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Journal articles on the topic 'Symmetric connectors'

Author: Grafiati

Published: 19 February 2023

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1

Nguyen Thai, Dung, Phung Van Minh, Cuong Phan Hoang, Tam Ta Duc, Nhung Nguyen Thi Cam, and Dung Nguyen Thi. "Bending of Symmetric Sandwich FGM Beams with Shear Connectors." Mathematical Problems in Engineering 2021 (July 7, 2021): 1–15. http://dx.doi.org/10.1155/2021/7596300.

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This paper carries out the static bending analysis of symmetric three-layer functionally graded sandwich beams, in which each layer is made from different functionally graded materials, and they are connected by shear connectors due to sliding movement. The finite element formulations are based on Timoshenko’s first-order shear deformation beam theory (FSDT) and the finite element method to establish the equilibrium equation of beams. The calculation program is coded in the MATLAB environment, and then verification examples are given out to compare the numerical data of present work with those of exact open sources. The impact of several geometrical and material parameters on the mechanical response of the structure, such as the height-to-length ratio, boundary conditions, volume fraction index, and especially the shear coefficient of connectors, is being explored. When designing and using these types of structures in engineering practice, the computed results can be utilized as a valid reference.

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2

Philip, Milu Mary, Vaibhav Shah, and Vijayakumar Balakrishnan. "Estimation and Generation of Software Architectural Specification to Handle Variation Points." International Journal of Software Engineering and Knowledge Engineering 28, no. 10 (September 25, 2018): 1517–34. http://dx.doi.org/10.1142/s0218194018500444.

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The development of a reliable and efficient software application system requires a competent software architecture which can attune to any design improvement opportunity in the early stages of software architectural design. An Architectural Description Language provides a description of all the component elements and their interactions. The proposed model determines all possible ways of connecting the components and connectors, after eliminating the transitive and symmetric conflicts among the connections, followed by the generation of the software architectural specification. An estimate on the maximum number of architectural specifications generated for a given number of components has been carried out. The syntax for specifying the components and the connectors has been formulated. The model proposed in the current work is generic and it will significantly help a software architect in building reliable, efficient and flexible software architecture, for any valid combination of components and connectors. It has been successfully tested for two prototype applications that involve processing of images and documents.

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3

Phung, Van Minh. "STATIC BENDING ANALYSIS OF SYMMETRICAL THREE-LAYER FGM BEAM WITH SHEAR CONNECTORS UNDER STATIC LOAD." Journal of Science and Technique 15, no. 3 (July 1, 2020): 68–78. http://dx.doi.org/10.56651/lqdtu.jst.v15.n03.213.

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In this paper, the mechanical behavior of symmetric FGM sandwich beams where each component layer is made from different funtionally graded materials and conected to one another by shear connectors is carried out. The finite element formulations are constructed based on the first-order shear deformation theory (FSDT) of Timoshenko for beam and finite element method. The calculation program is coded in the MATLAB environment and compared the results with particular cases. Effects of some geometrical and material properties such as the height-to-length ratio, boundary conditions, shear coefficient of connectors, etc. on the mechanical response of the structure are investigated.

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4

Wilde, D. J. "Two Generalizations of the Isometric Projection in Geometric Design." Journal of Mechanisms, Transmissions, and Automation in Design 111, no. 1 (March 1, 1989): 81–86. http://dx.doi.org/10.1115/1.3258975.

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The well-known pictorial drafting technique of isometric drawing is here generalized in two ways, called “isoclinal” and “axial,” or collectively, “symmetric.” Although the isoclinal projection preserves the useful property of foreshortening adjacent edges equally, and the axial projection foreshortens adjacent normals equally, the directions for these projections usually differ from that for isometric projection. Formulas are derived for the isoclinal and axial directions and their foreshortening factors and rotation matrices. Although intended for three-dimensional computer-aided design, the symmetric projections also can be performed on a drawing board with a protractor. Graphic examples involving design of nonrectangular connectors for three skew structural members and adjacent plates in space are presented.

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5

Deshpande, A., and G. Subbarayan. "LGA Connectors: An Automated Design Technique for a Shrinking Design Space." Journal of Electronic Packaging 122, no. 3 (September 1, 2000): 247–54. http://dx.doi.org/10.1115/1.1286021.

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The ever-increasing demand for higher-density interconnection between a multi-chip module and the printed circuit board has resulted in the emergence of Land-Grid Array (LGA) connectors as an alternative to the traditional pin and socket area-array connectors. The design of high-density land-grid array connectors involves trade-off between conflicting performance requirements on the normal force, wipe, bulk resistance, contact resistance, stress, contact z-dimensional thickness, and z-compression. These stringent design requirements have significantly shrunk the space of viable designs and have necessitated automated search procedures for finding designs that satisfy the design requirements. In this paper, such an automated design procedure based on nonlinear optimization techniques is presented. The design procedure includes a general shape representation scheme based on B-spline curves and a set of programs for carrying out automated nonlinear elastic-plastic-contact finite element analysis (for a given shape) using a commercial finite element code. This automated analysis procedure is coupled with a nonlinear optimization code to carryout optimal design of LGA connectors. The design of LGA connectors is mathematically formulated as an optimization problem and nine different design cases (with representative dimensions and material) are solved to determine the influence of initial design and optimization problem formulation. It is shown that better solutions (with less stress) result if both the width and the thickness of the contacts are allowed to vary. In general, the choice of initial design strongly influences the optimal solution. A triply-curved symmetric contact shape is shown to produce the least stress of three possible common LGA shape designs. [S1043-7398(00)00403-5]

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6

Zhang, Song, Yanmin Jia, and Yixing Ding. "Study on the Flexural Behavior of Steel-Concrete Composite Beams Based on the Shear Performance of Headed Stud Connectors." Buildings 12, no. 7 (July 6, 2022): 961. http://dx.doi.org/10.3390/buildings12070961.

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Headed studs have been widely used as shear connectors in steel-concrete composite beams for a long time. Studies on the influence of the different shear properties of headed studs on the flexural behavior of the composite beams have been inconclusive. In this research, we studied the shear performance influence of headed studs by conducting static push-out tests on seven designed push-out specimens. The flexural behavior of a steel-concrete composite beam connected by studs was discussed in detail by conducting a two-point symmetric monotonic static loading test. Based on the actual situation of the composite beam test, a finite element numerical model was established and validated, in which the elastic connections units were used to simulate the studs, and the force–slip data obtained from the push-out tests were used as the constitutive model of the studs. The effects of the stud diameter, stud height, the number of studs arranged, and concrete strength on the flexural behavior of the composite beams were analyzed and compared. The results showed that the number of studs arranged had a significant influence on the flexural behavior of the composite beams, followed by the strength of the concrete. The specifications of the studs had little effect on the flexural behavior of the composite beams within the study scope using the modeling method in this paper.

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7

Mejías-Bikandi, Errapel. "Gradual conventionalization of pragmatic inferences." International Review of Pragmatics 11, no. 2 (May 14, 2019): 222–34. http://dx.doi.org/10.1163/18773109-01102102.

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Abstract The alternation in Spanish between y and e on the one hand, and u and o in the other, is examined. It is proposed that the standard account under which the choice of one variant over the other is sensitive only to the phonetic context is incomplete. Specifically, the paper argues that pragmatic inferences that typically appear cross-linguistically associated with these connectors, and that result in asymmetric interpretations, are not favoured in Spanish with the morphological variants e and u, which favour symmetric interpretations. The paper proposes that the relevant pragmatic inferences have been partially conventionalized for y and o, but that this conventionalization has not occurred in the case of e and u for the reason that they are much less frequently used. Thus, discussion and data offer a view of a stage in a gradual process of semantic change via conventionalization of pragmatic inferences.

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8

LORENZ, KUNO. "Reflections on the concept of symmetry." European Review 13, S2 (August 22, 2005): 3–11. http://dx.doi.org/10.1017/s1062798705000621.

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The concept of symmetry is omnipresent, although originally, in Greek antiquity, distinctly different from the modern logical notion. In logic a binary relation R is called symmetric if xRy implies yRx. In Greek, ‘being symmetric’ in general usage is synonymous with ‘being harmonious’, and in technical usage, as in Euclid's Elements, it is synonymous with ‘commensurable’. Due to the second meaning, which is close to the etymology of συ´μμετρoς, ‘with measure’ has likewise to be read as ‘being [in] rational [ratios]’ and displays the origin of the concept of rationality of establishing a proportion. Heraclitus can be read as a master of such connections. Exercising rationality is a case of simultaneously finding and inventing symmetries. On that basis a proposal is made of how to relate the modern logical notion of symmetry, a second-order concept, on the one hand with modern first-order usages of the term symmetric in geometry and other fields, and on the other hand with the notion of balance that derives from the ancient usage of symmetric. It is argued that symmetries as states of balance exist only in theory, in practice they function as norms vis-à-vis broken symmetries.

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9

Katyl, R. H., and W. T. Pimbley. "Shape and Force Relationships for Molten Axisymmetric Solder Connections." Journal of Electronic Packaging 114, no. 3 (September 1, 1992): 336–41. http://dx.doi.org/10.1115/1.2905460.

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The analysis for equilibrium shapes of axial symmetric solder connections is presented, which includes the consideration of surface tension, external, and gravitation forces. Four methods of calculating the shapes are explained. The analysis and calculation methods are applied to molten solder drops in contact with wettable circular pads, and to controlled collapse interconnections. A discussion of planar arrays of nonidentical solder connections, and the control of connector shape and height by the use of such nonuniformity is included.

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10

Lacis, Raitis. "Circular hollow section connectors in timber-concrete composite structural elements." Baltic Journal of Road and Bridge Engineering 11, no. 1 (March 25, 2016): 70–76. http://dx.doi.org/10.3846/bjrbe.2016.08.

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This paper presents results of the laboratory tests of timber-concrete structural connectors applicable (but not limited to) road/pedestrian bridges. The tested elements are discrete circular hollow section connectors installed in the pre-drilled slots of a glulam. Symmetrical push-out tests are conducted for two groups of connectors: 1) with wood core not removed; no interlayer between wood and concrete; 2) concrete in-fill core instead of the wood core; waterproofing membrane interlayer between concrete and timber elements. Main structural parameters of the connectors are established including ultimate shear capacity and slip modulus. Relationship between the connector’s stiffness and ultimate shear capacity is established and failure mechanisms are briefly discussed.

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11

Mihai, Adela. "A note on derived connections from semi-symmetric metric connections." Mathematica Slovaca 67, no. 1 (February 1, 2017): 221–26. http://dx.doi.org/10.1515/ms-2016-0261.

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Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find a parallel complex structure on a Kaehler manifold with respect to such a new connection.

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12

Binh, T. Q. "On semi-symmetric connections." Periodica Mathematica Hungarica 21, no. 2 (June 1990): 101–7. http://dx.doi.org/10.1007/bf01946849.

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13

El-Ghazaly, Hany A., and Archibald N. Sherbourne. "Plastic behaviour of unstiffened symmetrical beam-to-column flange connections." Canadian Journal of Civil Engineering 12, no. 4 (December 1, 1985): 821–37. http://dx.doi.org/10.1139/l85-096.

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Present specifications to prevent premature elastic–plastic buckling of the column web in symmetric moment connections are based on limited semiempirical evidence because costs of a total experimental investigation are prohibitive and an accepted generalized theory for elastoplastic plate bifurcation is lacking. Finite element formulations, based on an incremental version of a deformation theory combined with appropriate iterative techniques, have been recently developed and displayed both accuracy and adaptability to elastoplastic plate buckling problems for general loading–unloading–reloading history.In the present paper the developed numerical technique has been used to conduct a limited parametric investigation studying the effects of a column axial load on the interaction between beam tension and compression zones as reflected in the stability of symmetrical moment connections. Both quantitative and qualitative measurements have been obtained but, more importantly, the behaviour and capacity of symmetrical moment connections as governed by elastic–plastic buckling of the column web are examined. The paper concludes by emphasizing the necessity to reconsider the present specifications controlling the buckling capacity of the column web in connections since parameters such as those considered in the present paper may have significant effects on the plastic buckling capacity. Key words: symmetrical moment connections, plastic buckling, column web, finite element, axial load, beam depth.

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14

Mohamad, Noridah, and Hilmi Mahdi Muhammad. "Testing of Precast Lightweight Foamed Concrete Sandwich Panel with Single and Double Symmetrical Shear Truss Connectors under Eccentric Loading." Advanced Materials Research 335-336 (September 2011): 1107–16. http://dx.doi.org/10.4028/www.scientific.net/amr.335-336.1107.

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This paper reports the structural behavior of precast lightweight foamed concrete sandwich panel, PLFP, subjected to eccentric loading. An experiment was conducted to investigate the structural performance of PLFP under this load. Two PLFP panels, PE-1 and PE-2 were cast with 2000 mm in heights, 750 mm in width and 100 mm in thickness. The thickness of the wall is actually a combination of three layers. Skin layers were cast from lightweight foamed concrete while the core layer is made of polystyrene. The skin layers were connected to each other by 9 mm steel shear truss connector which were embedded through the layers. Panel PE-1 was strengthened with single diagonal shear truss connectors made of 6 mm steel rebar while panel PE-2 was strengthened with symmetrical diagonal shear truss connectors of similar steel diameter. Both panels were tested under eccentric load till failure. The results showed that panel with symmetrical double truss connectors, PE-2, is able to sustain higher load compared to panel with single shear truss connector. The load-deflection profiles indicate that both panels achieved certain degree of composite action especially during the later stage of loading where the wythes tend to move in the same direction until they reached failure. The load-strain curves for both panels highlight the inconsistent distribution of surface strain along the height of panels. The overall trend of the strain curves show that they are under compression.

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15

Wang, Yong. "Affine connections of non-integrable distributions." International Journal of Geometric Methods in Modern Physics 17, no. 08 (June 3, 2020): 2050127. http://dx.doi.org/10.1142/s0219887820501273.

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In this paper, we study non-integrable distributions in a Riemannian manifold with a semi-symmetric metric connection, a kind of semi-symmetric non-metric connection and a statistical connection. We obtain the Gauss, Codazzi, and Ricci equations for non-integrable distributions with respect to the semi-symmetric metric connection, the semi-symmetric non-metric connection and the statistical connection. As applications, we obtain Chen’s inequalities for non-integrable distributions of real space forms endowed with a semi-symmetric metric connection and a kind of semi-symmetric non-metric connection. We give some examples of non-integrable distributions in a Riemannian manifold with affine connections. We find some new examples of Einstein distributions and distributions with constant scalar curvature.

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16

Balcerzak, Bogdan. "On Symmetric Brackets Induced by Linear Connections." Symmetry 13, no. 6 (June 3, 2021): 1003. http://dx.doi.org/10.3390/sym13061003.

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In this note, we discuss symmetric brackets on skew-symmetric algebroids associated with metric or symplectic structures. Given a pseudo-Riemannian metric structure, we describe the symmetric brackets induced by connections with totally skew-symmetric torsion in the language of Lie derivatives and differentials of functions. We formulate a generalization of the fundamental theorem of Riemannian geometry. In particular, we obtain an explicit formula of the Levi-Civita connection. We also present some symmetric brackets on almost Hermitian manifolds and discuss the first canonical Hermitian connection. Given a symplectic structure, we describe symplectic connections using symmetric brackets. We define a symmetric bracket of smooth functions on skew-symmetric algebroids with the metric structure and show that it has properties analogous to the Lie bracket of Hamiltonian vector fields on symplectic manifolds.

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17

Opozda, Barbara. "Locally symmetric connections on surfaces." Results in Mathematics 20, no. 3-4 (November 1991): 725–43. http://dx.doi.org/10.1007/bf03323207.

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18

Guijarro, Luis, Lorenzo Sadun, and Gerard Walschap. "Parallel connections over symmetric spaces." Journal of Geometric Analysis 11, no. 2 (June 2001): 265–81. http://dx.doi.org/10.1007/bf02921966.

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19

Cocos, M. "A note on symmetric connections." Journal of Geometry and Physics 56, no. 3 (March 2006): 337–43. http://dx.doi.org/10.1016/j.geomphys.2005.01.010.

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20

Dubrovskiy, S. "Moduli space of symmetric connections." Journal of Mathematical Sciences 126, no. 2 (January 2005): 1053–63. http://dx.doi.org/10.1007/pl00021951.

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21

Wang, Yong. "Affine connections on singular warped products." International Journal of Geometric Methods in Modern Physics 18, no. 05 (February 22, 2021): 2150076. http://dx.doi.org/10.1142/s0219887821500766.

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In this paper, we introduce semi-symmetric metric Koszul forms and semi-symmetric non-metric Koszul forms on singular semi-Riemannian manifolds. Semi-symmetric metric Koszul forms and semi-symmetric non-metric Koszul forms and their curvature of semi-regular warped products are expressed in terms of those of the factor manifolds. We also introduce Koszul forms associated with the almost product structure on singular almost product semi-Riemannian manifolds. Koszul forms associated with the almost product structure and their curvature of semi-regular almost product warped products are expressed in terms of those of the factor manifolds. Furthermore, we generalize the results in [O. Stoica, The geometry of warped product singularities, Int. J. Geom. Methods Mod. Phys. 14(2) (2017) 1750024, arXiv:1105.3404.] to singular multiply warped products.

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22

Abd-Elhameed, Waleed Mohamed, and Amr Kamel Amin. "New Formulas and Connections Involving Euler Polynomials." Axioms 11, no. 12 (December 18, 2022): 743. http://dx.doi.org/10.3390/axioms11120743.

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The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using some of these polynomials’ well-known fundamental characteristics as well as those of the Euler polynomials. In terms of the Euler polynomials, new formulas for the derivatives of various symmetric and non-symmetric polynomials, including the well-known classical orthogonal polynomials, are given. This leads to the deduction of several new connection formulas between various polynomials and the Euler polynomials. As an important application, new closed forms for the definite integrals for the product of various symmetric and non-symmetric polynomials with the Euler polynomials are established based on the newly derived connection formulas.

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23

Laquer, H. Turner. "Invariant affine connections on symmetric spaces." Proceedings of the American Mathematical Society 115, no. 2 (February 1, 1992): 447. http://dx.doi.org/10.1090/s0002-9939-1992-1107273-6.

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24

Tapp, Kristopher. "Radially symmetric connections over round spheres." Proceedings of the American Mathematical Society 146, no. 8 (April 18, 2018): 3515–27. http://dx.doi.org/10.1090/proc/14032.

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25

Sular, Sibel, and Cihan Özgur. "GENERALIZED SASAKIAN SPACE FORMS WITH SEMI-SYMMETRIC METRIC CONNECTIONS." Annals of the Alexandru Ioan Cuza University - Mathematics 60, no. 1 (January 1, 2014): 145–56. http://dx.doi.org/10.2478/v10157-012-0050-7.

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Abstract The aim of the present paper is to introduce generalized Sasakian space forms endowed with semi-symmetric metric connections. We obtain the existence theorem of a generalized Sasakian space form with semi-symmetric metric connection and we give some examples by using warped products endowed with semi-symmetric metric connection.

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26

SHIH, CHIH-WEN, and CHIH-WEN WENG. "ON THE TEMPLATES CORRESPONDING TO CYCLE-SYMMETRIC CONNECTIVITY IN CELLULAR NEURAL NETWORKS." International Journal of Bifurcation and Chaos 12, no. 12 (December 2002): 2957–66. http://dx.doi.org/10.1142/s0218127402006278.

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In the architecture of cellular neural networks (CNN), connections among cells are built on linear coupling laws. These laws are characterized by the so-called templates which express the local interaction weights among cells. Recently, the complete stability for CNN has been extended from symmetric connections to cycle-symmetric connections. In this presentation, we investigate a class of two-dimensional space-invariant templates. We find necessary and sufficient conditions for the class of templates to have cycle-symmetric connections. Complete stability for CNN with several interesting templates is thus concluded.

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27

Singh, Jai Pratap, Kripa Sindhu Prasad, and Aparna Verma. "Study of Some Properties on Almost Para Contact Metric Manifolds with Certain Connection." Journal of Applied Science and Education (JASE) 1, no. 1 (October 21, 2021): 1–5. http://dx.doi.org/10.54060/jase/001.01.006.

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Many differential geometers studied different types of manifolds with a semi-symmetric metric connection. In the present paper, we study semi-symmetric nonmetric connections on an almost para-contact manifold in relation to semi-symmetric nonmetric connections. In another section of the work, we have studied the curvature tensor and Nijenhuis tensor.

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28

Zhao, Di, Talyun Ho, and An Hyon. "Geometries for a mutual connection of semi-symmetric metric recurrent connections." Filomat 34, no. 13 (2020): 4367–74. http://dx.doi.org/10.2298/fil2013367z.

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A semi-symmetric metric recurrent connection has already been studied. In this paper we newly discovered geometrical properties and conjugate symmetric condition for the mutual connection of a semi-symmetric metric recurrent connection in a Riemannian manifold.

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29

Loo, Wei Y., Pierre Quenneville, and Nawawi Chouw. "A new type of symmetric slip-friction connector." Journal of Constructional Steel Research 94 (March 2014): 11–22. http://dx.doi.org/10.1016/j.jcsr.2013.11.005.

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30

Wu, Tong, and Yong Wang. "Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions." Symmetry 13, no. 1 (January 5, 2021): 79. http://dx.doi.org/10.3390/sym13010079.

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In this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed. We obtain the Gauss, Codazzi, and Ricci equations in both cases. Moreover, Chen’s inequalities are also obtained in both cases. Some new examples based on non-integrable distributions in a Riemannian manifold with generalized semi-symmetric non-metric connections are proposed.

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31

Zangiabadi, Elham, and Zohreh Nazari. "Semi-Riemannian manifold with semi-symmetric connections." Journal of Geometry and Physics 169 (November 2021): 104341. http://dx.doi.org/10.1016/j.geomphys.2021.104341.

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32

Mincic, Svetislav. "On some properties of non-symmetric connections." Filomat 29, no. 3 (2015): 585–91. http://dx.doi.org/10.2298/fil1503585m.

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On an N-dimensional manifold with non-symmetric connection Lijk four kinds of covariant derivative (1.1) are defined, and four curvature tensors are obtained. In the present paper specially the 3rd and the 4th kind of covariant derivative are studied, particularly their application on ?-symbols.

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33

Cleyton, Richard, Andrei Moroianu, and Uwe Semmelmann. "Metric connections with parallel skew-symmetric torsion." Advances in Mathematics 378 (February 2021): 107519. http://dx.doi.org/10.1016/j.aim.2020.107519.

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34

Bokan, Neda, and Peter Gilkey. "Asymptotics of Laplacians defined by Symmetric Connections." Results in Mathematics 20, no. 3-4 (November 1991): 589–99. http://dx.doi.org/10.1007/bf03323197.

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35

Çağrı, KARAMAN. "On metallic semi-symmetric metric f - connections." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 67, no. 2 (2018): 242–51. http://dx.doi.org/10.1501/commua1_0000000878.

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36

Khwanda, Mohamed, and Yazan Jahjah. "CRANIAL BASE SYMMETRIC AND NORMAL LOWER JAW ROTATION." Romanian Journal of Stomatology 61, no. 3 (September 30, 2015): 231–37. http://dx.doi.org/10.37897/rjs.2015.3.4.

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Understanding the complexities of cranial base development, function, and architecture is important for testing hypotheses about many aspects of craniofacial variation and evolution. Architecturally, the cranial base provides the platform upon which the brain grows and around which the face grows. In addition, the cranial base connects the cranium with the rest of the body: it articulates with the vertebral column and the mandible, provides conduits for all the vital neural and circulatory connections between the brain, the face and the neck, houses and connects the sense organs in the skull, and forms the roof of the nasopharynx. The shape of the cranial base is therefore a multifactorial product of numerous phylogenetic, developmental, and functional interactions. Aim. The aim of this research is to perform a morphometric analysis of the skull base to investigate the symmetry between the two hemibases of the cranial fossa with each other in adult patients with normal type of lower jaw rotation using cone beam copmuted tomography CBCT in transversal plane. Materials and methods. In result of radiographic study, 35 Caucasian adult patients with no prior orthodontics treatment were selected (16 males, 19 females) from 16 to 27 years (mean age of 20.02 years: females average age was 20.15 years; males average age was 21.84 years) of age with normal type of lower jaw rotation according to the sum of Björk. Pearson’s Correlation Coefficient was calculated to investigate the symmetry between the two hemibases of the cranial fossa with each other. Results. A difference was found amongst the two genders of the sample subjects in the strength of the correlation between the CBCT angular measurements evaluating the two hemibases of the cranial base symmetry. Conclusion. A difference was found amongst the two genders. This study found no exact symmetry between the samples, but it was in high level for adult females.

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37

Berezovski, Volodymyr, Yevhen Cherevko, and Lenka Rýparová. "Conformal and Geodesic Mappings onto Some Special Spaces." Mathematics 7, no. 8 (July 25, 2019): 664. http://dx.doi.org/10.3390/math7080664.

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In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces.

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38

BIELIAVSKY, PIERRE, MICHEL CAHEN, SIMONE GUTT, JOHN RAWNSLEY, and LORENZ SCHWACHHÖFER. "SYMPLECTIC CONNECTIONS." International Journal of Geometric Methods in Modern Physics 03, no. 03 (May 2006): 375–420. http://dx.doi.org/10.1142/s021988780600117x.

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This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variational principle). The class of Ricci-type connections (for which the curvature is entirely determined by the Ricci tensor) is described in detail, as well as its far-reaching generalization to special connections. A twistorial construction shows a relation between Ricci-type connections and complex geometry. We give a construction of Ricci-flat symplectic connections. We end up by presenting, through an explicit example, an approach to non-commutative symplectic symmetric spaces.

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39

Pahan, Sampa. "Super quasi-Einstein warped products with affine connections." Gulf Journal of Mathematics 10, no. 1 (March 11, 2021): 1–23. http://dx.doi.org/10.56947/gjom.v10i1.549.

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In this paper, we study super quasi-Einstein warped product spaces with semi-symmetric non-metric connection and quarter symmetric connection. Then we give the expressions of the Ricci tensors and scalar curvatures for the bases and fibers with these affine connections. Next we find the obstructions to the existence of super quasi-Einstein warped products with respect to affine connections. In the last section, we obtain an example of super quasi-Einstein space time.

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40

Chen, Zhizhi, Yanlin Li, Aydin Gezer, Erkan Karakas, and Cagri Karaman. "E-Connections on the ε-Anti-Kähler Manifolds." Symmetry 14, no. 9 (September 11, 2022): 1899. http://dx.doi.org/10.3390/sym14091899.

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The paper undertakes certain special forms of the quarter symmetric metric and non-metric connections on an ε-anti-Kähler manifold. Firstly, we deduce the relation between the Riemannian connection and the special forms of the quarter symmetric metric and non-metric connections. Then, we present some results concerning the torsion tensors of these connections. In addition, we find the forms of the curvature tensor, the Ricci curvature tensor and scalar curvature of such connections and we search the conditions for the ε-anti-Kähler manifold to be an Einstein space with respect to these connections. Finally, we study U(Ric)−vector fields with respect to these connections and give some results related to them.

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41

Berezovski, Volodymyr, Yevhen Cherevko, Irena Hinterleitner, and Patrik Peška. "Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces." Mathematics 8, no. 9 (September 11, 2020): 1560. http://dx.doi.org/10.3390/math8091560.

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In the paper, we consider geodesic mappings of spaces with an affine connections onto generalized symmetric and Ricci-symmetric spaces. In particular, we studied in detail geodesic mappings of spaces with an affine connections onto 2-, 3-, and m- (Ricci-) symmetric spaces. These spaces play an important role in the General Theory of Relativity. The main results we obtained were generalized to a case of geodesic mappings of spaces with an affine connection onto (Ricci-) symmetric spaces. The main equations of the mappings were obtained as closed mixed systems of PDEs of the Cauchy type in covariant form. For the systems, we have found the maximum number of essential parameters which the solutions depend on. Any m- (Ricci-) symmetric spaces (m≥1) are geodesically mapped onto many spaces with an affine connection. We can call these spaces projectivelly m- (Ricci-) symmetric spaces and for them there exist above-mentioned nontrivial solutions.

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Chung, Jinan, Seongyon Seo, Chiaki Matsui, and Sungmo Choi. "Hysteresis Behavior of Square Tube Columns to H-Beam Connections with Vertical Stiffeners." Advances in Structural Engineering 8, no. 6 (December 2005): 561–72. http://dx.doi.org/10.1260/136943305776318383.

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This paper deals with confirming the usability of a new connection method for steel moment-resisting frames. The connections are strengthened with vertical stiffeners to connect square tube columns and H-shaped beams. Two test methods were selected with experimental parameters given as details. The first test is performed under symmetrical loading. Beams are simply supported on both ends and test load is applied to the top of the column. The second test is performed under anti-symmetric loading. The shape of test specimens is cruciform, with a beam and a column. The top end and base of the column are simply supported, and load is applied to both ends of the beam. Test results are summarized to investigate structural performances of the connection. Nonlinear FE analysis using ANSYS for moment-resisting frames was performed to confirm the test results. It was found that all specimens had sufficient capacities exceeding the full plastic strength of beam. Therefore, the connections strengthened with vertical stiffeners were successfully verified to have possibility as a new connection method for steel moment-frames.

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43

Berezovski, Volodymyr, Yevhen Cherevko, Irena Hinterleitner, and Patrik Peška. "Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces." Mathematics 10, no. 13 (June 21, 2022): 2165. http://dx.doi.org/10.3390/math10132165.

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In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the Cauchy type in the covariant derivatives. For the systems, we have found the maximum number of essential parameters on which the solutions depend. These results generalize the properties of geodesic mappings onto symmetric, recurrent, and also 2-, 3-, and m-(Ricci-)symmetric spaces with affine connections.

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44

Sivandi-Pour, Abbas. "Performance Assessment of Steel Moment Connections Retrofitted with Various Reduced Section Patterns." Civil and Environmental Engineering Reports 29, no. 4 (December 1, 2019): 1–17. http://dx.doi.org/10.2478/ceer-2019-0041.

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Abstract It is of high importance in seismic retrofitting of lateral load-bearing systems to increase the connections performance. The crucial point in the steel frame retrofitting process is to create plastic hinges in these types of frames. The formation of plastic hinges in beams and near columns generates large strains on column flanges as well as welding metal and heated surroundings, which can lead to brittle failure. The connection should be designed in such a way as to allow plastic hinge formation at certain points of the beam. One such method suggested for retrofit connections is to reduce the beam section locally away from the connection zone. There are various patterns available to locally reduce the beam section, such as circular, elliptical, and symmetric/asymmetric. In recent years, different proposals have been presented to design these connections which vary from older instructions. For this study, radiused cuts in the flange and slotted holes in the web of connection beams were selected for retrofitting analysis. Cyclic behavior, energy damping levels, and ductility of these connections were studied and compared before and after the retrofit by using nonlinear dynamic analysis. The results showed that the symmetrical circular hole pattern in the beam flanges demonstrated reliable performance.

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45

Boldi, Paolo, Ian Leifer, and Hernán A. Makse. "Quasifibrations of graphs to find symmetries and reconstruct biological networks." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 11 (November 1, 2022): 113401. http://dx.doi.org/10.1088/1742-5468/ac99d1.

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Abstract A fibration of graphs is a homomorphism that is a local isomorphism of in-neighborhoods. Recently, it has been shown that graph fibrations are useful tools to uncover symmetries and cluster synchronization in biological networks ranging from gene, protein, and metabolic networks to the brain. However, the inherent incompleteness and disordered nature of biological data preclude the application of the definition of fibration as it is. As a consequence, also the currently known algorithms to identify fibrations fail in these domains. In this paper, we introduce and develop systematically the theory of quasifibrations which attempts to capture more realistic patterns of quasi-symmetry in such networks. We provide an algorithmic solution to the problem of finding quasifibrations in networks where the existence of missing links and variability across samples preclude the identification of perfect fibration symmetries. We test our algorithm against other strategies to repair missing links in incomplete networks using real connectome data and synthetic networks. Quasifibrations can be applied to reconstruct any incomplete network structure characterized by underlying symmetrical and almost symmetrical clusters. The most direct application of our algorithms is that of helping researchers to find hidden symmetries in unknown (or partially unknown) networks, especially (but not exclusively) of biological nature.

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Fong, Lee Yen, Nor Hayati Abd Ghafar, Norashidah Abd Rahman, and David Yeoh. "Connection Performance for LVL-Concrete Composite Floor System." Applied Mechanics and Materials 773-774 (July 2015): 954–63. http://dx.doi.org/10.4028/www.scientific.net/amm.773-774.954.

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The LVL-concrete composite (LCC) structure is a hybrid in system which the LVL member is well connected to the concrete slab by a connector to produce composite action. Various types of connector with different stiffness and shear capacity are available in the market currently. The stiffness of the connector is identified through the push-out experiment. The notch connections for LVL concrete composite beams have higher stiffness and strength compared to mechanical fasteners. This paper discusses the experimental results of symmetrical push-out tests on 3 different types of connector, 150mm rectangular notch with 10mm diameter screw, 100mm rectangular notch with 8mm diameter screw and 100mm triangular notch with 8mm diameter screw. The experimental test was shear push out to failure and the type of failure was discussed. The 150mm rectangular notch was found to be strongest among all and low cost. The 100mm rectangular notch was found to be slightly stiffer than 100mm triangular notch but 100mm triangular notch is easier to construct with only 2 cut. The maximum strength and stiffness at ultimate limit states and serviceability limit states of each type of connection were discussed in this paper.

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Tiwari, S. K., and Shiv Prakash Mishra. "Affine Motion in a Finsler Space with Non-Symmetric Connections." Journal of the Tensor Society 3, no. 00 (June 30, 2009): 119–24. http://dx.doi.org/10.56424/jts.v3i01.9976.

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Tokano [5] studied the affine motion and its properties in a recurrent Finsler space. Further, Pandey and Tiwari [3] developed the existence of affine motion in a R recurrent Finsler space equipped with non-symmetric connections. The object of the present paper is to study the infinitesimal affine motion in a Finsler space with non-symmetric connection. Some useful investigation have been obtained in the paper.

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Yıldırım, Mustafa. "Semi-symmetric non-metric connections on statistical manifolds." Journal of Geometry and Physics 176 (June 2022): 104505. http://dx.doi.org/10.1016/j.geomphys.2022.104505.

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Colclough, G. L., M. J. Brookes, S. M. Smith, and M. W. Woolrich. "A symmetric multivariate leakage correction for MEG connectomes." NeuroImage 117 (August 2015): 439–48. http://dx.doi.org/10.1016/j.neuroimage.2015.03.071.

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Derdzinski, Andrzej. "Connections with Skew-Symmetric Ricci Tensor on Surfaces." Results in Mathematics 52, no. 3-4 (September 2008): 223–45. http://dx.doi.org/10.1007/s00025-008-0307-3.

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