Relevant bibliographies by topics / Hexagonal

Academic literature on the topic 'Hexagonal'

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Published: 4 June 2021
Last updated: 11 March 2023

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Journal articles on the topic "Hexagonal"

1

Brumberg, Alexandra, Kevin Hammonds, Ian Baker, Ellen H. G. Backus, Patrick J. Bisson, Mischa Bonn, Charles P. Daghlian, Markus Mezger, and Mary Jane Shultz. "Single-crystal Ih ice surfaces unveil connection between macroscopic and molecular structure." Proceedings of the National Academy of Sciences 114, no. 21 (May 9, 2017): 5349–54. http://dx.doi.org/10.1073/pnas.1703056114.

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Physics and chemistry of ice surfaces are not only of fundamental interest but also have important impacts on biological and environmental processes. As ice surfaces—particularly the two prism faces—come under greater scrutiny, it is increasingly important to connect the macroscopic faces with the molecular-level structure. The microscopic structure of the ubiquitous ice Ih crystal is well-known. It consists of stacked layers of chair-form hexagonal rings referred to as molecular hexagons. Crystallographic unit cells can be assembled into a regular right hexagonal prism. The bases are labeled crystallographic hexagons. The two hexagons are rotated 30° with respect to each other. The linkage between the familiar macroscopic shape of hexagonal snowflakes and either hexagon is not obvious per se. This report presents experimental data directly connecting the macroscopic shape of ice crystals and the microscopic hexagons. Large ice single crystals were used to fabricate samples with the basal, primary prism, or secondary prism faces exposed at the surface. In each case, the same sample was used to capture both a macroscopic etch pit image and an electron backscatter diffraction (EBSD) orientation density function (ODF) plot. Direct comparison of the etch pit image and the ODF plot compellingly connects the macroscopic etch pit hexagonal profile to the crystallographic hexagon. The most stable face at the ice–water interface is the smallest area face at the ice–vapor interface. A model based on the molecular structure of the prism faces accounts for this switch.
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Andallan, Laek S. "On the Generation of a Hexagonal Collision Model for the Boltzmann equation." Computational Methods in Applied Mathematics 4, no. 3 (2004): 271–89. http://dx.doi.org/10.2478/cmam-2004-0016.

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AbstractIn this article we prove the existence of two different classes of regular hexagons in the hexagonal grid. We develop a generalized layer-wise construction of a hexagonal discrete velocity model and derive general formulae to identify all regular hexagons belonging to the grid. We also present some numerical results based on the hexagonal grid.
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Kirste, Lutz, Thu Nhi Tran Thi Caliste, Jan L. Weyher, Julita Smalc-Koziorowska, Magdalena A. Zajac, Robert Kucharski, Tomasz Sochacki, et al. "Large-Scale Defect Clusters with Hexagonal Honeycomb-like Arrangement in Ammonothermal GaN Crystals." Materials 15, no. 19 (October 9, 2022): 6996. http://dx.doi.org/10.3390/ma15196996.

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In this paper, we investigate, using X-ray Bragg diffraction imaging and defect selective etching, a new type of extended defect that occurs in ammonothermally grown gallium nitride (GaN) single crystals. This hexagonal “honeycomb” shaped defect is composed of bundles of parallel threading edge dislocations located in the corners of the hexagon. The observed size of the honeycomb ranges from 0.05 mm to 2 mm and is clearly correlated with the number of dislocations located in each of the hexagon’s corners: typically ~5 to 200, respectively. These dislocations are either grouped in areas that exhibit “diameters” of 100–250 µm, or they show up as straight long chain alignments of the same size that behave like limited subgrain boundaries. The lattice distortions associated with these hexagonally arranged dislocation bundles are extensively measured on one of these honeycombs using rocking curve imaging, and the ensemble of the results is discussed with the aim of providing clues about the origin of these “honeycombs”.
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ABOU, BÉRENGÈRE, JOSÉ-EDUARDO WESFREID, and STÉPHANE ROUX. "The normal field instability in ferrofluids: hexagon–square transition mechanism and wavenumber selection." Journal of Fluid Mechanics 416 (August 10, 2000): 217–37. http://dx.doi.org/10.1017/s002211200000882x.

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When a ferrofluid layer is subjected to a uniform and vertically oriented magnetic field, an interfacial instability occurs, above a critical value of the magnetic field, giving rise to a hexagonal array of peaks. On increasing the magnetic field, a smooth morphological transition from the hexagonal array to a square array was observed above a second threshold. The hexagon–square transition phenomenology, in addition to the role of penta–hepta defects initially present in the hexagonal pattern, was investigated. Furthermore, the pattern and wavenumber selection was studied by two different procedures: first by imposing jumps in field intensity and second by varying the magnetic field in a quasi-static way. The results obtained were very different for the two procedures. They indicated that the square pattern was a metastable state induced by the compression of the hexagonal pattern on increasing the control parameter. This hypothesis was confirmed by performing an additional experiment where the pattern was isotropically compressed. In this experiment, the transition was induced at a constant magnetic field lower than the transition onset value. However, the theoretical values for stability domains of hexagons and squares proposed in the literature were found to not agree with the experimental values.
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Li, Xianyong, Xiaofan Yang, Guoping Wang, and Rongwei Hu. "Hosoya polynomials of general spiro hexagonal chains." Filomat 28, no. 1 (2014): 211–15. http://dx.doi.org/10.2298/fil1401211l.

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Spiro hexagonal chains are a subclass of spiro compounds which are an important subclass of Cycloalkynes in Organic Chemistry. This paper addresses general spiro hexagonal chains in which every hexagon represents a benzene ring, and establishes the formulae for computing the Hosoya polynomials of general spiro hexagonal chains.
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Uher, Vojtěch, Petr Gajdoš, Václav Snášel, Yu-Chi Lai, and Michal Radecký. "Hierarchical Hexagonal Clustering and Indexing." Symmetry 11, no. 6 (May 28, 2019): 731. http://dx.doi.org/10.3390/sym11060731.

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Space-filling curves (SFCs) represent an efficient and straightforward method for sparse-space indexing to transform an n-dimensional space into a one-dimensional representation. This is often applied for multidimensional point indexing which brings a better perspective for data analysis, visualization and queries. SFCs are involved in many areas such as big data analysis and visualization, image decomposition, computer graphics and geographic information systems (GISs). The indexing methods subdivide the space into logic clusters of close points and they differ in various parameters including the cluster order, the distance metrics, and the pattern shape. Beside the simple and highly preferred triangular and square uniform grids, the hexagonal uniform grids have gained high interest especially in areas such as GISs, image processing and data visualization for the uniform distance between cells and high effectiveness of circle coverage. While the linearization of hexagons is an obvious approach for memory representation, it seems there is no hexagonal SFC indexing method generally used in practice. The main limitation of hexagons lies in lacking infinite decomposition into sub-hexagons and similarity of tiles on different levels of hierarchy. Our research aims at defining a fast and robust hexagonal SFC method. The Gosper fractal is utilized to preserve the benefits of hexagonal grids and to efficiently and hierarchically linearize points in a hexagonal grid while solving the non-convex shape and recursive transformation issues of the fractal. A comparison to other SFCs and grids is conducted to verify the robustness and effectiveness of our hexagonal method.
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Ashraf, Haroon, Wail A. Mousa, and Saleh Al Dossary. "Sobel filter for edge detection of hexagonally sampled 3D seismic data." GEOPHYSICS 81, no. 6 (November 2016): N41—N51. http://dx.doi.org/10.1190/geo2015-0495.1.

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In today’s industry, automatic detection of geologic features such as faults and channels is a challenging problem when the quality of data is not good. Edge detection filters are generally applied for the purpose of locating such features. Until now, edge detection has been carried out on rectangularly sampled 3D seismic data. The computational cost of edge detection can be reduced by exploring other sampling approaches instead of the regular rectangular sampling commonly used. Hexagonal sampling is an alternative to rectangular sampling that requires 13.4% less samples for the same level of accuracy. The hexagonal approach is an efficient method of sampling with greater symmetry compared with the rectangular approach. Spiral architecture can be used to handle the hexagonally sampled seismic data. Spiral architecture is an attractive scheme for handling 2D images that enables processing 2D data as 1D data in addition to the inherent hexagonal sampling advantages. Thus, the savings in number of samples, greater symmetry, and efficient data handling capability makes hexagonal sampling an ideal choice for computationally exhaustive operations. For the first time to our knowledge, we have made an attempt to detect edges in hexagonally sampled seismic data using spiral architecture. We compared edge detection on rectangular and hexagonally sampled seismic data using 2D and 3D filters in rectangular and hexagonal domains. We determined that hexagonal processing results in exceptional computational savings, when compared with its rectangular processing counterpart.
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OKHUYSEN, B. S., and D. N. RIAHI. "On weakly nonlinear convection in mushy layers during solidification of alloys." Journal of Fluid Mechanics 596 (January 17, 2008): 143–67. http://dx.doi.org/10.1017/s0022112007009366.

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We consider the problem of weakly nonlinear buoyant convection in horizontal mushy layers with permeable mush–liquid interface during the solidification of binary alloys. We analyse the effects of several parameters of the problem on the stationary modes of convection in the form of either a hexagonal pattern or a non-hexagonal pattern such as rolls, rectangles and squares. No assumption is made on the thickness of the mushy layer, and a number of simplifying assumptions made in previous theoretical investigations of the problem are relaxed here in order to study the problem based on a more realistic model. Using both analytical and numerical methods, we determine the steady solutions for the nonlinear problem in a range of the Rayleigh number R near its critical value. Both the nonlinear basic state and variable permeability of the present problem favour hexagon-pattern convection. The results of the analyses and computations indicate that depending on the range of values of the parameters, bifurcation to hexagonal or non-hexagonal convection can be either supercritical or subcritical. However, among all the computed solutions in the particular range of values of the parameters that are most relevant to those of the experiments, only convection in the form of down-hexagons with downflow at the cell centres and upflow at the cell boundaries, was found to be realizable, in the sense that its amplitude increases with R.
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GOLOVIN, A. A., A. A. NEPOMNYASHCHY, and L. M. PISMEN. "NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION." International Journal of Bifurcation and Chaos 12, no. 11 (November 2002): 2487–500. http://dx.doi.org/10.1142/s021812740200600x.

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Nonpotential effects in nonlinear evolution of Marangoni convection patterns are investigated analytically and numerically. Three manifestations of nonpotential effects are considered: (i) spatial modulations of hexagonal patterns; (ii) interaction between a short-scale hexagonal pattern and a long-scale slow deformational (Goldstone) mode; (iii) generation of the mean flow by the free-surface deformation in a large-scale Marangoni convection with poorly conducting boundaries. Nonpotential effects are shown to cause various secondary instabilities leading to skewed hexagonal structures, coexisting u- and d-hexagons, oscillating hexagonal patterns, spatially irregular cellular patterns, etc.
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Almalki, Norah, and Pawaton Kaemawichanurat. "Domination and Independent Domination in Hexagonal Systems." Mathematics 10, no. 1 (December 26, 2021): 67. http://dx.doi.org/10.3390/math10010067.

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A vertex subset D of G is a dominating set if every vertex in V(G)\D is adjacent to a vertex in D. A dominating set D is independent if G[D], the subgraph of G induced by D, contains no edge. The domination number γ(G) of a graph G is the minimum cardinality of a dominating set of G, and the independent domination number i(G) of G is the minimum cardinality of an independent dominating set of G. A classical work related to the relationship between γ(G) and i(G) of a graph G was established in 1978 by Allan and Laskar. They proved that every K1,3-free graph G satisfies γ(G)=i(H). Hexagonal systems (2 connected planar graphs whose interior faces are all hexagons) have been extensively studied as they are used to present bezenoid hydrocarbon structures which play an important role in organic chemistry. The domination numbers of hexagonal systems have been studied continuously since 2018 when Hutchinson et al. posted conjectures, generated from a computer program called Conjecturing, related to the domination numbers of hexagonal systems. Very recently in 2021, Bermudo et al. answered all of these conjectures. In this paper, we extend these studies by considering the relationship between the domination number and the independent domination number of hexagonal systems. Although every hexagonal system H with at least two hexagons contains K1,3 as an induced subgraph, we find many classes of hexagonal systems whose domination number is equal to an independent domination number. However, we establish the existence of a hexagonal system H such that γ(H)<i(H) with the prescribed number of hexagons.
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Dissertations / Theses on the topic "Hexagonal"

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Gardiner, Bryan. "Hexagonal image processing." Thesis, University of Ulster, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535794.

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Kim, Jong-Woo. "Multiferroic hexagonal HoMnO3 films." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-26142.

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The fundamental properties of hexagonal multiferric HoMnO3 films have been thoroughly investigated. The films are grown by pulsed laser deposition on Y:ZrO2(111) substrates. High quality epitaxial HoMnO3 films of 25 { 1000 nm thickness were successfully prepared. The film properties are compared to those of single-crystals. The magnetization measurements revealed that the films show a deviating magnetic behavior from the single-crystals in several ways. For instance, the films have a weakened antiferromagnetic Ho3+ order confirmed from magnetic susceptibility. The difierences are likely to be related to the modified (mostly larger) lattice parameters of films. An approximate phase diagram in comparison with the single-crystal's one is constructed. For multiferroicity investigations, Second Harmonic Generation (SHG; in collaboration with the group of M. Fiebig) has been employed. By SHG, the ferroelectric polar order of the films is obviously confirmed. The ferroelectric switching at room temperature could be clearly demonstrated, whereas leakage of films requires generally a more sophisticated approach
Die fundamentalen Eigenschaften von hexagonalen multiferroischen HoMnO3 Schichten werden eingehend untersucht. Die dünnen Schichten wurden mittels gepulster Laserdeposition auf Y:ZrO2(111)-Substraten gewachsen. Hochwertige epitaktische HoMnO3-Dünnschichten von 25 { 1000 nm Dicke wurden erfolgreich hergestellt. Die Dünnschichteigenschaften werden mit denen von Einkristallen verglichen. Die Magnitisierungsmessungen ergeben, dass die dünnen Schichten ein von den Einkristallen in verschiedener Weise abweichendes magnetischen Verhalten zeigen. Zum Beispiel haben die dünnen Schichten eine abgeschwächte antiferromagntetische Ho3+ Ordnung, die durch die magnetische Suszeptibilität bestätigt wird. Die Unterschiede sind wahrscheinlich auf die veränderten (meistens grösseren) Gitterparameter der dünnen Schichten zurückzuführen. Ein Phasendiagramm wird zum Vergleich mit Einkristallen konstruiert. Durch Second Harmonic Generation (SHG; in Zusammenarbeit mit der Gruppe von M. Fiebig) wird die ferroelektrische Ordnung der dünnen Schichten eindeutig bestätigt. Das ferroelektrische Umschalten bei Raumtemperatur kann eindeutig nachgewiesen werden, wobei durch den Leckstrom der dünnen Schichten allgemein eine detailliertere Vorgehensweise benötigt wird
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Kim, Jong-Woo. "Multiferroic hexagonal HoMnO3 films." Doctoral thesis, Göttingen Cuvillier, 2009. http://d-nb.info/99957177X/04.

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Liu, Chen. "Multilevel halftoning over hexagonal grids." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file 0.85 Mb., 47 p, 2006. http://wwwlib.umi.com/dissertations/fullcit/1435813.

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Venancio, Bruno Felipe. "Caminhadas quânticas na rede hexagonal." reponame:Repositório Institucional da UFPR, 2016. http://hdl.handle.net/1884/46351.

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Orientador: Prof. Dr. Marcos Gomes Eleutério da Luz
Tese (doutorado) - Universidade Federal do Paraná, Setor de Ciências Exatas, Curso de Pós-Graduação em Física. Defesa: Curitiba, 29/11/2016
Inclui referências : f. 158-170
Resumo: Nesta tese abordamos as caminhadas quânticas em tempo discreto no modelo de es-palhamento (CQEs) na rede hexagonal. Primeiro faremos uma revisão das CQEs em uma dimensão, dando um enfoque mais de propagação em rede do que em computação e informação quântica, que e o usual na área. Em seguida apresentaremos um formalismo geral para a implementação das CQEs em redes regulares e daremos o simples exemplo concreto da rede quadrada. Na sequência do trabalho, implementaremos as CQEs para a rede hexagonal e analisaremos suas propriedade no espaço de momentum. Além disso, realizamos uma breve discussão comparando as estruturas de bandas de energia obtidas para uma CQEs, caracterizada pela matriz de Grover, com as do grafeno. De maneira qualitativa, observa-se que esses dois sistemas possuem características comuns. Finalmente, através destes formalismos exploramos a estrutura topolágica da rede hexagonal para obter dez diferentes formulações, com características espaciais distintas. Além disso, exemplificamos a evolução temporal dessas diferentes formulações das CQEs considerando, por exemplo, as matrizes de espalhamento de Grover e da transformada discreta de Fourier. Nosso estudo ilustra que, combinações específicas dessas dez formulações com matrizes de espalhamento adequadas resultam em sistemas com as caracterásticas fenomenoláogicas distintas, que podem ser uma possível forma de controle de processos quântico nas CQEs na rede hexagonal.
Abstract: In this work we discuss the discrete time quantum walks in the scattering formulation (SQWs) for the honeycomb lattice. First we review the quantum walks in one dimension, giving a focus in lattice propagation than in quantum computation and quantum information, which is usual in the area. Then we present a general formalism for the implementation of SQWs in regular lattices and give a simple concrete example of the square lattice. Next, we implement the SQWs for the honeycomb lattice and analyze its properties in momentum space. In addition, we present a brief discussion comparing the energy bands obtained for a SQWs (characterized by Grover matrix) with those of the graphene. Qualitatively, we observe that the two energy structures have common features. Finally, from the proposed formalism we show that it is possible to explore the topological structure of the honeycomb lattice. We obtain ten different formulations, each one with spatial different features. Furthermore, we exemplify the time evolution of these different SQWs versions considering as scattering matrices, the Grover and discrete Fourier transform operators. Our study ilustrate that specific combinations of the ten formulations with adequate scattering matrices result in distinct phenomenological behavior, which therefore may be a possible way to control quantum processes in SQWs along the honeycomb lattice.
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Alharbi, Abdulaziz. "Deformation of hexagonal boron nitride." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/deformation-of-hexagonal-boron-nitride(6c6013c4-8c17-4dec-b250-ed3f0baea7ed).html.

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Boron nitride (BN) materials have unique properties, which has led to interest in them in the last few years. The deformation of boron nitride materials including hexagonal boron nitride, boron nitride nanosheets (BNNSs) and boron nitride nanotubes have been studied by Raman spectroscopy. Both mechanical and liquid exfoliations were employed to obtain boron nitride nanostructures. Boron nitride glass composites were synthesised and prepared in thin films to be deformed by bending test in-situ Raman spectroscopy. Hexagonal boron nitride in the form of an individual flake and as flakes dispersed in glass matrices has been deformed and Raman measurement shows its response to strain. The shift rates were, -4.2 cm-1/%, -6.5 cm-1/% for exfoliated h-BN flake with thick and thin regions and -7.0 cm-1/%, -2.8 cm-1/% for the h-BN flakes in the h-BN/ glass (I) and glass (II) composites. Boron nitride nanosheets (BNNSs) shows a G band Raman peak at 1367.5 cm-1, and the deformation process of BNNSs/ glass composites gives a shift rate of -7.65 cm-1/% for G band. Boron nitride nanotubes (BNNTs) have a Raman peak with position at 1368 cm-1, and their deformation individually and in composites gives Raman band shift rates of -25.7 cm-1/% and -23.6 cm-1/%. Glass matrices shows compressive stresses on boron nitride fillers and this was found as an upshift in the frequencies of G band peak of boron nitride materials. Grüneisen parameters of boron nitride (BN) were used to calculate the residual strains in glass matrices of BNNSs nanocomposites as well as to estimate the band shift rates which found to be in agreement with the experimental shift rate of bulk BN and BNNTs.
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Alevizos, Konstantinos. "Tube extrusion of hexagonal metals." Thesis, Imperial College London, 2010. http://hdl.handle.net/10044/1/6049.

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Zr-2.5 wt % Nb (Zr-2.5Nb) is the main alloy used in the pressure tubes of CANDU nuclear reactors, which are manufactured by hot extrusion. Pressure tubes are subjected to high irradiation fields and corrosion, in addition to the applied stress at operating temperatures of around 330°C, which leads to irradiation creep that is often life-limiting; re-tubing the reactors, is a source of significant through-life cost of the reactor system. However, significant variability in performance is observed between tubes and stations, which is felt to be due to variability in the fabrication and operation conditions. The performance of Zr-2.5Nb is sensitive to both microstructure and texture and therefore it is desirable to be able to understand the extrusion conditions more fully. In this thesis, the extrusion of Zr-2.5Nb is examined, along with commercially pure titanium (CP Ti), commercially pure magnesium (CP Mg) and AA2014. The effect of extrusion ratio, die geometry and rod versus tube conditions are examined. The resulting microstructures and textures are rationalised with the aid of a finite element model for the process. After the introduction and literature review (Chapters 1-2), the modelling procedure and extrusion theory are examined (Chapter 3). Constitutive data (including friction conditions) are gathered and a Norton-Hoff constitutive model is generated in Chapter 4. It is found that adiabatic heating can be important at high strain rates and low temperatures, particularly in CP Ti and CP Mg. Recrystallization during deformation can be observed in the flow curves, particularly in CP Mg and AA2014 at low strain rates and high temperatures. The extrusion of AA2014 tubes is examined in Chapter 5. It is found that satisfactory textures and microstructures can be obtained, and that the model can reproduce the observed load curves. Partially extruded gridded billets are also used to verify the flow conditions predicted by the model and to obtain textures and microstructures part-way through the extrusion process. The extrusion of CP Mg and CP Ti are examined in Chapters 6 and 7, respectively. It was found that CP Mg recrystallized very easily, dominating the microstructures and textures observed. The CP Ti extrusions were performed in the [alpha]+[beta] regime in order to match Zr-2.5Nb conditions. The high extrusion ratio rod textures were dominated by the [beta]->[alpha]transformation, while those in the tubes were more characteristic of deformation of the [alpha] phase. Zr-2.5Nb extrusion is examined in Chapter 8. Satisfactory microstructures with elongated grains surrounded by thin ligaments of [beta] were obtained in the tube extruded through a flat-faced die, with the expected texture for this ratio of wall to diametral reduction (paragraph 2.5.7.1, Figure 2.25). The microstructures obtained were found to be a product of the temperature in the die and the cooling rate of the material. Excessive cooling rates lead to the production of basket-weave microstructures, and breakup of the grain boundary [alpha] to very fine microstructures. Again, the extrusion modelling allowed the results obtained to be rationalised. Finally, the reader is referred in Chapter 9 for a discussion of the obtained result. Conclusions drawn and suggestions for further work can be found in Chapter 10, together with recommendations for the industrial modelling of tube extrusion and for industrial practice.
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Zamora, María Alejandra Sánchez [Verfasser]. "Hexagonal ice : Single crystalline hexagonal ice studied through surface-specific vibrational spectroscopy / María Alejandra Sánchez Zamora." Mainz : Universitätsbibliothek Mainz, 2018. http://d-nb.info/1161765298/34.

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Camurlu, Hasan Erdem. "Carbothermic Production Of Hexagonal Boron Nitride." Phd thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/3/12607808/index.pdf.

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Formation of hexagonal boron nitride (h-BN) by carbothermic reduction of B2O3 under nitrogen atmosphere at 1500oC was investigated. Reaction products were subjected to powder X-ray diffraction analysis, chemical analysis and were examined by SEM. B4C was found to exist in the reaction products of the experiments in which h-BN formation was not complete. One of the aims of this study was to investigate the role of B4C in the carbothermic production of h-BN. For this purpose, conversion reaction of B4C into h-BN was studied. B4C used in these experiments was produced in the same conditions that h-BN was formed, but under argon atmosphere. It was found that formation of h-BN from B4C&ndash
B2O3 mixtures was slower than activated C&ndash
B2O3 mixtures. It was concluded that B4C is not a necessary intermediate product in the carbothermic production of h-BN. Some additives are known to catalytically affect the h-BN formation. The second aim of this study was to examine the catalytic effect of some alkaline earth metal oxides and carbonates, some transition metal oxides and cupric nitrate. It was found that addition of 10wt% CaCO3 into the B2O3+C mixture was optimum for increasing the rate and yield of h-BN formation and decreasing the B4C amount in the products and that the reaction was complete in 2 hours. CaCO3 was observed to be effective in increasing the rate and grain size of the formed h-BN. Addition of cupric nitrate together with CaCO3 provided a further increase in the size of the h-BN grains.
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Roussy, Marianne. "Studies of coarsening in hexagonal patterns." Thesis, McGill University, 2002. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=79118.

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A phase-field approach describing the formation and evolution of an hexagonally patterned surface is presented. We studied a free-energy and a time-dependent Ginzburg-Landau equation for which the order parameter is non-conserved. We give a review of the scaling phenomena in general and of hexagonal systems in particular, both from theoretical and experimental points of views. A squared shaped grid of varied sizes, with periodical boundary conditions, was used for the simulations. First, we studied the evolution of surfaces themselves. Then, we considered the evolution of the structure factor's maximum amplitude, and full width at half maximum. Scaling laws as a function of system size were found for these variables. We also made a study of surface energies. We monitored the evolution of the surface energies with time, and propose a scaling law for the energies. Finally, we studied the evolution of temporal correlation functions. We propose a further scaling law for the temporal correlation functions.
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Books on the topic "Hexagonal"

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Notebooks, Big. Hexagonal: Hexagonal Notebook with Small Hexagons. Independently published, 2019.

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Notebooks, Big. Hexagon: Large Hexagons in a Hexagonal Graph Paper Notebook. Independently Published, 2019.

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Pie, Sweetie. Hexagonal Graph Paper: Colorful Hexagons. Playful Publishing LLC, 2022.

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Pie, Sweetie. Hexagonal Graph Paper: Subtle Hexagons. Playful Publishing LLC, 2022.

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Krous, Simo. Hexagonal Graph Paper: Hexagonal Graph Paper. Independently Published, 2019.

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Docdigori(r), Documentos Digitales Origin, and Antonio J. Gonzalez-Fernandez(r). Hexagonal Milimetric Sketchpad: Bloc Milimetrado Hexagonal. Independently Published, 2019.

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paper, hexagonal chemistry graph. Hexagonal Graph Paper: Hexagonal Graph Paper. Independently Published, 2020.

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Hexagonal Graph Paper: 1/4 Inch Hexagons. Independently Published, 2022.

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Publishing, Student Notebook. Hexagonal Graph Paper: Large Hexagons 0. 5 , Hexagonal Graph Paper, 100 Numbered Pages, Green. Independently Published, 2019.

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Book, Handy Hex. Hexagon Paper Small: Hexagonal Graph Paper Notebook. Independently Published, 2021.

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Book chapters on the topic "Hexagonal"

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Gooch, Jan W. "Hexagonal." In Encyclopedic Dictionary of Polymers, 365. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_5925.

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Ikeda, Kiyohiro, and Kazuo Murota. "Hexagonal Distributions on Hexagonal Lattice." In Bifurcation Theory for Hexagonal Agglomeration in Economic Geography, 125–45. Tokyo: Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54258-2_5.

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Villars, P., K. Cenzual, J. Daams, R. Gladyshevskii, O. Shcherban, V. Dubenskyy, V. Kuprysyuk, and I. Savysyuk. "BiPO4 hexagonal." In Structure Types. Part 8: Space Groups (156) P3m1 – (148) R-3, 427. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-70892-6_228.

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Loeb, Arthur L. "Hexagonal Tessellations." In Concepts & Images, 101–5. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0343-8_10.

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Patnaik, Pawan Kumar, Venkata Padmavati Metta, Jyoti Singh, and D. G. Thomas. "Pure Hexagonal Context-Free Grammars Generating Hexagonal Patterns." In Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications, 42–55. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-20805-9_5.

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Pérez-García, C., S. Ciliberto, and E. Pampaloni. "Hexagonal Convective Cells." In NATO ASI Series, 191–98. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3750-2_17.

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Griffin, Jesse. "Hexagonal-Driven Development." In Domain-Driven Laravel, 521–44. Berkeley, CA: Apress, 2020. http://dx.doi.org/10.1007/978-1-4842-6023-4_17.

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Dersanambika, K. S., K. Krithivasan, C. Martin-Vide, and K. G. Subramanian. "Hexagonal Pattern Languages." In Lecture Notes in Computer Science, 52–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30503-3_4.

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Kant, Goos. "Hexagonal grid drawings." In Graph-Theoretic Concepts in Computer Science, 263–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/3-540-56402-0_53.

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Sußner, Gerd, and Günther Greiner. "Hexagonal Delaunay Triangulation." In Proceedings of the 18th International Meshing Roundtable, 519–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04319-2_30.

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Conference papers on the topic "Hexagonal"

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Schlosser, Tobias, Frederik Beuth, and Danny Kowerko. "Biologically Inspired Hexagonal Deep Learning For Hexagonal Image Generation." In 2020 IEEE International Conference on Image Processing (ICIP). IEEE, 2020. http://dx.doi.org/10.1109/icip40778.2020.9190995.

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Adelson, Edward H., and Eero P. Simoncelli. "Hexagonal QMF pyramids." In Applied Vision. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/av.1989.wb2.

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It is widely recognized that effective image processing and machine vision must involve the use of information at multiple scales, and that models of human vision must be multi-scale as well. The most commonly used image representations are linear transforms, in which an image is decomposed into a sum of elementary basis functions. Besides being well understood, linear transformations in the form of convolutions provide a useful model of some of the early processing in the human visual system.
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Deshmukh, Amit, Ameya Kadam, Sudesh Agrawal, and K. P. Ray. "Broadband CPW Fed Hexagonal Shape and Hexagonal Slot Cut Microstrip Antenna." In 2015 International Conference on Computing Communication Control and automation(ICCUBEA). IEEE, 2015. http://dx.doi.org/10.1109/iccubea.2015.29.

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Karthikeya G. S, Shravan Kaundinya, and Hariprasad S. A. "Dual band hexagonal microstrip antenna loaded with hexagonal and cylindrical EBG." In 2014 IEEE Fifth International Conference on Communications and Electronics (ICCE). IEEE, 2014. http://dx.doi.org/10.1109/cce.2014.6916734.

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Deshmukh, Amit, Sudesh Agrawal, Kshitij Lele, and K. P. Ray. "Broadband CPW fed Stub loaded hexagonal slot backed hexagonal microstrip antenna." In 2015 International Conference on Microwave and Photonics (ICMAP). IEEE, 2015. http://dx.doi.org/10.1109/icmap.2015.7408733.

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Afanas'ev, A. A., B. A. Samson, and V. M. Volkov. "Hexagonal Transverse Patterns in the Counter-Propagated Light Beams Interaction: Many-Body Approach." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.tuc2.

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The hexagonal patterns in nonlinear optics previously have been discovered experimentally [1,2] and numerically [3]. It was noted that the appearance of the hexagons is one of the displaying of strong counter-propagated light beams instability, in particular, in the media with Kerr-like nonlinearity.
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Duong, Hanh. "Hexagonal Boron Nitride Nanophotonics." In 2019 Compound Semiconductor Week (CSW). IEEE, 2019. http://dx.doi.org/10.1109/iciprm.2019.8819362.

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Tong, Xiaochong, Jin Ben, and Ying Wang. "A new effective Hexagonal Discrete Global Grid System: Hexagonal quad balanced structure." In 2010 18th International Conference on Geoinformatics. IEEE, 2010. http://dx.doi.org/10.1109/geoinformatics.2010.5567908.

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Abdulmalek, M., A. Z. Adha, M. Ibrahim, A. S. M. Radzi, A. Z. Zainee, H. Nornikman, B. H. Ahmad, et al. "Dual-band co-planar waveguide (CPW) hexagonal patch antenna with hexagonal slot." In 2017 International Conference on Electrical and Computing Technologies and Applications (ICECTA). IEEE, 2017. http://dx.doi.org/10.1109/icecta.2017.8251973.

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Moon, Hee-Jong, and Kyung-Sook Hyun. "Coupled guided modes lasing in hollow hexagonal cavities with an internal hexagon." In 2014 16th International Conference on Transparent Optical Networks (ICTON). IEEE, 2014. http://dx.doi.org/10.1109/icton.2014.6876651.

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Reports on the topic "Hexagonal"

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Ghaddar, Tarek, Aaron Graham, Benjamin Collins, and Brian Ade. HEXAGONAL GEOMETRIES IN MPACT. Office of Scientific and Technical Information (OSTI), August 2021. http://dx.doi.org/10.2172/1828254.

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Polk, Donald E., Kristl B. Hathaway, and Carl E. Patton. Hexagonal Ferrites for Millimeter Wave Applications. Fort Belvoir, VA: Defense Technical Information Center, January 1993. http://dx.doi.org/10.21236/ada260483.

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Marquez Rossy, Andres E., Beth L. Armstrong, Amy M. Elliott, and Edgar Lara-Curzio. Additive Manufacturing of Dense Hexagonal Boron Nitride Objects. Office of Scientific and Technical Information (OSTI), May 2017. http://dx.doi.org/10.2172/1357988.

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Wang, Jian, John P. Hirth, and Carlos Tome. Twinning and De-Twining in Hexagonal-Close-Packed Metals. Office of Scientific and Technical Information (OSTI), April 2013. http://dx.doi.org/10.2172/1072243.

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Lewis, E. E. Variational nodal transport methods for hexagonal and three-dimensional geometries. Office of Scientific and Technical Information (OSTI), February 1992. http://dx.doi.org/10.2172/7152709.

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Jia, J. J., T. A. Callcott, and L. Zhou. Inelastic scattering at the B K edge of hexagonal BN. Office of Scientific and Technical Information (OSTI), April 1997. http://dx.doi.org/10.2172/603572.

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Ismach, Ariel, Harry Chao, Rodney S. Ruoff, and Sanjay Banerjee. Synthesis and Characterization of Hexagonal Boron Nitride (h- BN) Films. Fort Belvoir, VA: Defense Technical Information Center, January 2014. http://dx.doi.org/10.21236/ada616097.

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Patel, J. R. Microstructure and Pinning Properties of Hexagonal Disc Shaped Single Crystalline MgB2. Office of Scientific and Technical Information (OSTI), April 2003. http://dx.doi.org/10.2172/813043.

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Strauss, H. L., Z. Chen, and C. K. Loong. The diffusion of H{sub 2} in hexagonal ice at low temperature. Office of Scientific and Technical Information (OSTI), February 1996. http://dx.doi.org/10.2172/188926.

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Kramer, William E., Kee-Chang Yoo, Zoltan Kun, Richard H. Hopkins, and Michael Daniel. Investigation of Hexagonal Ferrite Film Growth Techniques for Millimeter-Wave Systems Applications. Fort Belvoir, VA: Defense Technical Information Center, March 1987. http://dx.doi.org/10.21236/ada184335.

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