Relevant bibliographies by topics / Geometric analysi

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Geometric analysi'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Geometric analysi"

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Kosić, Boris, Miša Stojićević, Zorana Jeli, Branislav Pokonstantinović, Alina Duta, and Aleksandra Dragičević. "3D analysis of different metamaterial geometry and simulation of metamaterial usage." FME Transactions 47, no. 2 (2019): 349–54. http://dx.doi.org/10.5937/fmet1902349k.

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Mageed, Ismail A. "The Info-Geometric Analysis of Wind Speed Dynamics and How Energy is Influentially Impacted by Information Geometry (IG)." Journal of Data Analytics and Engineering Decision Making 1, no. 1 (2024): 01–07. https://doi.org/10.33140/jdaedm.01.01.02.

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The use of mathematical models to forecast environmental conditions is covered in this paper. These models work well for larger-scale events, but they become more complicated when it comes to wave processes or local weather. This issue has been tackled using a variety of strategies, such as neural networks and statistical and mathematical models. This method is innovative because it makes use of statistical manifolds, which offer a more precise means of estimating cost functions and distances. To create various models that can be utilised for environmental modelling and forecasting, this work
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Lestari, Dinar Dwi Putri, Mega Teguh Budiarto, and Agung Lukito. "Analisis Kemampuan Spatial Visualization Siswa Sekolah Dasar dalam Pemecahan Masalah Geometri: Ditinjau dari Kemampuan Matematika Tingkat Tinggi." ELSE (Elementary School Education Journal) : Jurnal Pendidikan dan Pembelajaran Sekolah Dasar 5, no. 1 (2021): 55. http://dx.doi.org/10.30651/else.v5i1.7371.

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Abstrak: Kemampuan spasial sangat berkaitan erat dengan geometri. Kemampuan spasial mendukung pemahaman tentang dunia geometris. Penelitian ini bertujuan untuk mendeskripsikan profil kemampuan spasial siswa SD khususnya spatial visualization dengan kemampuan matematika tinggi dalam memecahkan masalah geometri. Subjek dalam penelitian ini adalah siswa kelas 6 SD. Hasil penelitian yang berpendekatan kualitatif ini menggunakan indikator kemampuan spasial yang diadaptasi dari penelitian Lawrie, et al. (2016) dilaksanakan dengan mengggunakan metode triangulasi waktu yakni membandingkan hasil tes da
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Chirag, Kedare. "The Influence of Skew Angles on Prestressed Bridges." International Journal of Recent Technology and Engineering (IJRTE) 14, no. 1 (2025): 41–49. https://doi.org/10.35940/ijrte.A8240.14010525/.

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<strong>Abstract: </strong>Prestressed concrete bridges are crucial in modern infrastructure due to their high durability, low maintenance requirements, and superior load-carrying capacity. However, skew bridges, which feature a non-perpendicular alignment with traffic flow, pose significant challenges in analysis and design. This study presents a comprehensive parametric investigation into the behaviour of prestressed skew bridges to enhance structural understanding and optimize design strategies. Advanced finite element techniques are utilized to analyse the effects of prestressing forces, m
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Gong, Wenjuan, Bin Zhang, Chaoqi Wang, et al. "A Literature Review: Geometric Methods and Their Applications in Human-Related Analysis." Sensors 19, no. 12 (2019): 2809. http://dx.doi.org/10.3390/s19122809.

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Geometric features, such as the topological and manifold properties, are utilized to extract geometric properties. Geometric methods that exploit the applications of geometrics, e.g., geometric features, are widely used in computer graphics and computer vision problems. This review presents a literature review on geometric concepts, geometric methods, and their applications in human-related analysis, e.g., human shape analysis, human pose analysis, and human action analysis. This review proposes to categorize geometric methods based on the scope of the geometric properties that are extracted:
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Utomo, Puji Dwi, Thomas Sukardi, and Sudji Munadi. "Analisis Kualitas Geometris Hasil Praktik Pemesinan Bubut Siswa SMK Jurusan Teknik Pemesinan." JURNAL DINAMIKA VOKASIONAL TEKNIK MESIN 2, no. 1 (2017): 1. http://dx.doi.org/10.21831/dinamika.v2i1.13509.

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This study aims to determine the geometric quality of lathe machining product and what causes the low geometric quality of the lathe machining practices. This research is a descriptive study using a quantitative approach. Data were obtained by documentation and direct observation of the studied object, and then were processed using descriptive statistical analysis. Results show that the average value of the geometric quality of lathe machining products was relatively low, amounted to 67.14. The aspects that caused deficiencies and low geometric quality are, among others, incorrect spindle spee
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Sulastri, Sulastri, Al Kusaeri, Erpin Evendi, and Asri Ode Samura. "Analisis Kesalahan Mahasiswa dalam Memahami Konsep Segitiga dan Segiempat." Jurnal Pemikiran dan Penelitian Pendidikan Matematika (JP3M) 7, no. 1 (2025): 53–61. https://doi.org/10.36765/jp3m.v7i1.728.

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Abstrak: Penelitian ini menganalisis konsep Segitiga dan Segiempat pada Mahasiswa Tadris Matematika semester 2 di Universitas Islam Negeri Mataram. Dengan pendekatan kualitatif dan desain studi kasus, dua siswa dipilih berdasarkan kemampuan tinggi dan berkemampuan rendah. Data dikumpulkan melalui tes esai dan wawancara mendalam. Hasil menunjukkan bahwa siswa berkemampuan rendah sering mengalami kesulitan dalam memahami prodesur dan cenderung membuat asumsi geometri yang salah. Sebaliknya, siswa berkemampuan tinggi mampu menerapkan konsep dengan benar. Temuan ini menekankan pentingnya penguatan
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Abdullah, Ahmad, and Amin Rahmawati. "Eksplorasi Etnomatematika Pada Batik Kayu Krebet Bantul." UNION: Jurnal Ilmiah Pendidikan Matematika 9, no. 2 (2021): 163–72. http://dx.doi.org/10.30738/union.v9i2.9531.

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ABSTRAK Batik merupakan warisan budaya dunia yang dimiliki oleh Indonesia. Di dusun Krebet, Sendangsari, Pajangan, Bantul, Batik dilukis pada kayu atau dikenal dengan Batik Kayu. Batik Kayu ini menghiasai peralatan rumah tangga. Keberadaan batik kayu Krebet ini belum termanfaatkan secara maksimal dalam pembelajaran sains khususnya matematika. Padahal banyak sekali konsep-konsep matematika yang terkandung di dalamnya. Penelitian ini bertujuan mengeksplorasi konsep-konsep matematika pada Batik kayu khususnya materi geometri. Dalam penelitian ini, peneliti menggunakan penelitian eksploratif denga
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MOCHAMAD VALDIANSYAH, FERNINDA ISMA DEA PRASTICA, and DANANG WIJANARKO. "ANALISIS PENGARUH DESAIN GEOMETRIK JALAN TERHADAP TINGKAT KECELAKAAN LALU LINTAS DI LOKASI RAWAN KECELAKAAN." JURNAL DAKTILITAS 4, no. 2 (2025): 65–73. https://doi.org/10.36563/daktilitas.v4i2.1370.

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AbstractThis study aims to analyze the relationship between road geometric parameters and traffic accident rates with a primary focus on the influence of curve radius, road curvature, and side space on the potential foraccidents. This study uses accident data collected from various road sections to see the pattern of relationshipsbetween geometric conditions and accident frequency. The findings show that curves with small radii, sharpcurvatures, and limited side space significantly increase the likelihood of accidents. This study also comparesthe results obtained with previous studies, such as
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Pinus, A. G. "Geometric and conditional geometric equivalences of algebras." Algebra and Logic 51, no. 6 (2013): 507–10. http://dx.doi.org/10.1007/s10469-013-9210-4.

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Dissertations / Theses on the topic "Geometric analysi"

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SOAVE, NICOLA. "Variational and geometric methods for nonlinear differential equations." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/49889.

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This thesis is devoted to the study of several problems arising in the field of nonlinear analysis. The work is divided in two parts: the first one concerns existence of oscillating solutions, in a suitable sense, for some nonlinear ODEs and PDEs, while the second one regards the study of qualitative properties, such as monotonicity and symmetry, for solutions to some elliptic problems in unbounded domains. Although the topics faced in this work can appear far away one from the other, the techniques employed in different chapters share several common features. In the firts part, the variationa
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Karlsson, Jesper. "Symplectic Automorphisms of C2n." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-144390.

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This essay is a detailed survey of an article from 1996 published by Franc Forstneric, where he studies symplectic automorphisms of C2n. The vision is to introduce the density property for holomorphic symplectic manifolds. Our idea is that of Dror Varolin when he in 2001 introduced the concept of density property for Stein manifolds. The main result here is the introduction of symplectic shears on C2n equipped with a holomorphic symplectic form and to show that the group generated by finite compositions of symplectic shears is dense in the group of symplectic automorphisms of C2n in the compac
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Mascellani, Giovanni. "Fourth-order geometric flows on manifolds with boundary." Doctoral thesis, Scuola Normale Superiore, 2017. http://hdl.handle.net/11384/85715.

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Litsgård, Malte. "The Orbit Method and Geometric Quantisation." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-351508.

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Lidén, Joel. "Stock Price Predictions using a Geometric Brownian Motion." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-353586.

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Dahl, Heidi. "Cantor minimal systems and AF-equivalence relations." Doctoral thesis, Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-1897.

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Parra, Rodrigo. "Equidistribution towards the Green current in complex dynamics." Doctoral thesis, KTH, Matematik (Inst.), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-34264.

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Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result.<br><p>QC 20110530</p>
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Hedén, Isac. "Russell’s hypersurface from a geometric point of view." Licentiate thesis, Uppsala universitet, Algebra, geometri och logik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-144688.

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Ahlman, Ove. "A zero-one law for l-colourable structures with a vectorspace pregeometry." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-168215.

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Skäremo, Holmberg Jonas. "Torsten Brodén och kontinuumhypotesen med en introduktion till naiv mängdlära." Thesis, Uppsala universitet, Algebra och geometri, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-171975.

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Books on the topic "Geometric analysi"

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Pawlowsky-Glahn, Vera. Modelling and analysis of compositional data. John Wiley & Sons, Inc., 2015.

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Jordán, Tibor, and Andrzej Zuk. Discrete geometric analysis. Mathematical Society of Japan, 2016.

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Grinberg, Eric L., ed. Geometric Analysis. American Mathematical Society, 1992. http://dx.doi.org/10.1090/conm/140.

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Pérez, Joaquín, and José Gálvez, eds. Geometric Analysis. American Mathematical Society, 2012. http://dx.doi.org/10.1090/conm/570.

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Chen, Jingyi, Peng Lu, Zhiqin Lu, and Zhou Zhang, eds. Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-34953-0.

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Fraser, Ailana, André Neves, Peter M. Topping, and Paul C. Yang. Geometric Analysis. Edited by Matthew J. Gursky and Andrea Malchiodi. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53725-8.

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Bray, Hubert L. Geometric analysis. American Mathematical Society, Institute for Advanced Study, 2015.

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Roux, Brigitte Le. Combinatorial Inference in Geometric Data Analysis. Chapman and Hall/CRC, Taylor & Francis Group, 2019.

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Kotani, Motoko, Tomoyuki Shirai, and Toshikazu Sunada, eds. Discrete Geometric Analysis. American Mathematical Society, 2004. http://dx.doi.org/10.1090/conm/347.

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Byun, Jisoo, Hong Rae Cho, Sung Yeon Kim, Kang-Hyurk Lee, and Jong-Do Park, eds. Geometric Complex Analysis. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1672-2.

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Book chapters on the topic "Geometric analysi"

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Tsujimoto, Satoshi, Tsuyoshi Kato, Ryosuke Kojima, Kazuki Maeda, and Francesco Zanlungo. "Analysis of Autonomous Many-Body Particle Models from Geometric Perspective and Its Applications." In Advanced Mathematical Science for Mobility Society. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9772-5_2.

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AbstractBy introducing geometrical perspectives such as tropical geometry and discrete Morse theory, which have made remarkable progress, we will discuss analytical methods and the development of basic models for autonomous many-body particle interaction systems. In particular, the Burgers Cellular Automaton, which is considered to be the basic traffic flow model, is analyzed by introducing critical cells of discrete Morse theory. An extension to a quantum walk model that takes into account the internal states of particles is also proposed. Finally, future prospects for the application of the
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D’Angelo, John P. "Geometric Considerations." In Hermitian Analysis. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8526-1_4.

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D’Angelo, John P. "Geometric considerations." In Hermitian Analysis. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16514-7_4.

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Königsberger, Konrad. "Geometrie differenzierbarer Kurven." In Analysis. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-11963-1_12.

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Fraser, Ailana. "Extremal Eigenvalue Problems and Free Boundary Minimal Surfaces in the Ball." In Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53725-8_1.

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Marques, Fernando C., and André Neves. "Applications of Min–Max Methods to Geometry." In Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53725-8_2.

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Topping, Peter M. "Ricci Flow and Ricci Limit Spaces." In Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53725-8_3.

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Yang, Paul C. "Pseudo-Hermitian Geometry in 3D." In Geometric Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53725-8_4.

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Huisken, Gerhard. "Heat diffusion in geometry." In Geometric Analysis. American Mathematical Society, 2016. http://dx.doi.org/10.1090/pcms/022/01.

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Topping, Peter. "Applications of Hamilton’s compactness theorem for Ricci flow." In Geometric Analysis. American Mathematical Society, 2016. http://dx.doi.org/10.1090/pcms/022/02.

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Conference papers on the topic "Geometric analysi"

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Perry, Travis, and Andrew Gallaher. "Automated Layout with a Python Integrated NDARC Environment." In Vertical Flight Society 74th Annual Forum & Technology Display. The Vertical Flight Society, 2018. http://dx.doi.org/10.4050/f-0074-2018-12723.

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Geometric layout of an aircraft concept is a fundamental aspect of the design process and can often be a primary driver for design choices, and trade space decisions. Most commonly, geometry is either estimated analytically by performance and sizing tools, from in-production aircraft data, or modeled using Computer Aided Design (CAD). Analytic geometry estimates are often not precise, requiring CAD to refine these estimates. Modeling an aircraft design to the fidelity needed to refine these geometric estimates can be a time consuming process. Furthermore, the initial layout design iterations a
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Skala, Vaclav. "Projective geometry, duality and Plücker coordinates for geometric computations with determinants on GPUs." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992684.

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Castelli, Mauro, Luca Manzoni, Ivo Gonçalves, Leonardo Vanneschi, Leonardo Trujillo, and Sara Silva. "An Analysis of Geometric Semantic Crossover: A Computational Geometry Approach." In 8th International Conference on Evolutionary Computation Theory and Applications. SCITEPRESS - Science and Technology Publications, 2016. http://dx.doi.org/10.5220/0006056402010208.

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Schleich, Benjamin, Michael Walter, Sandro Wartzack, Nabil Anwer, and Luc Mathieu. "A Comprehensive Framework for Skin Model Simulation." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82204.

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The need for geometrical variations management is an important issue in design, manufacturing and all other phases of product development. Two main axioms cover geometrical variations, namely the axiom of manufacturing imprecision and the axiom of measurement uncertainty. Therefore, this paper reviews common models for the description of non-ideal geometry (shape with geometric deviations) and shows how the random field theory can be applied to create more realistic skin models (a model which comprises these geometric deviations). Furthermore, methods to estimate and to express the underlying
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Pérez Escobar, Óscar, Vicente Timón, and Juan Manuel Gallardo. "Numerical Study of Low Engine Order Excitations due to Manufacturing Variability Part 1: Characterization of the Geometric Scatter and its Effect on Forced Response." In ASME Turbo Expo 2024: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/gt2024-126586.

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Abstract The geometric scatter in the surfaces of blades and vanes due to manufacturing variability has an impact on the dynamics (structural mistuning) that has been widely studied, but also on the aerodynamics. This geometric variability changes the fluid field, generating disturbances not directly related to the airfoil count. This work focuses on the aerodynamic forcing generated by this manufacturing variability on the adjacent rows. In this paper, deviations from the nominal geometry are obtained from a set of scanned parts. The average manufactured geometry is computed through the point
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Che, Demeng, Ping Guo, and Kornel F. Ehmann. "Design and Analysis of Helical Needle Tip Grinding Process." In ASME 2012 International Manufacturing Science and Engineering Conference collocated with the 40th North American Manufacturing Research Conference and in participation with the International Conference on Tribology Materials and Processing. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/msec2012-7274.

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A generalized helical needle tip geometry model, which can describe many typical needle tip geometries, including conical, bevel, blunt and helical shapes with proper geometric parameters, is presented based on analogy to the helical point drill geometry. The generality of this model offers a general way for manufacturing various needle tip geometries. A mathematical model of the helical needle tip geometry is provided along with the formulation of the kinematic model of the tip grinding process. The control strategy on a 5-axis grinding machine system is also developed to implement the design
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Yang, Shaoliang, Kang Wang, and Jun Wang. "Enhancing Isogeometric Analysis With NURBS-Based Synthesis." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-142195.

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Abstract Isogeometric analysis (IGA) is a computational technique that integrates computer-aided design (CAD) with finite element analysis (FEA) by employing the same basis functions for both geometry representation and solution approximation. While IGA offers numerous advantages, such as improved accuracy and efficiency, it also presents several challenges related to geometric modeling. Some of these challenges include accurately representing complex geometries with NURBS (Non-Uniform Rational B-Splines) or other basis functions used in IGA and generating high-quality meshes that conform to t
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Lane, R. G., R. M. Clare, and T. Y. Chew. "Analysis of Geometric Wavefront Sensing." In Adaptive Optics: Methods, Analysis and Applications. OSA, 2005. http://dx.doi.org/10.1364/aopt.2005.athc1.

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Hildenbrand, Dietmar. "Foundations of Geometric Algebra computing." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756054.

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Guo, Flynn. "Data-Driven Geometric Efficiency Correction for DUNE-PRISM Analysis." In Data-Driven Geometric Efficiency Correction for DUNE-PRISM Analysis. US DOE, 2023. http://dx.doi.org/10.2172/1998951.

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Reports on the topic "Geometric analysi"

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Vorjohann, Felix, and Reinhard Schiffers. Analysis of spiral mandrel dies with novel channel geometries to draw conclusions on the purging time of the melt using CFD. Universidad de los Andes, 2024. https://doi.org/10.51573/andes.pps39.gs.ex.1.

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Spiral mandrel dies are deeply integrated into the extrusion process and are the predominant die type for manufacturing products with a ring-shaped cross-section, e.g. blown film. The geometry of the axial spiral mandrel die is characterized by a spiral mandrel with one or more feed holes that merge into the spiral channels. The spiral channels themselves are embedded in the mandrel and have a characteristic u-shape in cross-section, which is dictated by the milling head used during manufacturing. In the past, numerous geometric parameters of the conventional axial spiral mandrel distributor h
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Little, Charles, and David Biedenharn. Technical assessment of the Old, Mississippi, Atchafalaya, and Red (OMAR) Rivers : channel geometry analysis. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45147.

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The Old River Control Complex (ORCC) consists of the Low Sill, Auxiliary, and Overbank structures as features of the Old River Control Structure (ORCS) and the privately owned hydro-electric power plant. Operations of the ORCC manage the hydrologic connectivity between the Mississippi River and the Atchafalaya River/Red River systems. The morphology of the Old, the Mississippi, the Atchafalaya, and the Red Rivers (OMAR) has been influenced by the flow distribution at the ORCC, as well as the accompanying bed sediments. A geomorphic assessment of the OMAR is underway to understand the morpholog
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Rashevska, Natalya V., Serhiy O. Semerikov, Natalya O. Zinonos, Viktoriia V. Tkachuk, and Mariya P. Shyshkina. Using augmented reality tools in the teaching of two-dimensional plane geometry. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/4116.

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One of the successful components of quality assimilation of educational material and its further use in the learning process is visualization of material in secondary education institutions. Visualizations need the subjects of the school course, which are the most difficult to understand and essentially do not have at the beginning of the study of widespread practical application, mostly mathematical objects. That is why this study aimed to analyze mobile tools that can be used to visualize teaching geometry. The object of the study is the process of teaching geometry in the middle classes of
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Carlsson, Gunnar, and Mike Mahoney. Geometric Networks Analysis. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada567132.

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Watterberg, P. A. Geometric simplification of analysis models. Office of Scientific and Technical Information (OSTI), 1999. http://dx.doi.org/10.2172/750027.

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Lauth, Timothy, David Biedenharn, Travis Dahl, et al. Technical assessment of the Old, Mississippi, Atchafalaya, and Red (OMAR) Rivers : geomorphic assessment. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45143.

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This report documents the geomorphic assessment component of the Old River, Mississippi River, Atchafalaya River, and Red River System Technical Assessment. The overall objectives of the geomorphic assessment are to utilize all available data to document the historic trends in hydrology, sedimentation, and channel geometry for the rivers in the vicinity of the Old River Control Complex and to summarize the changes observed at locations where repetitive datasets exist and at key reaches that are determined during the study. The geomorphic assessment tasks include data compilation, geometric dat
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Hart, James, Nasir Zulfiqar, and Carl Popelar. L52289 Use of Pipeline Geometry Monitoring to Assess Pipeline Condition. Pipeline Research Council International, Inc. (PRCI), 2008. http://dx.doi.org/10.55274/r0010254.

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Describes an algorithm is developed for deducing the longitudinal or axial strain from geometry pig measurements of a laterally displaced pipeline; often caused by geohazards. The development is limited to those lateral displacements of the pipeline that results in a predominantly transverse loading; i.e., the induced transverse component of the loading is much greater than its axial component. The emphasis is upon evaluating inelastic straining that accompanies large lateral displacement of the pipeline. The induced extensional strain is found to vary linearly with the change in curvature of
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Przebienda, Louis M., and Shawna Youst. Geometric Processor and Multivariate Categorical Processor Market Analysis. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada207281.

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Baraniuk, Richard G., and Hyeokho Choi. Higher-Dimensional Signal Processing via Multiscale Geometric Analysis. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada514181.

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Barlow, Richard E., and Max B. Mendel. Failure Data Analysis Based on Engineering and Geometric Principles. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada296135.

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