Статті в журналах: "Two-Connected Domain"

1

Vasconcelos, Giovani L. "Generalization of the Schwarz–Christoffel mapping to multiply connected polygonal domains." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2166 (June 8, 2014): 20130848. http://dx.doi.org/10.1098/rspa.2013.0848.

Повний текст джерела

Анотація:

A generalization of the Schwarz–Christoffel mapping to multiply connected polygonal domains is obtained by making a combined use of two preimage domains, namely, a rectilinear slit domain and a bounded circular domain. The conformal mapping from the circular domain to the polygonal region is written as an indefinite integral whose integrand consists of a product of powers of the Schottky-Klein prime functions, which is the same irrespective of the preimage slit domain, and a prefactor function that depends on the choice of the rectilinear slit domain. A detailed derivation of the mapping formula is given for the case where the preimage slit domain is the upper half-plane with radial slits. Representation formulae for other canonical slit domains are also obtained but they are more cumbersome in that the prefactor function contains arbitrary parameters in the interior of the circular domain.

Стилі APA, Harvard, Vancouver, ISO та ін.

2

Khrabustovskyi, Andrii. "Homogenization of the spectral problem on the Riemannian manifold consisting of two domains connected by many tubes." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143, no. 6 (December 2013): 1255–89. http://dx.doi.org/10.1017/s0308210510001927.

Повний текст джерела

Анотація:

The paper deals with the asymptotic behaviour as ε → 0 of the spectrum of the Laplace–Beltrami operator Δε on the Riemannian manifold Mε (dim Mε = N ≥ 2) depending on a small parameter ε > 0. Mε consists of two perforated domains, which are connected by an array of tubes of length qε. Each perforated domain is obtained by removing from the fixed domain Ω ⊂ ℝN the system of ε-periodically distributed balls of radius dε = ō(ε). We obtain a variety of homogenized spectral problems in Ω; their type depends on some relations between ε, dε and qε. In particular, if the limitsare positive, then the homogenized spectral problem contains the spectral parameter in a nonlinear manner, and its spectrum has a sequence of accumulation points.

Стилі APA, Harvard, Vancouver, ISO та ін.

3

Romão, E. C., J. B. Aparecido, J. B. Campos-Silva, and L. F. M. Moura. "HEAT TRANSFER IN MULTI-CONNECTED AND IRREGULAR DOMAINS WITH NON-UNIFORM MESHES." Revista de Engenharia Térmica 7, no. 2 (December 31, 2008): 44. http://dx.doi.org/10.5380/reterm.v7i2.61773.

Повний текст джерела

Анотація:

In this work is presented a numerical solution for temperature profile in two-dimensional diffusion inside irregular multi-connected geometry. The special discretization has been done by two variants of the finite Element Method: Galerkin Finite Element Method (GFEM) and Least Squares Finite Element Method (LSFEM). Three applications are presented. The first for a regular double connected domain; the second for a regular multi-connected domain and the third application for an irregular multi-connected domain. In all applications are considered Dirichlet boundary conditions. The results obtained in the present work are compared with results from Ansys® simulations. The results of each method are presented and discussed and the characteristics and advantages of the methods are also discussed.

Стилі APA, Harvard, Vancouver, ISO та ін.

4

Hu, Zonglin, and Joe Lutkenhaus. "Analysis of MinC Reveals Two Independent Domains Involved in Interaction with MinD and FtsZ." Journal of Bacteriology 182, no. 14 (July 15, 2000): 3965–71. http://dx.doi.org/10.1128/jb.182.14.3965-3971.2000.

Повний текст джерела

Анотація:

ABSTRACT In Escherichia coli FtsZ assembles into a Z ring at midcell while assembly at polar sites is prevented by themin system. MinC, a component of this system, is an inhibitor of FtsZ assembly that is positioned within the cell by interaction with MinDE. In this study we found that MinC consists of two functional domains connected by a short linker. When fused to MalE the N-terminal domain is able to inhibit cell division and prevent FtsZ assembly in vitro. The C-terminal domain interacts with MinD, and expression in wild-type cells as a MalE fusion disrupts minfunction, resulting in a minicell phenotype. We also find that MinC is an oligomer, probably a dimer. Although the C-terminal domain is clearly sufficient for oligomerization, the N-terminal domain also promotes oligomerization. These results demonstrate that MinC consists of two independently functioning domains: an N-terminal domain capable of inhibiting FtsZ assembly and a C-terminal domain responsible for localization of MinC through interaction with MinD. The fusion of these two independent domains is required to achieve topological regulation of Z ring assembly.

Стилі APA, Harvard, Vancouver, ISO та ін.

5

FERNANDES, F. Z., and M. C. LOPES FILHO. "TWO-DIMENSIONAL INCOMPRESSIBLE IDEAL FLOWS IN A NONCYLINDRICAL MATERIAL DOMAIN." Mathematical Models and Methods in Applied Sciences 17, no. 12 (December 2007): 2035–53. http://dx.doi.org/10.1142/s0218202507002558.

Повний текст джерела

Анотація:

The purpose of this work is to prove the existence of a weak solution of the two-dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion. We prove the existence of a weak solution for initial vorticity in Lp, for p > 1. This work complements a similar result by C. He and L. Hsiao, who proved existence assuming that the flow velocity is tangent to the moving boundary, see Ref. 6.

Стилі APA, Harvard, Vancouver, ISO та ін.

6

Green, Christopher C., and Giovani L. Vasconcelos. "Multiple steadily translating bubbles in a Hele-Shaw channel." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2163 (March 8, 2014): 20130698. http://dx.doi.org/10.1098/rspa.2013.0698.

Повний текст джерела

Анотація:

Analytical solutions are constructed for an assembly of any finite number of bubbles in steady motion in a Hele-Shaw channel. The solutions are given in the form of a conformal mapping from a bounded multiply connected circular domain to the flow region exterior to the bubbles. The mapping is written as the sum of two analytic functions—corresponding to the complex potentials in the laboratory and co-moving frames—that map the circular domain onto respective degenerate polygonal domains. These functions are obtained using the generalized Schwarz–Christoffel formula for multiply connected domains in terms of the Schottky–Klein prime function. Our solutions are very general in that no symmetry assumption concerning the geometrical disposition of the bubbles is made. Several examples for various bubble configurations are discussed.

Стилі APA, Harvard, Vancouver, ISO та ін.

7

Sakajo, Takashi. "Equation of motion for point vortices in multiply connected circular domains." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2108 (June 10, 2009): 2589–611. http://dx.doi.org/10.1098/rspa.2009.0070.

Повний текст джерела

Анотація:

The paper gives the equation of motion for N point vortices in a bounded planar multiply connected domain inside the unit circle that contains many circular obstacles, called the circular domain. The velocity field induced by the point vortices is described in terms of the Schottky–Klein prime function associated with the circular domain. The explicit representation of the equation enables us not only to solve the Euler equations through the point-vortex approximation numerically, but also to investigate the interactions between localized vortex structures in the circular domain. As an application of the equation, we consider the motion of two point vortices with unit strength and of opposite signs. When the multiply connected domain is symmetric with respect to the real axis, the motion of the two point vortices is reduced to that of a single point vortex in a multiply connected semicircle, which we investigate in detail.

Стилі APA, Harvard, Vancouver, ISO та ін.

8

CROWDY, DARREN. "Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions." Mathematical Proceedings of the Cambridge Philosophical Society 142, no. 2 (March 2007): 319–39. http://dx.doi.org/10.1017/s0305004106009832.

Повний текст джерела

Анотація:

AbstractA formula for the generalized Schwarz–Christoffel conformal mapping from a bounded multiply connected circular domain to an unbounded multiply connected polygonal domain is derived. The formula for the derivative of the mapping function is shown to contain a product of powers of Schottky–Klein prime functions associated with the circular preimage domain. Two analytical checks of the new formula are given. First, it is compared with a known formula in the doubly connected case. Second, a new slit mapping formula from a circular domain to the triply connected region exterior to three slits on the real axis is derived using separate arguments. The derivative of this independently-derived slit mapping formula is shown to correspond to a degenerate case of the new Schwarz–Christoffel mapping. The example of the mapping to the triply connected region exterior to three rectangles centred on the real axis is considered in detail.

Стилі APA, Harvard, Vancouver, ISO та ін.

9

Lee, Yunhee. "A semiotics of creativity and a poetic metaphor: Towards a dialogical relation of expression and explanation." Semiotica 2016, no. 208 (January 1, 2016): 155–65. http://dx.doi.org/10.1515/sem-2015-0122.

Повний текст джерела

Анотація:

AbstractThis paper aims to examine the status and ontology of expression level of sign to propose the concept of creativity in connection with Peirce’s theory of symbol and particularly symbolization. I argue that the process of symbolization has a certain directionality from the ontological to the substantial domain of sign. Thus, the internal world of concept is connected to the external world of things. In other words, a symbol as a cultural code with connoted meaning requires another dimension of a new creative expression. As a result, denotation on the expression level becomes extended. Based on this, symbols grow through symbolization with creative thinking. This process of symbolization is commensurate with explaining how two domains are connected. Consequently, the concept of creativity on the expression plane needs an explanation from a semiotic viewpoint as to how the ontological domain of concepts or ideas is connected to the substantial domain of expression or things based not on a psychological aspect but on a logical inference through metaphorical and analogical reasoning.

Стилі APA, Harvard, Vancouver, ISO та ін.

10

Falke, S., M. Fisher, and E. Gogol. "Conformational Changes In GROEL Induced by a Protein Substrate." Microscopy and Microanalysis 6, S2 (August 2000): 258–59. http://dx.doi.org/10.1017/s143192760003378x.

Повний текст джерела

Анотація:

The GroEL/GroES chaperonin system of E. coli facilitates nucleotide dependent folding of select proteins. The structure of GroEL has been described by three-dimensional electron microscopy and at higher resolution by X-ray crystallography. The GroEL oligomer is a cylindrical tetradecamer composed of two heptameric rings of 57 kDa protein subunits, stacked back to back. Each subunit is comprised of two large domains, equatorial and apical, connected by a smaller intermediate domain. The intermediate “hinge” domain links the apical and equatorial domain and provides flexibility for en bloc rearrangement associated with nucleotide and GroES binding. Equatorial domains are responsible for interactions between the two heptamers and contain the ATPase activity of GroEL. Each ring of GroEL has a central cavity that is the binding site for denatured protein substrate. GroES and denatured substrate binding sites are located on the apical domains facing the central cavity.

Стилі APA, Harvard, Vancouver, ISO та ін.

11

Guardado-Calvo, Pablo, Eva M. Muñoz, Antonio L. Llamas-Saiz, Gavin C. Fox, Richard Kahn, David T. Curiel, Joel N. Glasgow, and Mark J. van Raaij. "Crystallographic Structure of Porcine Adenovirus Type 4 Fiber Head and Galectin Domains." Journal of Virology 84, no. 20 (August 4, 2010): 10558–68. http://dx.doi.org/10.1128/jvi.00997-10.

Повний текст джерела

Анотація:

ABSTRACT Adenovirus isolate NADC-1, a strain of porcine adenovirus type 4, has a fiber containing an N-terminal virus attachment region, shaft and head domains, and a C-terminal galectin domain connected to the head by an RGD-containing sequence. The crystal structure of the head domain is similar to previously solved adenovirus fiber head domains, but specific residues for binding the coxsackievirus and adenovirus receptor (CAR), CD46, or sialic acid are not conserved. The structure of the galectin domain reveals an interaction interface between its two carbohydrate recognition domains, locating both sugar binding sites face to face. Sequence evidence suggests other tandem-repeat galectins have the same arrangement. We show that the galectin domain binds carbohydrates containing lactose and N-acetyl-lactosamine units, and we present structures of the galectin domain with lactose, N-acetyl-lactosamine, 3-aminopropyl-lacto-N-neotetraose, and 2-aminoethyl-tri(N-acetyl-lactosamine), confirming the domain as a bona fide galectin domain.

Стилі APA, Harvard, Vancouver, ISO та ін.

12

Friedrich, Manuel. "On a decomposition of regular domains into John domains with uniform constants." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 4 (October 2018): 1541–83. http://dx.doi.org/10.1051/cocv/2017029.

Повний текст джерела

Анотація:

We derive a decomposition result for regular, two-dimensional domains into John domains with uniform constants. We prove that for every simply connected domain Ω ⊂ ℝ2 with C1-boundary there is a corresponding partition Ω = Ω1 ⋃ … ⋃ ΩN with Σj=1NH1(∂Ωj\∂Ω)≤θ such that each component is a John domain with a John constant only depending on θ. The result implies that many inequalities in Sobolev spaces such as Poincaré’s or Korn’s inequality hold on the partition of Ω for uniform constants, which are independent of Ω.

Стилі APA, Harvard, Vancouver, ISO та ін.

13

Ecsedi, István, and Ákos József Lengyel. "Two Theorems on the Torsional Rigidity of Piezoelectric Beams." Journal of Computational and Applied Mechanics 17, no. 1 (2022): 42–53. http://dx.doi.org/10.32973/jcam.2022.003.

Повний текст джерела

Анотація:

In this paper two inequalities are presented for the torsional rigidity of homogeneous monoclinic piezoelectric beams. All results of the paper are based on the Saint-Venant theory of uniform torsion. The cross section of the considered elastic and piezoelectric beams may be simply connected or multiply connected two-dimensional bounded plane domain. Examples illustrate the proven inequality relations.

Стилі APA, Harvard, Vancouver, ISO та ін.

14

Herron, David, and Jeff Lindquist. "Hyperbolic distance versus quasihyperbolic distance in plane domains." Transactions of the American Mathematical Society, Series B 8, no. 20 (July 16, 2021): 578–614. http://dx.doi.org/10.1090/btran/73.

Повний текст джерела

Анотація:

We examine Euclidean plane domains with their hyperbolic or quasihyperbolic distance. We prove that the associated metric spaces are quasisymmetrically equivalent if and only if they are bi-Lipschitz equivalent. On the other hand, for Gromov hyperbolic domains, the two corresponding Gromov boundaries are always quasisymmetrically equivalent. Surprisingly, for any finitely connected hyperbolic domain, these two metric spaces are always quasiisometrically equivalent. We construct examples where the spaces are not quasiisometrically equivalent.

Стилі APA, Harvard, Vancouver, ISO та ін.

15

Himmel, Sebastian, Christian Grosse, Sebastian Wolff, Claudia Schwiegk, and Stefan Becker. "Structure of the RBD-PRDI fragment of the antiterminator protein GlcT." Acta Crystallographica Section F Structural Biology and Crystallization Communications 68, no. 7 (June 22, 2012): 751–56. http://dx.doi.org/10.1107/s1744309112020635.

Повний текст джерела

Анотація:

GlcT is a transcriptional antiterminator protein that is involved in regulation of glucose metabolism inBacillus subtilis. Antiterminator proteins bind specific RNA sequences, thus preventing the formation of overlapping terminator stem-loops. The structure of a fragment (residues 3–170) comprising the RNA-binding domain (RBD) and the first regulatory domain (PRDI) of GlcT was solved at 2.0 Å resolution with one molecule in the asymmetric unit. The two domains are connected by a helical linker. Their interface is mostly constituted by hydrophobic interactions.

Стилі APA, Harvard, Vancouver, ISO та ін.

16

Li, Dongchen, Shengyong Xu, Yuezhi Zheng, Changgui Qi, and Pengjiao Yao. "Navigation Path Detection for Cotton Field Operator Robot Based on Horizontal Spline Segmentation." International Journal of Information Technology and Web Engineering 12, no. 3 (July 2017): 28–41. http://dx.doi.org/10.4018/ijitwe.2017070103.

Повний текст джерела

Анотація:

Visual navigation is one of the fundamental techniques of intelligent cotton-picking robot. Cotton field composition is complex and the presence of occlusion and illumination makes it hard to accurately identify furrows so as to extract the navigation line. In this paper, a new field navigation path extraction method based on horizontal spline segmentation is presented. Firstly, the color image in RGB color space is pre-processed by the OTSU threshold algorithm to segment the binary image of the furrow. The cotton field image components are divided into four categories: furrow (ingredients include land, wilted leaves, etc.), cotton fiber, other organs of cotton and the outside area or obstructions. By using the significant differences in hue and value of the HSV model, the authors segment the threshold by two steps. Firstly, they segment cotton wool in the S channel, and then segment the furrow in the V channel in the area outside the cotton wool area. In addition, morphological processing is needed to filter out small noise area. Secondly, the horizontal spline is used to segment the binary image. The authors detect the connected domains in the horizontal splines, and merger the isolate small areas caused by the cotton wool or light spots in the nearby big connected domains so as to get connected domain of the furrow. Thirdly, they make the center of the bottom of the image as the starting point, and successively select the candidate point from the midpoint of the connected domain, according to the principle that the distance between adjacent navigation line candidate is smaller. Finally, the authors count the number of the connected domains and calculate the change of parameters of boundary line of the connected domain to make sure whether the robot reaches the outside of the field or encounters obstacles. If there is no anomaly, the navigation path is fitted by the navigation points using the least squares method. Experiments prove that this method is accurate and effective, which is suitable for visual navigation in the complex environment of a cotton field in different phases.

Стилі APA, Harvard, Vancouver, ISO та ін.

17

Zayed, E. M. E. "Eigenvalues of the Laplacian for the third boundary value problem." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 29, no. 1 (July 1987): 79–87. http://dx.doi.org/10.1017/s0334270000005634.

Повний текст джерела

Анотація:

AbstractThe spectral function , where are the eigenvalues of the two-dimensional Laplacian, is studied for a variety of domains. The dependence of θ(t) on the connectivity of a domain and the impedance boundary conditions is analysed. Particular attention is given to a doubly-connected region together with the impedance boundary conditions on its boundaries.

Стилі APA, Harvard, Vancouver, ISO та ін.

18

Nikolic, Zoran S. "Computer Simulation of Liquid Phase Sintering: Gravity Induced Skeletal Structure Evolution – A Review." Materials Science Forum 624 (June 2009): 19–42. http://dx.doi.org/10.4028/www.scientific.net/msf.624.19.

Повний текст джерела

Анотація:

This paper summarizes and reviews a number of important theoretical and experimental results connected to study of gravitational effects on liquid phase sintering. However, we will also investigate numerically gravity induced skeletal structure evolution during liquid phase sintering. Applying domain methodology, solid skeleton evolution will be introduced by definition of skeleton units determined by equilibrium dihedral angle and formation of large solid skeleton arranged in long chain of connected solid-phase domains. The settling procedure will be simulated by two submodels: free settling model in which solid-phase domains fall under gravity over already settled domains, and extended model in which settled domains continue their motion till they reach a position of their local equilibrium. Three more submodels will be also defined: rearrangement densification model, settling densification model, and Brownian motion model. It will be assumed that under gravity condition Stokes’s law settling usually dominates microstructure formation, where the settling procedure as well as settling time will be used for computation of average migration distance during defined time interval. Thus gravity induced solid-phase domain structure evolution will be simulated by simultaneous computation of displacement of the center of mass. The new methodology will be applied for simulation of microstructural evolution of a regular multi-domain model under gravity and gravity conditions.

Стилі APA, Harvard, Vancouver, ISO та ін.

19

Rogosin, Sergei, and Tatsyana Vaitekhovich. "Hele-Shaw Model for Melting/Freezing with Two Dendrits." Materials Science Forum 553 (August 2007): 143–51. http://dx.doi.org/10.4028/www.scientific.net/msf.553.143.

Повний текст джерела

Анотація:

Melting/freezing process with two dendrits (or freeze “pipes”) is modelled by the complex Hele-Shaw moving boundary value problem in a doubly connected domain. The later is equivalently reduced to a couple of problems, namely, to the linear Riemann-Hilbert boundary value problem in a doubly connected domain and to evolution problem, which can be written in a form of an abstract Cauchy-Kovalevsky problem. The later is studied on the base of Nirenberg-Nishida theorem, and for the former a generalization of the Schwarz Alternation Method is proposed. By using composition of these two approaches we get the local in time solvability of this couple of problems in appropriate Banach space setting.

Стилі APA, Harvard, Vancouver, ISO та ін.

20

Rehic, Edisa, Dana Hoenig, Bianca E. Kamba, Anna Goehring, Eckhard Hofmann, Raphael Gasper, Anja Matena, and Peter Bayer. "Structural Analysis of the 42 kDa Parvulin of Trypanosoma brucei." Biomolecules 9, no. 3 (March 7, 2019): 93. http://dx.doi.org/10.3390/biom9030093.

Повний текст джерела

Анотація:

Trypanosoma brucei is a unicellular eukaryotic parasite, which causes the African sleeping sickness in humans. The recently discovered trypanosomal protein Parvulin 42 (TbPar42) plays a key role in parasite cell proliferation. Homologues of this two-domain protein are exclusively found in protozoa species. TbPar42 exhibits an N-terminal forkhead associated (FHA)-domain and a peptidyl-prolyl-cis/trans-isomerase (PPIase) domain, both connected by a linker. Using NMR and X-ray analysis as well as activity assays, we report on the structures of the single domains of TbPar42, discuss their intra-molecular interplay, and give some initial hints as to potential cellular functions of the protein.

Стилі APA, Harvard, Vancouver, ISO та ін.

21

Krupitsky, Alexander, and Mark A. Cane. "A Two-Layer Wind-Driven Ocean Model in a Multiply Connected Domain with Bottom Topography." Journal of Physical Oceanography 27, no. 11 (November 1997): 2395–404. http://dx.doi.org/10.1175/1520-0485(1997)027<2395:atlwdo>2.0.co;2.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

22

Satarić, M. V., R. B. Zakula, J. A. Tuszyński, and Z. Y. Shemsidini. "The role of domain walls in energy transfer mechanisms between two connected one-dimensional ferroelectrics." Physica Scripta 43, no. 3 (March 1, 1991): 340–46. http://dx.doi.org/10.1088/0031-8949/43/3/024.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

23

Backman, Lars. "Alpha-actinin of the chlorarchiniophyte Bigelowiella natans." PeerJ 6 (January 17, 2018): e4288. http://dx.doi.org/10.7717/peerj.4288.

Повний текст джерела

Анотація:

The genome of the chlorarchiniophyte Bigelowiella natans codes for a protein annotated as an α-actinin-like protein. Analysis of the primary sequence indicate that this protein has the same domain structure as other α-actinins, a N-terminal actin-binding domain and a C-terminal calmodulin-like domain. These two domains are connected by a short rod domain, albeit long enough to form a single spectrin repeat. To analyse the functional properties of this protein, the full-length protein as well as the separate domains were cloned and isolated. Characerisation showed that the protein is capable of cross-linking actin filaments into dense bundles, probably due to dimer formation. Similar to human α-actinin, calcium-binding occurs to the most N-terminal EF-hand motif in the calmodulin-like C-terminal domain. The results indicate that this Bigelowiella protein is a proper α-actinin, with all common characteristics of a typical α-actinin.

Стилі APA, Harvard, Vancouver, ISO та ін.

24

Krutitskii, P. A. "The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts." Proceedings of the Edinburgh Mathematical Society 43, no. 2 (June 2000): 325–41. http://dx.doi.org/10.1017/s0013091500020952.

Повний текст джерела

Анотація:

AbstractThe Dirichlet problem for the Laplace equation in a connected-plane region with cuts is studied. The existence of a classical solution is proved by potential theory. The problem is reduced to a Fredholm equation of the second kind, which is uniquely solvable.

Стилі APA, Harvard, Vancouver, ISO та ін.

25

Skvortsov, Serhii. "Local behavior of mappings of metric spaces with branching." Ukrainian Mathematical Bulletin 17, no. 4 (December 14, 2020): 574–93. http://dx.doi.org/10.37069/1810-3200-2020-17-4-7.

Повний текст джерела

Анотація:

The local behavior of mappings with the inverse Poletsky inequality between metric spaces is studied. The case where one of the spaces satisfies the condition of weak sphericalization, is similar to the Riemannian sphere (extended Euclidean space), and is locally linearly connected under a mapping is considered. It is proved that the equicontinuity of the corresponding families of mappings of two domains, one of which is a domain with a weakly flat boundary, and another one is a fixed domain with a compact closure, the corresponding weight in the main inequality being supposed to be integrable.

Стилі APA, Harvard, Vancouver, ISO та ін.

26

Burgiel, Heidi, and Vignon Oussa. "Gabor orthonormal bases generated by indicator functions of parallelepiped-shaped sets." Advances in Pure and Applied Mathematics 9, no. 2 (April 1, 2018): 93–107. http://dx.doi.org/10.1515/apam-2016-0087.

Повний текст джерела

Анотація:

AbstractThe main objective of the present work is to provide a procedure to construct Gabor orthonormal bases generated by indicator functions of parallelepiped-shaped sets. Given two full-rank lattices of the same volume, we investigate conditions under which there exists a common fundamental domain which is the image of a unit cube under an invertible linear operator. More precisely, we provide a characterization of pairs of full-rank lattices in{\mathbb{R}^{d}}admitting common connected fundamental domains of the type{N[0,1)^{d}}, whereNis an invertible matrix. As a byproduct of our results, we are able to construct a large class of Gabor windows which are indicator functions of sets of the type{N[0,1)^{d}}. We also apply our results to construct multivariate Gabor frames generated by smooth windows of compact support. Finally, we prove in the two-dimensional case that there exists an uncountable family of pairs of lattices of the same volume which do not admit a common connected fundamental domain of the type{N[0,1)^{2}}, whereNis an invertible matrix.

Стилі APA, Harvard, Vancouver, ISO та ін.

27

Manne, Kartik, Sthanam V. L. Narayana, and Debasish Chattopadhyay. "Crystal structure of the N-terminal domain of the fibronectin-binding protein PavA from Streptococcus pneumoniae." Acta Crystallographica Section F Structural Biology Communications 75, no. 10 (September 24, 2019): 657–62. http://dx.doi.org/10.1107/s2053230x19012160.

Повний текст джерела

Анотація:

The Gram-positive bacterium Streptococcus pneumoniae, a major human pathogen, is a regular colonizer of the upper and lower respiratory tracts. Pneumococcal adherence and virulence factor A (PavA), a fibronectin-binding bacterial protein, from S. pneumoniae is an important facilitator of its colonization of host cells. In this study, the crystal structure of the N-terminal domain of PavA (SpPavA-N) determined at a resolution of 2.39 Å is reported. Each monomer of the dimeric protein consists of two domains (domains I and II) and a short α-helix (α6) at the C-terminus that are connected by elongated loops. Comparison of the SpPavA-N structure with that of its homolog from Streptococcus suis (FBPS-N) revealed differences in α5, α6 and the domain II/α6 inter-loop region within domain II. The α5 helix of FBPS-N folds back toward domain I, whereas in SpPavA-N it adopts an elongated rod shape.

Стилі APA, Harvard, Vancouver, ISO та ін.

28

Hall, L. R., M. Streuli, S. F. Schlossman, and H. Saito. "Complete exon-intron organization of the human leukocyte common antigen (CD45) gene." Journal of Immunology 141, no. 8 (October 15, 1988): 2781–87. http://dx.doi.org/10.4049/jimmunol.141.8.2781.

Повний текст джерела

Анотація:

Abstract Ten genomic DNA clones encoding the human leukocyte common Ag (LCA, CD45) gene were isolated by screening human genomic DNA libraries with LCA cDNA probes. One genomic DNA clone contains the promoter region and the first two exons, as determined by primer extension analyses and S1 nuclease protection studies as well as nucleotide sequence determination. The first exon does not encode a peptide, while the second exon contains the initiation ATG codon and encodes the signal peptide. The other nine genomic DNA clones, which are separated from the first genomic clone by an unknown distance, are connected and span a total of 73 kb. The nine connected genomic clones encode a total of 31 exons. The 33 exons encoded by these 10 genomic clones account for the entire cDNA sequences including the 5' and 3' untranslated sequences. Exon 3 and exons 7 through 15 encode the extracellular domain sequences that are common to all LCA isoforms. Differential usage of exons 4, 5, and 6, generates at least five distinct LCA isoforms. Exon 16 encodes the transmembrane peptide. The cytoplasmic region of the leukocyte common antigens is composed of two homologous domains. Exons 17 through 24 encode the first domain, and exons 25 through 32 encode the second domain. The comparison of these exons indicated that the homologous domains were generated by duplication of several exons. The most 3' exon (exon 33) encodes the carboxy terminus of the LCA molecules and includes the entire 3' untranslated sequence.

Стилі APA, Harvard, Vancouver, ISO та ін.

29

Taghite, M'B, R. Kouitat, S. Bendib, G. Dubois, and B. K. Bonzi. "Solution of a Nonlinear Thermal Problem in Connected Domains." Journal of Multiscale Modelling 06, no. 04 (December 2015): 1550010. http://dx.doi.org/10.1142/s1756973715500109.

Повний текст джерела

Анотація:

In this paper, the limit behavior of nonlinear problems with nonhomogeneous Fourier boundary conditions, in a connected domain is established. This domain consists of two separate parts jointed by a set of bridges. The parameter describing the heterogeneities of the material and the size of the bridges can be very small. The homogenization method is used to estimate the field of temperatures attainable in the medium, depending of the relative order of the size of the bridges. Three situations are studied according to the connectedness of the components of the domain.

Стилі APA, Harvard, Vancouver, ISO та ін.

30

Kapanadze, G. "Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines." Georgian Mathematical Journal 7, no. 3 (September 2000): 513–21. http://dx.doi.org/10.1515/gmj.2000.513.

Повний текст джерела

Анотація:

Abstract A problem of bending of a plate is considered for an infinite doubly-connected domain bounded by two convex broken lines when the plate boundary is hinge-supported and normally bending moments are applied to the points at infinity. A similar reasoning is used to study a problem of bending of a plate for an infinite domain bounded by a convex polygon and a rectilinear cut or for an infinite domain with two rectilinear cuts.

Стилі APA, Harvard, Vancouver, ISO та ін.

31

Pirro, Fabio, Nathan Schmidt, James Lincoff, Zachary X. Widel, Nicholas F. Polizzi, Lijun Liu, Michael J. Therien, et al. "Allosteric cooperation in a de novo-designed two-domain protein." Proceedings of the National Academy of Sciences 117, no. 52 (December 14, 2020): 33246–53. http://dx.doi.org/10.1073/pnas.2017062117.

Повний текст джерела

Анотація:

We describe the de novo design of an allosterically regulated protein, which comprises two tightly coupled domains. One domain is based on the DF (Due Ferri in Italian or two-iron in English) family of de novo proteins, which have a diiron cofactor that catalyzes a phenol oxidase reaction, while the second domain is based on PS1 (Porphyrin-binding Sequence), which binds a synthetic Zn-porphyrin (ZnP). The binding of ZnP to the original PS1 protein induces changes in structure and dynamics, which we expected to influence the catalytic rate of a fused DF domain when appropriately coupled. Both DF and PS1 are four-helix bundles, but they have distinct bundle architectures. To achieve tight coupling between the domains, they were connected by four helical linkers using a computational method to discover the most designable connections capable of spanning the two architectures. The resulting protein, DFP1 (Due Ferri Porphyrin), bound the two cofactors in the expected manner. The crystal structure of fully reconstituted DFP1 was also in excellent agreement with the design, and it showed the ZnP cofactor bound over 12 Å from the dimetal center. Next, a substrate-binding cleft leading to the diiron center was introduced into DFP1. The resulting protein acts as an allosterically modulated phenol oxidase. Its Michaelis–Menten parameters were strongly affected by the binding of ZnP, resulting in a fourfold tighter Km and a 7-fold decrease in kcat. These studies establish the feasibility of designing allosterically regulated catalytic proteins, entirely from scratch.

Стилі APA, Harvard, Vancouver, ISO та ін.

32

Nikolic, Z. S. "Computer simulation of free settling and skeletal settling during liquid phase sintering." Science of Sintering 38, no. 1 (2006): 41–54. http://dx.doi.org/10.2298/sos0601041n.

Повний текст джерела

Анотація:

In recent years, a range of computer simulation models leading to a better understanding of liquid phase sintering phenomena, have been developed with the aim of simulating the detailed evolution of microstructure during grain growth. Some liquid phase sintered materials show both macrostructural and microstructural effects associated with gravity force. Therefore we will develop a numerical procedure for the estimation of how much gravity will influence domain (two-dimensional particle representation) growth, domain boundary migration and solid skeleton formation due to gravity induced segregation during liquid phase sintering. The method used for the simulation of a gravity field will be based on the settling procedure. Gravity induced settling will be separated into two stages - Free Settling and Skeletal Settling. Isolated solid phase domains fall under gravity and slide down over the already settled domains (free settling). During settling they make point contacts with each other. Necks between them then form and start to grow until the equilibrium dihedral angle between the domain boundaries and the liquid is established. Thus a solid skeleton forms and skeletal settling of a connected solid structure takes place. .

Стилі APA, Harvard, Vancouver, ISO та ін.

33

Nogales, Eva, and Kenneth H. Downing. "Atomic Model of Tubulin by Electron Crystallography." Microscopy and Microanalysis 4, S2 (July 1998): 454–55. http://dx.doi.org/10.1017/s143192760002239x.

Повний текст джерела

Анотація:

The structure of tubulin, the major protein component of microtubules, has been obtained by electron crystallography of zinc-induced 2-D crystals. The atomic model of the tubulin dimer, built into a 3.7 Å density map, shows that α- and β-tubulin have basically identical structures. Each monomer is very compact and is formed by two interacting beta sheets surrounded by helices. The structure can be divided into three sequential domains that are functionally distinctive. The N-terminal domain forms a Rossmann fold that binds the nucleotide. Connected to the nucleotide-binding domain by the core helix is a second domain that in β-tubulin contains the binding site of taxol. The C-terminal region is formed by two long helices that constitute most of the interactive, outside surface of the microtubule. The nucleotide-binding and second domains are common with FtsZ, a bacterial homologue of tubulin essential for cell division. The bacterial protein, which lacks the C-terminal helices of tubulin, has generally shorter loops and contains an extra helix at the N-terminus.

Стилі APA, Harvard, Vancouver, ISO та ін.

34

Zayed, E. M. E., та I. H. Abdel-Halim. "The wave equation approach to an inverse eigenvalue problem for an arbitrary multiply connected drum inℝ2with Robin boundary conditions". International Journal of Mathematics and Mathematical Sciences 25, № 11 (2001): 717–26. http://dx.doi.org/10.1155/s0161171201005300.

Повний текст джерела

Анотація:

The spectral functionμˆ(t)=∑j=1∞exp(−itμj1/2), where{μj}j=1∞are the eigenvalues of the two-dimensional negative Laplacian, is studied for small|t|for a variety of domains, where−∞<t<∞andi=−1. The dependencies ofμˆ(t)on the connectivity of a domain and the Robin boundary conditions are analyzed. Particular attention is given to an arbitrary multiply-connected drum inℝ2together with Robin boundary conditions on its boundaries.

Стилі APA, Harvard, Vancouver, ISO та ін.

35

Dowling, Daniel P., Yan Kung, Anna K. Croft, Koli Taghizadeh, Wendy L. Kelly, Christopher T. Walsh, and Catherine L. Drennan. "Structural elements of an NRPS cyclization domain and its intermodule docking domain." Proceedings of the National Academy of Sciences 113, no. 44 (October 17, 2016): 12432–37. http://dx.doi.org/10.1073/pnas.1608615113.

Повний текст джерела

Анотація:

Epothilones are thiazole-containing natural products with anticancer activity that are biosynthesized by polyketide synthase (PKS)-nonribosomal peptide synthetase (NRPS) enzymes EpoA–F. A cyclization domain of EpoB (Cy) assembles the thiazole functionality from an acetyl group and l-cysteine via condensation, cyclization, and dehydration. The PKS carrier protein of EpoA contributes the acetyl moiety, guided by a docking domain, whereas an NRPS EpoB carrier protein contributes l-cysteine. To visualize the structure of a cyclization domain with an accompanying docking domain, we solved a 2.03-Å resolution structure of this bidomain EpoB unit, comprising residues M1-Q497 (62 kDa) of the 160-kDa EpoB protein. We find that the N-terminal docking domain is connected to the V-shaped Cy domain by a 20-residue linker but otherwise makes no contacts to Cy. Molecular dynamic simulations and additional crystal structures reveal a high degree of flexibility for this docking domain, emphasizing the modular nature of the components of PKS-NRPS hybrid systems. These structures further reveal two 20-Å-long channels that run from distant sites on the Cy domain to the active site at the core of the enzyme, allowing two carrier proteins to dock with Cy and deliver their substrates simultaneously. Through mutagenesis and activity assays, catalytic residues N335 and D449 have been identified. Surprisingly, these residues do not map to the location of the conserved HHxxxDG motif in the structurally homologous NRPS condensation (C) domain. Thus, although both C and Cy domains have the same basic fold, their active sites appear distinct.

Стилі APA, Harvard, Vancouver, ISO та ін.

36

Ishino, Tetsuya, Mengmeng Wang, Lidia Mosyak, Amy Tam, Weili Duan, Kristine Svenson, Alison Joyce, et al. "Engineering a Monomeric Fc Domain Modality by N-Glycosylation for the Half-life Extension of Biotherapeutics." Journal of Biological Chemistry 288, no. 23 (April 24, 2013): 16529–37. http://dx.doi.org/10.1074/jbc.m113.457689.

Повний текст джерела

Анотація:

Human IgG is a bivalent molecule that has two identical Fab domains connected by a dimeric Fc domain. For therapeutic purposes, however, the bivalency of IgG and Fc fusion proteins could cause undesired properties. We therefore engineered the conversion of the natural dimeric Fc domain to a highly soluble monomer by introducing two Asn-linked glycans onto the hydrophobic CH3-CH3 dimer interface. The monomeric Fc (monoFc) maintained the binding affinity for neonatal Fc receptor (FcRn) in a pH-dependent manner. We solved the crystal structure of monoFc, which explains how the carbohydrates can stabilize the protein surface and provides the rationale for molecular recognition between monoFc and FcRn. The monoFc prolonged the in vivo half-life of an antibody Fab domain, and a tandem repeat of the monoFc further prolonged the half-life. This monoFc modality can be used to improve the pharmacokinetics of monomeric therapeutic proteins with an option to modulate the degree of half-life extension.

Стилі APA, Harvard, Vancouver, ISO та ін.

37

Ma, Qinhong, Mark S. Johnson, and Barry L. Taylor. "Genetic Analysis of the HAMP Domain of the Aer Aerotaxis Sensor Localizes Flavin Adenine Dinucleotide-Binding Determinants to the AS-2 Helix." Journal of Bacteriology 187, no. 1 (January 1, 2005): 193–201. http://dx.doi.org/10.1128/jb.187.1.193-201.2005.

Повний текст джерела

Анотація:

ABSTRACT HAMP domains are signal transduction domains typically located between the membrane anchor and cytoplasmic signaling domain of the proteins in which they occur. The prototypical structure consists of two helical amphipathic sequences (AS-1 and AS-2) connected by a region of undetermined structure. The Escherichia coli aerotaxis receptor, Aer, has a HAMP domain and a PAS domain with a flavin adenine dinucleotide (FAD) cofactor that senses the intracellular energy level. Previous studies reported mutations in the HAMP domain that abolished FAD binding to the PAS domain. In this study, using random and site-directed mutagenesis, we identified the distal helix, AS-2, as the component of the HAMP domain that stabilizes FAD binding. AS-2 in Aer is not amphipathic and is predicted to be buried. Mutations in the sequence coding for the contiguous proximal signaling domain altered signaling by Aer but did not affect FAD binding. The V264M residue replacement in this region resulted in an inverted response in which E. coli cells expressing the mutant Aer protein were repelled by oxygen. Bioinformatics analysis of aligned HAMP domains indicated that the proximal signaling domain is conserved in other HAMP domains that are not involved in chemotaxis or aerotaxis. Only one null mutation was found in the coding sequence for the HAMP AS-1 and connector regions, suggesting that these are not active signal transduction sites. We consider a model in which the signal from FAD is transmitted across a PAS-HAMP interface to AS-2 or the proximal signaling domain.

Стилі APA, Harvard, Vancouver, ISO та ін.

38

Temirbekov, Almas, Arshyn Altybay, Laura Temirbekovа, and Syrym Kasenov. "Development of parallel implementation for the Navier-Stokes equation in doubly connected areas using the fictitious domain method." Eastern-European Journal of Enterprise Technologies 2, no. 4 (116) (April 28, 2022): 38–46. http://dx.doi.org/10.15587/1729-4061.2022.254261.

Повний текст джерела

Анотація:

This paper presents a numerical realization of the Navier-Stokes equations in irregular domains using the fictitious domain method with a continuation along with the lowest coefficient. To solve numerous connected issues in irregular regions, the fictitious domain method is broadly used. The advantage of the fictitious domain method is that the problem is solved not in the original complex domain, but in a few other, easier domains. Using the method, computation is done easily for a sufficiently wide class of problems with arbitrary computational domains. The problem is solved using two methods. The primary method is based on the development of a distinct issue in variables of the stream function and the vortex velocity using the pressure uniqueness condition. The second method is to understand the expressed issue by the fictitious domain method with a continuation by lower coefficients. Using the fictitious domain method, a computational algorithm is constructed based on the explicit finite difference schemes. The finite difference scheme is stable and has high computational accuracy and it gives the possibility to parallelize. Temperature distributions and stream functions are presented as numerical results. A parallel algorithm has been developed using Open Multi-Processing (hereinafter OpenMP) and Message Passing Interface (hereinafter MPI) technologies. Within the parallel approach, we used OpenMP technology for parallel calculation of vorticity and stream work, and for calculating temperature we applied MPI technology. The performance analysis on our parallel code shows favorable strong and weak scalability. The test results show that the code running in the parallel approach gives the expected results by comparing our results with those obtained while running the same simulation on the central processing unit (CPU)

Стилі APA, Harvard, Vancouver, ISO та ін.

39

Wu, Yang, Junli Zhang, Shuang Ding, and Yan-Cheng Liu. "Localized Boundary Knot Method for Solving Two-Dimensional Inverse Cauchy Problems." Mathematics 10, no. 8 (April 15, 2022): 1324. http://dx.doi.org/10.3390/math10081324.

Повний текст джерела

Анотація:

In this paper, a localized boundary knot method is adopted to solve two-dimensional inverse Cauchy problems, which are controlled by a second-order linear differential equation. The localized boundary knot method is a numerical method based on the local concept of the localization method of the fundamental solution. The approach is formed by combining the classical boundary knot method with the localization method. It has the potential to solve many complex engineering problems. Generally, in an inverse Cauchy problem, there are no boundary conditions in specific boundaries. Additionally, in order to be close to the actual engineering situation, a certain level of noise is added to the known boundary conditions to simulate the measurement error. The localized boundary knot method can be used to solve two-dimensional Cauchy problems more stably and is truly free from mesh and numerical quadrature. In this paper, the stability of the method is verified by using multi-connected domain and simply connected domain examples in Laplace equations.

Стилі APA, Harvard, Vancouver, ISO та ін.

40

Coron, Jean-Michel. "On the Null Asymptotic Stabilization of the Two-Dimensional Incompressible Euler Equations in a Simply Connected Domain." SIAM Journal on Control and Optimization 37, no. 6 (January 1999): 1874–96. http://dx.doi.org/10.1137/s036301299834140x.

Повний текст джерела

Стилі APA, Harvard, Vancouver, ISO та ін.

41

Tung, Jung-Yu, Margaret Dah-Tsyr Chang, Wei-I. Chou, Yen-Yi Liu, Yi-Hung Yeh, Fan-Yu Chang, Shu-Chuan Lin, Zhen-Liang Qiu, and Yuh-Ju Sun. "Crystal structures of the starch-binding domain from Rhizopus oryzae glucoamylase reveal a polysaccharide-binding path." Biochemical Journal 416, no. 1 (October 28, 2008): 27–36. http://dx.doi.org/10.1042/bj20080580.

Повний текст джерела

Анотація:

GA (glucoamylase) hydrolyses starch and polysaccharides to β-D-glucose. RoGA (Rhizopus oryzae GA) consists of two functional domains, an N-terminal SBD (starch-binding domain) and a C-terminal catalytic domain, which are connected by an O-glycosylated linker. In the present study, the crystal structures of the SBD from RoGA (RoGACBM21) and the complexes with β-cyclodextrin (SBD–βCD) and maltoheptaose (SBD–G7) were determined. Two carbohydrate binding sites, I (Trp47) and II (Tyr32), were resolved and their binding was co-operative. Besides the hydrophobic interaction, two unique polyN loops comprising consecutive asparagine residues also participate in the sugar binding. A conformational change in Tyr32 was observed between unliganded and liganded SBDs. To elucidate the mechanism of polysaccharide binding, a number of mutants were constructed and characterized by a quantitative binding isotherm and Scatchard analysis. A possible binding path for long-chain polysaccharides in RoGACBM21 was proposed.

Стилі APA, Harvard, Vancouver, ISO та ін.

42

Aru, Juhan, Avelio Sepúlveda, and Wendelin Werner. "ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD." Journal of the Institute of Mathematics of Jussieu 18, no. 3 (April 27, 2017): 591–618. http://dx.doi.org/10.1017/s1474748017000160.

Повний текст джерела

Анотація:

We study certain classes of local sets of the two-dimensional Gaussian free field (GFF) in a simply connected domain, and their relation to the conformal loop ensemble$\text{CLE}_{4}$and its variants. More specifically, we consider bounded-type thin local sets (BTLS), where thin means that the local set is small in size, and bounded type means that the harmonic function describing the mean value of the field away from the local set is bounded by some deterministic constant. We show that a local set is a BTLS if and only if it is contained in some nested version of the$\text{CLE}_{4}$carpet, and prove that all BTLS are necessarily connected to the boundary of the domain. We also construct all possible BTLS for which the corresponding harmonic function takes only two prescribed values and show that all these sets (and this includes the case of$\text{CLE}_{4}$) are in fact measurable functions of the GFF.

Стилі APA, Harvard, Vancouver, ISO та ін.

43

Georgieva, Dessislava, Kerstin Greunke, Raghuvir K. Arni, and Christian Betzel. "Three-Dimensional Modelling of Honeybee Venom Allergenic Proteases: Relation to Allergenicity." Zeitschrift für Naturforschung C 66, no. 5-6 (June 1, 2011): 305–12. http://dx.doi.org/10.1515/znc-2011-5-615.

Повний текст джерела

Анотація:

Api SI and Api SII are serine proteases of the honeybee venom containing allergenic determinants. Each protease consists of two structural modules: an N-terminal CUB (Api SI) or a clip domain (Api SII) and a C-terminal serine protease-like (SPL) domain. Both domains are connected with a linker peptide. The knowledge about the structure and function of Api SI and Api SII is limited mainly to their amino acid sequences. We constructed 3-D models of the two proteases using their amino acid sequences and crystallographic coordinates of related proteins. The models of the SPL domains were built using the structure of the prophenoloxidase-activating factor (PPAF)-II as a template. For modelling of the Api SI CUB domain the coordinates of porcine spermadhesin PSP-I were used. The models revealed the catalytic and substrate-binding sites and the negatively charged residue responsible for the trypsin-like activity. IgE-binding and antigenic sites in the two allergens were predicted using the models and programs based on the structure of known epitopes. Api SI and Api SII show structural and functional similarity to the members of the PPAF-II family. Most probably, they are part of the defence system of Apis mellifera

Стилі APA, Harvard, Vancouver, ISO та ін.

44

El-shenawy, Atallah, and Elena A. Shirokova. "The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains." Advances in Mathematical Physics 2018 (July 9, 2018): 1–6. http://dx.doi.org/10.1155/2018/6951513.

Повний текст джерела

Анотація:

We propose a new method for constructing an approximate solution of the two-dimensional Laplace equation in an arbitrary doubly connected domain with smooth boundaries for Dirichlet boundary conditions. Using the fact that the solution of the Dirichlet problem in a doubly connected domain is represented as the sum of a solution of the Schwarz problem and a logarithmic function, we reduce the solution of the Schwartz problem to the Fredholm integral equation with respect to the boundary value of the conjugate harmonic function. The solution of the integral equation in its turn is reduced to solving a linear system with respect to the Fourier coefficients of the truncated expansion of the boundary value of the conjugate harmonic function. The unknown coefficient of the logarithmic component of the solution of the Dirichlet problem is determined from the following fact. The Cauchy integral over the boundary of the domain with a density that is the boundary value of the analytical in this domain function vanishes at points outside the domain. The resulting solution of the Dirichlet problem is the sum of the real part of the Cauchy integral in the given domain and the logarithmic function. In order to avoid singularities of the Cauchy integral at points near the boundary, the solution at these points is replaced by a linear function. The resulting numerical solution is continuous in the domain up to the boundaries. Three examples of the solution of the Dirichlet problem are given: one example demonstrates the solution with constant boundary conditions in the domain with a complicated boundary; the other examples provide a comparison of the approximate solution with the known exact solution in a noncircular domain.

Стилі APA, Harvard, Vancouver, ISO та ін.

45

Yang, Pengpeng. "Dual-Domain Fusion Convolutional Neural Network for Contrast Enhancement Forensics." Entropy 23, no. 10 (October 9, 2021): 1318. http://dx.doi.org/10.3390/e23101318.

Повний текст джерела

Анотація:

Contrast enhancement forensics techniques have always been of great interest for the image forensics community, as they can be an effective tool for recovering image history and identifying tampered images. Although several contrast enhancement forensic algorithms have been proposed, their accuracy and robustness against some kinds of processing are still unsatisfactory. In order to attenuate such deficiency, in this paper, we propose a new framework based on dual-domain fusion convolutional neural network to fuse the features of pixel and histogram domains for contrast enhancement forensics. Specifically, we first present a pixel-domain convolutional neural network to automatically capture the patterns of contrast-enhanced images in the pixel domain. Then, we present a histogram-domain convolutional neural network to extract the features in the histogram domain. The feature representations of pixel and histogram domains are fused and fed into two fully connected layers for the classification of contrast-enhanced images. Experimental results show that the proposed method achieves better performance and is robust against pre-JPEG compression and antiforensics attacks, obtaining over 99% detection accuracy for JPEG-compressed images with different QFs and antiforensics attack. In addition, a strategy for performance improvements of CNN-based forensics is explored, which could provide guidance for the design of CNN-based forensics tools.

Стилі APA, Harvard, Vancouver, ISO та ін.

46

Briganti, Giovanni, and Paul Linkowski. "Network Approach to Items and Domains From the Toronto Alexithymia Scale." Psychological Reports 123, no. 5 (November 21, 2019): 2038–52. http://dx.doi.org/10.1177/0033294119889586.

Повний текст джерела

Анотація:

The aim of this study is to explore network structures of the Toronto Alexithymia Scale in a large sample of 1925 French-speaking Belgian university students and compare results with previous studies from different samples and tools to identify potential targets for clinical intervention. We estimated network models for the 20 items of the Toronto Alexithymia Scale and for its three domains difficulty identifying feelings, difficulty describing feelings, and externally oriented thinking. We explored item connectivity through node predictability (shared variance with other network components). We performed an exploratory graph analysis to explore the dimensionality of our data set and compare results with the original three-factor model; because a different model was proposed, we estimated an additional network structure on the new structure. Items from the Toronto Alexithymia Scale connect both within and between domains. The three-domain network identifies difficulty describing feelings as the most connected domain. The exploratory graph analysis reported that three items from externally oriented thinking form a new domain, distraction. In the new four-domain network, difficulty describing feelings remains the most interconnected domain; however, two negative connections are found. Our findings support the relative importance of identifying and describing feelings as a meaningful target for intervention.

Стилі APA, Harvard, Vancouver, ISO та ін.

47

Devan, Senthil-Kumar, Stephan Schott-Verdugo, Kira Müntjes, Lilli Bismar, Jens Reiners, Eymen Hachani, Lutz Schmitt, et al. "A MademoiseLLE domain binding platform links the key RNA transporter to endosomes." PLOS Genetics 18, no. 6 (June 21, 2022): e1010269. http://dx.doi.org/10.1371/journal.pgen.1010269.

Повний текст джерела

Анотація:

Spatiotemporal expression can be achieved by transport and translation of mRNAs at defined subcellular sites. An emerging mechanism mediating mRNA trafficking is microtubule-dependent co-transport on shuttling endosomes. Although progress has been made in identifying various components of the endosomal mRNA transport machinery, a mechanistic understanding of how these RNA-binding proteins are connected to endosomes is still lacking. Here, we demonstrate that a flexible MademoiseLLE (MLLE) domain platform within RNA-binding protein Rrm4 of Ustilago maydis is crucial for endosomal attachment. Our structure/function analysis uncovered three MLLE domains at the C-terminus of Rrm4 with a functionally defined hierarchy. MLLE3 recognises two PAM2-like sequences of the adaptor protein Upa1 and is essential for endosomal shuttling of Rrm4. MLLE1 and MLLE2 are most likely accessory domains exhibiting a variable binding mode for interaction with currently unknown partners. Thus, endosomal attachment of the mRNA transporter is orchestrated by a sophisticated MLLE domain binding platform.

Стилі APA, Harvard, Vancouver, ISO та ін.

48

Zhang, Caihong, Yinuo Huang, Licheng Wang, Chongxiong Duan, Tiezhu Zhang, and Kai Wang. "Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping." Mathematical Problems in Engineering 2020 (May 6, 2020): 1–9. http://dx.doi.org/10.1155/2020/7169526.

Повний текст джерела

Анотація:

In this paper, the stability of two weakly coupled elastic beams connected vertically by a spring is investigated via the frequency domain method and the multiplier technique. When the two beams have partially local damping, the operator A is obtained via variable conversion, and it generating a semigroup is proved, then we obtain that the semigroup is exponentially stable by reduction to absurdity.

Стилі APA, Harvard, Vancouver, ISO та ін.

49

Kinj, Ahmed. "Approximation by Rational Functions in Variable Exponent Morrey–Smirnov Classes." Journal of Mathematics 2022 (January 21, 2022): 1–7. http://dx.doi.org/10.1155/2022/7200777.

Повний текст джерела

Анотація:

In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.

Стилі APA, Harvard, Vancouver, ISO та ін.

50

Lu, Jun, Lianpeng Shi, Chein-Shan Liu, and C. S. Chen. "Solving Inverse Conductivity Problems in Doubly Connected Domains by the Homogenization Functions of Two Parameters." Mathematics 10, no. 13 (June 27, 2022): 2256. http://dx.doi.org/10.3390/math10132256.

Повний текст джерела

Анотація:

In the paper, we make the first attempt to derive a family of two-parameter homogenization functions in the doubly connected domain, which is then applied as the bases of trial solutions for the inverse conductivity problems. The expansion coefficients are obtained by imposing an extra boundary condition on the inner boundary, which results in a linear system for the interpolation of the solution in a weighted Sobolev space. Then, we retrieve the spatial- or temperature-dependent conductivity function by solving a linear system, which is obtained from the collocation method applied to the nonlinear elliptic equation after inserting the solution. Although the required data are quite economical, very accurate solutions of the space-dependent and temperature-dependent conductivity functions, the Robin coefficient function and also the source function are available. It is significant that the nonlinear inverse problems can be solved directly without iterations and solving nonlinear equations. The proposed method can achieve accurate results with high efficiency even for large noise being imposed on the input data.

Стилі APA, Harvard, Vancouver, ISO та ін.

Статті в журналах з теми "Two-Connected Domain"

Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями