Academic literature on the topic 'Geometry Constructions'

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Journal articles on the topic "Geometry Constructions"

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Gulwani, Sumit, Vijay Anand Korthikanti, and Ashish Tiwari. "Synthesizing geometry constructions." ACM SIGPLAN Notices 47, no. 6 (August 6, 2012): 50. http://dx.doi.org/10.1145/2345156.1993505.

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Gulwani, Sumit, Vijay Anand Korthikanti, and Ashish Tiwari. "Synthesizing geometry constructions." ACM SIGPLAN Notices 46, no. 6 (June 4, 2011): 50–61. http://dx.doi.org/10.1145/1993316.1993505.

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Janičić, Predrag. "Geometry Constructions Language." Journal of Automated Reasoning 44, no. 1-2 (June 24, 2009): 3–24. http://dx.doi.org/10.1007/s10817-009-9135-8.

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Sal'kov, N., and Nina Kadykova. "Representation of Engineering Geometry Development in “Geometry and Graphics” Journal." Geometry & Graphics 8, no. 2 (August 17, 2020): 82–100. http://dx.doi.org/10.12737/2308-4898-2020-82-100.

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In the paper "On the Increasing Role of Geometry", published in the electronic "Journal of Natural Science Research" in 2017, it was outspoken a hypothesis that now, at the time of innovative technologies, the importance of geometry is constantly increasing. The significance of geometry is also demonstrated by numerous Ph.D. and doctoral dissertations in the specialty No 05.01.01 - “Engineering Geometry and Computer Graphics”. It can be affirmed that all and everyone dissertations of technical and technological profile contain a geometric component to one degree or another. The "Geometry and Graphics" journal turned 8 (it was founded in June 2012). During this time, on its pages have been published numerous scientific papers, developing namely geometry and its branches: from simplest geometric constructions based on new properties of both lines and surfaces, to imaginary elements. Investigations were conducted in the following areas: “New Directions in Geometry”, “Fractal Geometry”, “Multidimensional Geometry”, “Geometric Constructions”, “Construction and Research of Surfaces”, “Imaginary Geometry”, “Practical Application of Geometry”, “Computer Graphics”, “Descriptive Geometry as Basis of other Branches of Geometry” ,”Geometry of Phase Spaces”. The journal publishes both recognized scientists and candidate for Ph.D. and doctor degrees. The considered array of papers clearly confirms the statement of the majority of authors, published in the journal, about geometry continuous development, which knocks out the ground for skeptics who decided that geometry is the science of the past centuries. As long as objects with shapes and surfaces surround us, geometry will be in demand. This, as they say, is unequivocal.
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Boyer, Charles P., Krzysztof Galicki, and Liviu Ornea. "Constructions in Sasakian geometry." Mathematische Zeitschrift 257, no. 4 (April 20, 2007): 907–24. http://dx.doi.org/10.1007/s00209-007-0151-2.

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Roberti, Joseph V. "Some Challenging Constructions." Mathematics Teacher 79, no. 4 (April 1986): 283–87. http://dx.doi.org/10.5951/mt.79.4.0283.

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In his book A Survey of Geometry, Howard Eves (1966, 183) states, “The Greek geometers of antiquity devised a game— which judged on … [challenge, variety and simplicity] must surely stand at the very top of any list of games to be played alone.”
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Giamati, Claudia. "Conjectures in Geometry and The Geometer's Sketchpad." Mathematics Teacher 88, no. 6 (September 1995): 456–58. http://dx.doi.org/10.5951/mt.88.6.0456.

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The Geometer's Sketchpad lets the user explore simple, as well as highly complex, theorems and relations in geometry. Although the user interface takes time to learn, students can use it to test a wide variety of conjectures once they have mastered this construction tool. The Geometer's Sketchpad has the ability to record students' constructions as A scripts. The most useful aspect of scripting one's constructions is that students can test whether their constructions work in general or whether they have discovered a special case.
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Chaoping Xing, H. Niederreiter, and Kwok Yan Lam. "Constructions of algebraic-geometry codes." IEEE Transactions on Information Theory 45, no. 4 (May 1999): 1186–93. http://dx.doi.org/10.1109/18.761259.

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Milman, V., and L. Rotem. "“Irrational” constructions in Convex Geometry." St. Petersburg Mathematical Journal 29, no. 1 (December 27, 2017): 165–75. http://dx.doi.org/10.1090/spmj/1487.

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Evered, Lisa. "Tape Constructions." Mathematics Teacher 80, no. 5 (May 1987): 353–56. http://dx.doi.org/10.5951/mt.80.5.0353.

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Construction problems long have been a favorite subject in geometry. Indeed, students find constructions a welcome diversion from the formal deductive approach to geometry. In classical construction problems only the use of ruler and compass is allowed, and the ruler is used merely as a straightedge, not for measuring or marking off distances. This restriction to ruler and compass goes back to antiquity. The Greeks, however, did not hesitate to use other instruments when the need arose. For example, a ruler in the form of a right angle was used to solve certain problems such as “doubling the cube” (Courant and Robbins 1941).
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Dissertations / Theses on the topic "Geometry Constructions"

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Jadda, Zoubida. "Constructions de places reelles et geometrie semi-algebrique." Rennes 1, 1986. http://www.theses.fr/1986REN10102.

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Cette these a pour objet de montrer l'existence d'une chaine d'anneaux de valuations reels d'un corps de fonctions r(v) d'une variete algebrique affine irreductible v, qui sont convexes pour un meme ordre sur r(v) et dont le centre, la dimension, le rang et le rang rationnel, verifiant certaines conditions, sont donnes. La technique de demonstration est un pur produit de la geometrie algebrique reelle. Elle utilise le spectre et la triangulation par un homeomorphisme semi-algebrique
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Löfstedt, Tommy. "Fractal Geometry, Graph and Tree Constructions." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-51347.

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In the 18th and 19th centuries the branch of mathematics that would later be known as fractal geometry was developed. It was the ideas of Benoˆıt Mandelbrot that made the area expand so rapidly as it has done recently, and since the publication of his works there have for fractals, and most commonly the estimation of the fractal dimension, been found uses in the most diverse applications. Fractal geometry has been used in information theory, economics, flow dynamics and image analysis, among many different areas. This thesis covers the foundations of fractal geometry, and gives most of the fun- damental definitions and theorems that are needed to understand the area. Concepts such as measure and dimension are explained thoroughly, especially for the Hausdorff di- mension and the Box-counting dimension. An account of the graph-theoretic approach, which is a more general way to describe self-similar sets is given, as well as a tree- construction method that is shown to be equivalent to the graph-theoretic approach.
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Strawn, Nathaniel Kirk. "Geometry and constructions of finite frames." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1335.

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Leung, Hoi-cheung, and 梁海翔. "Enhancing students' ability and interest in geometry learning through geometric constructions." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B48367746.

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Students nowadays are relatively confident in directly applying geometrical theorems and theories. Nevertheless, it has been a common phenomenon that students are not confident in constructing geometric proofs. They lack the confidence and sufficient experience and knowledge in conducting deductive geometrical proofs. To some students, they treat proofs simply as another type of examination questions which they can tackle by repeated drillings. Students make use of straightedges and compasses to construct different geometry figures in geometric constructions. Through geometric constructions, we can train our prediction and logical thinking skills when investigating the properties of geometric figures. Geometric constructions provide students with hands-on experience to geometry learning which requires students to have more in-depth thinking. This is an empirical study on the implementation of geometric construction workshops among junior secondary students in Hong Kong. Results have shown that students enjoyed the construction tasks during the workshops. Analysis has implied that geometric constructions help improve students’ ability in constructing geometric proofs and to raise their interests in geometry learning.
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O'Neill, Edward Finbar. "Geometry based constructions for curves and surfaces." Thesis, University of Birmingham, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.251132.

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Jacobs, Andrew D. "Nonstandard quantum groups : twisting constructions and noncommutative differential geometry." Thesis, University of St Andrews, 1998. http://hdl.handle.net/10023/13693.

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The general subject of this thesis is quantum groups. The major original results are obtained in the particular areas of twisting constructions and noncommutative differential geometry. Chapters 1 and 2 are intended to explain to the reader what are quantum groups. They are written in the form of a series of linked results and definitions. Chapter 1 reviews the theory of Lie algebras and Lie groups, focusing attention in particular on the classical Lie algebras and groups. Though none of the quoted results are due to the author, such a review, aimed specifically at setting up the paradigm which provides essential guidance in the theory of quantum groups, does not seem to have appeared already. In Chapter 2 the elements of the quantum group theory are recalled. Once again, almost none of the results are due to the author, though in Section 2.10, some results concerning the nonstandard Jordanian group are presented, by way of a worked example, which have not been published. Chapter 3 concerns twisting constructions. We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the familiar standard quantum groups, to generate new as well as previously known examples of non-standard quantum groups. In particular we are able to construct generalisations of both the Cremmer-Gervais deformation of SL(3) and the so called esoteric quantum groups of Fronsdal and Galindo in an explicit and straightforward manner. In Chapter 4 we consider the differential calculus on Hopf algebras as introduced by Woronowicz. We classify all 4-dimensional first order bicovariant calculi on the Jordanian quantum group GL[sub]h,[sub]g(2) and all 3-dimensional first order bicovariant calculi on the Jordanian quantum group SL[sub]h(2). In both cases we assume that the bicovariant bimodules are generated as left modules by the differentials of the quantum group generators. It is found that there are 3 1-parameter families of 4-dimensional bicovariant first order calculi on GL[sub]h,[sub]g(2) and that there is a single, unique, 3-dimensional bicovariant calculus on SL[sub]h(2). This 3-dimensional calculus may be obtained through a classical-like reduction from any one of the three families of 4-dimensional calculi on GL[sub]h,[sub]g(2). Details of the higher order calculi and also the quantum Lie algebras are presented for all calculi. The quantum Lie algebra obtained from the bicovariant calculus on SL[sub]h(2) is shown to be isomorphic to the quantum Lie algebra we obtain as an ad-submodule within the Jordanian universal enveloping algebra U[sub]h(sl[sub]2(C)) and also through a consideration of the decomposition of the tensor product of two copies of the deformed adjoint module. We also obtain the quantum Killing form for this quantum Lie algebra.
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Bojorquez, Betzabe. "Geometric Constructions from an Algebraic Perspective." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/237.

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Many topics that mathematicians study at times seem so unrelated such as Geometry and Abstract Algebra. These two branches of math would seem unrelated at first glance. I will try to bridge Geometry and Abstract Algebra just a bit with the following topics. We can be sure that after we construct our basic parallel and perpendicular lines, bisected angles, regular polygons, and other basic geometric figures, we are actually constructing what in geometry is simply stated and accepted, because it will be proven using abstract algebra. Also we will look at many classic problems in Geometry that are not possible with only straightedge and compass but need a marked ruler.
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Renaudineau, Arthur. "Constructions de surfaces algébriques réelles." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066249/document.

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Cette thèse est motivée par les problèmes de constructions de surfaces algébriques réelles. Nous nous intéressons plus particulièrement au problème de construire des surfaces algébriques réelles avec un grand nombre d'anses. Ce problème est relié à la conjecture de Viro, dont un contre exemple a été construit pour la première fois par I. Itenberg en 1993. L'outil fondamental de nos constructions est le patchwork de Viro, qui peut également s'interpréter par la géométrie tropicale. En utilisant la géométrie tropicale, et plus particulièrement les modifications tropicales, nous donnons une nouvelle construction d'une famille de courbes algébriques réelles planes avec un nombre asymptotiquement maximal d'ovals pairs. Cette famille avait été construite initialement en 2006 par E. Brugallé. En utilisant la méthode générale du patchwork, nous donnons ensuite une construction d'une sextique réelle avec 45 anses, améliorant ainsi un résultat de 2001 de F. Bihan. Enfin, nous nous penchons sur l'étude des surfaces algébriques réelles dans P1xP1xP1 et nous construisons notamment une famille de surfaces algébriques réelles de tridegré (2k,2l,2) dans P1xP1xP1 avec un premier nombre de Betti asymptotiquement maximal. Cette construction utilise une généralisation de la méthode du patchwork de Viro faite par E. Shustin en 1998
In this thesis, we focus on constructions of real algebraic surfaces. The main problem we focus on is to construct real algebraic surfaces with a big number of handles. This problem is related to Viro's conjecture. A couterexample to Viro's conjecture was constructed at the first time by I. Itenberg in 1993. The fundamental tool to our constructions is Viro's patchworking. Viro's patchworking can be reformulated in terms of tropical geometry. Using tropical geometry, and more precisely tropical modifications, we give a new construction of a family of real algebraic plane curves with asymptotically a maximal number of even ovals. This family was first constructed in 2006 by E. Brugallé. Using Viro's patchworking, we construct a real sextic with 45 handles, improving a result of F. Bihan obtained in 2001. At least, we focus on the study of real algebraic surfaces in P1xP1xP1. More precisely, we construct a family of real algebraic surfaces of tridegree (2k,2l,2) in P1xP1xP1 with asymptotically a maximal first Betti number. This construction uses a more general version of Viro's patchworking due to E. Shustin in 1998
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Fehlinger, Luise. "Boundary constructions for CR manifolds and Fefferman spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/17020.

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In dieser Dissertation werden Cartan-Ränder von CR-Mannigfaltigkeiten und ihren Fefferman-Räumen besprochen. Der Fefferman-Raum einer strikt pseudo-konvexen CR-Mannigfaltigkeit ist als das Bündel aller reellen Strahlen im kanonischen, komplexen Linienbündel definiert. Eine andere Definition nutzt die Cartan-Geometrie und führt zu einer starken Beziehung zwischen den Cartan-Geometrien der CR-Mannigfaltigkeit und des zugehörigen Fefferman-Raumes. Allerdings wird hier die Existenz einer gewissen Wurzel des antikanonischen, komplexen Linienbündels, dessen Existenz nur lokal gesichert ist, vorausgesetzt. Für Randkonstruktionen benötigen wir jedoch eine globale Konstruktion des Fefferman-Raumes. Dennoch können lokale Resultate zum Fefferman-Raum von einer Konstruktion zur anderen übertragen werden können, da konforme Überlagerungen von beiden vorliegen. Der Cartan-Rand einer Mannigfaltigkeit wird mithilfe der zugehörigen Cartan-Geometrie konstruiert, welche eine globale Basis und damit auch eine Riemannsche Metrik auf dem Cartan-Bündel definiert, welches per Cauchy-Vervollständigung abgeschlossen wird. Division durch die Strukturgruppe ergibt den Cartan-Rand der Mannigfaltigkeit. Der Cartan-Rand ist eine Verallgemeinerung des Cauchy-Randes, da beide im Riemannschen übereinstimmen. Allgemein ist der Cartan-Rand nicht unbedingt Hausdorffsch, was nicht wirklich überrascht, sind doch Rand-Phänomene "irgendwie singulär". Wir stellen fest, dass für CR-Mannigfaltigkeit und ihre Fefferman-Räume die Projektion des Cartan-Randes des Fefferman-Raumes den Cartan-Rand der CR-Mannigfaltigkeit enthält. Schließlich betrachten wir die Heisenberg-Gruppe, eines der grundlegenden Beispiele für CR-Mannigfaltigkeiten. Sie ist flach aber - anders als der homogene Raum - nicht kompakt. Wir finden, dass der Cartan-Rand der Heisenberg-Gruppe ein einzelner Punkt und der Cartan-Rand des zugehörigen Fefferman-Raumes eine nicht-ausgeartete Faser über diesem ist.
The aim of this thesis is to discuss the Cartan boundaries of CR manifolds and their Fefferman spaces. The Fefferman space of a strictly pseudo-convex CR manifold is defined as the bundle of all real rays in the canonical complex line bundle. Another way of defining the Fefferman space of a CR manifold uses the tools of Cartan geometry and leads to a strong relationship between the Cartan geometries of a CR manifold and the corresponding Fefferman space. However here the existence of a certain root of the anticanonical complex line bundle is requested which can solely be guarantied locally. As we are interested in boundaries we need a global construction of the Fefferman space. Still we find that local results on the Fefferman space can be transferred from one construction to the other since we have conformal coverings of both. The Cartan boundary of a manifold is constructed with the help of the corresponding Cartan geometry, which defines a global frame and hence a Riemannian metric on the Cartan bundle which can be completed by Cauchy completion. Division by the structure group gives the Cartan boundary of the manifold. The Cartan boundary is a generalization of the Cauchy boundary since both coincide in the Riemannian case. In general the Cartan boundary is not necessarily Hausdorff, which is not really surprising since boundary phenomena are somehow ``singular''''. For CR manifolds and their Fefferman spaces we especially prove that the projection of the Cartan boundary of the Fefferman space contains the Cartan boundary of the CR manifold. We finally discuss the Heisenberg group, one of the basic examples of CR manifolds. It is flat but - contrary to the homogeneous space - not compact. We find that the Cartan boundary of the Heisenberg group is a single point and the Cartan boundary of the corresponding Fefferman space is a non degenerate fibre over that point.
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Pedersen, H. "Geometry and magnetic monopoles : Constructions of Einstein metrics and Einstein-Weyl geometries." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.353118.

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Books on the topic "Geometry Constructions"

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O'Neill, Edward Finbar. Geometry based constructions for curves and surfaces. Birmingham: Universityof Birmingham, 1993.

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Ruler and the round: Classic problems in geometric constructions. Mineola, N.Y: Dover Publications, 2003.

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Sutton, Andrew. Ruler & compass: Practical geometric constructions. New York: Walker, 2009.

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Brauner, Heinrich. Lehrbuch der konstruktiven Geometrie. Wien: Springer, 1986.

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Kolíbal, Stanislav. Stanislav Kolibal: Konstrukcje, Muzeum Sztuki, Łódź, 16.III-25.IV 1993 = constructions. Łódź: Muzeum Sztuki, 1993.

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Borwein, Jonathan M. Convex functions: Constructions, characterizations and counterexamples. Cambridge: Cambridge University Press, 2010.

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Fogel, Efi. CGAL arrangements and their applications: A step-by-step guide. Heidelberg: Springer, 2012.

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Teaching geometry, tilings and patterns to children. Kitchener, ON: Euclid Geometrics, 2000.

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Pavlovskiĭ, I︠U︡ N. Vvedenie v geometricheskui︠u︡ teorii︠u︡ dekompozit︠s︡ii. Moskva: Fazis, 2006.

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Fogel, Efi. CGAL arrangements and their applications: A step-by-step guide. Heidelberg: Springer, 2012.

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Book chapters on the topic "Geometry Constructions"

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Holme, Audun. "Constructions with Straightedge and Compass." In Geometry, 329–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04720-0_16.

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Holme, Audun. "Constructions with Straightedge and Compass." In Geometry, 413–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14441-7_17.

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Lazarsfeld, Robert. "Asymptotic Constructions." In Positivity in Algebraic Geometry II, 269–321. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18810-7_7.

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Smith, Karen E., Lauri Kahanpää, Pekka Kekäläinen, and William Traves. "Classical Constructions." In An Invitation to Algebraic Geometry, 63–84. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-4497-2_5.

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Freeman, Christopher M. "Kites and Basic Constructions." In Hands-On Geometry, 9–18. New York: Routledge, 2021. http://dx.doi.org/10.4324/9781003235477-2.

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de Bartolomeis, Paolo. "Twistor Constructions for Vector Bundles." In Complex Analysis and Geometry, 103–14. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4757-9771-8_3.

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Westphal, Laurie E. "Logic, Constructions, and Probability." In Differentiating Instruction With Menus Geometry, 149–58. New York: Routledge, 2021. http://dx.doi.org/10.4324/9781003234364-11.

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Holme, Audun. "Constructions and Representable Functors." In A Royal Road to Algebraic Geometry, 161–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-19225-8_7.

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Brüderlin, Beat. "Automatizing geometric proofs and constructions." In Computational Geometry and its Applications, 232–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/3-540-50335-8_38.

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Tan, Ngo Dac, and Chawalit Iamjaroen. "Constructions for Nonhamiltonian Burkard-Hammer Graphs." In Combinatorial Geometry and Graph Theory, 185–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-30540-8_21.

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Conference papers on the topic "Geometry Constructions"

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Gulwani, Sumit, Vijay Anand Korthikanti, and Ashish Tiwari. "Synthesizing geometry constructions." In the 32nd ACM SIGPLAN conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/1993498.1993505.

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Albuquerque, Rui, Rui Loja Fernandes, and Roger Picken. "Twistorial Constructions of Special Riemannian Manifolds." In GEOMETRY AND PHYSICS: XVI International Fall Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2958161.

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Polyanskii, Nikita, and Ilya Vorobyev. "Constructions of Batch Codes via Finite Geometry." In 2019 IEEE International Symposium on Information Theory (ISIT). IEEE, 2019. http://dx.doi.org/10.1109/isit.2019.8849736.

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Nazer, Bobak, and Stark C. Draper. "Gaussian red alert exponents: Geometry and code constructions." In 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2010. http://dx.doi.org/10.1109/allerton.2010.5706968.

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Tamaki, Dai. "Two-Sided Bar Constructions for Partial Monoids and Applications to K-Homology Theory." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0006.

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Chen, Fangni, Lei Shen, and Shiju Li. "Constructions of Euclidean Geometry LDPC Codes and Performance Analysis in MIMO-OFDM System." In 2006 International Multi-Symposiums on Computer and Computational Sciences (IMSCCS). IEEE, 2006. http://dx.doi.org/10.1109/imsccs.2006.203.

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Collins, Curtis L. "Geometric Constructions for Determining the Screw Reciprocal to Five Lines." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57413.

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Screws reciprocal to five lines appear in the inverse Jacobian and statics equations of many serial and parallel robots. By closely examining the geometry of systems of five lines, a set of geometric procedures for computing reciprocal screws is derived. The methodology is based on the fact that one screw in a cylindroid reciprocal to four lines is reciprocal to a fifth independent line. The constructions are easy to implement and provide geometric insight into reciprocal screws and singularities.
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Shabanova, Maria. "DYNAMIC MODELING AS A TOOL OF SEARCHING FOR AUXILIARY CONSTRUCTIONS IN SOLVING GEOMETRY PROBLEMS." In 5th SGEM International Multidisciplinary Scientific Conferences on SOCIAL SCIENCES and ARTS SGEM2018. STEF92 Technology, 2018. http://dx.doi.org/10.5593/sgemsocial2018/3.4/s13.033.

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Tekić, Žikica, Ljiljana Kozarić, and Martina Vojnić Purčar. "TIMBER FRAME TRUSS CONSTRUCTIONS IN THE LKV SYSTEM." In GEO-EXPO 2020. DRUŠTVO ZA GEOTEHNIKU U BOSNI I HERCEGOVINI, 2020. http://dx.doi.org/10.35123/geo-expo_2020_8.

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The paper presents timber frame truss constructions in the LKV system and their application in the one hipped end gable roofs. Special attention is paid to the design of the side sector of the roof, as a function of the static height of the girder and the size of the associated load. The basic principles of functional organization of characteristic roof sectors are given, which is important for defining the geometry of all girders that form a timber structure. Unification of prefabricated elements is important for the production and economy of the timber structure. As part of the timber structure, the position and geometry of the bracings are also given, as constituent elements of the roof structure.
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10

Lee, C. H., J. S. Letcher, R. G. Mark, J. N. Newman, D. M. Shook, and E. Stanley. "Integration of Geometry Definition and Wave Analysis Software." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28465.

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In a paper presented at OMA 2001, an extension of the panel code WAMIT was described where the surface geometry of the structure is represented explicitly and the solution for the velocity potential is approximated by higher-order B-splines. This permits an exact representation of the geometry in many applications, and avoids the effort and approximations inherent in preparing traditional low-order panel inputs. However the algorithms for the explicit geometry definition must be coded in special ad hoc subroutines for each type of structure. In the present paper we describe recent work to integrate the programs MultiSurf and WAMIT, in a manner which circumvents the need for special subroutines. In most practical cases this leads to a substantial reduction of the work required to perform computations of wave effects on structures. MultiSurf is a CAD program which enables users to define surface geometry with a high degree of accuracy, efficiency, and generality. It has been used extensively to develop low-order panel input files for ships and offshore structures, as well as for a variety of other marine design applications. The fundamental approach is to represent each part of the surface which is smooth and continuous by a parametric surface ‘patch’, using appropriate surface constructions which allow these patches to be joined robustly. The kernel of MultiSurf, known as RGKernel, includes the necessary code to evaluate surface locations and derivatives. A close integration of MultiSurf and WAMIT has been achieved by linking RGKernel with WAMIT, so that the same geometry can be reproduced during the hydrodynamic analysis. This integration makes it possible for users to define the geometry of structures interactively in MultiSurf, and to transfer this representation to WAMIT without significant extra effort. Thus the hydrodynamic analysis can be performed with exact or highly accurate representations of the geometry, and with the increased accuracy and efficiency inherent in the higher-order solution based on B-spline representation of the potential. After a brief explanation of the methodology, illustrative results are described for several examples. Comparisons are made of the accuracy, efficiency and workload, relative to the conventional use of low-order panels.
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Reports on the topic "Geometry Constructions"

1

Hellerman, Simeon. GEOMETRIC CONSTRUCTIONS OF NONGEOMETRIC STRING THEORIES. Office of Scientific and Technical Information (OSTI), September 2002. http://dx.doi.org/10.2172/801814.

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2

ZEHNER, Björn. Constructing Geometric Models of the Subsurface for Finite Element Simulation. Cogeo@oeaw-giscience, September 2011. http://dx.doi.org/10.5242/iamg.2011.0069.

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3

Mayne, Casey, David May, and David Biedenharn. Empirical analysis of effects of dike systems on channel morphology and flowlines. Engineer Research and Development Center (U.S.), March 2021. http://dx.doi.org/10.21079/11681/39799.

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A phased study of the dike fields within the Vicksburg and Memphis Districts of the US Army Corps of Engineers was conducted to document the channel morphology trends since dike construction on the Lower Mississippi River (LMR). This included the development of the hydrographic survey database and methodology utilized to identify changes in channel geometry in response to dike construction. A subsequent report will provide further refinements to the approach and results of the comprehensive assessment. Recent Mississippi River Geomorphology and Potamology program efforts have employed the database developed by Mr. Steve Cobb to assess the geomorphic changes in 21 dike systems along the LMR. Previous studies using this database have indicated that the dike fields have not caused a loss of channel capacity. Furthermore, these efforts suggested that the trends in the dike fields are closely related to the long-term geomorphic trends along the LMR. Previous efforts using the Cobb database provided considerable insight into the dike effects on the LMR, but they were limited spatially and temporally. In this study, a database and protocols were developed to allow for a more robust assessment of dike field impacts and to extend the spatial and temporal extents of the analysis.
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4

Li, Howell, Jijo K. Mathew, Woosung Kim, and Darcy M. Bullock. Using Crowdsourced Vehicle Braking Data to Identify Roadway Hazards. Purdue University, 2020. http://dx.doi.org/10.5703/1288284317272.

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Modern vehicles know more about the road conditions than transportation agencies. Enhanced vehicle data that provides information on “close calls” such as hard braking events or road conditions during winter such as wheel slips and traction control will be critical for improving safety and traffic operations. This research applied conflict analyses techniques to process approximately 1.5 million hard braking events that occurred in the state of Indiana over a period of one week in August 2019. The study looked at work zones, signalized intersections, interchanges and entry/exit ramps. Qualitative spatial frequency analysis of hard-braking events on the interstate demonstrated the ability to quickly identify temporary and long-term construction zones that warrant further investigation to improve geometry and advance warning signs. The study concludes by recommending the frequency of hard-braking events across different interstate routes to identify roadway locations that have abnormally high numbers of “close calls” for further engineering assessment.
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5

Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 4 – Freeport. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41903.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level (SWL) and wave hazards for the Freeport CSRM structures. Coastal SWL and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 2 – Port Arthur. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41901.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level and wave hazards for the Port Arthur CSRM structures. Coastal storm water level (SWL) and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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7

Stehno, Abigail, Jeffrey Melby, Shubhra Misra, Norberto Nadal-Caraballo, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 3 – Orange County. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41902.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level (SWL) and wave hazards for the Orange County CSRM structures. Coastal SWL and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP values for overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide elevations.
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8

Melby, Jeffrey, Thomas Massey, Abigail Stehno, Norberto Nadal-Caraballo, Shubhra Misra, and Victor Gonzalez. Sabine Pass to Galveston Bay, TX Pre-construction, Engineering and Design (PED) : coastal storm surge and wave hazard assessment : report 1 – background and approach. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41820.

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The US Army Corps of Engineers, Galveston District, is executing the Sabine Pass to Galveston Bay Coastal Storm Risk Management (CSRM) project for Brazoria, Jefferson, and Orange Counties regions. The project is currently in the Pre-construction, Engineering, and Design phase. This report documents coastal storm water level and wave hazards for the Port Arthur CSRM structures. Coastal storm water level (SWL) and wave loading and overtopping are quantified using high-fidelity hydrodynamic modeling and stochastic simulations. The CSTORM coupled water level and wave modeling system simulated 195 synthetic tropical storms on three relative sea level change scenarios for with- and without-project meshes. Annual exceedance probability (AEP) mean values were reported for the range of 0.2 to 0.001 for peak SWL and wave height (Hm0) along with associated confidence limits. Wave period and mean wave direction associated with Hm0 were also computed. A response-based stochastic simulation approach is applied to compute AEP runup and overtopping for levees and overtopping, nappe geometry, and combined hydrostatic and hydrodynamic fluid pressures for floodwalls. CSRM structure crest design elevations are defined based on overtopping rates corresponding to incipient damage. Survivability and resilience are evaluated. A system-wide hazard level assessment was conducted to establish final recommended system-wide CSRM structure elevations.
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