Статті в журналах: "Projective"

1

COOPER, ARNOLD M. "Projection, Identification, Projective Identification." American Journal of Psychiatry 146, no. 4 (April 1989): 540–41. http://dx.doi.org/10.1176/ajp.146.4.540.

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2

Roman, Pascal. "Méthode projective et épreuves projectives." La psychologie projective, no. 18 (April 1, 1995): 4–6. http://dx.doi.org/10.35562/canalpsy.2483.

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3

Mahler, Taylor. "The social component of the projection behavior of clausal complement contents." Proceedings of the Linguistic Society of America 5, no. 1 (April 13, 2020): 777. http://dx.doi.org/10.3765/plsa.v5i1.4703.

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Some accounts of presupposition projection predict that content's consistency with the Common Ground influences whether it projects (e.g., Heim 1983, Gazdar 1979a,b). I conducted an experiment to test whether Common Ground information about the speaker's social identity influences projection of clausal complement contents (CCs). Participants rated the projection of CCs conveying liberal or conservative political positions when the speaker was either Democrat- or Republican-affiliated. As expected, CCs were more projective when they conveyed political positions consistent with the speaker's political affiliation: liberal CCs were more projective with Democrat compared to Republican speakers, and conservative CCs were more projective with Republican compared to Democrat speakers. In addition, CCs associated with factive predicates (e.g., know) were more projective than those associated with non-factive predicates (e.g., believe). These findings suggest that social meaning influences projective meaning and that social meaning is constrained by semantic meaning, in line with previous research on the relation between other levels of linguistic structure/perception and social information.

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4

Tabatabaeifar, Tayebeh, Behzad Najafi, and Akbar Tayebi. "Weighted projective Ricci curvature in Finsler geometry." Mathematica Slovaca 71, no. 1 (January 29, 2021): 183–98. http://dx.doi.org/10.1515/ms-2017-0446.

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Abstract In this paper, we introduce the weighted projective Ricci curvature as an extension of projective Ricci curvature introduced by Z. Shen. We characterize the class of Randers metrics of weighted projective Ricci flat curvature. We find the necessary and sufficient condition under which a Kropina metric has weighted projective Ricci flat curvature. Finally, we show that every projectively flat metric with isotropic weighted projective Ricci and isotropic S-curvature is a Kropina metric or Randers metric.

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5

Latifi, Dariush, and Asadollah Razavi. "Generalized Projectively Symmetric Spaces." Geometry 2013 (February 4, 2013): 1–5. http://dx.doi.org/10.1155/2013/292691.

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We study generalized projectively symmetric spaces. We first study some geometric properties of projectively symmetric spaces and prove that any such space is projectively homogeneous and under certain conditions the projective curvature tensor vanishes. Then we prove that given any regular projective s-space (, ), there exists a projectively related connection , such that (, ) is an affine s-manifold.

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6

Luan, Guang Yu, Xue Dong Zhu, Ai Chuan Li, Zhen Su Lv, and Ren Sheng Che. "Frame Reconstruction with Missing Data from Multiple Images." Applied Mechanics and Materials 239-240 (December 2012): 1158–64. http://dx.doi.org/10.4028/www.scientific.net/amm.239-240.1158.

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To solve the missing data problem that is caused by reasons, such as occlusion, frame reconstruction by a two-level strategy in multiple images was considered. The method first performed a projective reconstruction combining singular value decomposition (SVD) and subspace method with missing data, which estimated projective shape, projection matrices, projective depths and missing data iteratively. Then it converted the projective solution to a Euclidean one with the unknown focal length and the constant principal point by enforcing constraints. Using the constraints and the fact that scale measurement matrix can recover numberless projection matrices and point matrices, the set equations of the transformation matrix from the projective reconstruction to Euclidean reconstruction were obtained. Experimental results using real images are provided to illustrate the performance of the proposed method.

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7

Hazra, Dipankar, Chand De, Sameh Shenawy, and Abdallah Abdelhameed Syied. "Some geometric and physical properties of pseudo m*-projective symmetric manifolds." Filomat 37, no. 8 (2023): 2465–82. http://dx.doi.org/10.2298/fil2308465h.

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In this study we introduce a new tensor in a semi-Riemannian manifold, named the M*-projective curvature tensor which generalizes the m-projective curvature tensor. We start by deducing some fundamental geometric properties of the M*-projective curvature tensor. After that, we study pseudo M*-projective symmetric manifolds (PM?S)n. A non-trivial example has been used to show the existence of such a manifold. We introduce a series of interesting conclusions. We establish, among other things, that if the scalar curvature ? is non-zero, the associated 1-form is closed for a (PM?S)n with divM* = 0. We also deal with pseudo M*-projective symmetric spacetimes, M*-projectively flat perfect fluid spacetimes, and M*-projectively flat viscous fluid spacetimes. As a result, we establish some significant theorems.

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8

Wei, Jiaqun. "Gorenstein homological theory for differential modules." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 3 (June 2015): 639–55. http://dx.doi.org/10.1017/s0308210513000541.

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We show that a differential module is Gorenstein projective (injective, respectively) if and only if its underlying module is Gorenstein projective (injective, respectively). We then relate the Ringel–Zhang theorem on differential modules to the Avramov–Buchweitz–Iyengar notion of projective class of differential modules and prove that for a ring R there is a bijective correspondence between projectively stable objects of split differential modules of projective class not more than 1 and R-modules of projective dimension not more than 1, and this is given by the homology functor H and stable syzygy functor ΩD. The correspondence sends indecomposable objects to indecomposable objects. In particular, we obtain that for a hereditary ring R there is a bijective correspondence between objects of the projectively stable category of Gorenstein projective differential modules and the category of all R-modules given by the homology functor and the stable syzygy functor. This gives an extended version of the Ringel–Zhang theorem.

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9

Podestà, Fabio. "Projective submersions." Bulletin of the Australian Mathematical Society 43, no. 2 (April 1991): 251–56. http://dx.doi.org/10.1017/s0004972700029014.

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We consider C∞ manifolds endowed with torsionfree affine connections and C∞ projective submersions between them which, by definition, map geodesics into geodesics up to parametrisation. After giving a differential characterisation of these mappings, we deal with the case when one of the given connections is projectively flat or satisfies certain conditions concerning its Ricci tensor; under these hypotheses we prove that the projective submersion is actually a covering.

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10

Tregnier, Claude. "Projection, identification projective et représentations intrapsychiques." Psychologie clinique et projective 21, no. 1 (2015): 93. http://dx.doi.org/10.3917/pcp.021.0093.

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11

Robertson, Brian M. "Book Review: Projection, Identification, Projective Identification." Canadian Journal of Psychiatry 35, no. 8 (November 1990): 712–13. http://dx.doi.org/10.1177/070674379003500814.

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12

Knapp, Harriet D. "Projective identification: Whose projection-whose identity?" Psychoanalytic Psychology 6, no. 1 (1989): 47–58. http://dx.doi.org/10.1037/0736-9735.6.1.47.

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13

Ubaidillah, Muhammad Izzat. "Proyeksi Geometri Fuzzy pada Ruang." CAUCHY 2, no. 3 (November 15, 2012): 139. http://dx.doi.org/10.18860/ca.v2i3.3123.

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<div class="standard"><a id="magicparlabel-481">Fuzzy geometry is an outgrowth of crisp geometry, which in crisp geometry elements are exist and not exist, but also while on fuzzy geometry elements are developed by thickness which is owned by each of these elements. Crisp projective geometries is the formation of a shadow of geometries element projected on the projectors element, with perpendicular properties which are represented by their respective elemental, the discussion focused on the results of the projection coordinates. While the fuzzy projective geometries have richer discussion, which includes about coordinates of projection results, the mutual relation of each element and the thickness of each element. This research was conducted to describe and analyzing procedure fuzzy projective geometries on the plane and explain the differences between crisp projective geometries and fuzzy projective geometries on plane.</a></div>

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14

Abd, Abdulhadi Ahmed. "Projective Tensor of Almost Kahler Manifold." Samarra Journal of Pure and Applied Science 6, no. 1 (March 30, 2024): 263–70. http://dx.doi.org/10.54153/sjpas.2024.v6i1.799.

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The work from this search is analyze the geometrical characteristics of conharmonic tensor of projectine Almost kahler menifold. we use the projective curvature tensor's flatness properties to determine the projective tensor's Almost kahler manifold compounds. (AK-manifold). And found some components Projective of Almost Kahler. proved that the manifold M is a flat holomorphic sectional tensor of projective Almost Kahlar manifold. Prove that the manifold M has J-invariant Ricci tensor. Proved that (AK-manifold) M is kahler manifold. Finally, there exists relation between Almost Kahlar manifold (AK-manifold) and Lacally confermal Kähler menifold (LCK-manifeld) has been found.

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15

Uchino, K. "Arnold's Projective Plane and -Matrices." Advances in Mathematical Physics 2010 (2010): 1–9. http://dx.doi.org/10.1155/2010/956128.

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We will explain Arnold's 2-dimensional (shortly, 2D) projective geometry (Arnold, 2005) by means of lattice theory. It will be shown that the projection of the set of nontrivial triangular -matrices is the pencil of tangent lines of a quadratic curve on Arnold's projective plane.

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16

Gainutdinov, Azat M., and Ingo Runkel. "Projective objects and the modified trace in factorisable finite tensor categories." Compositio Mathematica 156, no. 4 (March 26, 2020): 770–821. http://dx.doi.org/10.1112/s0010437x20007034.

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For ${\mathcal{C}}$ a factorisable and pivotal finite tensor category over an algebraically closed field of characteristic zero we show:(1)${\mathcal{C}}$ always contains a simple projective object;(2)if ${\mathcal{C}}$ is in addition ribbon, the internal characters of projective modules span a submodule for the projective $\text{SL}(2,\mathbb{Z})$-action;(3)the action of the Grothendieck ring of ${\mathcal{C}}$ on the span of internal characters of projective objects can be diagonalised;(4)the linearised Grothendieck ring of ${\mathcal{C}}$ is semisimple if and only if ${\mathcal{C}}$ is semisimple.Results (1)–(3) remain true in positive characteristic under an extra assumption. Result (1) implies that the tensor ideal of projective objects in ${\mathcal{C}}$ carries a unique-up-to-scalars modified trace function. We express the modified trace of open Hopf links coloured by projectives in terms of $S$-matrix elements. Furthermore, we give a Verlinde-like formula for the decomposition of tensor products of projective objects which uses only the modular $S$-transformation restricted to internal characters of projective objects. We compute the modified trace in the example of symplectic fermion categories, and we illustrate how the Verlinde-like formula for projective objects can be applied there.

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17

Prakasha, D. G., та Vasant Chavan. "On M-Projective Curvature Tensor of Lorentzian α-Sasakian Manifolds". International Journal of Pure Mathematical Sciences 18 (серпень 2017): 22–31. http://dx.doi.org/10.18052/www.scipress.com/ijpms.18.22.

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In this paper, we study the nature of Lorentzianα-Sasakian manifolds admitting M-projective curvature tensor. We show that M-projectively flat and irrotational M-projective curvature tensor of Lorentzian α-Sasakian manifolds are locally isometric to unit sphere Sn(c) , wherec = α2. Next we study Lorentzianα-Sasakian manifold with conservative M-projective curvature tensor. Finally, we find certain geometrical results if the Lorentzianα-Sasakian manifold satisfying the relation M(X,Y)⋅R=0.

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18

Li, Huanhuan. "The Projective Leavitt Complex." Proceedings of the Edinburgh Mathematical Society 61, no. 4 (August 15, 2018): 1155–77. http://dx.doi.org/10.1017/s001309151800007x.

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AbstractFor a finite quiverQwithout sources, we consider the corresponding radical square zero algebraA. We construct an explicit compact generator for the homotopy category of acyclic complexes of projectiveA-modules. We call such a generator the projective Leavitt complex ofQ. This terminology is justified by the following result: the opposite differential graded endomorphism algebra of the projective Leavitt complex ofQis quasi-isomorphic to the Leavitt path algebra ofQop. Here,Qopis the opposite quiver ofQ, and the Leavitt path algebra ofQopis naturally${\open Z}$-graded and viewed as a differential graded algebra with trivial differential.

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19

Gibeault, Alain. "De la projection et de l'identification projective." Revue française de psychanalyse 64, no. 3 (2000): 723. http://dx.doi.org/10.3917/rfp.g2000.64n3.0723.

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20

Lehmann, Dirk J., and Holger Theisel. "General Projective Maps for Multidimensional Data Projection." Computer Graphics Forum 35, no. 2 (May 2016): 443–53. http://dx.doi.org/10.1111/cgf.12845.

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21

Fahrenkopf, Max A., James W. Schneider, and B. Erik Ydstie. "Projective Integration with an Adaptive Projection Horizon." IFAC Proceedings Volumes 46, no. 32 (December 2013): 721–25. http://dx.doi.org/10.3182/20131218-3-in-2045.00104.

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22

Vazzana, Dana R. "Projection of five lines in projective space." Illinois Journal of Mathematics 45, no. 4 (October 2001): 1261–71. http://dx.doi.org/10.1215/ijm/1258138065.

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23

Teszáry, Judith. "Projection and projective identification in experiential settings." PSICOBIETTIVO, no. 3 (December 2022): 123–28. http://dx.doi.org/10.3280/psob2022-003012.

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This article describes experiences where projection, projective iden- tification and division are plausible and adequate concepts in the so-called action exploration of human relations in crises. It mainly concerns the creation of an enemy in war but even in other heavy relational problems. Methods of sociodra- ma on a group level and psychodrama on an individual level are used both to monitor and deal with these defence mechanisms.

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24

Malancharuvil, Joseph M. "Projection, Introjection, and Projective Identification: A Reformulation." American Journal of Psychoanalysis 64, no. 4 (December 2004): 375–82. http://dx.doi.org/10.1007/s11231-004-4325-y.

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25

Jing, Xiao Yuan, Min Li, Yong Fang Yao, Song Hao Zhu, and Sheng Li. "A New Kernel Orthogonal Projection Analysis Approach for Face Recognition." Advanced Materials Research 760-762 (September 2013): 1627–32. http://dx.doi.org/10.4028/www.scientific.net/amr.760-762.1627.

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In the field of face recognition, how to extract effective nonlinear discriminative features is an important research topic. In this paper, we propose a new kernel orthogonal projection analysis approach. We obtain the optimal nonlinear projective vector which can differentiate one class and its adjacent classes, by using the Fisher criterion and constructing the specific between-class and within-class scatter matrices in kernel space. In addition, to eliminate the redundancy among projective vectors, our approach makes every projective vector satisfy locally orthogonal constraints by using the corresponding class and part of its most adjacent classes. Experimental results on the public AR and CAS-PEAL face databases demonstrate that the proposed approach outperforms several representative nonlinear projection analysis methods.

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26

Kalmbach H.E., Gudrun. "Projective Gravity." International Journal of Contemporary Research and Review 9, no. 03 (March 13, 2018): 20181–83. http://dx.doi.org/10.15520/ijcrr/2018/9/03/466.

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In [1] and [3] it was pointed out that octonians can replace an infinite dimensional Hilbert space and psi-waves descriptions concerning the states of deuteron which are finite in number. It is then clear that gravity needs projective and projection geometry to be described in a unified way with the three other basic forces of physics.

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27

Simons, Mandy, Judith Tonhauser, David Beaver, and Craige Roberts. "What projects and why." Semantics and Linguistic Theory, no. 20 (April 3, 2015): 309. http://dx.doi.org/10.3765/salt.v0i20.2584.

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Projection is widely used as a diagnostic for presupposition, but many expression types yield projection even though they do not have standard properties of presupposition, for example appositives, expressives, and honorifics (Potts 2005). While it is possible to analyze projection piecemeal, clearly a unitary explanation is to be preferred. Yet we show that standard explanations of projective behavior (common ground based theories, anaphoric theories, and multi-dimensional theories) do not extend to the full range of triggers. Instead, we propose an alternative explanation based on the following claim: Meanings project IFF they are not at-issue, where at-issueness is defined in terms of the Roberts' (1995) discourse theory. Thus, and despite their apparent heterogeneity, projective meaning triggers emerge as a natural class on the basis of the not at-issue status of their projective inference.

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28

Simons, Mandy, Judith Tonhauser, David Beaver, and Craige Roberts. "What projects and why." Semantics and Linguistic Theory 20 (August 14, 2010): 309. http://dx.doi.org/10.3765/salt.v20i0.2584.

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Projection is widely used as a diagnostic for presupposition, but many expression types yield projection even though they do not have standard properties of presupposition, for example appositives, expressives, and honorifics (Potts 2005). While it is possible to analyze projection piecemeal, clearly a unitary explanation is to be preferred. Yet we show that standard explanations of projective behavior (common ground based theories, anaphoric theories, and multi-dimensional theories) do not extend to the full range of triggers. Instead, we propose an alternative explanation based on the following claim: Meanings project IFF they are not at-issue, where at-issueness is defined in terms of the Roberts' (1995) discourse theory. Thus, and despite their apparent heterogeneity, projective meaning triggers emerge as a natural class on the basis of the not at-issue status of their projective inference.

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29

Cherneyko, L. O. "The Concept of “Projection” and “Projective Meaning” in the Term System of Cognitive Linguistics." Critique and Semiotics 37, no. 2 (2019): 158–70. http://dx.doi.org/10.25205/2307-1737-2019-2-158-170.

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The paper proposes a nontrivial approach to the study of the mechanism of associating meanings and words in speech, which allows us to consider not their equal connection, but the projection of the unknown and/or incomprehensible to the elements of experience – a collective, molded in usual compatibility of language units, or an individual that creates occasional compatibility. The purpose of the study is to provide a detailed theoretical justification for the use of the term “projection” in cognitive linguistics and in cognitive poetics as an emerging paradigm of knowledge about the artistic text, as well as the term “projective meaning”, which allows us to approach such traditionally distinguished paths as metaphor, comparison and metamorphosis from a single point of view. The theoretical basis of the research is the concept of grammaticality of abstract substantives with secondary predicates developed by the author, the method of modeling culturally developed and artistic ideas on the abstract phenomenon calculated in projective meanings, and the principles of linguistic modeling of the semantic structure of artistic text. The argument of the relevance of the term “projection” in linguistics is based on the scientific achievements of domestic and foreign linguists, but the historical perspective requires recognition of the priority in developing a method that later received the name “conceptual analysis of the word” for such domestic linguists as A. Bely and V. A. Uspensky. In the mathematical term “projection”, which is adopted by linguistics relevant for cognitive science, the idea of dependence of the unknown on the known in the process of its mental development, as well as the idea of the “picture plane”, which can be interpreted as applied to linguistic tasks as an object plane filled with the results of everyday experience. Projective meanings (projectives) are proposed to be considered as sensual and logical images of an abstract phenomenon, in which its meaningful cultural profiles (sides, aspects) are conceptualized and which guide the compatibility of its name, and the set of projectives is a verifiable model of the content of an abstract name. The article proposes the establishment of similarity (by projectivity) of cognitive metaphors and comparisons and their cognitive and structural differences: logical redundancy of comparison and the logical need for a cognitive metaphor for the discursive existence of abstract names. In comparison, as a kind of widely understood metaphor, there is a “form-building instinct” (O. Mandelstam), in which knowledge prevails over vision, metaphysics over physics, individual over universal.

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30

Kreuzer, Alexander. "Projective embedding of projective spaces." Bulletin of the Belgian Mathematical Society - Simon Stevin 5, no. 2/3 (1998): 363–72. http://dx.doi.org/10.36045/bbms/1103409016.

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31

Friedman, Sy, and David Schrittesser. "Projective Measure Without Projective Baire." Memoirs of the American Mathematical Society 267, no. 1298 (September 2020): 0. http://dx.doi.org/10.1090/memo/1298.

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32

Guo, Jun, Yanchao Shi, Weihua Luo, Yanzhao Cheng, and Shengye Wang. "Exponential projective synchronization analysis for quaternion-valued memristor-based neural networks with time delays." Electronic Research Archive 31, no. 9 (2023): 5609–31. http://dx.doi.org/10.3934/era.2023285.

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<abstract><p>The issues of exponential projective synchronization and adaptive exponential projective synchronization are analyzed for quaternion-valued memristor-based neural networks (QVMNNs) with time delays. Different from the results of existing decomposition techniques, a direct analytical approach is used to discuss the projection synchronization problem. First, in the framework of measurable selection and differential inclusion, the QVMNNs is transformed into a system with parametric uncertainty. Next, the sign function related to quaternion is introduced. Different proper control schemes are designed and several criteria for ascertaining exponential projective synchronization and adaptive exponential projective synchronization are derived based on Lyapunov theory and the properties of sign function. Furthermore, several corollaries about global projective synchronization are proposed. Finally, the reliability and validity of our results are substantiated by two numerical examples and its corresponding simulation.</p></abstract>

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33

Zhu, Darui, Rui Wang, Chongxin Liu, and Jiandong Duan. "Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength." International Journal of Modern Physics C 30, no. 07 (July 2019): 1940013. http://dx.doi.org/10.1142/s0129183119400138.

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This paper presents an adaptive projective pinning control method for fractional-order complex network. First, based on theories of complex network and fractional calculus, some preliminaries of mathematics are given. Then, an analysis is conducted on the adaptive projective pinning control theory for fractional-order complex network. Based on the projective synchronization control method and the combined adaptive pinning feedback control method, suitable projection synchronization scale factor, adaptive feedback controller and the node selection algorithm are designed to illustrate the synchronization for fractional-order hyperchaotic complex network. Simulation results show that all nodes are stabilized to equilibrium point. Theoretical analysis and simulation results demonstrate that the designed adaptive projective pinning controllers are efficient.

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34

Velmans, Max. "How to investigate perceptual projection: a commentary on Pereira Jr., “The projective theory of consciousness: from neuroscience to philosophical psychology”." Trans/Form/Ação 41, spe (2018): 233–42. http://dx.doi.org/10.1590/0101-3173.2018.v41esp.12.p233.

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Abstract: This commentary focuses on the scientific status of perceptual projection-a central feature of Pereira’s projective theory of consciousness. In his target article, he draws on my own earlier work to develop an explanatory framework for integrating first-person viewable conscious experience with the third-person viewable neural correlates and antecedent causes that form conscious experience into a bipolar structure that contains both a sense of self (created by interoceptive projective processes) and a sense of the world (created by exteroceptive projective processes). I stress that perceptual projection is a psychological effect (not an explanation for that effect) and list many of the ways it has been studied within experimental psychology, for example in studies of depth perception in vision and audition and experiences of depth arising from cues arranged on two-dimensional surfaces in stereoscopic pictures, 3D cinemas, holograms, and virtual realities. I then juxtapose Pereira’s explanatory model with two other models that have similar aims and background assumptions but different orientations, Trehub’s Retinoid model, which focuses largely on the neural functioning of the visual system, and Rudrauf et al’s Projective Consciousness Model, which draws largely on projective geometries to specify the requirements of organisms that need to navigate a three-dimensional world, and how these might be implemented in human information processing. Together, these models illustrate both converging and diverging approaches to understanding the role of projective processes in human consciousness.

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35

LAROSE, BENOIT. "MINIMAL AUTOMORPHIC POSETS AND THE PROJECTION PROPERTY." International Journal of Algebra and Computation 05, no. 01 (February 1995): 65–80. http://dx.doi.org/10.1142/s0218196795000069.

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We present some results concerning the projection property for finite ordered sets. We show that sums of non-trivial ramified ordered sets over a connected poset of at least two elements are projective. We construct a family of minimal automorphic posets of reach 2 and length 2 and show they are projective.

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36

L'Vovsky, S. "On Curves and Surfaces with Projectively Equivalent Hyperplane Sections." Canadian Mathematical Bulletin 37, no. 3 (September 1, 1994): 384–92. http://dx.doi.org/10.4153/cmb-1994-056-8.

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AbstractIn this paper we describe projective curves and surfaces such that almost all their hyperplane sections are projectively equivalent. Our description is complete for curves and close to being complete for smooth surfaces. In the appendix we make some remarks on connections between the mentioned property of a projective variety and its adjunction properties.

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37

Gu, Guang Hui, and Yong Fu Su. "Generalized System for Relaxed Cocoercive and Involving Projective Nonexpansive Mapping Variational Inequalities." Advanced Materials Research 393-395 (November 2011): 792–95. http://dx.doi.org/10.4028/www.scientific.net/amr.393-395.792.

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Firstly, the concept of projective nonexpansive mappings is presented in this paper. The approximate solvability of a generalized system for relaxed cocoercive and involving projective nonexpansive mapping nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of projection methods. The results presented in this paper extend and improve the main results of many authors.

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38

Creţu, Georgeta. "New classes of projectively related Finsler metrics of constant flag curvature." International Journal of Geometric Methods in Modern Physics 17, no. 05 (March 20, 2020): 2050068. http://dx.doi.org/10.1142/s0219887820500681.

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We define a Weyl-type curvature tensor of [Formula: see text]-type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective invariant only to projective factors that are Hamel functions. Based on this aspect, we construct new families of projectively related Finsler metrics that have constant flag curvature.

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39

Gopinath, S., G. Kowsalya, K. Sakthivel, and S. Arularasi. "A Proposed Clustering Algorithm for Efficient Clustering of High-Dimensional Data." Journal of Information Technology and Cryptography 1, no. 1 (June 25, 2023): 14–21. http://dx.doi.org/10.48001/joitc.2023.1114-21.

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To partition transaction data values, clustering algorithms are used. To analyse the relationships between transactions, similarity measures are utilized. Similarity models based on vectors perform well with low-dimensional data. High-dimensional data values are clustered using subspace clustering techniques. Clustering high-dimensional data is difficult due to the curse of dimensionality. Projective clustering seeks out projected clusters in subsets of a data space's dimensions. In high-dimensional data space, a probability model represents predicted clusters. A model-based fuzzy projection clustering method to find clusters with overlapping boundaries in different projection subspaces. The system employs the Model Based Projective Clustering (MPC) method. To cluster high-dimensional data, projective clustering algorithms are used. A subspace clustering technique is the model-based projective clustering algorithm. Similarity analysis use non-axis-subspaces. Anomaly transactions are segmented using projected clusters. The suggested system is intended to cluster objects in high-dimensional spaces. The similarity analysis includes non-access subspaces. The clustering procedure validates anomaly data values with similarity. The subspace selection procedure has been optimized. A subspace clustering approach is the model-based projective clustering algorithm. Similarity analysis use non-axis-subspaces. Anomaly transactions are segmented using projected clusters. The suggested system is intended to cluster objects in high-dimensional spaces. The similarity analysis includes non-access subspaces. The clustering procedure validates anomaly data values with similarity. The subspace selection procedure has been improved.

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40

Xin, Baogui, and Tong Chen. "Projective Synchronization ofN-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control." Discrete Dynamics in Nature and Society 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/191063.

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Based on linear feedback control technique, a projective synchronization scheme ofN-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. The given scheme is applied to achieve projective synchronization of chaotic fractional-order financial systems. Numerical simulations are given to verify the effectiveness of the proposed projective synchronization scheme.

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41

Shi, Xianghui. "Projective prewellorderings vs projective wellfounded relations." Journal of Symbolic Logic 74, no. 2 (June 2009): 579–96. http://dx.doi.org/10.2178/jsl/1243948328.

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42

Maşek, Vladimir. "Projective contractions along weighted projective spaces." ANNALI DELL UNIVERSITA DI FERRARA 33, no. 1 (January 1987): 179–88. http://dx.doi.org/10.1007/bf02825028.

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Al-Thani, Huda Mohammed J. "Characterizations of projective andk-projective semimodules." International Journal of Mathematics and Mathematical Sciences 32, no. 7 (2002): 439–48. http://dx.doi.org/10.1155/s0161171202109227.

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Hatsuda, Machiko, and Kiyoshi Kamimura. "Projective coordinates and projective space limit." Nuclear Physics B 798, no. 1-2 (July 2008): 310–22. http://dx.doi.org/10.1016/j.nuclphysb.2008.02.004.

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45

Sheu, Albert Jeu-Liang. "Projective Modules Over Quantum Projective Line." International Journal of Mathematics 28, no. 03 (March 2017): 1750022. http://dx.doi.org/10.1142/s0129167x17500227.

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Taking a groupoid C*-algebra approach to the study of the quantum complex projective spaces [Formula: see text] constructed from the multipullback quantum spheres introduced by Hajac and collaborators, we analyze the structure of the C*-algebra [Formula: see text] realized as a concrete groupoid C*-algebra, and find its [Formula: see text]-groups. Furthermore, after a complete classification of the unitary equivalence classes of projections or equivalently the isomorphism classes of finitely generated projective modules over the C*-algebra [Formula: see text], we identify those quantum principal [Formula: see text]-bundles introduced by Hajac and collaborators among the projections classified.

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46

Pfeiffer, Thorsten, and Stefan E. Schmidt. "Projective mappings between projective lattice geometries." Journal of Geometry 54, no. 1-2 (November 1995): 105–14. http://dx.doi.org/10.1007/bf01222858.

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Ding, Weiyi, and Xiaoxian Tang. "Projections of Tropical Fermat-Weber Points." Mathematics 9, no. 23 (December 1, 2021): 3102. http://dx.doi.org/10.3390/math9233102.

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This paper is motivated by the difference between the classical principal component analysis (PCA) in a Euclidean space and the tropical PCA in a tropical projective torus as follows. In Euclidean space, the projection of the mean point of a given data set on the principle component is the mean point of the projection of the data set. However, in tropical projective torus, it is not guaranteed that the projection of a Fermat-Weber point of a given data set on a tropical polytope is a Fermat-Weber point of the projection of the data set. This is caused by the difference between the Euclidean metric and the tropical metric. In this paper, we focus on the projection on the tropical triangle (the three-point tropical convex hull), and we develop one algorithm and its improved version, such that for a given data set in the tropical projective torus, these algorithms output a tropical triangle, on which the projection of a Fermat-Weber point of the data set is a Fermat-Weber point of the projection of the data set. We implement these algorithms in R language and test how they work with random data sets. We also use R language for numerical computation. The experimental results show that these algorithms are stable and efficient, with a high success rate.

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Wilder, Ken. "Projective art and the ‘staging’ of empathic projection." Moving Image Review & Art Journal (MIRAJ) 5, no. 1 (December 1, 2016): 124–40. http://dx.doi.org/10.1386/miraj.5.1-2.124_1.

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Kernberg, Otto F. "Projection and Projective Identification: Developmental and Clinical Aspects." Journal of the American Psychoanalytic Association 35, no. 4 (August 1987): 795–819. http://dx.doi.org/10.1177/000306518703500401.

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Iacob, Alina. "Projectively coresolved Gorenstein flat and ding projective modules." Communications in Algebra 48, no. 7 (February 11, 2020): 2883–93. http://dx.doi.org/10.1080/00927872.2020.1723612.

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