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Relevant bibliographies by topics / Analytical geometry

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Academic literature on the topic 'Analytical geometry'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 January 2023

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Journal articles on the topic "Analytical geometry"

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Chambers, Ll G., Howard Anton, and Albert Harr. "Calculus with Analytical Geometry." Mathematical Gazette 81, no. 490 (March 1997): 171. http://dx.doi.org/10.2307/3618820.

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Lord, Nick, and Howard Anton. "Calculus with Analytical Geometry." Mathematical Gazette 78, no. 481 (March 1994): 85. http://dx.doi.org/10.2307/3619461.

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Stepanov, M. E., and S. N. Voronina. "Tactile Models in Analytical Geometry." Моделирование и анализ данных 12, no. 2 (2022): 83–102. http://dx.doi.org/10.17759/mda.2022120204.

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The article discusses some of the problems that arise when working with students with visual defects. In particular, the authors discuss ways to improve the culture of mathematical thinking of students with visual defects. The authors rely on the experience of working at the Faculty of Information Technologies of Moscow State University of Psychology & Education.

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Ghosh, Debdas, and Debjani Chakraborty. "Analytical fuzzy plane geometry I." Fuzzy Sets and Systems 209 (December 2012): 66–83. http://dx.doi.org/10.1016/j.fss.2012.02.011.

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Chakraborty, Debjani, and Debdas Ghosh. "Analytical fuzzy plane geometry II." Fuzzy Sets and Systems 243 (May 2014): 84–109. http://dx.doi.org/10.1016/j.fss.2013.06.016.

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Ghosh, Debdas, and Debjani Chakraborty. "Analytical fuzzy plane geometry III." Fuzzy Sets and Systems 283 (January 2016): 83–107. http://dx.doi.org/10.1016/j.fss.2014.10.018.

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Pamungkas, Dasilvawati, and Eyus Sudihartinih. "ANALISIS KEBUTUHAN MAHASISWA CALON GURU MATEMATIKA TERHADAP APLIKASI GEOGEBRA PADA PEMBELAJARAN GEOMETRI ANALITIK." Jurnal Pendidikan Matematika Universitas Lampung 9, no. 2 (June 30, 2021): 223–32. http://dx.doi.org/10.23960/mtk/v9i2.pp223-232.

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The purpose of this study was to analyze the needs of the GeoGebra application in mathematics learning, especially the learning of analytic geometry for prospective mathematics teacher students. This research is descriptive quantitative research with a survey method. Participants in this study were prospective teacher students who had taken a course in analytic geometry at a university in Bandung, Indonesia. The sample of this research is student-teacher candidates in the sixth, fourth and second semesters. The total sample was 72 students with 20 males and 52 females. The data collection instruments used questionnaires and interviews. Based on the results of the study, it is known that when learning analytical geometry, most students have difficulty visualizing geometric shapes so that students feel they need GeoGebra as a learning medium in lectures on analytic geometry.

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Xu, Jingyan, and Benjamin M. W. Tsui. "An Analytical Geometric Calibration Method for Circular Cone-Beam Geometry." IEEE Transactions on Medical Imaging 32, no. 9 (September 2013): 1731–44. http://dx.doi.org/10.1109/tmi.2013.2266638.

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Todd, Philip. "A Symbolic Dynamic Geometry System Using the Analytical Geometry Method." Mathematics in Computer Science 14, no. 4 (June 25, 2020): 693–726. http://dx.doi.org/10.1007/s11786-020-00490-0.

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Liu, Qipeng, Kun Yang, Yuehua Gao, Fencheng Liu, Chunping Huang, and Liming Ke. "Analytical Study of Powder Stream Geometry in Laser-Based Direct Energy Deposition Process with a Continuous Coaxial Nozzle." Crystals 11, no. 11 (October 27, 2021): 1306. http://dx.doi.org/10.3390/cryst11111306.

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In the process of laser-based direct energy deposition, the particle concentration distribution and geometric characteristics of powder flow play an important role in laser–powder interaction and powder utilization, and they affect the forming quality and accuracy. In the current study, based on the geometry information of a powder nozzle and the divergence angles of a powder jet at the nozzle outlet, the geometric profile of a powder stream is analyzed. A set of formulas for calculating the geometric characteristics of the powder stream is derived based on an analytic geometry method. The influence of each parameter on the geometric characteristics of the powder stream is further studied using single-factor and sensitivity analyses. Validation is performed by comparing the results from the presented analytical expressions with those from experiments and/or simulations in published papers. The analytical formulas provided in this paper are simple and practical, providing a theoretical foundation for the control of powder flow and related processes in the forming process.

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Dissertations / Theses on the topic "Analytical geometry"

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Gomez, Estrada Giovani. "Analytical and numerical investigations of form-finding methods for tensegrity structures." [S.l. : s.n.], 2007. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-32405.

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Chen, Geng. "Analytical and experimental studies of critical heat flux in complex geometry." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/NQ66137.pdf.

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Oliveira, Júnior José William de. "Três pontos de vista sobre cônicas." Mestrado Profissional em Matemática, 2018. http://ri.ufs.br/jspui/handle/riufs/9321.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
In the present work, we tried to investigate the conics in the synthetic, analytical and projective contexts, as well as to know some applications and properties of these curves. In the synthetic approach, it was emphasized a lithe of the historical aspects, the works made by Apollonius and Dandelin, a characterization for tangent and normal lines and re ecting properties. In the analytical approach, the Cartesian, polar and parametric equations were described, as well as the applications in the Kepler Laws. In the projective approach, the concepts of projective plane, projective point, projective line and projective applications were used to give meaning to the conic in the projective universe, in addition the Theorews of Pascal and Brianchon were demonstrated.
No presente trabalho, procurou-se investigar as cônicas nos contextos sintético, analítico e projetivo, bem como conhecer algumas aplicações e propriedades dessas curvas. Na abordagem sintética, foram enfatizados um pouco do aspecto histórico, os trabalhos feitos por Apolônio e Dandelin, uma caracterização para retas tangentes e normais e as propriedades refletoras. Na abordagem analítica, foram descritas as equações cartesianas, polares e paramétricas, como também as aplicações nas Leis de Kepler. Na abordagem projetiva, foram trabalhados os conceitos de plano projetivo, ponto projetivo, reta projetiva e aplicações projetivas para dar significado as cônicas no universo projetivo, além disso foram demonstrados os teoremas de Pascal e Brianchon.
São Cristóvão, SE

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Coutinho, Neto Nelson Rangel. "A Hist?ria da geometria descritiva e uma proposta de atividades para o ensino m?dio." Universidade Federal Rural do Rio de Janeiro, 2014. https://tede.ufrrj.br/jspui/handle/jspui/2023.

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Submitted by Celso Magalhaes (celsomagalhaes@ufrrj.br) on 2017-09-11T11:55:12Z No. of bitstreams: 1 2014 - Nelson Rangel Coutinho Neto.pdf: 1017081 bytes, checksum: 48847c819281a97d7502570c6852b27b (MD5)
Made available in DSpace on 2017-09-11T11:55:12Z (GMT). No. of bitstreams: 1 2014 - Nelson Rangel Coutinho Neto.pdf: 1017081 bytes, checksum: 48847c819281a97d7502570c6852b27b (MD5) Previous issue date: 2014-08-30
Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior - CAPES
The Descriptive Geometry had its origin during the Napoleonic Age through the mathematician Gaspard Monge. It arrived in Brazil in the early nineteenth century by imposition of D. Jo?o VI. It excelled mainly as part of the curriculum of higher education courses such as Engineering, Architecture and Arts discipline. In high school, teaching Descriptive Geometry is almost extinct, being restricted to only a few more traditional institutions. However, Descriptive Geometry is closely related to the Space Geometry, Analytical Geometry and Differential and Integral Calculus, so that its application in middle school will be of fundamental contribution to the learning of other geometric concepts
A Geometria Descritiva teve sua origem durante a Era Napole?nica atrav?s do matem?tico Gaspard Monge. Chegou ao Brasil no in?cio do s?culo XIX por imposi??o de D. Jo?o VI. Destacou-se basicamente como disciplina integrante de curr?culos de cursos superiores, tais como Engenharia, Arquitetura e Artes. No ensino m?dio, o ensino da Geometria Descritiva est? praticamente extinto, ficando restrito apenas a algumas institui??es mais tradicionais. Entretanto, a Geometria Descritiva se relaciona intimamente com a Geometria Espacial, a Geometria Anal?tica e os C?lculos Diferencial e Integral, de maneira que sua aplica??o no ensino m?dio poder? contribuir para o aprendizado de outros conceitos geom?tricos

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Chen, Tzu-Fang. "Analytical and experimental studies for space boundary and geometry inverse heat conduction problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ39790.pdf.

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Rocheleau, Joshua. "An Analytical Nodal Discrete Ordinates Solution to the Transport Equation in Cartesian Geometry." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1587112226198162.

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Rodrigues, José Maria 1956. "Geometria analítica com enfoque vetorial no ensino médio." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306436.

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Orientador: Roberto Andreani
Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Resumo: A Geometria Analítica é ministrada de diferentes modos nas escolas do Brasil, resultado de inúmeras reformas nos programas estaduais de ensino. Em alguns lugares a apresentação da Geometria Analítica se faz com tratamento vetorial, o que não ocorre em outras localidades. Nessas localidades, os vetores ficaram restritos ao universo da Física. Nossa proposta, apesar de não ter o mérito da inovação, se alinha ao desejo de inúmeros profissionais da matemática, considera a possibilidade de repatriar os vetores para o domínio da matemática no Ensino Médio
Abstract: The Analytical Geometry is taught in differents ways in Brazilian Schools, as a result of numerous reforms of state educational programs. In some places the presentation of the Analytical Geometry is done by a vectorial treatment, whereas in other this does not occur. In these places, the vectors are restricted to the universe of Physics. Our proposal, despite having no innovation merit, is aligned to the whishes of numerous professionals of mathematics, considering the possibility to repatriate the vectors to the mathematics domain in High School
Mestrado
Matemática em Rede Nacional
Mestre

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Novaes, André Luís 1981. "Geometria analítica e vetores : uma proposta para melhoria do ensino da geometria espacial." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306435.

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Orientador: Roberto Andreani
Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Resumo: Esta dissertação tem por objetivo introduzir as definições e os conceitos básicos sobre vetores no R2 e no R3 no ensino básico, junto com as propriedades e operações e através deste conhecimento mostrar, com vários exemplos e aplicações, como isto simplifica e facilita o entendimento das atividades propostas nesta parte da educação matemática. Além disso estudar de forma conjunta a álgebra e a geometria, partindo de um lugar geométrico e então encontrando sua equação ou partindo de uma equação e então encontrando o lugar geométrico, esses que são os dois aspectos recíprocos do princípio fundamental da geometria analítica estudada em grande escala por Descartes e Fermat, dois dos grandes matemáticos que deram uma grande e significativa contribuição à matemática
Abstract: The objective of this thesis is to introduce the definitions and basic concepts about vectors on R² and R³ in basic education with proprieties, operations and beyond this knowledge explain with many examples and applications how this thesis simplifies the understanding of this activity which was proposed in this part of mathematics teaching and further to study jointly algebra and geometric starting from a geometric point and to finding your equation and then finding your geometric place. This two aspects are reciprocal from the fundamental principle of analytic geometry studied on a large scale by Descartes and Fermat, two of the biggest mathematicians
Mestrado
Matemática em Rede Nacional
Mestre

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Oudich, Hamza. "Analytical Investigation of Planetary Gears Instabilities and the Impact of Micro-Macro Geometry Modifications." Thesis, KTH, Farkostteknik och Solidmekanik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-276775.

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Due to their large torque-speed ratio and transmission efficiency, planetary gears are widely used in the automotive industry. However, high amplitude vibrations remain their critical weakness, which limits their usage especially when new strict noise legislations come into action. A new approach to handle the instability problems of planetary gears encountered in real industrial context is presented in this work. First, the dynamic response of a planetary gear failing to pass the noise regulations is theoretically investigated through an analytical model. The equations of motion were solved using the Spectral Iterative Method. The observed experimental results correlated well with those from the developed model. In order to limit the resonance phenomena, impacts of different macro and micro-geometry modifications were analytically investigated: quadratic teeth profile, different planets positioning, different number of teeth and number of planets. Optimum modifications were retrieved and are expected to be tested experimentally on a test bench and on the truck. Finally, the analytical model’s limits and sensitivity to different parameters were investigated in order to certify its reliability, and suggestions for improvements were presented.

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Geiger, Filipe Paixão. "Analytical development of a mechanical model for three dimensional rods using the Spatial Beam Theory." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/151047.

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A principal característica de cabos é a sua capacidadede suportar grande carga na direção longitudinal e são utilizadas em, por exemplo, concreto comprimido, plataformas e pontes. Usualmente, sua estrutura básica é formada por um elemento central (núcleo) e reto juntamente com outros componentes dispostos ao seu redor em forma de hélice. Existe uma variedade de geometrias que podem ser utilizadas, assim como número de camadas. Seguindo a teoria de vigas espaciais e parametrizando a geometria, a linha média de apenas uma dessas hélices foi analisada analiticamente. Essa simplificação é valida visto que o contato e deslizamento não são incluídos nesta teoria, produzindo uma primeira abordagem ao problema da modelagem dessas estruturas. Sendo assim, as equações de equilíbrio foram deduzidas e seu sistema diferencial foi resolvido com o objetivo de representar o comportamento mecânico da estrutura. Utilizando a tríade de Frenet-Serret para definir um sistema de coordenadas local, as condições de contorno foram aplicadas buscando determinar as constantes de integração resultantes da solução analítica das equações diferenciais. Essa solução foi comparadas com resultados numéricos obtidos pelo Método dos Elementos Finitos (FEM) para validação dos casos de carga concentrada e distribuída em duas geometrias, o arco plano e a hélice. Em ambos os casos resultados apresentaram boa concordância para forças, momentos, rotações e deslocamentos. Considerando o caso do arco, o seu raio foi aumentado, de forma que a geometria se aproximasse de uma viga reta. O modelo proposto também foi utilizado para simular uma mola sob compressão.
A high number of structures uses cables due to their ability to bear large load in the longitudinal direction, for example, prestressed concrete, offshore systems and bridges. Its basic structure is formed by a central straight element surrounded by strands laid helically. A variety of geometries can be used, as well as the number of layers. Using the theory of spatial beams and parameterizing the geometry, the center line of only one of these helixes was analyzed analytically, since contact and slip are not included in this theory, obtaining a first approach in order to model these structures and to determine its mechanical behavior. Thus, the equilibrium equations were deduced and the differential system was solved with the objective of representing the mechanical behavior of the structure. Using the Frenet-Serret triad to define a local coordinate system, the boundary conditions were applied aiming the determination of the integration constants. The expressions obtained were compared with results obtained by the Finite Element Method (FEM) for validation applying concentrated and distributed loads. All cases presented good agreement FOR forces, moments, rotations and displacements. Considering the arc case, its radius was increased until a straight beam. The proposed model was also used to simulate a spring under compression.

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Books on the topic "Analytical geometry"

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Analytical geometry. Singapore: World Scientific, 1997.

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Calculus and analytical geometry. 4th ed. New York: McGraw-Hill, 1987.

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Alfred, Baker. Analytical geometry for beginners. Toronto: W.J. Gage, 1994.

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Libermann, Paulette. Symplectic geometry and analytical mechanics. Dordrecht: D. Reidel, 1987.

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Libermann, Paulette, and Charles-Michel Marle. Symplectic Geometry and Analytical Mechanics. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3807-6.

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E, Protter Philip, ed. Calculus with analytic geometry. 4th ed. Boston: Jones and Bartlett, 1988.

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Euclidean and non-Euclidean geometry: An analytical approach. Cambridge [Cambridgeshire]: Cambridge University Press, 1986.

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León, Manuel de. Methods of differential geometry in analytical mechanics. Amsterdam: North-Holland, 1989.

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Ghosh, Debdas, and Debjani Chakraborty. An Introduction to Analytical Fuzzy Plane Geometry. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15722-7.

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Vaisman, Izu. Analytical Geometry. WORLD SCIENTIFIC, 1997. http://dx.doi.org/10.1142/3494.

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Book chapters on the topic "Analytical geometry"

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Padberg, Manfred. "Analytical Geometry." In Linear Optimization and Extensions, 121–238. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-12273-0_7.

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Alevras, Dimitris, and Manfred W. Padberg. "Analytical Geometry." In Linear Optimization and Extensions, 125–200. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56628-8_7.

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Kwatny, Harry G., and Gilmer L. Blankenship. "Introduction to Differential Geometry." In Nonlinear Control and Analytical Mechanics, 37–89. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-2136-4_3.

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Karmakar, Sibdas, and Karmakar. "Polar Coordinates and Equations." In Analytical Geometry: Two Dimensions, 101–64. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-4.

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Karmakar, Sibdas, and Karmakar. "General Equation of Second Degree: Classification of Conics." In Analytical Geometry: Two Dimensions, 55–99. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-3.

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Karmakar, Sibdas, and Karmakar. "Transformation of Rectangular Cartesian Coordinates." In Analytical Geometry: Two Dimensions, 21–53. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-2.

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Karmakar, Sibdas, and Karmakar. "Diameters and Conjugate Diameters." In Analytical Geometry: Two Dimensions, 273–300. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-7.

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Karmakar, Sibdas, and Karmakar. "Preliminaries." In Analytical Geometry: Two Dimensions, 1–19. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-1.

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Karmakar, Sibdas, and Karmakar. "Pair of Straight Lines." In Analytical Geometry: Two Dimensions, 165–208. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-5.

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Karmakar, Sibdas, and Karmakar. "Tangents and Normals, Pair of Tangents, Chord of Contact & Pole and Polar." In Analytical Geometry: Two Dimensions, 209–71. London: CRC Press, 2022. http://dx.doi.org/10.1201/9781003293248-6.

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Conference papers on the topic "Analytical geometry"

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de Moraes Coelho, Daniel, and Juliano Barjud. "GAMIFICATION AS A TEACHING TOOL FOR ANALYTICAL GEOMETRY." In 25th International Congress of Mechanical Engineering. ABCM, 2019. http://dx.doi.org/10.26678/abcm.cobem2019.cob2019-0564.

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Nusinsky, Inna, and Amos A. Hardy. "Analytical treatment of two-dimensional photonic crystals with rectangular geometry." In 2008 IEEE 25th Convention of Electrical and Electronics Engineers in Israel (IEEEI). IEEE, 2008. http://dx.doi.org/10.1109/eeei.2008.4736620.

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Lloyd, James P., Donald T. Gavel, James R. Graham, Philip E. Hodge, Anand Sivaramakrishnan, and G. M. Voit. "Four-quadrant phase mask coronagraph: analytical calculation and pupil geometry." In Astronomical Telescopes and Instrumentation, edited by Alfred B. Schultz and Richard G. Lyon. SPIE, 2003. http://dx.doi.org/10.1117/12.457880.

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Roger, Michel, and Arnulfo Carazo. "Blade-Geometry Considerations in Analytical Gust-Airfoil Interaction Noise Models." In 16th AIAA/CEAS Aeroacoustics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-3799.

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Panahi, Fereidoun H., and Tomoaki Ohtsuki. "Stochastic geometry based analytical modeling of cognitive heterogeneous cellular networks." In ICC 2014 - 2014 IEEE International Conference on Communications. IEEE, 2014. http://dx.doi.org/10.1109/icc.2014.6884160.

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Alkhimenkov, Yury, and Beatriz Quintal. "An accurate analytical model for squirt flow considering simple pore geometry." In First International Meeting for Applied Geoscience & Energy. Society of Exploration Geophysicists, 2021. http://dx.doi.org/10.1190/segam2021-3582865.1.

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Shooter, Steven B., Paul H. Tidwell, and Charles F. Reinholtz. "An Analytical Approach to Cam-Modulated Linkage Synthesis Using Conjugate Geometry." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0261.

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Abstract Cam-modulated linkages are a combination of cams and traditional linkages. These mechanisms have the advantage of satisfying an infinite number of precision points for path generation and body guidance synthesis problems. It is possible to synthesize these mechanisms graphically; however, established graphical synthesis methods can be tedious and do not lend themselves to iterative mechanism design or optimization techniques. An analytical method for synthesizing cams for cam-modulated linkages using principles of conjugate geometry is presented. The method is valid for two-dimensional or three-dimensional mechanisms. The same method is used for followers undergoing complex motions. The method is applied to verify the synthesis of a high speed printing mechanism produced by Pitney-Bowes.

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Ji, U., and E. Jang. "Analytical design for stable channel geometry of Naesung Stream in Korea." In The 8th International Conference on Scour and Erosion. Taylor & Francis Group, 6000 Broken Sound Parkway NW, Suite 300, Boca Raton, FL 33487-2742: CRC Press, 2016. http://dx.doi.org/10.1201/9781315375045-102.

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van Veen, Co, and Wendy Luiten. "A new analytical approach to the geometry of a compressed liquid bump." In 2017 23rd International Workshop on Thermal Investigations of ICs and Systems (THERMINIC). IEEE, 2017. http://dx.doi.org/10.1109/therminic.2017.8233825.

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Catrysse, Peter B., and Shanhui Fan. "Simple Analytical Expression for the Dispersion of Plasmonic Structures with Coaxial Geometry." In International Quantum Electronics Conference. Washington, D.C.: OSA, 2009. http://dx.doi.org/10.1364/iqec.2009.ifc5.

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Reports on the topic "Analytical geometry"

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Iurkevich, I. A. USE OF ANALYTICAL GEOMETRY METHODS FOR KINEMATIC ANALYSIS OF PLANE LEVER MECHANISMS. Санкт-Петербургский филиал Научно-исследовательского центра «МашиноСтроение» (СПбФ НИЦ МС), 2018. http://dx.doi.org/10.18411/b10022011t20181204.

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Usmanova, Z. M., S. P. Balandin, and R. G. Zaynullin. Electronic educational and methodological manual on the sections «Linear algebra and analytical geometry, differential calculus of functions of one and several variables» of the discipline «Mathematics». OFERNIO, September 2021. http://dx.doi.org/10.12731/ofernio.2021.24887.

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Hlushak, Oksana M., Volodymyr V. Proshkin, and Oksana S. Lytvyn. Using the e-learning course “Analytic Geometry” in the process of training students majoring in Computer Science and Information Technology. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3268.

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As a result of literature analysis the expediency of free access of bachelors majoring in Computer Sciences and Information Technologies to modern information educational resources, in particular, e-learning courses in the process of studying mathematical disciplines is substantiated. It was established that the e-learning course is a complex of teaching materials and educational services created for the organization of individual and group training using information and communication technologies. Based on the outlined possibilities of applying the e-learning course, as well as its didactic functions, the structure of the certified e-learning course “Analytic Geometry” based on the Moodle platform was developed and described. Features of application of cloud-oriented resources are considered: Desmos, Geogebra, Wolfram|Alpha, Sage in the study of the discipline “Analytic Geometry”. The results of the pedagogical experiment on the basis of Borys Grinchenko Kyiv University and A. S. Makarenko Sumy State Pedagogical University are presented. The experiment was conducted to verify the effectiveness of the implementation of the e-learning course “Analytic Geometry”. Using the Pearson criterion it is proved that there are significant differences in the level of mathematical preparation of experimental and control group of students. The prospect of further scientific research is outlined through the effectiveness of the use of e-learning courses for the improvement of additional professional competences of students majoring in Computer Sciences and Information Technologies (specialization “Programming”, “Internet of Things”).

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Ballard, Sanford. Analytic solutions for seismic travel time and ray path geometry through simple velocity models. Office of Scientific and Technical Information (OSTI), December 2007. http://dx.doi.org/10.2172/1004383.

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Snyder, Victor A., Dani Or, Amos Hadas, and S. Assouline. Characterization of Post-Tillage Soil Fragmentation and Rejoining Affecting Soil Pore Space Evolution and Transport Properties. United States Department of Agriculture, April 2002. http://dx.doi.org/10.32747/2002.7580670.bard.

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Tillage modifies soil structure, altering conditions for plant growth and transport processes through the soil. However, the resulting loose structure is unstable and susceptible to collapse due to aggregate fragmentation during wetting and drying cycles, and coalescense of moist aggregates by internal capillary forces and external compactive stresses. Presently, limited understanding of these complex processes often leads to consideration of the soil plow layer as a static porous medium. With the purpose of filling some of this knowledge gap, the objectives of this Project were to: 1) Identify and quantify the major factors causing breakdown of primary soil fragments produced by tillage into smaller secondary fragments; 2) Identify and quantify the. physical processes involved in the coalescence of primary and secondary fragments and surfaces of weakness; 3) Measure temporal changes in pore-size distributions and hydraulic properties of reconstructed aggregate beds as a function of specified initial conditions and wetting/drying events; and 4) Construct a process-based model of post-tillage changes in soil structural and hydraulic properties of the plow layer and validate it against field experiments. A dynamic theory of capillary-driven plastic deformation of adjoining aggregates was developed, where instantaneous rate of change in geometry of aggregates and inter-aggregate pores was related to current geometry of the solid-gas-liquid system and measured soil rheological functions. The theory and supporting data showed that consolidation of aggregate beds is largely an event-driven process, restricted to a fairly narrow range of soil water contents where capillary suction is great enough to generate coalescence but where soil mechanical strength is still low enough to allow plastic deforn1ation of aggregates. The theory was also used to explain effects of transient external loading on compaction of aggregate beds. A stochastic forInalism was developed for modeling soil pore space evolution, based on the Fokker Planck equation (FPE). Analytical solutions for the FPE were developed, with parameters which can be measured empirically or related to the mechanistic aggregate deformation model. Pre-existing results from field experiments were used to illustrate how the FPE formalism can be applied to field data. Fragmentation of soil clods after tillage was observed to be an event-driven (as opposed to continuous) process that occurred only during wetting, and only as clods approached the saturation point. The major mechanism of fragmentation of large aggregates seemed to be differential soil swelling behind the wetting front. Aggregate "explosion" due to air entrapment seemed limited to small aggregates wetted simultaneously over their entire surface. Breakdown of large aggregates from 11 clay soils during successive wetting and drying cycles produced fragment size distributions which differed primarily by a scale factor l (essentially equivalent to the Van Bavel mean weight diameter), so that evolution of fragment size distributions could be modeled in terms of changes in l. For a given number of wetting and drying cycles, l decreased systematically with increasing plasticity index. When air-dry soil clods were slightly weakened by a single wetting event, and then allowed to "age" for six weeks at constant high water content, drop-shatter resistance in aged relative to non-aged clods was found to increase in proportion to plasticity index. This seemed consistent with the rheological model, which predicts faster plastic coalescence around small voids and sharp cracks (with resulting soil strengthening) in soils with low resistance to plastic yield and flow. A new theory of crack growth in "idealized" elastoplastic materials was formulated, with potential application to soil fracture phenomena. The theory was preliminarily (and successfully) tested using carbon steel, a ductile material which closely approximates ideal elastoplastic behavior, and for which the necessary fracture data existed in the literature.

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Warrick, Arthur, Uri Shani, Dani Or, and Muluneh Yitayew. In situ Evaluation of Unsaturated Hydraulic Properties Using Subsurface Points. United States Department of Agriculture, October 1999. http://dx.doi.org/10.32747/1999.7570566.bard.

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The primary information for accurately predicting water and solute movement and their impact on water quality is the characterization of soil hydraulic properties. This project was designed to develop methods for rapid and reliable estimates of unsaturated hydraulic properties of the soil. Particularly, in situ methodology is put forth, based on subsurface point sources. Devices were designed to allow introduction of water in subsurface settings at constant negative heads. The ability to operate at a negative head allows a direct method of finding unsaturated soil properties and a mechanism for eliminating extremely rapid preferential flow from the slow matrix flow. The project included field, laboratory and modeling components. By coupling the measurements and the modeling together, a wider range of designs can be examined, while at the same time realistic performance is assured. The developed methodology greatly expands the possibilities for evaluating hydraulic properties in place, especially for measurements in undisturbed soil within plant rooting zones. The objectives of the project were (i) To develop methods for obtaining rapid and reliable estimates of unsaturated hydraulic properties in situ, based on water distribution from subsurface point sources. These can be operated with a constant flow or at a constant head; (ii) To develop methods for distinguishing between matrix and preferential flow using cavities/permeameters under tension; (iii) To evaluate auxiliary measurements such as soil water content or tensions near the operating cavities to improve reliability of results; and (iv: To develop numerical and analytical models for obtaining soil hydraulic properties based on measurements from buried-cavity sources and the auxiliary measurements. The project began in July 1995 and was terminated in November 1998. All of the objectives were pursued. Three new subsurface point sources were designed and tested and two old types were also used. Two of the three new designs used a nylon cloth membrane (30 mm) arranged in a cylindrical geometry and operating at a negative water pressure (tension). A separate bladder arrangement allowed inflation under a positive pressure to maintain contact between the membrane and the soil cavity. The third new design used porous stainless steel (0.5 and 5 mm) arranged in six segments, each with its own water inlet, assembled to form a cylindrical supply surface when inflated in a borehole. The "old" types included an "off-the-shelf" porous cup as well as measurements from a subsurface drip emitter in a small subsurface cavity. Reasonable measurements were made with all systems. Sustained use of the cloth membrane devices were difficult because of leaks and plugging problems. All of the devices require careful consideration to assure contact with the soil system. Steady flow was established which simplified the analysis (except for the drip emitter which used a transient analysis).

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Volikova, Maryna M., Tetiana S. Armash, Yuliia V. Yechkalo, and Vladimir I. Zaselskiy. Practical use of cloud services for organization of future specialists professional training. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3269.

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The article is devoted to the peculiarities of the practical use of cloud services for the organization of qualitative professional training of future specialists. It is established that in order to implement state policy, there is an essential need for using various ICT, in particular cloud services, which are not only economically acceptable in the new educational environment, but also a powerful tools of obtaining new knowledge, skills and abilities. The advantages and disadvantages of using cloud services in the educational process of higher education are substantiated; the examples discuss the methods of using cloud services in the process of studying fundamental disciplines. The object of the study is the professional training of students in higher education institutions. The subject of research is the process of organizing professional training of future specialists with the use of cloud services. To achieve the set goals, a set of general scientific (analysis, synthesis, comparison) and specific scientific (bibliographic, problem-based) was used. Observation and conversation manipulation allowed to highlight the advantages and disadvantages of using cloud services and draw conclusions from the problem under investigation. The foreign experience of using cloud services has been researched and the features of the application of traditional and distance technology training abroad have been determined. It describes the use of the blog as a media-educational technology during the advent of pedagogical practice. The methods of using cloud-based services on the example of creation of a distance course “Linear algebra and analytic geometry” are considered. The prospects of research, which consist in getting acquainted with cloud technologies of the humanitarian profile future specialists at the second higher education, are determined. It has been established that the practical application of cloud technologies in the educational process will promote more qualitative and progressive learning; the formation of a close interaction between the teacher and student; development of professional skills and abilities of independent work.

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AN ANALYTICAL METHOD FOR EVALUATING THE DEFLECTION AND LOAD-BEARING AND ENERGY ABSORPTION CAPACITY OF ROCKFALL RING NETS CONSIDERING MULTIFACTOR INFLUENCE. The Hong Kong Institute of Steel Construction, September 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.1.

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In this study, an analytical method for evaluating the structural performance, including maximum deflection, load-bearing, and energy absorption capacity of a steel wire-ring net, was proposed to effectively design the ring net of the flexible barrier systems. Puncture tests of the ring nets and two-point traction tests of the three-ring chains with various wire-ring specifications were conducted. Correlation analysis was used to test the results between ring nets and chains, revealing that three structural performance indicators of the test specimens were strongly related. The ring net’s structural performance was affected specifically by ring chains on the shortest load transfer path. Accordingly, a three-ring chain with a flexible boundary corresponded to a fibre–spring element. A three-dimensional analytical model of the ring net was established. Explicit formulas for computing the three indicators of the ring net were derived. Comprehensive quasi-static and impact tests, using different shapes and sizes of punching devices, were conducted, providing valuable data to calibrate and validate this analytical method. The ability of the model in yielding consistent results when implemented at the structure scale was then assessed, based on the data of full-scale impact tests on a 1500kJ-energy rockfall barrier. Lastly, the effects of various factors, such as single ring geometry, the length–width ratio of the net, loading area size, boundary stiffness, and load rate, influencing the structural performance indicators of the ring net were investigated, respectively.

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FINITE ELEMENT SIMULATION FOR ULTRA-HIGH-PERFORMANCE CONCRETE-FILLED DOUBLE-SKIN TUBES EXPOSED TO FIRE. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.263.

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Ultra-high-performance concrete (UHPC) or ultra-high-strength concrete (UHSC) are alternatively used to reduce construction materials, thereby achieving more sustainable constructions. Moreover, engaging the advantages of concrete cores and outer steel tubes in concrete-filled steel tubes (CFST) or ductile concrete-filled double-skin tubes (CFDST) is of great interest for the better performance of such members under fire. Nevertheless, current design provisions do not provide design models for UHPC-filled double-skin tubes under fire, and existing finite-element (FE) methodologies available in the literature may not accurately simulate the behaviour of CFDST exposed to fire. Therefore, this paper develops a comprehensive FE protocol implementing the scripting technique to model CFDST members for heat transfer and coupled (simultaneously or sequentially) thermal-stress analyses. Various modelling parameters incorporated in the proposed FE routine include the cross-sectional geometry (circular, elliptical, hexagonal, octagonal, and rectangular), the size (width, diameter, and wall thickness), interactions, meshing, thermal- and mechanical-material properties, and boundary conditions. The detailed algorithm for heat transfer analysis is presented and elaborated via a flow chart. Validations, verifications, and robustness of the developed FE models are established based on extensive comparison studies with existing fire tests available in the literature. As a result, and to recognize the value of the current FE methodology, an extensive parametric study is conducted for different affecting parameters (e.g., nominal steel ratio, hollowness ratio, concrete cylindrical strength, yield strength of metal tubes, and width-to-thickness ratio). Extensive FE results are used for optimizing the fire design of such members. Consequently, a simplified and accurate analytical model that can provide the axial load capacity of CFDST columns under different fire ratings is presented

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A SIMPLE METHOD FOR A RELIABLE MODELLING OF THE NONLINEAR BEHAVIOUR OF BOLTED CONNECTIONS IN STEEL LATTICE TOWERS. The Hong Kong Institute of Steel Construction, March 2022. http://dx.doi.org/10.18057/ijasc.2022.18.1.6.

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The behaviour of bolted connections in steel lattice transmission line towers affects their load-bearing capacity and failure mode. Bolted connections are commonly modelled as pinned or fixed joints, but their behaviour lies between these two extremes and evolves in a nonlinear manner. Accordingly, an accurate finite element modelling of the structural response of complete steel lattice towers requires the consideration of various nonlinear phenomena involved in bolted connexions, such as bolt slippage. In this study, a practical method is proposed for the modelling of the nonlinear response of steel lattice tower connections involving one or multiple bolts. First, the local load-deformation behaviour of single-bolt lap connections is evaluated analytically depending on various geometric and material parameters and construction details. Then, the predicted nonlinear behaviour for a given configuration serves as an input to a 2D/3D numerical model of the entire assembly of plates in which the bolted joints are represented as discrete elements. For comparison purposes, an extensive experimental study comprising forty-four tests were conducted on steel plates assembled with one or two bolts. This approach is also extended to simulate the behaviour of assemblies including four bolts and the obtained results are checked against experimental datasets from the literature. The obtained results show that the proposed method can predict accurately the response of a variety of multi-bolt connections. A potential application of the strategy developed in this paper could be in the numerical modelling of full-scale steel lattice towers, particularly for a reliable estimation of the displacements.

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