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Journal articles on the topic 'Text connection'

Author: Grafiati

Published: 24 June 2021

Last updated: 4 February 2022

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1

Abdupattoev, Mukhammadtokhir Tojimamatovich. "Unusual Connections As Forming Literary Text." American Journal of Social Science and Education Innovations 03, no. 02 (February 27, 2021): 177–82. http://dx.doi.org/10.37547/tajssei/volume03issue02-28.

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This article examines the role of the unusual connection in the formation of the literary text, which is a type of unusual connection in the Uzbek language. It has also been analyzed using examples that this tool is also a means of emotional expression in a literary text.

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2

Azeef Muhammed, P. A., and A. R. Rajan. "Cross-connections of the singular transformation semigroup." Journal of Algebra and Its Applications 17, no. 03 (February 5, 2018): 1850047. http://dx.doi.org/10.1142/s0219498818500470.

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Cross-connection is a construction of regular semigroups using certain categories called normal categories which are abstractions of the partially ordered sets of principal left (right) ideals of a semigroup. We describe the cross-connections in the semigroup [Formula: see text] of all non-invertible transformations on a set [Formula: see text]. The categories involved are characterized as the powerset category [Formula: see text] and the category of partitions [Formula: see text]. We describe these categories and show how a permutation on [Formula: see text] gives rise to a cross-connection. Further, we prove that every cross-connection between them is induced by a permutation and construct the regular semigroups that arise from the cross-connections. We show that each of the cross-connection semigroups arising this way is isomorphic to [Formula: see text]. We also describe the right reductive subsemigroups of [Formula: see text] with the category of principal left ideals isomorphic to [Formula: see text]. This study sheds light into the more general theory of cross-connections and also provides an alternate way of studying the structure of [Formula: see text].

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3

SOLEIMAN, A. "ENERGY β-CONFORMAL CHANGE IN FINSLER GEOMETRY." International Journal of Geometric Methods in Modern Physics 09, no. 04 (May 6, 2012): 1250029. http://dx.doi.org/10.1142/s0219887812500296.

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The present paper deals with an intrinsic generalization of the conformal change and energy β-change on a Finsler manifold (M.L.), namely the energy β-conformal change ([Formula: see text] with [Formula: see text]; [Formula: see text] being a concurrent π-vector field and σ(x) is a function on M). The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, together with the fact that the Cartan and the Barthel connections have the same horizontal and vertical projectors, enable us to study the energy β-conformal change of the fundamental linear connection in Finsler geometry: the Cartan connection, the Berwald connection, the Chern connection and the Hashiguchi connection. Moreover, the change of their curvature tensors is obtained. It should be pointed out that the present work is formulated in a prospective modern coordinate-free form.

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YOUSSEF, NABIL L., S. H. ABED, and A. SOLEIMAN. "CONCURRENT π-VECTOR FIELDS AND ENERGY β-CHANGE." International Journal of Geometric Methods in Modern Physics 06, no. 06 (September 2009): 1003–31. http://dx.doi.org/10.1142/s0219887809003904.

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The present paper deals with an intrinsic investigation of the notion of a concurrent π-vector field on the pullback bundle of a Finsler manifold (M, L). The effect of the existence of a concurrent π-vector field on some important special Finsler spaces is studied. An intrinsic investigation of a particular β-change, namely the energy β-change ([Formula: see text]with[Formula: see text]; [Formula: see text] being a concurrent π-vector field), is established. The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, together with the fact that the Cartan and the Barthel connections have the same horizontal and vertical projectors, enable us to study the energy β-change of the fundamental linear connection in Finsler geometry: the Cartan connection, the Berwald connection, the Chern connection, and the Hashiguchi connection. Moreover, the change of their curvature tensors is concluded. It should be pointed out that the present work is formulated in a prospective modern coordinate-free form.

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Urban, Zbyněk, and Jana Volná. "The metrizability problem for Lorentz-invariant affine connections." International Journal of Geometric Methods in Modern Physics 13, no. 08 (September 2016): 1650110. http://dx.doi.org/10.1142/s0219887816501103.

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The invariant metrizability problem for affine connections on a manifold, formulated by Tanaka and Krupka for connected Lie groups actions, is considered in the particular cases of Lorentz and Poincaré (inhomogeneous Lorentz) groups. Conditions under which an affine connection on the open submanifold [Formula: see text] of the Euclidean space [Formula: see text] coincides with the Levi-Civita connection of some [Formula: see text], respectively [Formula: see text]-invariant metric field are studied. We give complete description of metrizable Lorentz-invariant connections. Explicit solutions (metric fields) of the invariant metrizability equations are found and their properties are discussed.

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6

SOLEIMAN, A. "PARALLEL π-VECTOR FIELDS AND ENERGY β-CHANGE." International Journal of Geometric Methods in Modern Physics 08, no. 04 (June 2011): 753–72. http://dx.doi.org/10.1142/s0219887811005373.

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The present paper deals with an intrinsic investigation of the notion of a parallel π-vector field on the pullback bundle of a Finsler manifold (M, L). The effect of the existence of a parallel π-vector field on some important special Finsler spaces is studied. An intrinsic investigation of a particular β-change, namely the energy β-change ([Formula: see text]with[Formula: see text] being a parallel π-vector field), is established. The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, together with the fact that the Cartan and the Barthel connections have the same horizontal and vertical projectors, enable us to study the energy β-change of the fundamental linear connection in Finsler geometry: The Cartan connection, the Berwald connection, the Chern connection and the Hashiguchi connection. Moreover, the change of their curvature tensors is concluded. It should be pointed out that the present work is formulated in a prospective modern coordinate-free form.

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7

Azeef Muhammed, P. A., and A. R. Rajan. "Cross-connections of completely simple semigroups." Asian-European Journal of Mathematics 09, no. 03 (August 2, 2016): 1650053. http://dx.doi.org/10.1142/s1793557116500534.

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A completely simple semigroup [Formula: see text] is a semigroup without zero which has no proper ideals and contains a primitive idempotent. It is known that [Formula: see text] is a regular semigroup and any completely simple semigroup is isomorphic to the Rees matrix semigroup [Formula: see text] (cf. D. Rees, On semigroups, Proc. Cambridge Philos. Soc. 36 (1940) 387–400). In the study of structure theory of regular semigroups, Nambooripad introduced the concept of normal categories to construct the semigroup from its principal left (right) ideals using cross-connections. A normal category [Formula: see text] is a small category with subobjects wherein each object of the category has an associated idempotent normal cone and each morphism admits a normal factorization. A cross-connection between two normal categories [Formula: see text] and [Formula: see text] is a local isomorphism [Formula: see text] where [Formula: see text] is the normal dual of the category [Formula: see text]. In this paper, we identify the normal categories associated with a completely simple semigroup [Formula: see text] and show that the semigroup of normal cones [Formula: see text] is isomorphic to a semi-direct product [Formula: see text]. We characterize the cross-connections in this case and show that each sandwich matrix [Formula: see text] correspond to a cross-connection. Further we use each of these cross-connections to give a representation of the completely simple semigroup as a cross-connection semigroup.

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8

Bruce, Andrew James. "Connections adapted to non-negatively graded structures." International Journal of Geometric Methods in Modern Physics 16, no. 02 (February 2019): 1950021. http://dx.doi.org/10.1142/s021988781950021x.

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Graded bundles are a particularly nice class of graded manifolds and represent a natural generalization of vector bundles. By exploiting the formalism of supermanifolds to describe Lie algebroids, we define the notion of a weighted[Formula: see text]-connection on a graded bundle. In a natural sense weighted [Formula: see text]-connections are adapted to the basic geometric structure of a graded bundle in the same way as linear [Formula: see text]-connections are adapted to the structure of a vector bundle. This notion generalizes directly to multi-graded bundles and in particular we present the notion of a bi-weighted[Formula: see text]-connection on a double vector bundle. We prove the existence of such adapted connections and use them to define (quasi-)actions of Lie algebroids on graded bundles.

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CONSTANTINESCU, OANA, and MIRCEA CRASMAREANU. "SUB-WEYL GEOMETRY AND ITS LINEAR CONNECTIONS." International Journal of Geometric Methods in Modern Physics 09, no. 05 (July 3, 2012): 1250047. http://dx.doi.org/10.1142/s0219887812500478.

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The aim of this paper is to study from the point of view of linear connections the data [Formula: see text] with M a smooth (n+p)-dimensional real manifold, [Formula: see text] an n-dimensional manifold semi-Riemannian distribution on M, [Formula: see text] the conformal structure generated by g and W a Weyl substructure: a map [Formula: see text] such that W(ḡ) = W(g) - du, ḡ = eug;u ∈ C∞(M). Compatible linear connections are introduced as a natural extension of similar notions from Weyl geometry and such a connection is unique if a symmetry condition is imposed. In the foliated case the local expression of this unique connection is obtained. The notion of Vranceanu connection is introduced for a pair (Weyl structure, distribution) and it is computed for the tangent bundle of Finsler spaces, particularly Riemannian, choosing as distribution the vertical bundle of tangent bundle projection and as one-form the Cartan form.

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10

Bhowmick, Jyotishman, Debashish Goswami, and Giovanni Landi. "Levi-Civita connections and vector fields for noncommutative differential calculi." International Journal of Mathematics 31, no. 08 (June 23, 2020): 2050065. http://dx.doi.org/10.1142/s0129167x20500652.

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We study covariant derivatives on a class of centered bimodules [Formula: see text] over an algebra [Formula: see text] We begin by identifying a [Formula: see text]-submodule [Formula: see text] which can be viewed as the analogue of vector fields in this context; [Formula: see text] is proven to be a Lie algebra. Connections on [Formula: see text] are in one-to-one correspondence with covariant derivatives on [Formula: see text]. We recover the classical formulas of torsion and metric compatibility of a connection in the covariant derivative form. As a result, a Koszul formula for the Levi-Civita connection is also derived.

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11

WISEMAN, JIM. "The generalized recurrent set and strong chain recurrence." Ergodic Theory and Dynamical Systems 38, no. 2 (July 4, 2016): 788–800. http://dx.doi.org/10.1017/etds.2016.35.

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Fathi and Pageault have recently shown a connection between Auslander’s generalized recurrent set$\text{GR}(f)$and Easton’s strong chain recurrent set. We study$\text{GR}(f)$by examining that connection in more detail, as well as connections with other notions of recurrence. We give equivalent definitions that do not refer to a metric. In particular, we show that$\text{GR}(f^{k})=\text{GR}(f)$for any$k>0$, and give a characterization of maps for which the generalized recurrent set is different from the ordinary chain recurrent set.

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12

Kruglikov, Boris, Vladimir Matveev, and Dennis The. "Submaximally symmetric c-projective structures." International Journal of Mathematics 27, no. 03 (March 2016): 1650022. http://dx.doi.org/10.1142/s0129167x16500221.

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[Formula: see text]-projective structures are analogues of projective structures in the almost complex setting. The maximal dimension of the Lie algebra of [Formula: see text]-projective symmetries of a complex connection on an almost complex manifold of [Formula: see text]-dimension [Formula: see text] is classically known to be [Formula: see text]. We prove that the submaximal dimension is equal to [Formula: see text]. If the complex connection is minimal (encoded as a normal parabolic geometry), the harmonic curvature of the [Formula: see text]-projective structure has three components and we specify the submaximal symmetry dimensions and the corresponding geometric models for each of these three pure curvature types. If the connection is non-minimal, we introduce a modified normalization condition on the parabolic geometry and use this to resolve the symmetry gap problem. We prove that the submaximal symmetry dimension in the class of Levi-Civita connections for pseudo-Kähler metrics is [Formula: see text], and specializing to the Kähler case, we obtain [Formula: see text]. This resolves the symmetry gap problem for metrizable [Formula: see text]-projective structures.

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Chi, Quo-Shin, Sergey Merkulov, and Lorenz Schwachhöfer. "Exotic Holonomies ${\rm E}^{(a)}_7$." International Journal of Mathematics 08, no. 05 (August 1997): 583–94. http://dx.doi.org/10.1142/s0129167x97000305.

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It is proved that the Lie groups [Formula: see text] and [Formula: see text] represented in ℝ56 and the Lie group [Formula: see text] represented in ℝ112 occur as holonomies of torsion-free affine connections. It is also shown that the moduli spaces of torsion-free affine connections with these holonomies are finite dimensional, and that every such connection has a local symmetry group of positive dimension.

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14

Youssef, Nabil L., and Ebtsam H. Taha. "Connections in sub-Riemannian geometry of parallelizable distributions." International Journal of Geometric Methods in Modern Physics 14, no. 03 (February 14, 2017): 1750039. http://dx.doi.org/10.1142/s0219887817500396.

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The notion of a parallelizable distribution has been introduced and investigated. A non-integrable parallelizable distribution carries a natural sub-Riemannian structure. The geometry of this structure has been studied from the bi-viewpoint of absolute parallelism geometry and sub-Riemannian geometry. Two remarkable linear connections have been constructed on a sub-Riemannian parallelizable distribution, namely, the Weitzenböck connection and the sub-Riemannian connection. The obtained results have been applied to two concrete examples: the spheres [Formula: see text] and [Formula: see text].

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15

Singh, Anand P., and I. Perfilieva. "M-Fuzzifying Approximation Spaces, M-Fuzzifying Pretopological Spaces and M-Fuzzifying Closure Spaces." New Mathematics and Natural Computation 16, no. 03 (November 2020): 609–26. http://dx.doi.org/10.1142/s1793005720500374.

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In category theory, Galois connection plays a significant role in developing the connections among different structures. The objective of this work is to investigate the essential connections among several categories with a weaker structure than that of [Formula: see text]-fuzzifying topology, viz. category of [Formula: see text]-fuzzifying approximation spaces based on reflexive [Formula: see text]-fuzzy relations, category of [Formula: see text]-fuzzifying pretopological spaces and the category of [Formula: see text]-fuzzifying interior (closure) spaces. The interrelations among these structures are shown via the functorial diagram.

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Alt, Helmut, Sergio Cabello, Panos Giannopoulos, and Christian Knauer. "Minimum Cell Connection in Line Segment Arrangements." International Journal of Computational Geometry & Applications 27, no. 03 (September 2017): 159–76. http://dx.doi.org/10.1142/s0218195917500017.

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We study the complexity of the following cell connection problems in segment arrangements. Given a set of straight-line segments in the plane and two points [Formula: see text] and [Formula: see text] in different cells of the induced arrangement: [(i)] compute the minimum number of segments one needs to remove so that there is a path connecting [Formula: see text] to [Formula: see text] that does not intersect any of the remaining segments; [(ii)] compute the minimum number of segments one needs to remove so that the arrangement induced by the remaining segments has a single cell. We show that problems (i) and (ii) are NP-hard and discuss some special, tractable cases. Most notably, we provide a near-linear-time algorithm for a variant of problem (i) where the path connecting [Formula: see text] to [Formula: see text] must stay inside a given polygon [Formula: see text] with a constant number of holes, the segments are contained in [Formula: see text], and the endpoints of the segments are on the boundary of [Formula: see text]. The approach for this latter result uses homotopy of paths to group the segments into clusters with the property that either all segments in a cluster or none participate in an optimal solution.

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Dumitru, Dan. "Special multiply Einstein warped products with an affine connection." International Journal of Geometric Methods in Modern Physics 15, no. 07 (May 24, 2018): 1850107. http://dx.doi.org/10.1142/s0219887818501074.

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The aim of this paper is to study special multiply Einstein warped products having an affine connection. Let [Formula: see text] be a multiply warped product such that [Formula: see text] is an open interval, [Formula: see text] [Formula: see text] [Formula: see text] [Formula: see text] for every [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] an affine connection on [Formula: see text] We compute the warping functions that make [Formula: see text] an Einstein space in the following cases: (a) [Formula: see text] is a semi-symmetric metric/non-metric connection and all the fibers are Ricci flat. (b) [Formula: see text] is a quarter-symmetric metric/non-metric connection and all the fibers are Ricci flat.

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Stanfill, Craig, and Brewster Kahle. "Parallel free-text search on the connection machine system." Communications of the ACM 29, no. 12 (December 1986): 1229–39. http://dx.doi.org/10.1145/7902.7907.

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19

Portnyk, V. Ya. "On connection of education and text-books with life." Alma mater. Vestnik Vysshey Shkoly, no. 8 (August 2018): 100–101. http://dx.doi.org/10.20339/am.08-18.100.

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Bidar, Mohammadreza. "Connection blocking in $$\text {SL}(n,\mathbb {R})$$ quotients." Geometriae Dedicata 209, no. 1 (April 11, 2020): 135–48. http://dx.doi.org/10.1007/s10711-020-00527-5.

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Сenys, Tomas. "Intertextual analysis of Viktor Pelevin’s collection of novels Pineapple water for the Fair Lady." Literatūra 61, no. 2 (December 15, 2019): 97–109. http://dx.doi.org/10.15388/litera.2019.2.7.

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This article aims to analyze Viktor Pelevin’s collection of short stories Pineapple water for the Fair lady in the frame of intertextual theory. The analytical method used in this article is based on a typology developed by Gerard Genette. Using this typology, an analysis of transtextual connections present in the text was conducted. The analysis of paratextual connections in the texts made it possible to make an assumption that all the novels are connected by a specular structure. A closer inspection of the intertextual connection and references presented in the text established a connection with certain works of Nabokov. These references to various works of Nabokov allow to view Pelevin’s collection of short stories not as thematically disconnected narratives but as one cohesive entity.

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Medarametla, Dhruv, Eddie Cheng, Steven Cheng, and Lawrance Wu. "Linearly Many Edge-Faults in 2-Bijective Connection Networks." Parallel Processing Letters 25, no. 04 (December 2015): 1550006. http://dx.doi.org/10.1142/s0129626415500061.

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The class of 2-bijective connection networks (2BC networks) is defined recursively as follows: Let [Formula: see text] and for [Formula: see text], let [Formula: see text] be the set of all graphs that can be constructed by taking two (possibly the same) elements [Formula: see text] and [Formula: see text] from [Formula: see text] (if we take the same element, we will assume they are two different copies and so [Formula: see text] remains empty) with two bijections [Formula: see text] and [Formula: see text] to form the graph [Formula: see text] where [Formula: see text] and [Formula: see text] such that [Formula: see text]. This class of networks includes the class of augmented cubes. We study the structural properties of the resulting graph when “many” edges are deleted from such a network. We then mention some applications.

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Li, Zhenzhen, and Baoyindureng Wu. "Maximum value of conflict-free vertex-connection number of graphs." Discrete Mathematics, Algorithms and Applications 10, no. 05 (October 2018): 1850059. http://dx.doi.org/10.1142/s1793830918500593.

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A path in a vertex-colored graph is called conflict-free if there is a color used on exactly one of its vertices. A vertex-colored graph is said to be conflict-free vertex-connected if any two vertices of the graph are connected by a conflict-free path. The conflict-free vertex-connection number, denoted by [Formula: see text], is defined as the smallest number of colors required to make [Formula: see text] conflict-free vertex-connected. Li et al. [Conflict-free vertex-connections of graphs, preprint (2017), arXiv:1705.07270v1[math.CO]] conjectured that for a connected graph [Formula: see text] of order [Formula: see text], [Formula: see text]. We confirm that the conjecture is true and poses two relevant conjectures.

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NISHINOU, TAKEO. "GLOBAL GAUGE FIXING FOR CONNECTIONS WITH SMALL CURVATURE ON T2." International Journal of Mathematics 18, no. 02 (February 2007): 165–77. http://dx.doi.org/10.1142/s0129167x0700400x.

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Pahan, Sampa, Buddhadev Pal, and Arindam Bhattacharyya. "On Einstein warped products with a quarter-symmetric connection." International Journal of Geometric Methods in Modern Physics 14, no. 04 (March 8, 2017): 1750050. http://dx.doi.org/10.1142/s0219887817500505.

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This paper characterizes the warping functions for a multiply generalized Robertson–Walker space-time to get an Einstein space [Formula: see text] with a quarter-symmetric connection for different dimensions of [Formula: see text] (i.e. (1). dim [Formula: see text] (2). dim [Formula: see text]) when all the fibers are Ricci flat. Then we have also computed the warping functions for a Ricci flat Einstein multiply warped product spaces M with a quarter-symmetric connection for different dimensions of [Formula: see text] (i.e. (1). dim [Formula: see text] (2). dim [Formula: see text] (3). dim [Formula: see text]) and all the fibers are Ricci flat. In the last section, we have given two examples of multiply generalized Robertson–Walker space-time with respect to quarter-symmetric connection.

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Guin, Satyajit. "The tensor product of supersymmetric N = (1,1) spectral data." International Journal of Geometric Methods in Modern Physics 15, no. 12 (December 2018): 1850207. http://dx.doi.org/10.1142/s0219887818502079.

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We define the notion of tensor product of supersymmetric [Formula: see text] spectral data in the context of supersymmetric quantum theory and noncommutative geometry. We explain in which sense our definition is canonical and also establish its compatibility with the tensor product of [Formula: see text] spectral data defined earlier by Connes. As an application, we show that the unitary connections on the individual [Formula: see text] spectral data give rise to a unitary connection on the product [Formula: see text] spectral data.

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Rajpoot, Subhash, and Sergiu I. Vacaru. "Nonholonomic jet deformations, exact solutions for modified Ricci soliton and Einstein equations." International Journal of Geometric Methods in Modern Physics 14, no. 02 (January 18, 2017): 1750032. http://dx.doi.org/10.1142/s0219887817500323.

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Let [Formula: see text] be a pseudo-Riemannian metric of arbitrary signature on a manifold [Formula: see text] with conventional [Formula: see text]-dimensional splitting, [Formula: see text] determined by a nonholonomic (nonintegrable) distribution [Formula: see text] defining a generalized (nonlinear) connection and associated nonholonomic frame structures. We work with an adapted linear metric compatible connection [Formula: see text] and its nonzero torsion [Formula: see text], both completely determined by [Formula: see text]. Our first goal is to prove that there are certain generalized frame and/or jet transforms and prolongations with [Formula: see text] into explicit classes of solutions of some generalized Einstein equations [Formula: see text], [Formula: see text], encoding various types of (nonholonomic) Ricci soliton configurations and/or jet variables and symmetries. The second goal is to solve additional constraint equations for zero torsion, [Formula: see text], on generalized solutions constructed in explicit forms with jet variables and extract Levi-Civita configurations. This allows us to find generic off-diagonal exact solutions depending on all space time coordinates on [Formula: see text] via generating and integration functions and various classes of constant jet parameters and associated symmetries. Our third goal is to study how such generalized metrics and connections can be related by the so-called “half-conformal” and/or jet deformations of certain subclasses of solutions with one, or two, Killing symmetries. Finally, we present some examples of exact solutions constructed as nonholonomic jet prolongations of the Kerr metrics, with possible Ricci soliton deformations, and characterized by nonholonomic jet structures and generalized connections.

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Shaw, Steven L., Gail Fingado, Leslie J. Freeman, Mary Reinbold Jerome, and Catherine Vaden Summers. "The English Connection: A Content-Based Grammar and Discussion Text." TESOL Quarterly 26, no. 4 (1992): 755. http://dx.doi.org/10.2307/3586875.

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Sokolova, Galina Aleksandrovna. "The semantic connection of time and space in literary text." Interactive science, no. 8 (42) (August 19, 2019): 28–30. http://dx.doi.org/10.21661/r-497998.

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The article deals with the connection of time and space in literary text. It gives some definitions of the time-space concept, the chronotope; it presents different points of view of Russian linguists about the leading role of the chronotope components; it also lists the main ways of detecting the chronotope in literary work; it defines some features and characteristics of time and space in the chronotope.

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Liu, Yuliang, Lianwen Jin, Shuaitao Zhang, Canjie Luo, and Sheng Zhang. "Curved scene text detection via transverse and longitudinal sequence connection." Pattern Recognition 90 (June 2019): 337–45. http://dx.doi.org/10.1016/j.patcog.2019.02.002.

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Bao, Tao Tu, and Jian Hong Wang. "Designed Method of Eccentrically Loaded Welded Connections in AISC Specification for Structural Steel Buildings, 2005." Applied Mechanics and Materials 58-60 (June 2011): 344–47. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.344.

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Welded connection is a joined form in practical engineering. This text introduces the relevant contents of eccentrically loaded welded connections in AISC design code, Specification for Structural Steel Buildings, 2005, and arrives at conclusions which civil engineering technicians consult.

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Gallego Torromé, Ricardo. "Average of geometric structures in Finsler spaces with Lorentzian signature." International Journal of Geometric Methods in Modern Physics 18, no. 07 (March 15, 2021): 2150107. http://dx.doi.org/10.1142/s0219887821501073.

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Given the class of Finsler spaces with Lorentzian signature [Formula: see text] on a manifold [Formula: see text] endowed with a timelike vector field [Formula: see text] satisfying [Formula: see text] at any point [Formula: see text] of the slit tangent bundle, a pseudo-Riemannian metric defined on [Formula: see text] of signature [Formula: see text] is associated to the fundamental tensor [Formula: see text]. Furthermore, an affine, torsion free connection is associated to the Chern connection determined by [Formula: see text]. The definition of the average connection does not make use of [Formula: see text]. Therefore, there is no direct relation between these two averaged objects.

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Beri, Kavita. "Retracted: Exploring the microbiome and mindfulness connection." Future Science OA 6, no. 8 (September 1, 2020): FSO593. http://dx.doi.org/10.2144/fsoa-2020-0006.

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Maryati, Tita Khalis, and Bijan Davvaz. "A novel connection between rough sets, hypergraphs and hypergroups." Discrete Mathematics, Algorithms and Applications 09, no. 04 (August 2017): 1750044. http://dx.doi.org/10.1142/s1793830917500446.

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This paper presents a general framework for the study of the relations between hypergraphs and hypergroups based on approximation operators. Indeed, by a given hypergraph [Formula: see text], an equivalence relation [Formula: see text] on the set of vertices and using the notion of lower and upper approximations, we investigate two new hyperoperations on the set of vertices. In particular, by considering certain conditions on the equivalence relation [Formula: see text], we obtain two related [Formula: see text]-groups and we prove some results in this respect.

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35

Porta, Horacio A., and Kenneth B. Stolarsky. "A golden iterated map number system: Results and conjectures." International Journal of Number Theory 11, no. 05 (August 2015): 1617–31. http://dx.doi.org/10.1142/s179304211540014x.

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We construct a number system for representing numbers in [0, 1] that is based on iterations of an asymmetric tent map that incorporates the golden ratio. It is already known that in this system a number has a periodic representation if and only if it lies in [Formula: see text]. We investigate other aspects of this system such as non-uniquely representable numbers, an inherent semigroup structure, connections with Wythoff's game, related sequences of rational functions, and its connection with an iterative scheme reminiscent of paper folding analysis. Many details of the above-mentioned connections are conjectural.

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Popescu, Liviu. "Geometrical structures on the cotangent bundle." International Journal of Geometric Methods in Modern Physics 13, no. 05 (April 21, 2016): 1650071. http://dx.doi.org/10.1142/s0219887816500717.

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In this paper, we study the geometrical structures on the cotangent bundle using the notions of adapted tangent structure and regular vector fields. We prove that the dynamical covariant derivative on [Formula: see text] fix a nonlinear connection for a given [Formula: see text]-regular vector field. Using the Legendre transformation induced by a regular Hamiltonian, we show that a semi-Hamiltonian vector field on [Formula: see text] corresponds to a semispray on [Formula: see text] if and only if the nonlinear connection on [Formula: see text] is just the canonical nonlinear connection induced by the regular Lagrangian.

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BERCU, GABRIEL. "2D RICCI FLAT GRADIENT SOLITONS ARISING FROM REMARKABLE MODELS IN PHYSICS." International Journal of Geometric Methods in Modern Physics 10, no. 10 (October 8, 2013): 1350059. http://dx.doi.org/10.1142/s021988781350059x.

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On a pseudo-Riemannian manifold (M, g) we consider ∇ the Levi-Cività connection associated to metric g and a function f : M → ℝ whose pseudo-Riemannian Hessian [Formula: see text] is non-degenerate and with constant signature. We study properties of the pseudo-Riemannian manifold (M, h), [Formula: see text] in terms of local computation. Investigating the conditions for existence of the equal connections [Formula: see text], produced by g and h, we determine classes of explicit Ricci flat gradient solitons for some particular forms of g, arising from remarkable physics models.

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Baker, Mark Robert, and Sergei Kuzmin. "A connection between linearized Gauss–Bonnet gravity and classical electrodynamics." International Journal of Modern Physics D 28, no. 07 (May 2019): 1950092. http://dx.doi.org/10.1142/s0218271819500925.

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A connection between linearized Gauss–Bonnet gravity and classical electrodynamics is found by developing a procedure which can be used to derive completely gauge-invariant models. The procedure involves building the most general Lagrangian for a particular order of derivatives ([Formula: see text]) and a rank of tensor potential ([Formula: see text]), then solving such that the model is completely gauge-invariant (the Lagrangian density, equation of motion and energy–momentum tensor are all gauge-invariant). In the case of [Formula: see text] order of derivatives and [Formula: see text] rank of tensor potential, electrodynamics is uniquely derived from the procedure. In the case of [Formula: see text] order of derivatives and [Formula: see text] rank of symmetric tensor potential, linearized Gauss–Bonnet gravity is uniquely derived from the procedure. The natural outcome of the models for classical electrodynamics and linearized Gauss–Bonnet gravity from a common set of rules provides an interesting connection between two well-explored physical models.

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JANNUSSIS, A., and G. BRODIMAS. "CONNECTION BETWEEN Q-ALGEBRAS AND NONCANONICAL HEISENBERG ALGEBRAS." Modern Physics Letters A 15, no. 21 (July 10, 2000): 1385–90. http://dx.doi.org/10.1142/s0217732300001511.

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We stress the connection between [Formula: see text]-algebras and noncanonical Heisenberg algebras. We prove that the known Heisenberg–Weyl algebras for the deformed harmonic oscillators are partial cases of the Lie-admissible [Formula: see text]-algebras. We also point out the existence of a scale factor which plays an important role for the eigenvalue spectrum and for the generalized uncertainty Heisenberg relation. This factor has the form (Δx)(Δp) ≥ ℏ′/2 with ℏ′ = ℏκ and κ > 0.

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S. M., Hlazova. "FORMAL AND SEMANTIC INDICATORS OF EXPLANATORY CONNECTION OF THE TEXT PARTS." Scientific Bulletin of Kherson State University. Series Linguistics, no. 37 (December 27, 2019): 7–11. http://dx.doi.org/10.32999/ksu2413-3337/2019-37-1.

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41

Kraft, Robert A. "Towards Assessing the Latin Text of “5 Ezra”: the “Christian” Connection." Harvard Theological Review 79, no. 1-3 (July 1986): 158–69. http://dx.doi.org/10.1017/s0017816000020423.

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5 Ezra is a curious and challenging little work, crying out for detailed examination. It exists only in Latin, which presumably was translated from Greek. The text has received minimal attention from modern scholarship, despite its presence on the fringes of the Christian canonical scriptures. 5 Ezra provides living proof that one need not wait for new manuscripts to be uncovered in graves or caves to engage in work on hitherto virtually unexamined materials, and its contents seem directly relevant to questions about early Christian use of Jewish materials.

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Dutta, Kalpita, Malyaban Bal, Arpita Basak, Swarnendu Ghosh, Nibaran Das, Mahantapas Kundu, and Mita Nasipuri. "Multi scale mirror connection based encoder decoder network for text localization." Pattern Recognition Letters 135 (July 2020): 64–71. http://dx.doi.org/10.1016/j.patrec.2020.04.002.

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Fan, Guangzhe, Yanyong Hong, and Yucai Su. "Generalized conformal derivations of Lie conformal algebras." Journal of Algebra and Its Applications 18, no. 09 (July 17, 2019): 1950175. http://dx.doi.org/10.1142/s0219498819501755.

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Let [Formula: see text] be a finite Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra [Formula: see text], the conformal quasiderivation algebra [Formula: see text] and the generalized conformal derivation algebra [Formula: see text]. The generalized conformal derivation algebra is a natural generalization of the conformal derivation algebra. Obviously, we have the following tower [Formula: see text], where [Formula: see text] is the general Lie conformal algebra. Furthermore, we mainly research the connection of these generalized conformal derivations. Finally, the conformal [Formula: see text]-derivations of Lie conformal algebras are studied. Moreover, we obtain some connections between several specific generalized conformal derivations and the conformal [Formula: see text]-derivations. In addition, all conformal [Formula: see text]-derivations of finite simple Lie conformal algebras are characterized.

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Biswas, Indranil, Ananyo Dan, Arjun Paul, and Arideep Saha. "Logarithmic connections on principal bundles over a Riemann surface." International Journal of Mathematics 28, no. 12 (November 2017): 1750088. http://dx.doi.org/10.1142/s0129167x17500884.

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Let [Formula: see text] be a holomorphic principal [Formula: see text]-bundle on a compact connected Riemann surface [Formula: see text], where [Formula: see text] is a connected reductive complex affine algebraic group. Fix a finite subset [Formula: see text], and for each [Formula: see text] fix [Formula: see text]. Let [Formula: see text] be a maximal torus in the group of all holomorphic automorphisms of [Formula: see text]. We give a necessary and sufficient condition for the existence of a [Formula: see text]-invariant logarithmic connection on [Formula: see text] singular over [Formula: see text] such that the residue over each [Formula: see text] is [Formula: see text]. We also give a necessary and sufficient condition for the existence of a logarithmic connection on [Formula: see text] singular over [Formula: see text] such that the residue over each [Formula: see text] is [Formula: see text], under the assumption that each [Formula: see text] is [Formula: see text]-rigid.

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Mao, Yaping, Zhao Wang, Fengnan Yanling, and Chengfu Ye. "Monochromatic connectivity and graph products." Discrete Mathematics, Algorithms and Applications 08, no. 01 (February 26, 2016): 1650011. http://dx.doi.org/10.1142/s1793830916500117.

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The concept of monochromatic connectivity was introduced by Caro and Yuster. A path in an edge-colored graph is called a monochromatic path if all the edges on the path are colored the same. An edge-coloring of [Formula: see text] is a monochromatic connection coloring ([Formula: see text]-coloring, for short) if there is a monochromatic path joining any two vertices in [Formula: see text]. The monochromatic connection number, denoted by [Formula: see text], is defined to be the maximum number of colors used in an [Formula: see text]-coloring of a graph [Formula: see text]. In this paper, we study the monochromatic connection number on the lexicographical, strong, Cartesian and direct products and present several upper and lower bounds for these products of graphs.

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Bakhshandeh-Chamazkoti, Rohollah, and Mehdi Nadjafikhah. "The stability of a connection on Hermitian vector bundles over a Riemannian manifold." Asian-European Journal of Mathematics 09, no. 01 (February 22, 2016): 1650001. http://dx.doi.org/10.1142/s1793557116500017.

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In this attempt, the stability of a connection on Hermitian vector bundles over a Riemannian manifold for the generalized Jensen-type functional equation [Formula: see text] is discussed. In fact, the main purpose of this paper is to prove the generalized Hyers–Ulam–Rassias stability of connection on between Hermitian [Formula: see text] and [Formula: see text]. Also we will use the fixed point method to prove the stability of this connection for the above generalized Jensen-type functional equation.

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Nethercot, David A., Patrick A. Kirby, and Abdussalam M. Rifai. "Columns in partially restrained construction: analytical studies." Canadian Journal of Civil Engineering 14, no. 4 (August 1, 1987): 485–97. http://dx.doi.org/10.1139/l87-073.

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The American Institute of Steel Construction Proposed Load and Resistance Factor Design Specification recognizes the ability of connections that function as less than fully rigid to transmit limited moments and to provide some measure of end restraint to columns in its definition of partially restrained (PR) construction. An analytical procedure for determining the response up to collapse of subassemblages in which semirigid beam-to-column connections are present is derived. This employs a nonlinear finite element column analysis together with analytical representation of experimentally determined connection moment–rotation [Formula: see text] curves. To trace the full response under any load path produced by a combination of beam loads and direct column load, it is necessary to allow for possible reversal in the direction of rotation of any of the connections. The program is used to study the effect of different connection types (ranging from very flexible web cleats to almost rigid extended end plates) and different load paths on column behaviour in nonsway subassemblages. It is found that the degree of rotation required from each connection is an important parameter in determining column response. Key words: buckling, columns, connections, frames, stability, steel, structural design, structures.

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He, Jian-Hua, and Bin Wang. "The interaction between dark energy and dark matter and its connection to the modified gravity." International Journal of Modern Physics A 30, no. 28n29 (October 20, 2015): 1545012. http://dx.doi.org/10.1142/s0217751x15450128.

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We review the conformal equivalence in describing the background expansion of the universe by [Formula: see text] gravity both in the Jordan frame and the Einstein frame. In the Jordan frame, we present the general analytic expression for [Formula: see text] models that have the same expansion history as the [Formula: see text]CDM model. This analytic form can provide further insights on how cosmology can be used to test the [Formula: see text] gravity at the largest scales. Moreover we present a systematic and self-consistent way to construct the viable [Formula: see text] model in Jordan frame using the mass dilation rate function from the Einstein frame through the conformal transformation. In addition, we extend our study to the linear perturbation theories and we further exhibit the equivalence of the [Formula: see text] gravity presented in the Jordan frame and Einstein frame in the perturbed space–time. We argue that this equivalence has solid physics root.

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Marcos, Eduardo N., Octavio Mendoza, Corina Sáenz, and Valente Santiago. "Wide subcategories of finitely generated Λ-modules." Journal of Algebra and Its Applications 17, no. 05 (April 26, 2018): 1850082. http://dx.doi.org/10.1142/s0219498818500822.

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We explore some properties of wide subcategories of the category [Formula: see text] of finitely generated left [Formula: see text]-modules, for some artin algebra [Formula: see text] In particular we look at wide finitely generated subcategories and give a connection with the class of standard modules and standardly stratified algebras. Furthermore, for a wide class [Formula: see text] in [Formula: see text] we give necessary and sufficient conditions to see that [Formula: see text] for some projective [Formula: see text]-module [Formula: see text] and finally, a connection with ring epimorphisms is given.

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Rosales-Quintero, J. E. "Antiself-dual gravity and supergravity from a pure connection formulation." International Journal of Modern Physics A 31, no. 12 (April 28, 2016): 1650064. http://dx.doi.org/10.1142/s0217751x16500640.

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We consider a pure connection action plus additional algebraic constraints that are suitable for a straightforward supergroup extension. By taking as an internal group [Formula: see text], the action reduces to the Capovilla, Dell and Jacobson approach. By taking as an internal symmetry the supergroup [Formula: see text], and by means of the Bianchi identity and integrability conditions, the equations of motion are those that could be found from antiself-dual supergravity [Formula: see text] with cosmological constant sector.

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