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Artículos de revistas sobre el tema "Geometry of L form"

Autor: Grafiati

Publicado: 4 de junio de 2021

Última modificación: 4 de febrero de 2022

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1

Jovic, Biljana, Milos Tripkovic, and Aleksandar Cucakovic. "Geometric correlation of cultural landscape patterns and Prunus domestica L. species leaf." Bulletin of the Faculty of Forestry, no. 104 (2011): 29–40. http://dx.doi.org/10.2298/gsf1104029j.

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This paper provides the basics for more detailed research on the structures of bionic forms of different plant species and their application in the domain of landscape planning. The aim of this type of research is to expand knowledge of landscape planning with a deeper understanding of different geometric relations present in the existing natural forms. The correlation between structures in nature and structures that are present in contemporary landscape architecture could be established by the congruence with the geometric models from landscape. This paper is focused solely on the geometry of

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2

Aino, Masayuki. "Lichnerowicz-Obata Estimate, Almost Parallel p-form and Almost Product Manifolds." Journal of Geometric Analysis 31, no. 11 (2021): 10915–1001. http://dx.doi.org/10.1007/s12220-021-00670-9.

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AbstractWe show a Lichnerowicz-Obata type estimate for the first eigenvalue of the Laplacian of n-dimensional closed Riemannian manifolds with an almost parallel p-form ($$2\le p \le n/2$$ 2 ≤ p ≤ n / 2 ) in $$L^2$$ L 2 -sense, and give a Gromov-Hausdorff approximation to a product $$S^{n-p}\times X$$ S n - p × X under some pinching conditions when $$2\le p<n/2$$ 2 ≤ p < n / 2 .

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3

HWANG, DAE SUNG, та TAEHOON LEE. "GAUGED SU(2)L×SU(2)R/SU(2)L+Rσ MODEL IN THE FRAMEWORK OF NONCOMMUTATIVE GEOMETRY". International Journal of Modern Physics A 09, № 31 (1994): 5531–39. http://dx.doi.org/10.1142/s0217751x94002259.

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We study the gauged SU(2) L× SU(2) Rσ model in the SU(2|2) superalgebra formalism. The superconnection is taken to have one-form vector fields as its even part and zero-form scalar fields as its odd part. Incorporating the matrix derivative of noncommutative geometry proposed by Connes and Coquereaux et al., we naturally obtain the spontaneously symmetry broken SU(2) L× SU(2) Rσ model. The masses of the axial vector gauge fields and the Higgs fields are obtained.

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4

Vaisman, Izu. "Locally conformal symplectic manifolds." International Journal of Mathematics and Mathematical Sciences 8, no. 3 (1985): 521–36. http://dx.doi.org/10.1155/s0161171285000564.

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A locally conformal symplectic (l. c. s.) manifold is a pair(M2n,Ω)whereM2n(n>1)is a connected differentiable manifold, andΩa nondegenerate2-form onMsuch thatM=⋃αUα(Uα- open subsets).Ω/Uα=eσαΩα,σα:Uα→ℝ,dΩα=0. Equivalently,dΩ=ω∧Ωfor some closed1-formω. L. c. s. manifolds can be seen as generalized phase spaces of Hamiltonian dynamical systems since the form of the Hamilton equations is, in fact, preserved by homothetic canonical transformations. The paper discusses first Hamiltonian vector fields, and infinitesimal automorphisms (i. a.) on l. c. s. manifolds. If(M,Ω)has an i. a.Xsuch thatω(X

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5

Costes, Evelyne, Colin Smith, Michael Renton, Yann Guédon, Przemyslaw Prusinkiewicz, and Christophe Godin. "MAppleT: simulation of apple tree development using mixed stochastic and biomechanical models." Functional Plant Biology 35, no. 10 (2008): 936. http://dx.doi.org/10.1071/fp08081.

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Construction of tree architectural databases over years is time consuming and cannot easily capture event dynamics, especially when both tree topology and geometry are considered. The present project aimed to bring together models of topology and geometry in a single simulation such that the architecture of an apple tree may emerge from process interactions. This integration was performed using L-systems. A mixed approach was developed based on stochastic models to simulate plant topology and mechanistic model for the geometry. The succession of growth units (GUs) along axes and their branchin

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6

MAZZUCATO, ANNA L., and VICTOR NISTOR. "MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS." Journal of Hyperbolic Differential Equations 03, no. 04 (2006): 599–629. http://dx.doi.org/10.1142/s0219891606000938.

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Let [Formula: see text] be a second order, uniformly elliptic, positive semi-definite differential operator on a complete Riemannian manifold of bounded geometry M, acting between sections of a vector bundle with bounded geometry E over M. We assume that the coefficients of L are uniformly bounded. Using finite speed of propagation for L, we investigate properties of operators of the form [Formula: see text]. In particular, we establish results on the distribution kernels and mapping properties of e-tLand (μ + L)s. We show that L generates a holomorphic semigroup that has the usual mapping pro

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7

Toro, Tatiana. "Surfaces with generalized second fundamental form in $L^2$ are Lipschitz manifolds." Journal of Differential Geometry 39, no. 1 (1994): 65–101. http://dx.doi.org/10.4310/jdg/1214454677.

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8

Dupraz, Ch, F. Combes, and J. L. Prieur. "Shells around Tumbling Bars: The Mass Distribution Around NGC 3923." Symposium - International Astronomical Union 127 (1987): 469–70. http://dx.doi.org/10.1017/s007418090018578x.

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In previous articles (Dupraz & Combes, 1985, 1986a), we showed that shells form with different geometries around prolate and oblate galaxies. However, theory and observations suggest that some ellipticals could be tumbling bars (Miller & Smith 1980; Müllenhoff & Marenbach 1986). Here we simulate the accretion of a small galaxy by a tumbling bar; the tumble period T& is kept free. Let Tp be the typical period of motion of a particle in the potential of the elliptical galaxy. Then we find (Dupraz & Combes, 1986b):a) When Tt > 3TP (Figure l a), shells form with the geometry

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9

Chuan Ch’ng, Kia, Dmitriy Anatolevich Teryaev, Junior Sarjit Singh Sidhu, and Yu Kok Hwa. "The Impact of Streamwise Steps and Cavities Geometry on Supersonic Turbulent Boundary Layer." CFD Letters 12, no. 11 (2020): 14–26. http://dx.doi.org/10.37934/cfdl.12.11.1426.

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In some cases, the nozzle of a rocket engine could deform during manufacturing or testing, flare up and distort during operation in such a way that periodically repeating structures of depressions and protrusions form on the wall surface. Complex configurations of roughness topologies have been experimentally observed to form due to this fluid-structure interaction and have been known to distort the boundary layer and increase local drag and heat transfer. A numerical experiment was carried out using ANSYS FLUENT to assess the effects of geometry (streamwise wavelengths ? and length-to-depth r

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10

Stebletsova, Vera, and Yde Venema. "Undecidable theories of Lyndon algebras." Journal of Symbolic Logic 66, no. 1 (2001): 207–24. http://dx.doi.org/10.2307/2694918.

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AbstractWith each projective geometry we can associate a Lyndon algebra. Such an algebra always satisfies Tarski's axioms for relation algebras and Lyndon algebras thus form an interesting connection between the fields of projective geometry and algebraic logic. In this paper we prove that if G is a class of projective geometries which contains an infinite projective geometry of dimension at least three, then the class L(G) of Lyndon algebras associated with projective geometries in G has an undecidable equational theory. In our proof we develop and use a connection between projective geometri

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11

Barton, Richard J., Sushil K. Manocha, Beverly E. Robertson, and Lynn M. Mihichuk. "Synthesis, spectroscopy, and structures of the seven-coordinate complexes (CH3)2AsC(CF3)== C(CF3)As(CH3)2W(CO)2I2P(OC6H5)3 and [(CH3)2AsC(CF3)== C(CF3)As(CH3)2]2W(CO)Br2 and spectroscopy of related seven-coordinate complexes." Canadian Journal of Chemistry 76, no. 3 (1998): 245–53. http://dx.doi.org/10.1139/v98-008.

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(L-L)W(CO)3I2 (L-L = (CH3)2AsC(CF3)== C(CF3)As(CH3)2) reacts with the monodentate phosphite P(OC6H5)3 and (L-L)W(CO)3Br2 reacts with L-L to form new seven-coordinate complexes (L-L)W(CO)2I2P(OC6H5)3 and (L-L)2W(CO)Br2. Low-temperature X-ray diffraction analyses show the tungsten atom to be seven coordinate in both complexes, with the geometry most closely approximated by a monocapped octahedral environment, the capping group being a carbonyl in the dicarbonyl complex; the geometry is most closely approximated by a pentagonal bipyramidal environment in the monocarbonyl complex. The 1H, 13C, and

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12

Xu, Hai-Yun, Xia Qin, Yi-Zhi Li, Noboru Ono, and Zhen Shen. "(1,4:8,11:15,18:22,25-Tetraethanotetrabenzo[b,g,l,q]porphyrinato)nickel(II) chloroform disolvate." Acta Crystallographica Section E Structure Reports Online 62, no. 4 (2006): m770—m772. http://dx.doi.org/10.1107/s1600536806007896.

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In the title compound, [Ni(C44H36N4)]·2CHCl3, the porphyrin macrocycle adopts a ruffle conformation. The NiII atom is coordinated by four N atoms of the porphyrin in a slightly distorted square-planar geometry. The bicyclic groups show disorder of the single and double bonds. The porphyrin planes form two columnar arrays along the b-axis direction through π–π stacking interactions.

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13

Wilson, L., Arunn Narasimhan, and S. P. Venkateshan. "Turbulent Flow Hydrodynamic Experiments in Near-Compact Heat Exchanger Models With Aligned Tubes." Journal of Fluids Engineering 126, no. 6 (2004): 990–96. http://dx.doi.org/10.1115/1.1845553.

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Hydrodynamic experiments measuring longitudinal pressure-drop versus flow rate are conducted for turbulent flow of air (channel hydraulic diameter based Reynolds number range of 2300 to 6860) through near-compact heat exchanger models with rod bundles having aligned (inline) arrangement. Effects of the flow (Re), the geometry parameters, and number of rods of the test models on the nondimensional pressure-drop ξ are studied in detail. Treating the near compact heat exchanger model as a porous medium, a dimensional pressure-drop ΔP/L versus average velocity of flow (U) model similar in content

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14

Etse, G., and S. M. Vrech. "Geometry Method for Localization Analysis in Gradient-Dependent J2 Plasticity." Journal of Applied Mechanics 73, no. 6 (2006): 1026–30. http://dx.doi.org/10.1115/1.2202348.

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In this work the geometrical method for the assessment of discontinuous bifurcation conditions is extended to encompass gradient-dependent plasticity. To this end, the gradient-dependent localization condition is cast in the form of an elliptical envelope condition in the coordinates of Mohr. The results in this work demonstrate the capability of thermodynamically consistent gradient-dependent elastoplastic model formulations to suppress the localized failure modes of the classical plasticity that take place when the hardening/softening modulus H¯ equals the critical value for localization H¯c

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15

Grabócz, Márta. "The Influence of Scientific Theories on Musical Form in Contemporary Instrumental and Electroacoustic Works." Studia Musicologica 60, no. 1-4 (2020): 129–46. http://dx.doi.org/10.1556/6.2019.00007.

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This article highlights the contradiction between theories of form in musicology (originating in the mechanistic and organicist definitions of the eighteenth and nineteenth centuries), and new forms created by contemporary composers since circa 1970. The initial discussion introduces various “traditional” definitions of form in aesthetics, semiotics and musicology. Following this, a critique of the mechanistic approach, drawing on the work of André Souris, is presented. The third part discusses some recent scientific theories which composers have drawn from. The remainder of the article provid

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16

McMahon, Christopher, A. J. Achkar, E. H. da Silva Neto, et al. "Orbital symmetries of charge density wave order in YBa2Cu3O6+x." Science Advances 6, no. 45 (2020): eaay0345. http://dx.doi.org/10.1126/sciadv.aay0345.

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Charge density wave (CDW) order has been shown to compete and coexist with superconductivity in underdoped cuprates. Theoretical proposals for the CDW order include an unconventional d-symmetry form factor CDW, evidence for which has emerged from measurements, including resonant soft x-ray scattering (RSXS) in YBa2Cu3O6+x (YBCO). Here, we revisit RSXS measurements of the CDW symmetry in YBCO, using a variation in the measurement geometry to provide enhanced sensitivity to orbital symmetry. We show that the (0 0.31 L) CDW peak measured at the Cu L edge is dominated by an s form factor rather th

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17

Bak, Anthony, and Masaharu Morimoto. "Equivariant Intersection Theory and Surgery Theory for Manifolds with Middle Dimensional Singular Sets." Journal of K-theory 2, no. 3 (2008): 507–600. http://dx.doi.org/10.1017/is008001011jkt032.

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AbstractLet G denote a finite group and n = 2k 6 an even integer. Let X denote a simply connected, compact, oriented, smooth G-manifold of dimension n. Let L denote a union of connected, compact, neat submanifolds in X of dimension k. We invoke the hypothesis that L is a G-subcomplex of a G-equivariant smooth triangulation of X and contains the singular set of the action of G on X. If the dimension of the G-singular set is also k then the ordinary equivariant self-intersection form is not well defined, although the equivariant intersection form is well defined. The first goal of the paper is t

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18

CULETU, H. "GEODESIC DEVIATION IN THE BLACK STRING SPACETIME." International Journal of Modern Physics D 10, no. 06 (2001): 791–97. http://dx.doi.org/10.1142/s0218271801001797.

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The equation of motion of test particles in the geometry of a black string trapped on a domain wall embedded in a five-dimensional AdS spacetime is studied. With an inversion transformation on the fifth coordinate "w," we obtain a simple form of the geodesics and the geodesics deviation. The equations for the separation vector ξα between two nearby geodesics are found, with ξ5(λ)=ξ(0)5 sin (λ/l), where l is the AdS radius, independent of the Schwarzschild potential U(r).

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19

Poggioli, Anthony R., and Alexander R. Horner-Devine. "The Sensitivity of Salt Wedge Estuaries to Channel Geometry." Journal of Physical Oceanography 45, no. 12 (2015): 3169–83. http://dx.doi.org/10.1175/jpo-d-14-0218.1.

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AbstractThe authors develop a two-layer hydraulic model to determine the saline intrusion length in sloped and converging salt wedge estuaries. They find that the nondimensional intrusion length = CiL/hS depends significantly on the channel bottom slope and the rate and magnitude of landward width convergence, in addition to the freshwater Froude number. In the definition of , Ci is a quadratic interfacial drag coefficient, L is the salt wedge intrusion length, and hS is the depth at the mouth of the estuary. Bottom slope is found to limit the saline intrusion length, and this limitation accou

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20

K. Yassin, Sara, Jasim M. S. Alshawi, and Zainab A. Mohammedsalih. "Novel N2O2 Schiff base derived from 1,2-Hydrazinedicarboximidamide and its complexes with Cu(II), Co(II), Ni(II), Mn(II) and Cr(III): Synthesis and characterization." Oriental Journal Of Chemistry 36, no. 05 (2020): 940–45. http://dx.doi.org/10.13005/ojc/360520.

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The synthesis of a (1,2-Hydrazinedicarboximidamide) was identified in this paper and condensing it with 2-4dihydroxybenzaldehyde to form tetradentate ligand (L). This ligand used to prepare five metal complexes as chloride salts [Cu2(L)Cl2](1), [Co2(L)Cl2](2), [Ni2(L)Cl2](3), [Mn2(L)Cl2](4) and [Cr2(L)Cl2](5) in an ethanolic medium. Dimethyl formamide (DMF) prepared complexes solutions to applied it as electrolytes. The structures were confirmed by several spectroscopic and analytical techniques indicating that metal complexes are more likely to have tetrahedral-coordinated geometry. Thus, the

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21

Abrahams, Brendan F., Robert W. Elliott, and Richard Robson. "Coordination Polymers Constructed from TCNQ2– Anions and Chelating Ligands." Australian Journal of Chemistry 67, no. 12 (2014): 1871. http://dx.doi.org/10.1071/ch14414.

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Coordination polymers containing tetracyanoquinodimethane (TCNQ) in its dianionic form, TCNQ–II, have been formed by combining the acid form of the dianion, TCNQH2, with divalent metal centres in the presence of chelating ligands such as 2,2′-bipyridine (bipy) and 1,10-phenanthroline (phen). When MnII or CdII is employed, two-dimensional (2D) corrugated sheet structures with the formula MII(TCNQ–II)L (M = Mn, Cd; L = bipy, phen) are obtained. In contrast, when CoII is used as the metal centre a complex three-dimensional (3D) structure of composition [CoII(TCNQ–II)(phen)] is formed. Despite the

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22

Yavari, Morteza, S. Beyramabadi, Ali Morsali, and Mohammad Bozorgmehr. "(E)-4-(((2-amino-5-chlorophenyl)imino)methyl)-5-(hydroxy-methyl)-2-methylpyridin-3-ol and its Cu(II) complex: Synthesis, DFT calculations and AIM analysis." Journal of the Serbian Chemical Society 85, no. 8 (2020): 1033–46. http://dx.doi.org/10.2298/jsc191010022y.

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Herein, (E)-4-{[(2-amino-5-chlorophenyl)imino]methyl}-5-(hydroxymethyl)- 2-methylpyridin-3-ol [HL] Schiff base and its [Cu(L)Cl] complex were newly synthesized and characterized by several spectroscopic methods. In addition, density functional theory (DFT) methods were used for investigation of the tautomerization of the HL Schiff base, structural parameters of HL and [Cu(L)Cl] species, assignment of the IR vibrational bands and the NMR chemical shifts as well as natural bond orbital (NBO) analyses. The most stable tautomer of the HL Schiff base is the enol form of the meta isomer. The optimiz

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23

Signorella, Sandra, Claudia Palopoli, Alejandro Frutos, Graciela Escandar, Tomoaki Tanase, and Luis F. Sala. "3-Deoxy-D-erythro-hexos-2-ulose bis(thiosemicarbazone) copper(II) chelate. Studies in solution and in the solid state." Canadian Journal of Chemistry 77, no. 9 (1999): 1492–97. http://dx.doi.org/10.1139/v99-165.

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The 3-deoxy-D-erythro-hexos-2-ulose bis(thiosemicarbazone) (LH2) acts as a tetradentate ligand with S2N2 donor sites to form a copper(II) chelate (Cu(II)L). The Cu K-edge X-ray absorption spectra analysis of a powdered sample revealed a square-planar S2N2 local coordination geometry with average CuN and CuS distances of 1.92 and 2.33 Å. The EXAFS and XANES spectra and the structural parameters of a DMF solution sample indicate the retention of the square-planar local structure of the Cu(II)S2N2 chromophore upon dissolution. Semiempirical PM3 calculations indicate that the structure of Cu(II)

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24

Che, Guang-Bo. "A new dinuclear ZnII compound with a 1,4-benzenedicarboxylate bridge." Acta Crystallographica Section E Structure Reports Online 62, no. 7 (2006): m1535—m1537. http://dx.doi.org/10.1107/s1600536806021246.

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In the compound μ2-1,4-benzenedicarboxylate-κ2 O,O′-bis{aquachloro[4-(1H-1,3,7,8-tetraazacyclopenta[l]phenanthren-2-yl)phenol-κ2 N,N′]zinc(II)} dihydrate, [Zn2Cl2(1,4-BDC)(L)2(H2O)2]·2H2O, where 1,4-BDC is the 1,4-benzenedicarboxylate dianion, C8H4O4 2−, and L is 4-(1H-1,3,7,8-tetraazacyclopenta[l]phenanthren-2-yl)phenol, C19H12N4O, the ZnII atom is five-coordinated by two N atoms from one L ligand, one Cl− ion, an O atom from a 1,4-BDC anion and one water molecule in an approximate trigonal–bipyramidal geometry. The complete 1,4-BDC ligand is generated by inversion symmetry; it bridges two Zn

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Rajalakshmi, P., N. Srinivasan, R. V. Krishnakumar, Ibrahim Abdul Razak, and Mohd Mustaqim Rosli. "Supramolecular architectures ofN-acetyl-L-proline monohydrate andN-benzyl-L-proline." Acta Crystallographica Section C Crystal Structure Communications 69, no. 11 (2013): 1390–96. http://dx.doi.org/10.1107/s010827011302581x.

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The title compounds,N-acetyl-L-proline monohydrate, C7H11NO3·H2O, (I), andN-benzyl-L-proline, C12H15NO2, (II), crystallize in the monoclinic space groupP21withZ′ = 1 andZ′ = 2, respectively. The conformation of Cγwith respect to the carboxylic acid group in (I) is Cγ-exoor UP pucker, with the pyrrolidine ring twisted, while in (II), it is Cγ-endoor DOWN, with the pyrrolidine ring assuming an envelope conformation. The crystal packing interactions in (I) are composed of two substructures, one characterized by anR66(24) motif through O—H...O hydrogen bonds and the other by anR44(23) ring through

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26

Wu, Xiang-Wen, Qing-Long Li, Jian-Ping Ma та Yu-Bin Dong. "cyclo-Tetrakis{μ-N′-[(8-oxidoquinolin-7-yl)methylidene]isonicotinohydrazidato}tetrazinc tetrahydrate". Acta Crystallographica Section E Structure Reports Online 68, № 6 (2012): m727—m728. http://dx.doi.org/10.1107/s1600536812018995.

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In the title compound, [Zn4(C16H10N4O2)4]·4H2O, the N′-[(8-oxidoquinolin-7-yl)methylidene]isonicotinohydrazidate (L 2−) ligand binds to the metal ions, forming stable five- and six-membered chelate rings, leaving the pyridyl groups free. The compound is a tetranuclear ZnII complex centered about a fourfold roto-inversion axis, with the ligand coordinating in the doubly deprotonated form. The ZnII atom has a distorted square-pyramidal geometry being coordinated by one N and two O-atom donors from the doubly deprotonated L 2− ligand, and by one N atom and one O-atom donor from a symmetry-related

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Sharma, Mousami, Anju Sharma, and Renu Sachar. "Synthesis and Characterization of the Adducts of Morpholinedithioccarbamate Complexes of Oxovanadium (IV), Nickel(II), and Copper(II) with Piperidine and Morpholine." E-Journal of Chemistry 9, no. 4 (2012): 1929–40. http://dx.doi.org/10.1155/2012/689501.

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A series of 1:1 adducts of bis(morpholinedithiocarbamato) complex of VO(IV), 1:1 and 1:2 adducts of bis(morpholinedithiocarbamato) complexes of Ni(II) and Cu(II) with piperidine and morpholine have been synthesized and characterized by elemental analysis, molar conductance, magnetic susceptibility, IR, UV-Vis, and TGA/DTA techniques. Analytical data reveals that VO(IV) complex forms only 1:1 adducts with the formula [VO(morphdtc)2L].H2O while Ni(II) and Cu(II) complexes form both 1:1 and 1:2 adducts with 1:1 adducts having general formula Ni(morphdtc)2.L and Cu(morphdtc)2.L and 1:2 adducts hav

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Wulandari, Eka Yuni, Kosala Dwidja Purnomo, and Ahmad Kamsyakawuni. "Development Design Labako Batik with Combine Fractal Geometry Dragon Curve and Tobacco Leaf Motif." Jurnal ILMU DASAR 18, no. 2 (2017): 125. http://dx.doi.org/10.19184/jid.v18i2.5650.

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Labako Batik is a typical batik Jember, derived from the term "La Bako" is the language of Madura that describes the activities of farmers to plant and process the leaves of tobacco. The resulting motives are inspired by the potential of natural resources in Jember such as tobacco, cocoa, dragon fruit, coffee, bamboo, birds and butterflies. The selection of tobacco leaf pattern because Jember Regency as one of the best tobacco producing cities in Indonesia, so that the form of tobacco leaf becomes the most dominant characteristic in making Batako Labako. In recent years the application of frac

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29

Zakki, Ahmad Fauzan, Deddy Chrismianto, Aulia Windyandari, and Rizaldy Ilham. "On the Development of Catamaran Hull Form for Fish Processing Vessel to Support Domestic Fishing Activities in Indonesia." Naše more 68, no. 3 (2021): 175–88. http://dx.doi.org/10.17818/nm/2021/3.5.

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Several advantages of multihull, such as catamaran, have been extensively discussed in the previous research. Therefore, this research focuses on developing a catamaran hull form for the fish processing vessel hull. The initial stage is determining the principal dimension and exploring the configurations of catamaran hull forms. The existing high-speed craft catamarans have been adopted to determine the parent model main dimensions using a linear regression equation model. Otherwise, the catamarans single demi-hull geometry was developed by converting and modifying the parent model hull form w

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Sathiskumar, S., T. Balakrishnan, K. Ramamurthi та S. Thamotharan. "Crystal structure ofcatena-poly[[cadmium(II)-di-μ2-bromido-μ2-L-proline-κ2O:O′] monohydrate]". Acta Crystallographica Section E Crystallographic Communications 71, № 2 (2015): 217–19. http://dx.doi.org/10.1107/s2056989015001176.

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In the title coordination polymer, {[CdBr2(C5H9NO2)]·H2O}n, the CdIIion is coordinated by four bromido ligands and two carboxylate oxygen atoms of two symmetry-related proline ligands, which exist in a zwitterionic form, in a distorted octahedral geometry. There is an intramolecular N—H...O hydrogen bond between the amino group and the carboxylate fragment. Each coordinating ligand bridges two CdIIatoms, thus forming polymeric chains running along thec-axis direction. The water molecules of crystallization serve as donors for the weak intermolecular O—H...O and O—H...Br hydrogen bonds that lin

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31

Yao, Jing Wen, Royston C. B. Copley, Judith A. K. Howard, Frank H. Allen, and W. D. Samuel Motherwell. "General method for the description, visualization and comparison of metal coordination spheres: geometrical preferences, deformations and interconversion pathways." Acta Crystallographica Section B Structural Science 57, no. 3 (2001): 251–60. http://dx.doi.org/10.1107/s0108768101004141.

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The coordination sphere geometry of metal atoms (M) in their complexes with organic and inorganic ligands (L) is often compared with the geometry of archetypal forms for the appropriate coordination number, n in MLn species, by use of the k = n( n− 1)/2 L—M—L valence angles subtended at the metal centre. Here, a Euclidean dissimilarity metric, Rc (x), is introduced as a one-dimensional comparator of these k-dimensional valence-angle spaces. The computational procedure for Rc (x), where x is an appropriate archetypal form (e.g. an octahedron in ML 6 species), takes account of the atomic permuta

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32

Kocak, Cagdas, Gorkem Oylumluoglu, Adem Donmez та ін. "Crystal structure and photoluminescence properties of a new monomeric copper(II) complex: bis(3-{[(3-hydroxypropyl)imino]methyl}-4-nitrophenolato-κ3 O,N,O′)copper(II)". Acta Crystallographica Section C Structural Chemistry 73, № 5 (2017): 414–19. http://dx.doi.org/10.1107/s2053229617005976.

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Copper(II)–Schiff base complexes have attracted extensive interest due to their structural, electronic, magnetic and luminescence properties. The title novel monomeric CuII complex, [Cu(C10H11N2O4)2], has been synthesized by the reaction of 3-{[(3-hydroxypropyl)imino]methyl}-4-nitrophenol (H2 L) and copper(II) acetate monohydrate in methanol, and was characterized by elemental analysis, UV and IR spectroscopies, single-crystal X-ray diffraction analysis and a photoluminescence study. The CuII atom is located on a centre of inversion and is coordinated by two imine N atoms, two phenoxy O atoms

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33

Zampogna, Giuseppe A., Jacques Magnaudet, and Alessandro Bottaro. "Generalized slip condition over rough surfaces." Journal of Fluid Mechanics 858 (November 6, 2018): 407–36. http://dx.doi.org/10.1017/jfm.2018.780.

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A macroscopic boundary condition to be used when a fluid flows over a rough surface is derived. It provides the slip velocity $\boldsymbol{u}_{S}$ on an equivalent (smooth) surface in the form $\boldsymbol{u}_{S}=\unicode[STIX]{x1D716}{\mathcal{L}}\boldsymbol{ : }{\mathcal{E}}$, where the dimensionless parameter $\unicode[STIX]{x1D716}$ is a measure of the roughness amplitude, ${\mathcal{E}}$ denotes the strain-rate tensor associated with the outer flow in the vicinity of the surface and ${\mathcal{L}}$ is a third-order slip tensor arising from the microscopic geometry characterizing the rough

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34

Bukusheva, A. "On geometry of Kenmotsu manifolds with N-connection." Differential Geometry of Manifolds of Figures, no. 50 (2019): 48–60. http://dx.doi.org/10.5922/0321-4796-2019-50-7.

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A Kenmotsu manifold with a given N-connection is considered. From the integrability of the distribution of a Kenmotsu manifold it follows that the N-connection belongs to the class of the quarter-symmetric connections. Among the N-connections, the class of connections adapted to the structure of the Kenmotsu manifold is specified. In particular, it is proved that an N-connection preserves the structure endomorphism φ of the Kenmotsu manifold if and only if the endomorphisms N and φ commute. A formula expressing the N-connection in terms of the Levi-Civita connection is obtained. The Chrystoffe

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35

Al-Wasidi, Asma S., Ahmed M. Naglah, Mohamed A. Al-Omar, et al. "Manganese (II), ferric (III), cobalt (II) and copper (II) thiosemicarbazone Schiff base complexes: Synthesis, spectroscopic, molecular docking and biological discussions." Materials Express 10, no. 2 (2020): 290–300. http://dx.doi.org/10.1166/mex.2020.1636.

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Mn(II), Fe(III), Co(II) and Cu(II) Schiff base complexes with general formula ML−2 .nH2O (where M is a respected metal ions and L−2 is the Schiff base). The Schiff base (L = TSCPA) was formed by the condensation of thiosemicarbazide and phthalic anhydride in acetic acid. The microanalytical analysis confirmed the 1:1 (metal: ligand) molar ratio. Magnetic susceptibility and electronic absorption spectra were suggested that the Fe(III) and Co(II) complexes were octahedral structure but the Mn(II) and Cu(II) complexes were tetrahedral geometry. FTIR spectra reveal that the ligand exists, predomin

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36

Krishnananda, Santosh Mirji, S. Ramesh Babu, K. M. Niranjana, and N. M. Badiger. "Measurement of anomalous scattering factors of tin using characteristic X-ray photons." Canadian Journal of Physics 93, no. 10 (2015): 1112–16. http://dx.doi.org/10.1139/cjp-2014-0684.

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The imaginary and real parts of anomalous scattering factors of Sn atoms around the K shell binding energy are measured using K and L X-ray photons. Gamma photons of energy 59.54 keV from an Am-241 radioactive source are used to excite K and L X-ray photons of various energies. By measuring the intensities of incident and transmitted X-ray photons in Sn foil with a good geometry arrangement, the K shell photoelectric cross sections are determined around the K shell binding energy of Sn. The real and imaginary parts of anomalous scattering factors of Sn are determined from K shell photoelectric

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37

Zeyrek, C. T., A. Elmali та Y. Elerman. "Synthesis and Crystal Structures of a New μ-Bis(tetradentate) Schiff Base Ligand and its Mononuclear Iron(III) Complex: Iron(III) Induced Imidazolidine Ring Hydrolysis of Binucleating Schiff Base Ligand". Zeitschrift für Naturforschung B 60, № 5 (2005): 520–26. http://dx.doi.org/10.1515/znb-2005-0507.

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The μ-bis(tetradentate) ligand, [C27H26Cl3N4O4], H3L′, 1,3-bis[N-(5-chloro-2-hydroxybenzylidene)- 2-aminoethyl]-2-(5-chloro-2-hydroxyphenyl)imidazolidine and its mononuclear iron(III) complex, [Fe(L)](ClO4), L = N, N′-bis(5-chloro-2-hydroxybenzylidene)-triethylenetetramine have been synthesized and their crystal structures determined. Minimum energy conformations of the ligand were calculated (MOPAC, AM1) as a function of two torsion angles and the results compared with optimized crystal structure. The ligand (H3L′) reacts with Fe(ClO4)2 · 6H2O in aqueous methanol to form the mononuclear [Fe(L

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38

Piccione, Paolo, and Daniel V. Tausk. "Lagrangian and Hamiltonian formalism for constrained variational problems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 132, no. 6 (2002): 1417–37. http://dx.doi.org/10.1017/s0308210500002183.

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We consider solutions of Lagrangian variational problems with linear constraints on the derivative. More precisely, given a smooth distribution D ⊂ TM on M and a time-dependent Lagrangian L defined on D, we consider an action functional L defined on the set ΩPQ(M, D) of horizontal curves in M connecting two fixed submanifolds P, Q ⊂ M. Under suitable assumptions, the set ΩPQ(M, D) has the structure of a smooth Banach manifold and we can thus study the critical points of L. If the Lagrangian L satisfies an appropriate hyper-regularity condition, we associate to it a degenerate Hamiltonian H on

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39

Qin, Tao, Shunlin Zhang, Yixiong Wang, Tianjiao Hou, Dunru Zhu, and Su Jing. "Three novel topologically different metal–organic frameworks built from 3-nitro-4-(pyridin-4-yl)benzoic acid." Acta Crystallographica Section C Structural Chemistry 75, no. 2 (2019): 150–60. http://dx.doi.org/10.1107/s2053229618018211.

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The design and synthesis of metal–organic frameworks (MOFs) have attracted much interest due to the intriguing diversity of their architectures and topologies. However, building MOFs with different topological structures from the same ligand is still a challenge. Using 3-nitro-4-(pyridin-4-yl)benzoic acid (HL) as a new ligand, three novel MOFs, namely poly[[(N,N-dimethylformamide-κO)bis[μ2-3-nitro-4-(pyridin-4-yl)benzoato-κ3 O,O′:N]cadmium(II)] N,N-dimethylformamide monosolvate methanol monosolvate], {[Cd(C12H7N2O4)2(C3H7NO)]·C3H7NO·CH3OH} n , (1), poly[[(μ2-acetato-κ2 O:O′)[μ3-3-nitro-4-(pyri

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40

Dong, Jian Fang, Bu Qin Jing, and Lian Zhi Li. "Synthesis and Crystal Structure of an Oxovanadium(IV) Complex Containing L-Phenylalanine Schiff Base and 1,10-Phenanthroline." Advanced Materials Research 1033-1034 (October 2014): 588–91. http://dx.doi.org/10.4028/www.scientific.net/amr.1033-1034.588.

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A new oxovanadium (IV) complex, [VO(o-van-phe)(phen)] (1) (o-van-phe = Schiff base derived from o-vanillin and L-phenylalanine, phen =1,10-phenanthroline), has been synthesized and characterized by elemental analysis, IR spectra and single crystal X-ray diffraction. The results show that complex 1 belongs to triclinic crystal system, with P-1 space group, a=10.646(2) Å, b=11.089(3) Å, c=14.143(4) Å, α=67.374(4)°, β=79.685(4)°, γ=89.711(4)°, Z=2, V=1512.5(7) Å3, Dc =1.195 mg·m–3, μ=0.366 mm–1, F(000)=562. In the molecular structure, the V(IV) ion is six coordinated to form a distorted octah

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41

Siddappa, K., Tukaram Reddy, M. Mallikarjun, and C. V. Reddy. "Synthesis, Characterization and Antimicrobial Studies of 3-[(2-Hydroxy-quinolin-3-ylmethylene)-amino]-2-phenyl-3H-quinazolin-4-one and its Metal(II) Complexes." E-Journal of Chemistry 5, no. 1 (2008): 155–62. http://dx.doi.org/10.1155/2008/659386.

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A new complexes of the type ML2 and M′L [where M=Cu(II), Co(II), and Ni(II) and M′= Zn(II), Cd(II) and Hg(II)]. L = 3-[(2-hydroxy-quinolin-3-ylmethylene)-amino]-2-phenyl-3H-quinazolin-4-one, (HQMAPQ) Schiff base have been synthesized and characterized by elemental analysis, magnetic susceptibility, molar conductance, IR,1H NMR, UV-Visible and ESR data. The studies indicate the HQMAPQ acts as doubly monodentate bridge for metal(II) ions and form mononuclear complexes. The complexes Ni(II), Co(II) and Cu(II) complexes are found to be octahedral, where as Zn(II), Cd(II) and Hg(II) complexes are f

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42

Bajju, Gauri D., Puja Sharma, Ashu Kapahi, Madhulika Bhagat, Sujata Kundan, and Deepmala Gupta. "Oxovanadium(IV) Complexes with Nitrogen Donors: Synthesis, Characterisation, and Biological Activities." Journal of Inorganic Chemistry 2013 (August 26, 2013): 1–11. http://dx.doi.org/10.1155/2013/982965.

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Some oxovanadium(IV) complexes of SA/SSA and 5, 10, 15, and 20-meso-tetraphenylporphyrin (H2tpp) with unidentate and bidentate nitrogen donors have been synthesized and characterized by elemental analysis, conductivity measurements, magnetic susceptibility, UV-Vis, IR, mass spectroscopy, TGA/DTA, and 1H, 13C and 51V NMR studies to investigate the steric and electronic effects of axial ligands on the properties of porphyrins. On the basis of these studies, it has been investigated that the axial ligands bind to the sixth coordination site of the vanadium ion to form a relatively stable six-coor

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43

de Malafosse, Bruno. "New Results on the SSIE with an Operator of the form FΔ ⊂ Ɛ + Fx′ Involving the Spaces of Strongly Summable and Convergent Sequences Using the Cesàro Method". Axioms 10, № 3 (2021): 157. http://dx.doi.org/10.3390/axioms10030157.

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Given any sequence a=(an)n≥1 of positive real numbers and any set E of complex sequences, we can use Ea to represent the set of all sequences y=(yn)n≥1 such that y/a=(yn/an)n≥1∈E. In this paper, we use the spaces w∞, w0 and w of strongly bounded, summable to zero and summable sequences, which are the sets of all sequences y such that n−1∑k=1nykn is bounded and tends to zero, and such that y−le∈w0, for some scalarl. These sets were used in the statistical convergence. Then we deal with the solvability of each of the SSIE FΔ⊂Ɛ+Fx′, where Ɛ is a linear space of sequences, F=c0, c, ℓ∞, w0, w or w∞

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44

Dempwolff, Ulrich. "Doubly transitive dimensional dual hyperovals: universal covers and non-bilinear examples." Advances in Geometry 19, no. 3 (2019): 359–79. http://dx.doi.org/10.1515/advgeom-2018-0028.

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Abstract By [4] a doubly transitive, non-solvable dimensional dual hyperoval D is isomorphic either to the Mathieu dual hyperoval or to a quotient of a Huybrechts dual hyperoval. In order to determine all doubly transitive dimensional dual hyperovals, it remains to classify the solvable ones, and this paper is a contribution to this problem. A doubly transitive, solvable dimensional dual hyperoval D of rank n is defined over 𝔽2 and has an automorphism of the form ES, where E is elementary abelian of order 2n and S ≤ Γ L(1, 2n); see Yoshiara [12]. The known examples D are bilinear. In [1] the b

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45

Feng, Tao, Li-Li Li, Ya-Juan Li, and Wen-Kui Dong. "A half-salamo-based pyridine-containing ligand and its novel NiII complexes including different auxiliary ligands: syntheses, structures, fluorescence properties, DFT calculations and Hirshfeld surface analysis." Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 77, no. 1 (2021): 168–81. http://dx.doi.org/10.1107/s2052520620016157.

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Three novel multinuclear NiII complexes, namely, bis{μ-2-methoxy-6-[8-(pyridin-2-yl)-3,6-dioxa-2,7-diazaocta-1,7-dien-1-yl]phenolato}bis[thiocyanatonickel(II)], [Ni2(L)2(NCS)2], 1, bis{μ-2-methoxy-6-[8-(pyridin-2-yl)-3,6-dioxa-2,7-diazaocta-1,7-dien-1-yl]phenolato}bis[azidonickel(II)], [Ni2(L)2(N3)2], 2, and catena-poly[[{2-methoxy-6-[8-(pyridin-2-yl)-3,6-dioxa-2,7-diazaocta-1,7-dien-1-yl]phenolato}nickel(II)]-μ-dicyanamidato], [Ni(L)(dca)] n , 3 {dca is dicyanamide, C2N3, and HL is 2-methoxy-6-[8-(pyridin-2-yl)-3,6-dioxa-2,7-diazaocta-1,7-dien-1-yl]phenol, C16H17N3O4}, with a half-salamo-base

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46

Siddappa, K., K. Mallikarjun, Tukaram Reddy, M. Mallikarjun, C. V. Reddy, and Mahesh Tambe. "Synthesis, Characterization and Antimicrobial Studies of N1-[(1E)-1-(2-Hydroxyphenyl) ethylidene]-2-oxo-2H-chromene-3-carbohydrazide and its Metal Complexes." E-Journal of Chemistry 6, no. 3 (2009): 615–24. http://dx.doi.org/10.1155/2009/416836.

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A new complexes of the type ML, MʹL and M″L [where M=Cu(II), Co(II), Ni(II) and Mn(II), Mʹ=Fe(III) and M″=Zn(II), Cd(II) and Hg(II) and L=N1-[(1E)-1-(2-hydroxyphenyl)ethylidene]-2-oxo-2H-chromene- 3-carbohydrazide (HL)] Schiff base have been synthesized and characterized by elemental analysis, magnetic susceptibility, molar conductance, IR,1H NMR, UV-Visible and ESR data. The studies indicate the HL acts as doubly monodentate bridge for metal ions and form mononuclear complexes. The complexes Ni(II), Co(II), Cu(II) Mn(II) and Fe(III) complexes are found to be octahedral, where as Zn(II), Cd(II

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47

BARTHELEMY, M., S. V. BULDYREV, S. HAVLIN, and H. E. STANLEY. "SCALING AND FINITE-SIZE EFFECTS FOR THE CRITICAL BACKBONE." Fractals 11, supp01 (2003): 19–27. http://dx.doi.org/10.1142/s0218348x03001689.

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In a first part, we study the backbone connecting two given sites of a two-dimensional lattice separated by an arbitrary distance r in a system of size L. We find a scaling form for the average backbone mass and we also propose a scaling form for the probability distribution P(MB) of backbone mass for a given r. For r ≈ L, P(MB) is peaked around LdB, whereas for r ≪ L, P(MB) decreases as a power law, [Formula: see text], with τB ≃ 1.20 ± 0.03. The exponents ψ and τB satisfy the relation ψ = dB(τB - 1), and ψ is the codimension of the backbone, ψ = d - dB. In a second part, we study the multifr

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48

Butcher, Ray J., Yilma Gultneh та T. B. Yisgedu. "Bis[(2-methylbenzyl)bis(pyridin-2-ylmethyl-κN)amine-κN]manganese(II) bis(perchlorate)". Acta Crystallographica Section E Structure Reports Online 70, № 3 (2014): m100—m101. http://dx.doi.org/10.1107/s1600536814003055.

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In the title complex, [Mn(C20H21N3)2](ClO4)2, two tridentate (2-methylbenzyl)bis(pyridin-2-ylmethyl)amine (L) ligands form the MnIIcomplex [MnL2](ClO4)2. The MnIIion lies on a twofold axis and the complex cation is significantly distorted from regular octahedral geometry. The packing is stabilized by weak C—H...O interactions between the cations and anions, which link them into a zigzag ribbon along [101]. The perchlorate anion is disordered and was constrained to be tetrahedral with two orientations having occupancies of 0.768 (4) and 0.232 (4). The 2-methylbenzyl moiety is also disordered ov

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49

Yang, Ying-Qun, Man-Bo Zhang, Man-Sheng Chen та Zhi-Min Chen. "Synthesis, Crystal Structure and Properties of a New Trinuclear Manganese(II) Complex Mn3(2,2ʹ-bipy)2(C7H5O3)6". Zeitschrift für Naturforschung B 67, № 3 (2012): 209–12. http://dx.doi.org/10.1515/znb-2012-0305.

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A new trinuclear complex Mn3(2,2ʹ-bipy)2(C7H5O3)6 (1) with α-furacrylic acid (HL) and 2,2ʹ- bipyridine as ligands has been synthesized. In 1, six L- anions link three Mn(II) cations to form a trinuclear structure. Each Mn cation is coordinated by six atoms to give a distorted octahedral coordination geometry. The luminescence and electrochemical properties of 1 were investigated. Complex 1 exhibits one intense fluorescence emission band at around 498 nm. It is paramagnetic showing weak antiferromagnetic coupling at low temperature. The electron transfer is irreversible in the electrode reactio

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50

Sun, Xiao, Yue Qiang, Ming Jie Zhao, and Kui Wang. "Research on Fractal Crack Propagation Mechanism of Hydraulic Tunnel Concrete Lining." Applied Mechanics and Materials 353-356 (August 2013): 1704–8. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.1704.

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Based on the fractal geometry theory, the bending form of crack expansion on concrete lining of hydraulic tunnel is described, according to the model of fractal fracture, stress intensity factor of concrete lining crack of hydraulic tunnel is established. Combined with the fracture mechanics theory, the relationship of stress intensity factor on l concrete lining crack is obtained under the hypothesis of crack linear expansion and crack irregular expansion, while the stress intensity factor of latter is less than the former, which is more close to the actual circumstance and more reasonable, w

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