flat structure
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Surface ◽  
2021 ◽  
Vol 13(28) ◽  
pp. 47-56
Author(s):  
V. V. Strelko ◽  
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Yu. I. Gorlov ◽  
E. M. Demianenko ◽  
◽  
...  

The aim of the study was to investigate the effect of heteroatoms on the deformation of graphene, as well as on the formation of the Stone-Wallace defect. To date, research on processes involving nanocarbon materials is relevant. In particular, in the formation of fullerenes, nanoonions and a number of other carbon nanoforms, the five-membered carbon cycles (pentactagonis) of the hepatogenesis (pentactagon) play the most important role in the curvature of initially flat graphene sheets and the formation of fullerene-like structures in the form of closed, skeletal, macromolecular formations. It should be noted, however, that the Pentagon is not the only factor in distorting the flat structure of graphene sheets in layered carbon materials. Some other defects of the carbon lattice (in particular, seven-membered carbon cycles and heteroatoms of a number of nonmetals with covalent radii exceeding the radius of the carbon atom) may play a similar role to one degree or another. These heteroatoms (primarily Si, P, S) are usually part of the precursors of mineral or vegetable origin and can be embedded in the carbon lattice in the process of coal production. Stone-Wallace there is their mutual compensation and preservation of a flat structure. The calculations were performed using quantum chemical modeling of doped nanographs in clusters of different size, composition and morphology, using the theory of density functional (DFT) with exchange-correlation functional B3LYP, based on the extended valence-split basis 6-31G (d) with full optimism clusters using the Firefly software package. It has been found that heteroatoms of non-metals with covalent radii exceeding the radius of the C atom, which are usually present in the precursors of mineral or vegetable origin used to produce pyrolyzed carbon materials, can play a significant role in energy. a number of nanoforms of carbon, activated carbon and other pyrolyzed nanostructured carbon materials.


Author(s):  
Qianheng Jin ◽  
Guangzhe Jin ◽  
Jihui Ju ◽  
Lei Xu ◽  
Linfeng Tang ◽  
...  

Three-dimensional (3D) bioprinting shows great potential for autologous vascular grafts due to its simplicity, accuracy, and flexibility. 6mm diameter vascular grafts are used in clinic. However, producing small-diameter vascular grafts are still an enormous challenge. Normally, sacrificial hydrogels are used as temporary lumen support to mold tubular structure which will affect the structure’s stability. In this study, we develop a new bioprinting approach to fabricating small-diameter vessel using two-step crosslinking process. ¼ lumen wall of bioprinted gelatin mechacrylate (GelMA) flat structure is exposed to ultraviolet (UV) light briefly for having certain strength, while ¾ lumen wall shows as concave structure remained uncrosslinked. Pre-crosslinked flat structure is merged towards the uncrosslinked concave structure. Two individual structures will be combined tightly into an intact tubular structure by receiving more UV exposure time. Complicated tubular structures are constructed by these method. Notably, the GelMA-based bioink loaded with smooth muscle cells (SMCs) are bioprinted as the outer layer and human umbilical vein endothelial cells (HUVECs) are seeded onto the inner surface. A bionic vascular vessel with dual layers is fabricated successfully and keeps good viability, and functionality. This study may provide a novel idea for fabricating biomimetic vascular network or other more complicated organs.


2021 ◽  
Author(s):  
Sébastien Ferré

The results of a SPARQL query are generally presented as a table with one row per result, and one column per projected variable. This is an immediate consequence of the formal definition of SPARQL results as a sequence of mappings from variables to RDF terms. However, because of the flat structure of tables, some of the RDF graph structure is lost. This often leads to duplicates in the contents of the table, and difficulties to read and interpret results. We propose to use nested tables to improve the presentation of SPARQL results. A nested table is a table where cells may contain embedded tables instead of RDF terms, and so recursively. We introduce an automated procedure that lifts flat tables into nested tables, based on an analysis of the query. We have implemented the procedure on top of Sparklis, a guided query builder in natural language, in order to further improve the readability of its UI. It can as well be implemented on any SPARQL querying interface as it only depends on the query and its flat results. We illustrate our proposal in the domain of pharmacovigilance, and evaluate it on complex queries over Wikidata.


2021 ◽  
Vol 648 ◽  
pp. L4
Author(s):  
Iliya S. Tikhonenko ◽  
Anton A. Smirnov ◽  
Natalia Ya. Sotnikova

Applying spectral dynamics methods to one typical N-body model with a barlens, we dissect the modelled bar into separate components supported by completely different types of orbits. We identify at least four components: a narrow elongated bar, a boxy bar, and two components contributing to the barlens. We analyse the vertical structure of all components that make up the thick part of the bar, which has a boxy/peanut shape (B/P bulge). We show that the ‘peanut’ shape is mainly due to the orbits that assemble the boxy part of the face-on bar. We associate the X-shape with the narrow and elongated bar. The wider part of the barlens with square-like isophotes contributes to the boxy shape of the B/P bulge when we observe the galaxy edge-on. However, the part of the barlens with rounded isophotes in the face-on view is a rather flat structure in the vertical direction without any significant off-centre protrusions. Thus, for the first time, we demonstrate that the rounded face-on barlens cannot be entirely associated with the B/P bulge.


Author(s):  
Naomichi Nakajima ◽  
Toru Ohmoto
Keyword(s):  

Author(s):  
Mitsuo Kato ◽  
◽  
Toshiyuki Mano ◽  
Jiro Sekiguchi ◽  
◽  
...  

Flat structure was introduced by K. Saito and his collaborators at the end of 1970's. Independently the WDVV equation arose from the 2D topological field theory. B. Dubrovin unified these two notions as Frobenius manifold structure. In this paper, we study isomonodromic deformations of an Okubo system, which is a special kind of systems of linear differential equations. We show that the space of independent variables of such isomonodromic deformations can be equipped with a Saito structure (without a metric), which was introduced by C. Sabbah as a generalization of Frobenius manifold. As its consequence, we introduce flat basic invariants of well-generated finite complex reflection groups and give explicit descriptions of Saito structures (without metrics) obtained from algebraic solutions to the sixth Painlevé equation.


2020 ◽  
Vol 135 (10) ◽  
Author(s):  
Akio Fujiwara

AbstractThe notion of dually flatness is of central importance in information geometry. Nevertheless, little is known about dually flat structures on quantum statistical manifolds except that the Bogoliubov metric admits a global dually flat structure on a quantum state space $${{\mathcal {S}}}({{\mathbb {C}}}^d)$$ S ( C d ) for any $$d\ge 2$$ d ≥ 2 . In this paper, we show that every monotone metric on a two-level quantum state space $${{\mathcal {S}}}({{\mathbb {C}}}^2)$$ S ( C 2 ) admits a local dually flat structure.


Fire Safety ◽  
2020 ◽  
Vol 36 ◽  
pp. 115-120
Author(s):  
R. Tatsii ◽  
M. Stasiuk ◽  
O. Pazen

The proposed work is devoted to the application of the direct method to the study of heat transfer processes in a multilayer flat structure. It is assumed that each layer is made of isotropic material of different thickness. There is an imperfect thermal contact between them, and the layers have internal heat sources. In this case, the isothermal surfaces are parallel planes, i.e the temperature changes in only one direction. On the outer surfaces of the structure there is a convective heat exchange with the environment, i.e the boundary conditions of the third kind are fulfilled. The coefficients of the thermal conductivity equation are considered to be piecewise constant with respect to the spatial coordinate. This is the first time the problem has been solved in this setting. The solution of the problem is realized by applying the method of reduction using the concept of quasi-derivatives and applying the theory of systems of differential equations with impulse action. The following is the procedure for separating Fourier variables using a modified method of eigenfunctions.Based on the physical content of the problem, the differential equation of thermal conductivity was written in the Cartesian coordinate system, but the solution scheme presented here without any fundamental difficulties extends to similar problems for multilayer bodies of basic geometric shapes by switching to appropriate coordinate systems. To illustrate the proposed method, a model example of finding the distribution of a nonstationary temperature field in a seven-layer flat structure under the influence of the hydrocarbon temperature of the fire is solved. The condition of ideal or non-ideal thermal contact is fulfilled between two adjacent layers. In addition, some layers have internal heat sources. The results of the calculations are presented in the form of a graph of temperature changes depending on timeand spatial coordinates.


2020 ◽  
Vol 4 (1) ◽  
pp. 94
Author(s):  
Selvi Loviana ◽  
Pika Merliza ◽  
Arlina Damayanti ◽  
Muhammad Khoirudin Mahfud ◽  
Anang Ma'ruf Islamuddin

Many students find it difficult to learn mathematics. This is partly due to the view that mathematics is far from real-life and culture. Whereas, in real life, mathematics is very closely related to the reality of life, one of which is culture. In Lampung's culture, mathematics is presented in many ways such as buildings and others. This research was conducted to increase awareness that the concept of mathematics is very close and related to the cultural value of the community through the exploration of the ethnomathematics concept which has been practiced by the Lampung community, especially on Tapis and traditional houses. Based on the results of the study, it was found that the concept of Tapis and traditional houses of Lampung have used the concept of mathematics, such as a flat structure. The concept of mathematics in Lampung cultural values ​​is expected to be used as a source of learning mathematics in school as well as being expected to increase students' love for local culture.


2020 ◽  
Vol 62 (3) ◽  
pp. 502
Author(s):  
А.В. Савин

The stationary states of graphene sheets partially hydrogenated on one side and lying on flat substrates are examined. It is shown that such sheets can have stable flat and various scrolled structures. The maximum density of hydrogenation at which the flat structure remains energetically the most favorable depends monotonously on the value of the adhesion of the sheet with the substrate. The stronger is the energy of interaction with the substrate, the higher is the maximum possible density of sheet hydrogenation. The dimensionless maximum density of hydrogenation is p=0.12 for the substrate with the surface of crystal ice, for graphite p=0.21, for silicon carbide p=0.28 and p=0.48 for nickel. The simulation allows us to conclude that the maximum hydrogenation of a graphene sheet (one hydrogen atom per two carbon atoms) and the production of a graphone sheet from it can be achieved only by placing the sheet on the surface of crystalline nickel.


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