banerjee</a>, <a href="https://publications.waset.org/abstracts/search?q=Roshmi%20Sen"> Roshmi Sen</a>, <a href="https://publications.waset.org/abstracts/search?q=Subrata%20Chattopadhyay"> Subrata Chattopadhyay</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Urbanization during the second half of the last century has created many serious environment related issues leading to global warming and climate change. India is not an exception as the country is also facing the problems of global warming and urban heat islands (UHI) in all the major metropolises. This paper discusses the effect of different housing cluster layouts, site geometry, and geometry of urban street canyons on the urban heat island profile. The study is carried out using the three dimensional microclimatic computational fluid dynamics model ENVI-met version 3.1. Simulation models are done for a typical summer day of 21st June, 2015 in four different residential neighborhoods in the city of Kolkata which predominantly belongs to Warm-Humid Monsoon Climate. The results show the changing pattern of urban heat island profile with respect to different clustering layouts, geometry, and morphology of urban street canyons. The comparison between the four neighborhoods shows that different microclimatic variables are strongly dependant on the neighborhood layout pattern and geometry. The inferences obtained from this study can be indicative towards the formulation of neighborhood design by-laws that will attenuate the urban heat island effect. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=urban%20heat%20island" title="urban heat island">urban heat island</a>, <a href="https://publications.waset.org/abstracts/search?q=neighborhood%20morphology" title=" neighborhood morphology"> neighborhood morphology</a>, <a href="https://publications.waset.org/abstracts/search?q=site%20microclimate" title=" site microclimate"> site microclimate</a>, <a href="https://publications.waset.org/abstracts/search?q=ENVI-met" title=" ENVI-met"> ENVI-met</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20analysis" title=" numerical analysis"> numerical analysis</a> </p> <a href="https://publications.waset.org/abstracts/39607/a-comparative-study-on-the-effects-of-different-clustering-layouts-and-geometry-of-urban-street-canyons-on-urban-heat-island-in-residential-neighborhoods-of-kolkata" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39607.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">368</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1088</span> Hydro-Mechanical Forming of AZ31 Sheet</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yong-Nam%20Kwon">Yong-Nam Kwon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, we have designed the hydro-mechanical forming in which AZ31 sheet was drawn to a kind of preform step following gas blow forming for accurate geometry. In order to judge a formability enhancement of AZ31 sheet, model geometry came from a practical automotive part which had quite depth with complicated curvatures, which was proven that a single sheet forming could not gave a successful part. Experimentally, we succeeded to make the model part with accurate dimension. The optimum forming conditions for respective forming steps were considered most important technical features of this hydro-mechanical and would be discussed in details. Also, the effort to avoid detrimental abnormal grain growth was given and discussed for a practical application. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hydro-mechanical%20forming" title="hydro-mechanical forming">hydro-mechanical forming</a>, <a href="https://publications.waset.org/abstracts/search?q=AZ31" title=" AZ31"> AZ31</a>, <a href="https://publications.waset.org/abstracts/search?q=abnormal%20grain%20growth" title=" abnormal grain growth"> abnormal grain growth</a>, <a href="https://publications.waset.org/abstracts/search?q=model%20geometry" title=" model geometry"> model geometry</a> </p> <a href="https://publications.waset.org/abstracts/9497/hydro-mechanical-forming-of-az31-sheet" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9497.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">512</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1087</span> Aspects and Studies of Fractal Geometry in Automatic Breast Cancer Detection</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mrinal%20Kanti%20Bhowmik">Mrinal Kanti Bhowmik</a>, <a href="https://publications.waset.org/abstracts/search?q=Kakali%20Das%20Jr."> Kakali Das Jr.</a>, <a href="https://publications.waset.org/abstracts/search?q=Barin%20Kumar%20De"> Barin Kumar De</a>, <a href="https://publications.waset.org/abstracts/search?q=Debotosh%20Bhattacharjee"> Debotosh Bhattacharjee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Breast cancer is the most common cancer and a leading cause of death for women in the 35 to 55 age group. Early detection of breast cancer can decrease the mortality rate of breast cancer. Mammography is considered as a ‘Gold Standard’ for breast cancer detection and a very popular modality, presently used for breast cancer screening and detection. The screening of digital mammograms often leads to over diagnosis and a consequence to unnecessary traumatic & painful biopsies. For that reason recent studies involving the use of thermal imaging as a screening technique have generated a growing interest especially in cases where the mammography is limited, as in young patients who have dense breast tissue. Tumor is a significant sign of breast cancer in both mammography and thermography. The tumors are complex in structure and they also exhibit a different statistical and textural features compared to the breast background tissue. Fractal geometry is a geometry which is used to describe this type of complex structure as per their main characteristic, where traditional Euclidean geometry fails. Over the last few years, fractal geometrics have been applied mostly in many medical image (1D, 2D, or 3D) analysis applications. In breast cancer detection using digital mammogram images, also it plays a significant role. Fractal is also used in thermography for early detection of the masses using the thermal texture. This paper presents an overview of the recent aspects and initiatives of fractals in breast cancer detection in both mammography and thermography. The scope of fractal geometry in automatic breast cancer detection using digital mammogram and thermogram images are analysed, which forms a foundation for further study on application of fractal geometry in medical imaging for improving the efficiency of automatic detection. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fractal" title="fractal">fractal</a>, <a href="https://publications.waset.org/abstracts/search?q=tumor" title=" tumor"> tumor</a>, <a href="https://publications.waset.org/abstracts/search?q=thermography" title=" thermography"> thermography</a>, <a href="https://publications.waset.org/abstracts/search?q=mammography" title=" mammography"> mammography</a> </p> <a href="https://publications.waset.org/abstracts/22188/aspects-and-studies-of-fractal-geometry-in-automatic-breast-cancer-detection" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22188.pdf" target="_blank" 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