Статті в журналах: "Modulo geometrico"

1

Kaneko, Hajime. "Distribution of Geometric Sequences Modulo 1." Results in Mathematics 52, no. 1-2 (July 21, 2008): 91–109. http://dx.doi.org/10.1007/s00025-008-0287-3.

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2

Sovrano, Valeria Anna, and Giorgio Vallortigara. "Dissecting the Geometric Module." Psychological Science 17, no. 7 (July 2006): 616–21. http://dx.doi.org/10.1111/j.1467-9280.2006.01753.x.

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3

Bekti, Novita, Winda Dwi, Nofefta Gola, Reni Raudhotus, Lailatul Nuraini, and Firdha Kusuma Ayu Anggraeni. "PENGEMBANGAN MODUL INTERAKTIF BERBASIS MACROMEDIA FLASH 8 PADA MATERI OPTIK GEOMETRI." ORBITA: Jurnal Kajian, Inovasi dan Aplikasi Pendidikan Fisika 7, no. 1 (May 5, 2021): 123. http://dx.doi.org/10.31764/orbita.v7i1.3971.

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ABSTRAKTeknologi yang berkembang semakin pesat menuntut adanya inovasi dalam dunia pendidikan demi terwujudnya pendidikan yang bermutu. Modul interaktif menjadi salah satu solusi dalam penyampaian materi di setiap pembelajaran. Hal ini dikarenakan tampilan modul yang menarik dan jelas. Tujuan penelitian ini ialah untuk mendeskripsikan respon mahasiswa terhadap pengembangan modul interaktif berbasis macromedia flash 8 pada materi optik geometri. Penelitian ini merupakan penelitian pengembangan dengan menggunakan model pengembangan ADDIE. Modul ini dilengkapi dengan animasi pendukung materi serta soal-soal latihan agar mahasiswa mampu mengasah kemampuannya setelah mempelajari modul tersebut. Subyek penelitian ini ialah mahasiswa mata kuliah Fisika Dasar III di Program Studi Pendidikan Fisika Universitas Jember dengan teknik pengumpulan data menggunakan angket respon. Hasil yang diperoleh dari penyebaran angket respon yakni 79,8% dengan kategori baik. Sehingga dapat disimpulkan bahwa modul interaktif ini diterima dengan baik oleh mahasiswa dan dapat membantu mahasiswa dalam proses pembelajaran pada materi optik geometri. Kata Kunci : macromedia flash 8; modul interaktif; optik geometri. ABSTRACTTechnology that is growing rapidly demands innovation in the world of education for the sake of a quality education. The interactive module is one of the solutions in delivering material in each lesson. This is due to the attractive and clear appearance of the module. The purpose of this study was to describe the student's response to the development of an interactive module based on macromedia flash 8 on geometric optics. This research is a development research using the ADDIE development model. This module is equipped with animation supporting material and practice questions so that students are able to hone their skills after studying the module. The subjects of this study were students of the Basic Physics subject III in the Physics Education Study Program of the University of Jember. The data collection technique used a response questionnaire to collect data. The results obtained from the distribution of response questionnaires were 79,8% with good categories. So it can be concluded that this interactive module is well received by students and can help students in the learning process on geometric optical material. Keywords : macromedia flash 8; an interactive module; optical geometry

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4

Dunn, Corey, and Zoë Smith. "Algebraic restrictions on geometric realizations of curvature models." Archivum Mathematicum, no. 3 (2021): 175–94. http://dx.doi.org/10.5817/am2021-3-175.

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5

Seppala, M., and T. Sorvali. "Geometric moduli for klein surfaces." Rocky Mountain Journal of Mathematics 19, no. 3 (September 1989): 939–46. http://dx.doi.org/10.1216/rmj-1989-19-3-939.

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6

ELSENHANS, ANDREAS-STEPHAN, and JÖRG JAHNEL. "On the computation of the Picard group for K3 surfaces." Mathematical Proceedings of the Cambridge Philosophical Society 151, no. 2 (June 10, 2011): 263–70. http://dx.doi.org/10.1017/s0305004111000326.

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AbstractWe present a method to construct examples of K3 surfaces of geometric Picard rank 1. Our approach is a refinement of that of R. van Luijk. It is based on an analysis of the Galois module structure on étale cohomology. This allows us to abandon the original limitation to cases of Picard rank 2 after reduction modulo p. Furthermore, the use of Galois data enables us to construct examples that require significantly less computation time.

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7

Demchyshyn, Anatoliy, and Ganna Smakovska. "Research of Geometric and Information Models for Awning Structures." Mathematical and computer modelling. Series: Technical sciences 23 (December 6, 2022): 36–44. http://dx.doi.org/10.32626/2308-5916.2022-23.36-44.

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The article analyzes membrane (awning) structures, which become relevant due to their cost-effectiveness and the creation of original forms. The characteristics of awning structures, the possibilities of molding, the use of various materials and combined options for com-bining an awning with other materials are considered. Due to their cost-effectiveness, tent structures are becoming increasingly popular today, because in modern socio-economic conditions there is a need for the rapid construction of low-cost buildings to overcome the shortage of mobile housing and structures for other purposes. In the conditions of restoration of the lost objects of buildings and structures, the use of tent coverings is important. Their development was held back for a long time due to the non-compliance of domestic tent materials with the high requirements for tent coverings of this type, namely: strength, durability, color diversity, light fastness, etc. The use of hinged struc-tures allows you to create small architectural forms and mobile build-ingsthat are not only quickly erected, but also easilytransformed in accordance with a change in functionality. This allows you to create new types of objects, such as stadiums, airports, giant greenhouses, bo-tanical gardens, warehouses, etc. Modern technologies combine the advantages of industrial construction methods with the individualiza-tion of form and open the way to the use of various awning structures. Membrane coatings, as one of the modern trends in the presentation of a new form of roofing, create new spatial characteristics of architectur-al objects. They form expanses freed from bulky internal structures. The freedom of space determines the flexibility and functionality of its use, a high degree of adaptation and, as a result, the durability of the space and structure. Having a wide variety of forms, this type of coat-ing has broad prospects for use along with other architectural and struc-tural systems. To ensure such characteristics, the article proposes an in-formation model of the proportionality of the elements of the architec-tural form, established on the basis of the information modularity of the relations of the elements for the volumetric structure.

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8

Lapkovsky, Serhii, Liudmyla Danylova, Volodymyr Frolov, Vasyl Prykhodko, and Maksym Gladskyi. "GEOMETRIC ASPECT OF CHOOSING MODELS OF BASIC TECHNOLOGICAL EQUIPMENT." Technical Sciences and Technologies, no. 4(30) (2022): 40–49. http://dx.doi.org/10.25140/2411-5363-2022-4(30)-40-49.

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Now methodological aspect of choosing machine tools is still not worked out, we can clearly conclude that it is a very urgent task that needs a special attention and responsibility. The purpose of the article is to create methodological foundations for a more justified choice of models of metal cutting machines when designing technological processes of manufacturing parts. It is proved in the article that the geometry of surfaces is the dominant feature of the items in the solution of the problem of choosing a particular model of machine tool, which can provide a process forthe manufacture of the part.

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9

Zhang, Zi Li, Jiang Yuan, Wei Hu Zhou, Ya Wei Wang, and Yan Xu. "Design and Implementation of Software System for Large-Scale Coordinate Measurement Based on the Laser Tracker." Applied Mechanics and Materials 103 (September 2011): 320–26. http://dx.doi.org/10.4028/www.scientific.net/amm.103.320.

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The laser tracking system is widely used in the large-scale measurement field in industry providing accurate spatial information of measured objects. In this paper, the frame of software system for the laser tracker is introduced, as well as the design and implementation of each module. With the help of the software, customers can attain high precision measuring results within large volume. Functions of information communication, command control, error calibration and compensation, geometric element analysis and display can also be realized. The software system is divided into six modules, including the interconnect communication and on-line control module, error calibration and compensation module, data analysis module, database management module, 3D display of geometrical elements and man-machine interface. The design and construction of each module is described in detail which can help customers realize different functions throughout the measuring process.

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10

Becker, Katrin, Melanie Becker, Cumrun Vafa, and Johannes Walcher. "Moduli stabilization in non-geometric backgrounds." Nuclear Physics B 770, no. 1-2 (May 2007): 1–46. http://dx.doi.org/10.1016/j.nuclphysb.2007.01.034.

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11

Gurevich, M. I., and A. V. Pryanichnikov. "Algorithms of NCG geometrical module." Physics of Atomic Nuclei 75, no. 14 (December 2012): 1661–68. http://dx.doi.org/10.1134/s1063778812140062.

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12

Ma’u, S., and C. Woodward. "Geometric realizations of the multiplihedra." Compositio Mathematica 146, no. 4 (May 12, 2010): 1002–28. http://dx.doi.org/10.1112/s0010437x0900462x.

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AbstractWe realize the multiplihedron geometrically as the moduli space of stable quilted disks. This generalizes the geometric realization of the associahedron as the moduli space of stable disks. We show that this moduli space is the non-negative real part of a complex moduli space of stable scaled marked curves.

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13

Cheng, Ken. "Whither geometry? Troubles of the geometric module." Trends in Cognitive Sciences 12, no. 9 (September 2008): 355–61. http://dx.doi.org/10.1016/j.tics.2008.06.004.

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14

Синицын, Сергей, Sergey Sinitsyn, Д. Стребков, D. Strebkov, Владимир Панченко, and Vladimir Panchenko. "Parquetting the Surface of a Parabolic Concentrator of a Solar Photovoltaic Thermal Module According to Given Differential- Geometric Requirements." Geometry & Graphics 7, no. 3 (December 2, 2019): 15–27. http://dx.doi.org/10.12737/article_5dce6084f1ac94.09740392.

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The article discusses the geometric aspects of the design and creation of parabolic-type solar radiation concentrators. Practical methods of geometric design and manufacturing of concentrators of this kind are presented. Parabolic type concentrator is the main part of the solar photovoltaic thermal installation. Its effectiveness depends on the quality factors of the geometric shaping of the working surface, composed of a set of parquet components, linked to each other on the basis of differential geometric requirements. The distribution of illumination in the focal spot of such a concentrator, made by parquet based on the constructive connection of individual elements, makes it possible to obtain acceptable results. However, there is considerable potential for improving performance by providing a smoother and more uniform illumination of the photodetector. To ensure the specified accuracy and smoothness of the rim of the surface at the stages of designing and manufacturing the device, two methods are proposed: orthogonal and fan-shaped geometric parquetting of the surface of a parabolic concentrator with the ability to pre-set the required shape accuracy for given rim geometrical characteristics. Parquetting with given differential requirements for the surface, in turn, provides for two methods for calculating parquet elements: first, by the minimum number of curvilinear elements followed by stitching, taking into account the differential conditions; the second is based on the maximum number of flat elements, the multiplicity of which provides acceptable smooth surface properties. In this paper, we consider the first method for cases of orthogonal and fan parquet. On the example of a parabolic concentrator, the implementation of the considered method is presented, which provides for the possibility of controlling the geometric smoothness of the concentrator surface in order to ensure optimal distribution of concentrated solar radiation in the focal region. The output characteristics of photovoltaic and thermal converters of solar energy, which are in the focus of such a concentrator, become optimal, and the installation itself will operate in nominal mode.

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15

Pridham, J. P. "Derived moduli of schemes and sheaves." Journal of K-Theory 10, no. 1 (December 8, 2011): 41–85. http://dx.doi.org/10.1017/is011011012jkt175.

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AbstractWe describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks. Examples of problems represented by derived geometric 1-stacks are derived moduli of polarised projective varieties, derived moduli of vector bundles, and derived moduli of abelian varieties.

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16

Covert, David, Alex Iosevich, and Jonathan Pakianathan. "Geometric configurations in the ring of integers modulo p^{ell}." Indiana University Mathematics Journal 61, no. 5 (2012): 1949–69. http://dx.doi.org/10.1512/iumj.2012.61.4751.

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17

LEVKIN, Dmytro, and Oksana ZHERNOVNYKOVA. "MATHEMATICAL MODELS’ DEVELOPMENT OF APPLIED TASKS OF GEOMETRIC DESIGN OF TECHNICAL SYSTEMS." Herald of Khmelnytskyi National University. Technical sciences 311, no. 4 (August 2022): 133–36. http://dx.doi.org/10.31891/2307-5732-2022-311-4-133-136.

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This article examines the issues of developing mathematical models for optimizing the parameters of the thermal action on the technical systems. The authors set the task of determining the optimal parameters of sources of temperature field disturbance in the technical system under the appropriate restrictions. Considering the technical characteristics of the means that ensure the process of thermal action on the material, and the peculiarities of the technological process, appropriate restrictions on the temperature field and its components are set. Checking the limits of the temperature field requires multiple calculations, which reduce thermal damage to parts of the material. To automate the objective function, it is possible to use grid processors, which, due to the use of specialized functional blocks, solve a huge number of boundary problems with computers almost instantly. Because to the selection of solutions of boundary value problems, this will allow to find optimal values of technical parameters, and therefore to increase the accuracy of the simulated process. The research of this article refers to the section on mathematical modeling and optimization of systems with distributed parameters. For mathematical modeling of these systems, boundary value problems of differential equations with partial derivatives are used. The authors present applied optimization mathematical models for controlling the distribution of the temperature field and thermal stresses in the material, minimizing its damaged parts. The last them is based on the differential criterion for evaluating the temperature of irradiation and can be used to optimize many technical, biotechnological and economic systems. A detailed analysis of the specific features of applied optimization mathematical models will allow to increase the accuracy of the development of numerical methods and hardware and software tools for calculating and optimizing the parameters of simulated systems.

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18

Caloca Osorio, Oscar, and Luis Moisés Yáñez López. "Individual and Strategy: a Geometric-Mathematical Model of Negotiation." Gestión y Estrategia 47 (January 1, 2015): 37–48. http://dx.doi.org/10.24275/uam/azc/dcsh/gye/2015n47/caloca.

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19

Kruglikov, Boris. "Poincaré Function for Moduli of Differential-Geometric Structures." Moscow Mathematical Journal 19, no. 4 (November 7, 2019): 761–88. http://dx.doi.org/10.17323/1609-4514-2019-19-4-761-788.

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20

HU, YI. "RELATIVE GEOMETRIC INVARIANT THEORY AND UNIVERSAL MODULI SPACES." International Journal of Mathematics 07, no. 02 (April 1996): 151–81. http://dx.doi.org/10.1142/s0129167x96000098.

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We expose in detail the principle that the relative geometric invariant theory of equivariant morphisms is related to the GIT for linearizations near the boundary of the G-effective ample cone. We then apply this principle to construct and reconstruct various universal moduli spaces. In particular, we constructed the universal moduli space over [Formula: see text] of Simpson’s p-semistable coherent sheaves and a canonical rational morphism from the universal Hilbert scheme over [Formula: see text] to a compactified universal Picard.

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21

Braunling, Oliver. "Geometric two-dimensional idèles with cycle module coefficients." Mathematische Nachrichten 287, no. 17-18 (May 2, 2014): 1954–71. http://dx.doi.org/10.1002/mana.201300230.

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22

Beil, Charlie. "Nonnoetherian geometry." Journal of Algebra and Its Applications 15, no. 09 (August 22, 2016): 1650176. http://dx.doi.org/10.1142/s0219498816501760.

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We introduce a theory of geometry for nonnoetherian commutative algebras with finite Krull dimension. In particular, we establish new notions of normalization and height: depiction (a special noetherian overring) and geometric codimension. The resulting geometries are algebraic varieties with positive-dimensional points, and are thus inherently nonlocal. These notions also give rise to new equivalent characterizations of noetherianity that are primarily geometric. We then consider an application to quiver algebras whose simple modules of maximal dimension are one dimensional at each vertex. We show that the vertex corner rings of [Formula: see text] are all isomorphic if and only if [Formula: see text] is noetherian, if and only if the center [Formula: see text] of [Formula: see text] is noetherian, if and only if [Formula: see text] is a finitely generated [Formula: see text]-module. Furthermore, we show that [Formula: see text] is depicted by a commutative algebra generated by the cycles in its quiver. We conclude with an example of a quiver algebra where projective dimension and geometric codimension, rather than height, coincide.

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23

Bhatt, Bhargav, Wei Ho, Zsolt Patakfalvi, and Christian Schnell. "Moduli of products of stable varieties." Compositio Mathematica 149, no. 12 (September 6, 2013): 2036–70. http://dx.doi.org/10.1112/s0010437x13007288.

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AbstractWe study the moduli space of a product of stable varieties over the field of complex numbers, as defined via the minimal model program. Our main results are: (a) taking products gives a well-defined morphism from the product of moduli spaces of stable varieties to the moduli space of a product of stable varieties; (b) this map is always finite étale; and (c) this map very often is an isomorphism. Our results generalize and complete the work of Van Opstall in dimension$1$. The local results rely on a study of the cotangent complex using some derived algebro-geometric methods, while the global ones use some differential-geometric input.

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24

CECOTTI, S., S. FERRARA, and L. GIRARDELLO. "GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES." International Journal of Modern Physics A 04, no. 10 (June 1989): 2475–529. http://dx.doi.org/10.1142/s0217751x89000972.

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We study general properties of the low-energy effective theory for 4D type II superstrings obtained by the compactification on an abstract (2,2) superconformal system. This is the basic step towards the construction of their moduli space. We give an explicit and general algorithm to convert the effective Lagrangian for the type IIA into that of type IIB superstring defined by the same (2,2) superconformal system (and vice versa). This map converts Kahler manifolds into quaternionic ones (and quaternionic into Kahlerian ones) and has a deep geometrical meaning. The relationship with the theory of normal quaternionic manifolds (and algebras), as well as with Jordan algebras, is outlined. It turns out that only a restricted class of quarternionic geometries is allowed in the string case. We derive a general and explicit formula for the (fully nonlinear) couplings of the vector-multiplets (IIA case) in terms of the basic three-point functions of the underlying superconformal theory. A number of illustrative examples is also presented.

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25

Miądlicki, Karol, Marcin Jasiewicz, Marcin Gołaszewski, Marcin Królikowski, and Bartosz Powałka. "Remanufacturing System with Chatter Suppression for CNC Turning." Sensors 20, no. 18 (September 7, 2020): 5070. http://dx.doi.org/10.3390/s20185070.

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The paper presents the concept of a support system for the manufacture of machine spare parts. The operation of the system is based on a reverse engineering module enabling feature recognition based on a 3D parts scan. Then, a CAD geometrical model is generated, on the basis of which a machining strategy using the CAM system is developed. In parallel, based on the geometric model, a finite element model is built, which facilitates defining technological parameters, allowing one to minimize the risk of vibrations during machining. These parameters constitute input information to the CAM module. The operation of the described system is presented on the example of machining parts of the shaft class. The result is a replacement part, the accuracy of which was compared by means of the iterative closest point algorithm obtaining the RMSE at the level of scanner accuracy.

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26

Dey, Rukmini. "Geometric quantization of the Hitchin system." International Journal of Geometric Methods in Modern Physics 14, no. 04 (March 8, 2017): 1750064. http://dx.doi.org/10.1142/s0219887817500645.

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This paper is about geometric quantization of the Hitchin system. We quantize a Kahler form on the Hitchin moduli space (which is half the first Kahler form defined by Hitchin) by considering the Quillen bundle as the prequantum line bundle and modifying the Quillen metric using the Higgs field so that the curvature is proportional to the Kahler form. We show that this Kahler form is integral and the Quillen bundle descends as a prequantum line bundle on the moduli space. It is holomorphic and hence one can take holomorphic square integrable sections as the Hilbert space of quantization of the Hitchin moduli space.

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27

Maluta, Elisabetta, Stanislaw Prus, and Mariusz Szczepanik. "On Milman’s moduli for Banach spaces." Abstract and Applied Analysis 6, no. 2 (2001): 115–29. http://dx.doi.org/10.1155/s1085337501000483.

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We show that infinite dimensional geometric moduli introduced by Milman are strongly related to nearly uniform convexity and nearly uniform smoothness. An application of those moduli to fixed point theory is given.

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28

Francois, N., T. Arnoux, L. Garcia, S. T. Hyde, V. Robins, M. Saadatfar, M. Saba, and T. J. Senden. "Experimental investigation of the mechanical stiffness of periodic framework-patterned elastomers." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2008 (February 13, 2014): 20120035. http://dx.doi.org/10.1098/rsta.2012.0035.

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Recent advances in the cataloguing of three-dimensional nets mean a systematic search for framework structures with specific properties is now feasible. Theoretical arguments about the elastic deformation of frameworks suggest characteristics of mechanically isotropic networks. We explore these concepts on both isotropic and anisotropic networks by manufacturing porous elastomers with three different periodic net geometries. The blocks of patterned elastomers are subjected to a range of mechanical tests to determine the dependence of elastic moduli on geometric and topological parameters. We report results from axial compression experiments, three-dimensional X-ray computed tomography imaging and image-based finite-element simulations of elastic properties of framework-patterned elastomers.

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29

Vashpanov, Yuriy, and Tatyana Podousova. "Optical Measurements of Surface Topography for Materials with Scattering Light Reflection by Images Processing using Origin Lab." International Journal of Emerging Technology and Advanced Engineering 12, no. 10 (October 1, 2022): 57–66. http://dx.doi.org/10.46338/ijetae1022_07.

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A method of non-contact optical measurements of surfaces topologies for materials with scattering light reflection using OriginLab images module processing is described. The images were captured under high lighting levels and close distances at photographing. Digital images were converted by OriginLab software into a data matrix, each element of which contains information about the level of reflected light from individual sections of the surface with different depths. Than the image data was converted into worksheet data and calculated to data with real geometric parameters. The length, width and depth of can be measured with special image OriginLab tools The processing of hyper spectral images obtained using a very narrow spectral band (through filters of Asahi Spectra Co.Ltd) with proposed optical method makes possibilities for determination geometrical parameters of damages surface biological objects. Different surfaces with scattering light reflection from 0.1 mm till 10 cm is analyzed. Keywords— scattering light reflection, image processing, optical measurement, geometric parameters.

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30

Du, Dandan, Asif Ahmad, Anwarud Din, and Yongjin Li. "Some Moduli of Angles in Banach Spaces." Mathematics 10, no. 16 (August 17, 2022): 2965. http://dx.doi.org/10.3390/math10162965.

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In this paper, we mainly discuss the angle modulus of convexity δXa(ϵ) and the angle modulus of smoothness ρXa(ϵ) in a real normed linear space X, which are closely related to the classical modulus of convexity δX(ϵ) and the modulus of smoothness ρX(ϵ). Some geometric properties of the two moduli were investigated. In particular, we obtained a characterization of uniform non-squareness in terms of ρXa(1). Meanwhile, we studied the relationships between δXa(ϵ), ρXa(ϵ) and other geometric constants of real normed linear spaces through some equalities and inequalities. Moreover, these two coefficients were computed for some concrete spaces.

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31

Juliana, Rina, Masriani Masriani, I. Gede Adhitya Wisnu Wardhana, Ni Wayan Switrayni, and Irwansyah Irwansyah. "COPRIME GRAPH OF INTEGERS MODULO n GROUP AND ITS SUBGROUPS." Journal of Fundamental Mathematics and Applications (JFMA) 3, no. 1 (June 10, 2020): 15–18. http://dx.doi.org/10.14710/jfma.v3i1.7412.

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Coprime Graph is a geometric representation of a group in the form of undirectedgraph. The coprime graph of a group G, denoted by $\Gamma_G$ is a graph whose vertices are all elements of group G; and two distinct vertices a and b are adjacent if and only if $(|a|,|b|)=1$. In this paper, we study coprime graph of integers modulo n group and its subgroups. One of the results is if n is a prime number, then coprime graph of integers modulo n group is a bipartite graph.

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32

GOTO, RYUSHI. "MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G2 and SPIN(7) STRUCTURES." International Journal of Mathematics 15, no. 03 (May 2004): 211–57. http://dx.doi.org/10.1142/s0129167x04002296.

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This paper focuses on a geometric structure defined by a system of closed exterior differential forms and develops a new approach to deformation problems of geometric structures. We obtain a criterion for unobstructed deformations from a cohomological point of view (Theorem 1.7). Further we show that under a cohomological condition, the moduli space of the geometric structures becomes a smooth manifold of finite dimension (Theorem 1.8). We apply our approach to the geometric structures such as Calabi–Yau, HyperKähler, G2 and Spin(7) structures and then obtain a unified construction of smooth moduli spaces of these four geometric structures. We generalize the Moser's stability theorem to provide a direct proof of the local Torelli type theorem in these four geometric structures (Theorem 1.10).

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33

Lehmann, Brian, and Sho Tanimoto. "Geometric Manin’s conjecture and rational curves." Compositio Mathematica 155, no. 5 (April 10, 2019): 833–62. http://dx.doi.org/10.1112/s0010437x19007103.

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Let$X$be a smooth projective Fano variety over the complex numbers. We study the moduli space of rational curves on$X$using the perspective of Manin’s conjecture. In particular, we bound the dimension and number of components of spaces of rational curves on$X$. We propose a geometric Manin’s conjecture predicting the growth rate of a counting function associated to the irreducible components of these moduli spaces.

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34

Mariyati, Yuni, and Intan Dwi Hastuti. "PENGEMBANGAN E-MODUL GEOMETRI BERBASIS BUDAYA SASAK SEBAGAI SUMBER BELAJAR DARING SISWA SEKOLAH DASAR." Paedagoria : Jurnal Kajian, Penelitian dan Pengembangan Kependidikan 13, no. 2 (September 4, 2022): 175. http://dx.doi.org/10.31764/paedagoria.v13i2.9707.

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Abstrak: Tujuan penelitian secara umum adalah untuk mendapatkan e-modul Geometri Berbasis Budaya Sasak. Sedangkan tujuan khususnya untuk mengetahui Bagaimana kevalidan media tersebut digunakan sebagai Sumber Belajar Daring Siswa SD. Desain penelitian ini menggunakan Borg and Gall. Adapun bentuk data yang digunakan merupakan bentuk data kuantitatif yang dilakukan dengan lembar angket validasi. Hasil penelitian menunjukan bahwa: (1) e-modul yang dibuat berupa link berbentuk online mencangkup materi geometri khusus bangun datar persegi, persegi panjang dan segitiga dengan mengeksplorasi unsur geometri pada bangunan adat di desa sade Lombok Tengah (2) e-modul berbasis budaya sasak yang dikembangkan memperoleh data kevalidan dari validator ahli media dan materi, serta praktisi, dengan rata-rata nlai 94%, sehingga dapat disimpulkan bahwa e-modul geometri berbasis budaya sasak yang telah didikembangkan sudah valid dan dapat digunakan siswa sebagai sumber belajar daring.Abstract:The general objective of the research is to obtain an e-module on Geometry Based on Sasak Culture. While the specific purpose is to find out how the validity of the media is used as an online learning resource for elementary school students. This research design uses Borg and Gall. The form of data used is a form of quantitative data which is carried out with a validation questionnaire sheet. The results of the study show that: (1) the e-module made in the form of an online link includes special geometry material for square, rectangular and triangular shapes by exploring the elements of geometric in traditional buildings in the village of Sade, Central Lombok (2) e-modules based on Sasak culture The developed data obtained validity data from media and materials expert validators, as well as practitioners, with an average value of 94%, so it can be concluded that the Sasak culture-based geometry e-module that has been developed is valid and can be used by students as online learning resources.

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35

Zhai, Yongjie, Zhedong Hu, Qianming Wang, Qiang Yang, and Ke Yang. "Multi-Geometric Reasoning Network for Insulator Defect Detection of Electric Transmission Lines." Sensors 22, no. 16 (August 15, 2022): 6102. http://dx.doi.org/10.3390/s22166102.

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To address the challenges in the unmanned system-based intelligent inspection of electric transmission line insulators, this paper proposed a multi-geometric reasoning network (MGRN) to accurately detect insulator geometric defects based on aerial images with complex backgrounds and different scales. The spatial geometric reasoning sub-module (SGR) was developed to represent the spatial location relationship of defects. The appearance geometric reasoning sub-module (AGR) and the parallel feature transformation (PFT) sub-module were adopted to obtain the appearance geometric features from the real samples. These multi-geometric features can be fused with the original visual features to identify and locate the insulator defects. The proposed solution is assessed through experiments against the existing solutions and the numerical results indicate that it can significantly improve the detection accuracy of multiple insulator defects using the aerial images.

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Andersen, J�rgen Ellegaard. "Deformation Quantization and Geometric Quantization of Abelian Moduli Spaces." Communications in Mathematical Physics 255, no. 3 (February 4, 2005): 727–45. http://dx.doi.org/10.1007/s00220-004-1244-y.

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Twyman, Alexandra, Alinda Friedman, and Marcia L. Spetch. "Penetrating the geometric module: Catalyzing children's use of landmarks." Developmental Psychology 43, no. 6 (November 2007): 1523–30. http://dx.doi.org/10.1037/0012-1649.43.6.1523.

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38

de Bartolomeis, Paolo. "Geometric structures on moduli spaces of special lagrangian submanifolds." Annali di Matematica Pura ed Applicata 179, no. 1 (December 2001): 361–82. http://dx.doi.org/10.1007/bf02505963.

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39

Cheng, Ken. "A purely geometric module in the rat's spatial representation." Cognition 23, no. 2 (July 1986): 149–78. http://dx.doi.org/10.1016/0010-0277(86)90041-7.

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Liu, Kefeng, Xiaofeng Sun, and Shing-Tung Yau. "Geometric aspects of the moduli space of riemann surfaces." Science in China Series A: Mathematics 48, S1 (December 2005): 97–122. http://dx.doi.org/10.1007/bf02884699.

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41

WAŁĘGA, PRZEMYSŁAW ANDRZEJ, CARL SCHULTZ, and MEHUL BHATT. "Non-monotonic spatial reasoning with answer set programming modulo theories." Theory and Practice of Logic Programming 17, no. 2 (August 30, 2016): 205–25. http://dx.doi.org/10.1017/s1471068416000193.

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AbstractThe systematic modelling ofdynamic spatial systemsis a key requirement in a wide range of application areas such as commonsense cognitive robotics, computer-aided architecture design, and dynamic geographic information systems. We present Answer Set Programming Modulo Theories (ASPMT)(QS), a novel approach and fully implemented prototype for non-monotonic spatial reasoning — a crucial requirement within dynamic spatial systems — based on ASPMT. ASPMT(QS) consists of a (qualitative) spatial representation module (QS) and a method for turning tight ASPMT instances into Satisfiability Modulo Theories (SMT) instances in order to compute stable models by means of SMT solvers. We formalise and implement concepts of default spatial reasoning and spatial frame axioms. Spatial reasoning is performed by encoding spatial relations as systems of polynomial constraints, and solving via SMT with the theory of real non-linear arithmetic. We empirically evaluate ASPMT(QS) in comparison with other contemporary spatial reasoning systems both within and outside the context of logic programming. ASPMT(QS) is currently the only existing system that is capable of reasoning about indirect spatial effects (i.e., addressing the ramification problem), and integrating geometric and QS information within a non-monotonic spatial reasoning context.

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Majid, S., and E. Raineri. "Moduli of quantum Riemannian geometries on ⩽4 points." Journal of Mathematical Physics 45, no. 12 (December 2004): 4596–627. http://dx.doi.org/10.1063/1.1804231.

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Zhang, Li Ping, Gui Bing Pang, Mao Jun Zhou, and Zhi Yuan Jin. "Reconfigurable Spatial Sub-Chain Evolution." Applied Mechanics and Materials 389 (August 2013): 876–80. http://dx.doi.org/10.4028/www.scientific.net/amm.389.876.

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This paper investigates the built-in spatial modules extended with reconfigurable character based on reconfiguration modules in the form of spatial kinematic pairs and associated links. Known that reconfiguration modules are to be served to develop reconfiguration leading to novel structure expansion, the key issue is to assemble reconfiguration modules and to derive a reconfiguration mechanism as a self-reconfigurable set. The module exerts its reconfiguration through changing the number of mobility or type of its built-in kinematic pair and changing its combined components. Its reconfiguration characteristics come from its decomposition, transformation, degeneration and combination. It is clear that reconfiguration module extension serves as an effective category to set up the relationship and transformation categories between these reconfiguration modules. More often, there exists multiple module group solutions for a higher dimensional module and this is the key for topology reconfiguration and variation. Spatial reconfiguration process uses reconfiguration principles which is consistent with displacement group operations. The essence of reconfiguration is the reconfiguration mechanism characteristic which convert a mechanism from fixed topology to variable topology analogous to evolutionary variation. In fact, these can be the effective and available constraint information as geometrical ways to reach the special configuration states and then produce reconfigurations with special geometric and parametric dimension design.

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BANKS, TOM. "HOLOGRAPHIC SPACETIME." International Journal of Modern Physics D 21, no. 11 (October 2012): 1241004. http://dx.doi.org/10.1142/s0218271812410040.

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The theory of holographic spacetime (HST) generalizes both string theory and quantum field theory (QFT). It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare invariance. HST unifies particles and black holes, realizing both as excitations of noncommutative geometrical variables on a holographic screen. Compact extra dimensions are interpreted as finite-dimensional unitary representations of super-algebras, and have no moduli. Full field theoretic Fock spaces, and continuous moduli are both emergent phenomena of super-Poincare invariant limits in which the number of holographic degrees of freedom goes to infinity. Finite radius de Sitter (dS) spaces have no moduli, and break SUSY with a gravitino mass scaling like Λ1/4. In regimes where the Covariant Entropy Bound is saturated, QFT is not a good description in HST, and inflation is such a regime. Following ideas of Jacobson, the gravitational and inflaton fields are emergent classical variables, describing the geometry of an underlying HST model, rather than "fields associated with a microscopic string theory". The phrase in quotes is meaningless in the HST formalism, except in asymptotically flat and AdS spacetimes, and some relatives of these.

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45

Rossi, Michele. "Deforming geometric transitions." International Journal of Geometric Methods in Modern Physics 12, no. 05 (May 2015): 1550059. http://dx.doi.org/10.1142/s0219887815500590.

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After a quick review of the wild structure of the complex moduli space of Calabi-Yau 3-folds and the role of geometric transitions in this context (the Calabi-Yau web) the concept of deformation equivalence for geometric transitions is introduced to understand the arrows of the Gross–Reid Calabi-Yau web as deformation-equivalence classes of geometric transitions. Then the focus will be on some results and suitable examples to understand under which conditions it is possible to get simple geometric transitions, which are almost the only well-understood geometric transitions both in mathematics and in physics.

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46

Bakushev, S. V. "DIFFERENTIAL EQUATIONS OF CONTINUUM EQUILIBRIUM FOR A PLANE STRAIN IN CYLINDRICAL COORDINATES AT BILINEAR APPROXIMATION OF CLOSING EQUATIONS." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 69 (2021): 69–85. http://dx.doi.org/10.17223/19988621/69/6.

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Problems of the formulation of differential equations of equilibrium in terms of displacements for a plane strain of continuous media at bilinear approximation of closing equations are considered leaving out of account geometric nonlinearity in the cylindrical coordinate system. Based on the assumption that the curves of volumetric and shear strain are independent from each other, six main cases of physical dependencies are considered, which are the functions of the relative position of break points on the bilinear curves of the volumetric and shear strain. Obtaining of bilinear physical dependencies is based on the calculation of secant moduli of the volumetric and shear strain. On the first line of the curves, secant moduli are constant for both volumetric and shear strain, while on the second line, the secant modulus of the volumetric strain is a function of the volumetric strain, and the secant modulus of the shear strain is a function of the shear strain intensity. Putting the corresponding bilinear physical equations into differential equations of continuum equilibrium, which disregard geometrical nonlinearity, the resulting differential equations of equilibrium are obtained in terms of displacements for a one-dimensional plane strain of continuum in the cylindrical coordinate system. These equations can be used when determining stress-strain state of continuous media under one-dimensional plane strains with no regard for geometrical nonlinearity, and whose physical relations are approximated by bilinear functions.

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47

de la Escalera, Arturo, and Jose Maria Armingol. "Vehicle detection and tracking for visual understanding of road environments." Robotica 28, no. 6 (December 10, 2009): 847–60. http://dx.doi.org/10.1017/s0263574709990695.

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SUMMARYMany of the advanced driver assistance systems have the goal of perceiving the surroundings of a vehicle. One of them, adaptive cruise control, takes charge of searching for other vehicles in order to detect and track them with the aim of maintaining a safe distance and to avoid dangerous maneuvers. In the research described in this article, this task is accomplished using an on board camera. Depending on when the vehicles are detected the system analyzes movement or uses a vehicle geometrical model to perceive them. After, the detected vehicle is tracked and its behavior established. Optical flow is used for movement while the geometric model is associated with a likelihood function that includes information of the shape and symmetry of the vehicle and the shadow it casts. A genetic algorithm finds the optimum parameter values of this function for every image. As the algorithm receives information from a road detection module some geometric restrictions are applied. Additionally, a multiresolution approach is used to speed up the algorithm. Examples of real image sequences under different weather conditions are shown to validate the algorithm.

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Chen, Tsao-Hsien, and Xinwen Zhu. "Geometric Langlands in prime characteristic." Compositio Mathematica 153, no. 2 (February 2017): 395–452. http://dx.doi.org/10.1112/s0010437x16008113.

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Let $G$ be a semi-simple algebraic group over an algebraically closed field $k$, whose characteristic is positive and does not divide the order of the Weyl group of $G$, and let $\breve{G}$ be its Langlands dual group over $k$. Let $C$ be a smooth projective curve over $k$ of genus at least two. Denote by $\operatorname{Bun}_{G}$ the moduli stack of $G$-bundles on $C$ and $\operatorname{LocSys}_{\breve{G}}$ the moduli stack of $\breve{G}$-local systems on $C$. Let $D_{\operatorname{Bun}_{G}}$ be the sheaf of crystalline differential operators on $\operatorname{Bun}_{G}$. In this paper we construct an equivalence between the bounded derived category $D^{b}(\operatorname{QCoh}(\operatorname{LocSys}_{\breve{G}}^{0}))$ of quasi-coherent sheaves on some open subset $\operatorname{LocSys}_{\breve{G}}^{0}\subset \operatorname{LocSys}_{\breve{G}}$ and bounded derived category $D^{b}(D_{\operatorname{Bun}_{G}}^{0}\text{-}\text{mod})$ of modules over some localization $D_{\operatorname{Bun}_{G}}^{0}$ of $D_{\operatorname{Bun}_{G}}$. This generalizes the work of Bezrukavnikov and Braverman in the $\operatorname{GL}_{n}$ case.

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DONG, Qing, Bo YANG, Jing LI, and Shigetoshi NAKATAKE. "Incremental Buffer Insertion and Module Resizing Algorithm Using Geometric Programming." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E92-A, no. 12 (2009): 3103–10. http://dx.doi.org/10.1587/transfun.e92.a.3103.

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50

Twyman, Alexandra D., and Nora S. Newcombe. "Five Reasons to Doubt the Existence of a Geometric Module." Cognitive Science 34, no. 7 (September 2010): 1315–56. http://dx.doi.org/10.1111/j.1551-6709.2009.01081.x.

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