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Journal articles on the topic 'Generalized Essential Matrix'

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1

Birkenmeier, Gary F., and Donald D. Davis. "FI-extending generalized matrix rings." Journal of Algebra and Its Applications 19, no. 01 (February 27, 2019): 2050018. http://dx.doi.org/10.1142/s0219498820500188.

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Recall that a module [Formula: see text] is FI-extending if every fully invariant submodule is essential in a direct summand of [Formula: see text]. Let [Formula: see text] be a generalized matrix ring, where [Formula: see text] and [Formula: see text] are rings and [Formula: see text] and [Formula: see text] are bimodules. In this paper, we investigate necessary and/or sufficient conditions on [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text] for [Formula: see text] to be FI-extending.
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Miraldo, Pedro, and Helder Araujo. "Generalized essential matrix: Properties of the singular value decomposition." Image and Vision Computing 34 (February 2015): 45–50. http://dx.doi.org/10.1016/j.imavis.2014.11.003.

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Kim, Jun-Sik, and Takeo Kanade. "Degeneracy of the Linear Seventeen-Point Algorithm for Generalized Essential Matrix." Journal of Mathematical Imaging and Vision 37, no. 1 (February 12, 2010): 40–48. http://dx.doi.org/10.1007/s10851-010-0191-9.

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Kumar, Ashim, Dijana Mosić, Predrag S. Stanimirović, Gurjinder Singh, and Lev A. Kazakovtsev. "Commuting Outer Inverse-Based Solutions to the Yang–Baxter-like Matrix Equation." Mathematics 10, no. 15 (August 2, 2022): 2738. http://dx.doi.org/10.3390/math10152738.

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This paper investigates new solution sets for the Yang–Baxter-like (YB-like) matrix equation involving constant entries or rational functional entries over complex numbers. Towards this aim, first, we introduce and characterize an essential class of generalized outer inverses (termed as {2,5}-inverses) of a matrix M, which commute with M. Towards this aim, first, we introduce and characterize an essential class of generalized outer inverses (termed as {2,5}-inverses) of a matrix, which commute with it. This class of {2,5}-inverses is defined based on resolving appropriate matrix equations and
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Lindström, M., S. Miihkinen, and D. Norrbo. "Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces." Advances in Mathematics 408 (October 2022): 108598. http://dx.doi.org/10.1016/j.aim.2022.108598.

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6

Ferjani, Imen, Aref Jeribi, and Bilel Krichen. "On relative essential spectra of a 3 x 3 operator matrix involving relative generalized weak demicompactness." Filomat 34, no. 13 (2020): 4271–86. http://dx.doi.org/10.2298/fil2013271f.

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In this paper, we investigate the relative essential spectra of a 3 x 3 block matrix operator with unbounded entries and with domain consisting of vectors satisfying certain relations between their components. Our results are formulated in term of relative generalized weak demicompactness and measure of non-strict-singularity.
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Li, Songxiao, and Jizhen Zhou. "Essential norm of generalized Hilbert matrix from Bloch type spaces to BMOA and Bloch space." AIMS Mathematics 6, no. 4 (2021): 3305–18. http://dx.doi.org/10.3934/math.2021198.

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8

Miraldo, Pedro, and João R. Cardoso. "On the Generalized Essential Matrix Correction: An Efficient Solution to the Problem and Its Applications." Journal of Mathematical Imaging and Vision 62, no. 8 (June 6, 2020): 1107–20. http://dx.doi.org/10.1007/s10851-020-00961-w.

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Abstract This paper addresses the problem of finding the closest generalized essential matrix from a given $$6\times 6$$ 6 × 6 matrix, with respect to the Frobenius norm. To the best of our knowledge, this nonlinear constrained optimization problem has not been addressed in the literature yet. Although it can be solved directly, it involves a large number of constraints, and any optimization method to solve it would require much computational effort. We start by deriving a couple of unconstrained formulations of the problem. After that, we convert the original problem into a new one, involving
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9

Wei, Jiao, Xianguo Geng, Xin Wang, and Yunyun Zhai. "Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy." Journal of Mathematical Physics 63, no. 8 (August 1, 2022): 083503. http://dx.doi.org/10.1063/5.0088138.

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Resorting to the zero-curvature equation and the Lenard recursion equations, the generalized Merola–Ragnisco–Tu lattice hierarchy associated with a 3 × 3 discrete matrix spectral problem is derived. With the aid of the characteristic polynomial of the Lax matrix for the generalized Merola–Ragnisco–Tu lattice hierarchy, a trigonal curve is defined, on which we construct the Baker–Akhiezer function, two meromorphic functions, three kinds of Abelian differentials, and Riemann theta function. By analyzing the asymptotic properties of the Baker–Akhiezer function and two meromorphic functions, espec
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Tian, Yongge. "Characterizations of the group invertibility of a matrix revisited." Demonstratio Mathematica 55, no. 1 (January 1, 2022): 866–90. http://dx.doi.org/10.1515/dema-2022-0171.

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Abstract A square complex matrix A A is said to be group invertible if there exists a matrix X X such that A X A = A AXA=A , X A X = X XAX=X , and A X = X A AX=XA hold, and such a matrix X X is called the group inverse of A A . The group invertibility of a matrix is one of the fundamental concepts in the theory of generalized inverses, while group inverses of matrices have many essential applications in matrix theory and other disciplines. The purpose of this article is to reconsider the characterization problem of the group invertibility of a matrix, as well as the constructions of various al
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Stanojević, Vukašin, Lev Kazakovtsev, Predrag S. Stanimirović, Natalya Rezova, and Guzel Shkaberina. "Calculating the Moore–Penrose Generalized Inverse on Massively Parallel Systems." Algorithms 15, no. 10 (September 27, 2022): 348. http://dx.doi.org/10.3390/a15100348.

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In this work, we consider the problem of calculating the generalized Moore–Penrose inverse, which is essential in many applications of graph theory. We propose an algorithm for the massively parallel systems based on the recursive algorithm for the generalized Moore–Penrose inverse, the generalized Cholesky factorization, and Strassen’s matrix inversion algorithm. Computational experiments with our new algorithm based on a parallel computing architecture known as the Compute Unified Device Architecture (CUDA) on a graphic processing unit (GPU) show the significant advantages of using GPU for l
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Birkenmeier, Gary F., Adnan Tercan, and Canan C. Yucel. "Projection invariant extending rings." Journal of Algebra and Its Applications 15, no. 07 (July 22, 2016): 1650121. http://dx.doi.org/10.1142/s0219498816501218.

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A ring [Formula: see text] is said to be right [Formula: see text]-extending if every projection invariant right ideal of [Formula: see text] is essential in a direct summand of [Formula: see text]. In this article, we investigate the transfer of the [Formula: see text]-extending condition between a ring [Formula: see text] and its various ring extensions. More specifically, we characterize the right [Formula: see text]-extending generalized triangular matrix rings; and we show that if [Formula: see text] is [Formula: see text]-extending, then so is [Formula: see text] where [Formula: see text
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SIMA, VASILE. "Numerical solution of stable generalized complex Lyapunov equations." Journal of Engineering Sciences and Innovation 7, no. 1 (March 5, 2022): 71–86. http://dx.doi.org/10.56958/jesi.2022.7.1.71.

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Generalized Lyapunov equations are often encountered in systems theory, analysis and design of control systems, and in many applications, including balanced realization algorithms, procedures for reduced order models, or Newton methods for generalized algebraic Riccati equations. An important application is the computation of the Hankel singular values of a generalized dynamical system, whose behavior is defined by a regular matrix pencil (E, A), with E nonsingular. This application uses the controllability and observability Gramians of the system, given as the solutions of a pair of related g
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Abbas, Ibrahim A., and Aatef D. Hobiny. "Eigenvalue Approach in a Generalized Thermal Shock Problem for a Transversely Isotropic Half-Space." Journal of Molecular and Engineering Materials 05, no. 01 (March 2017): 1750002. http://dx.doi.org/10.1142/s2251237317500022.

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In the present work, the investigating of the disturbances in a homogeneous, transversely isotropic elastic medium with generalized thermoelastic theory has been concerned. The formulation is applied to generalized thermoelasticity based on three different theories. Laplace and Fourier transforms are used to solve the problem analytically. The essential equations have been written as a vector-matrix differential equation in the Laplace transform domain, then solved by an eigenvalue approach. The inverses of Fourier transforms are obtained analytically. The result is used to solve a specific tw
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Belovas, Igoris, Audrius Kabašinskas, and Leonidas Sakalauskas. "Kovariantiškumas ir kodiferencija sudarant optimalų vertybinių popierių portfelį." Informacijos mokslai 42, no. 43 (January 1, 2008): 182–88. http://dx.doi.org/10.15388/im.2008.0.3422.

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Formuojant vertybinių popierių portfelį svarbu nustatyti ryšius tarp atskirų akcijų grąžų. Tačiau laikantis stabilumo prielaidos (modeliuojant akcijų grąžų sekas stabiliaisiais dėsniais) klasikiniai ryšio matai (kovariacija, koreliacija) negali būti taikomi. Todėl apibendrintasis Markovitzo uždavinys yra sprendžiamas su apibendrintais ryšio matais (kovariantiškumas, kodiferencija). Parodyta, kad kodiferencijos tarp atskirų finansinių instrumentų koeficientas gerokai supaprastina portfelio formavimą.Buvo sudaryti Baltijos šalių dešimties vertybinių popierių optimalūs portfeliai.On covariation a
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16

Hanvat, Jyoti, and Sumit Sharma. "Optimization of Feature Set for Sentiment Analysis using Artificial Butterfly Algorithm and Ensemble Machine Learning." SMART MOVES JOURNAL IJOSCIENCE 6, no. 11 (November 25, 2020): 21–27. http://dx.doi.org/10.24113/ijoscience.v6i11.325.

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The current decade has witnessed the remarkable developments in the field of artificial intelligence, and the revolution of deep learning has transformed the whole artificial intelligence industry. Eventually, deep learning techniques have become essential components of any model in today’s computational world. Nevertheless, ensemble learning techniques promise a high degree of automation with generalized rule extraction for both text and sentiment classification tasks. This paper aims designed and implemented optimized feature matrix using ensemble learning used for sentiment classification a
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17

Wapenaar, Kees, Evert Slob, and Roel Snieder. "On seismic interferometry, the generalized optical theorem, and the scattering matrix of a point scatterer." GEOPHYSICS 75, no. 3 (May 2010): SA27—SA35. http://dx.doi.org/10.1190/1.3374359.

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We have analyzed the far-field approximation of the Green’s function representation for seismic interferometry. By writing each of the Green’s functions involved in the correlation process as a superposition of a direct wave and a scattered wave, the Green’s function representation is rewritten as a superposition of four terms. When the scattered waves are modeled with the Born approximation, it appears that a three-term approximation of the Green’s function representation (omitting the term containing the crosscorrelation of the scattered waves) yields a nearly exact retrieval, whereas the fu
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18

Ehler, Martin. "Preconditioning Filter Bank Decomposition Using Structured Normalized Tight Frames." Journal of Applied Mathematics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/861563.

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We turn a given filter bank into a filtering scheme that provides perfect reconstruction, synthesis is the adjoint of the analysis part (so-called unitary filter banks), all filters have equal norm, and the essential features of the original filter bank are preserved. Unitary filter banks providing perfect reconstruction are induced by tight generalized frames, which enable signal decomposition using a set of linear operators. If, in addition, frame elements have equal norm, then the signal energy is spread through the various filter bank channels in some uniform fashion, which is often more s
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19

Deaett, Louis, and Colin Garnett. "Algebraic conditions and the sparsity of spectrally arbitrary patterns." Special Matrices 9, no. 1 (January 1, 2021): 257–74. http://dx.doi.org/10.1515/spma-2020-0136.

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Abstract Given a square matrix A, replacing each of its nonzero entries with the symbol * gives its zero-nonzero pattern. Such a pattern is said to be spectrally arbitrary when it carries essentially no information about the eigenvalues of A. A longstanding open question concerns the smallest possible number of nonzero entries in an n × n spectrally arbitrary pattern. The Generalized 2n Conjecture states that, for a pattern that meets an appropriate irreducibility condition, this number is 2n. An example of Shitov shows that this irreducibility is essential; following his technique, we constru
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20

Tian, Qiang, Wenjun Wang, Yingjie Xie, Huaming Wu, Pengfei Jiao, and Lin Pan. "A Unified Bayesian Model for Generalized Community Detection in Attribute Networks." Complexity 2020 (August 29, 2020): 1–15. http://dx.doi.org/10.1155/2020/5712815.

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Identification of community structures and the underlying semantic characteristics of communities are essential tasks in complex network analysis. However, most methods proposed so far are typically only applicable to assortative community structures, that is, more links within communities and fewer links between different communities, which ignore the rich diversity of community regularities in real networks. In addition, the node attributes that provide rich semantics information of communities and networks can facilitate in-depth community detection of structural information. In this paper,
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21

Zupan, Nina, and Jože Korelc. "Sensitivity analysis based multi-scale methods of coupled path-dependent problems." Computational Mechanics 65, no. 1 (September 18, 2019): 229–48. http://dx.doi.org/10.1007/s00466-019-01762-8.

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Abstract In the paper, a generalized essential boundary condition sensitivity analysis based implementation of $$\text {FE}^2$$FE2 and mesh-in-element (MIEL) multi-scale methods is derived as an alternative to standard implementations of multi-scale analysis, where the calculation of Schur complement of the microscopic tangent matrix is needed for bridging the scales. The paper presents a unified approach to the development of an arbitrary MIEL or $$\text {FE}^2$$FE2 computational scheme for an arbitrary path-dependent material model. Implementation is based on efficient first and second order
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22

Lee, Kyung Eun, Shiv Bharadwaj, Umesh Yadava, and Sang Gu Kang. "Computational and In Vitro Investigation of (-)-Epicatechin and Proanthocyanidin B2 as Inhibitors of Human Matrix Metalloproteinase 1." Biomolecules 10, no. 10 (September 28, 2020): 1379. http://dx.doi.org/10.3390/biom10101379.

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Matrix metalloproteinases 1 (MMP-1) energetically triggers the enzymatic proteolysis of extracellular matrix collagenase (ECM), resulting in progressive skin aging. Natural flavonoids are well known for their antioxidant properties and have been evaluated for inhibition of matrix metalloproteins in human. Recently, (-)-epicatechin and proanthocyanidin B2 were reported as essential flavanols from various natural reservoirs as potential anti-inflammatory and free radical scavengers. However, their molecular interactions and inhibitory potential against MMP-1 are not yet well studied. In this stu
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23

TANG, ZHENGHUA, and WEIYI ZHANG. "NONRECIPROCAL MULTIFERROIC SUPERLATTICES WITH BROKEN PARITY SYMMETRY." International Journal of Modern Physics B 26, no. 03 (January 30, 2012): 1250021. http://dx.doi.org/10.1142/s021797921250021x.

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Multiferroic materials are characterized by the coexistence of ferroelectric and ferromagnetic (or antiferromagnetic) orders, the coupling to lattice vibration can be invoked either through piezoelectric or piezomagnetic effects. In this paper, the polaritonic band structures of multiferroic superlattices composed of oppositely polarized domains are investigated using the generalized transfer matrix method. For the primitive cell with broken parity symmetry, the polaritonic band structure is asymmetrical with respect to the forward and backward propagation directions (nonreciprocality). In par
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24

Bai, Tong, and Ilya Tsvankin. "Time-domain finite-difference modeling for attenuative anisotropic media." GEOPHYSICS 81, no. 2 (March 1, 2016): C69—C77. http://dx.doi.org/10.1190/geo2015-0424.1.

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Accurate and efficient modeling of seismic wavefields that accounts for both attenuation and anisotropy is essential for further development of processing methods. Here, we present a 2D time-domain finite-difference algorithm for generating multicomponent data in viscoelastic transversely isotropic media with a vertical symmetry axis (VTI). Within the framework of the generalized standard linear solid (GSLS) model, the relaxation function is expressed through the [Formula: see text]-parameters (which quantify the difference between the stress and strain relaxation times) defined for anisotropi
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FENG, J., and S. WEINBAUM. "Lubrication theory in highly compressible porous media: the mechanics of skiing, from red cells to humans." Journal of Fluid Mechanics 422 (November 3, 2000): 281–317. http://dx.doi.org/10.1017/s0022112000001725.

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A generalized lubrication theory that is applicable to highly deformable porous layers is developed using an effective-medium approach (Brinkman equation). This theory is valid in the limit where the structure is so compressible that the normal forces generated by elastic compression of the fibres comprising the solid phase are negligible compared to the pressure forces generated within the porous layer. We assume that the deformation of the solid phase is primarily due to boundary compression as opposed to the motion of the fluid phase. A generalized Reynolds equation is derived in which the
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Asefpour Vakilian, A., and M. R. Saradjian. "OPTIMIZATION OF THE SPARSE REPRESENTATION PARAMETERS FOR THE FUSION OF REMOTELY SENSED SATELLITE IMAGES." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences X-4/W1-2022 (January 13, 2023): 71–77. http://dx.doi.org/10.5194/isprs-annals-x-4-w1-2022-71-2023.

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Abstract. Image fusion methods are widely used in remote sensing applications to obtain more information about the features in the study area. One of the recent satellite image fusion techniques that can deal with noise and reduce computational cost and deal with geometric misregistration is sparse representation model. The important part of creating a generalized sparse representation model for satellite image fusion problems is defining initial constraints and adjusting the corresponding regularization coefficients. Regularization coefficients play an essential role in the performance of the
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27

Bonsu, Kwadwo Osei. "Axiomatic Formulation of the Optimal Transaction Cost Theory in the Legal Process Through Cobb-Douglas Optimization." Economic and Regional Studies / Studia Ekonomiczne i Regionalne 14, no. 3 (September 1, 2021): 385–89. http://dx.doi.org/10.2478/ers-2021-0027.

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Abstract Subject and purpose of work: This paper uses Cobb-Douglas optimization to formulate an optimal transaction cost algorithm within the constraint of a generalized legal framework. Materials and methods: The author has adopted a Lagrangian approach to formulate the social utility function, then, from a set of legally allowed strategies established the Karush-Kuhn-Tucker conditions for the legal game so as to find the optimal parameters within the social utility function. Finally, the optimal transaction cost algorithm was developed. Results: The Bordered Hessian Matrix from the partial d
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28

Birkenmeier, Gary F., and Richard L. LeBlanc. "s.Baer and s.Rickart Modules." Journal of Algebra and Its Applications 14, no. 08 (April 27, 2015): 1550131. http://dx.doi.org/10.1142/s0219498815501315.

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In this paper, we study module theoretic definitions of the Baer and related ring concepts. We say a module is s.Baer if the right annihilator of a nonempty subset of the module is generated by an idempotent in the ring. We show that s.Baer modules satisfy a number of closure properties. Under certain conditions, a torsion theory is established for the s.Baer modules, and we provide examples of s.Baer torsion modules and modules with a nonzero s.Baer radical. The other principal interest of this paper is to provide explicit connections between s.Baer modules and projective modules. Among other
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29

Gupta, V., A. S. Argon, and Z. Suo. "Crack Deflection at an Interface Between Two Orthotopic Media." Journal of Applied Mechanics 59, no. 2S (June 1, 1992): S79—S87. http://dx.doi.org/10.1115/1.2899511.

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To achieve toughness in many brittle composites, crack deflection at interfaces is essential. For this, it is necessary to establish crack deflection criteria by employing the principles of interfacial fracture mechanics applicable to anisotropic pair of materials. Such an analysis, with two aligned orthotropic media, is considered here. The stress and deformation fields derived for such cases are shown to depend on material parameters λ and p for the two media and on the two so-called Dundur constants α and β. For β = 0, the dependence on λ and λ2 collapses to Λ = (λ1,/λ2)1/4. The delaminatio
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30

Maksimov, Vladimir P. "To estimating linear functionals values over solutions of systems with aftereffect." Russian Universities Reports. Mathematics, no. 131 (2020): 274–83. http://dx.doi.org/10.20310/2686-9667-2020-25-131-274-283.

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For a wide class of linear functional differential systems with Volterra operators, a constructive technique is proposed to obtain estimates of linear functionals values over solutions in conditions of uncertainty of external perturbations. It can be applied to solutions of boundary value problems with arbitrary number of boundary conditions as well as to description of attainability sets in control problems with respect to given on-target functionals. External perturbations are constrained by a given linear inequalities system on the main time segment. The technique is based on the results of
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31

ICHIKI, KENGO. "Improvement of the Stokesian Dynamics method for systems with a finite number of particles." Journal of Fluid Mechanics 452 (February 10, 2002): 231–62. http://dx.doi.org/10.1017/s0022112001006735.

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An improvement of the Stokesian Dynamics method for many-particle systems is presented. A direct calculation of the hydrodynamic interaction is used rather than imposing periodic boundary conditions. The two major difficulties concern the accuracy and the speed of calculations. The accuracy discussed in this work is not concerned with the lubrication correction but, rather, focuses on the multipole expansion which until now has only been formulated up to the so-called FTS version or the first order of force moments. This is improved systematically by a real-space multipole expansion with force
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32

Lee, Yi-Hsi, Ming-Hua Hsieh, Weiyu Kuo, and Chenghsien Jason Tsai. "How can an economic scenario generation model cope with abrupt changes in financial markets?" China Finance Review International 11, no. 3 (May 31, 2021): 372–405. http://dx.doi.org/10.1108/cfri-03-2021-0056.

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PurposeIt is quite possible that financial institutions including life insurance companies would encounter turbulent situations such as the COVID-19 pandemic before policies mature. Constructing models that can generate scenarios for major assets to cover abrupt changes in financial markets is thus essential for the financial institution's risk management.Design/methodology/approachThe key issues in such modeling include how to manage the large number of risk factors involved, how to model the dynamics of chosen or derived factors and how to incorporate relations among these factors. The autho
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Guedes, Marcello Barbosa Otoni Gonçalves, Sanderson José Costa de Assis, Geronimo José Bouzas Sanchis, Diego Neves Araujo, Angelo Giuseppe Roncalli Da Costa Oliveira, and Johnnatas Mikael Lopes. "COVID-19 in Brazilian cities: Impact of social determinants, coverage and quality of primary health care." PLOS ONE 16, no. 9 (September 17, 2021): e0257347. http://dx.doi.org/10.1371/journal.pone.0257347.

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Background Brazil, as many other countries, have been heavily affected by COVID-19. This study aimed to analyze the impact of Primary health care and the family health strategy (FHS) coverage, the scores of the National Program for Improving Primary Care Access and Quality (PMAQ), and socioeconomic and social indicators in the number of COVID-19 cases in Brazilian largest cities. Methods This is an ecological study, carried out through the analysis of secondary data on the population of all Brazilian main cities, based on the analysis of a 26-week epidemiological epidemic week series by COVID-
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Yasin, Hasbi, Budi Warsito, Rukun Santoso, and Arief Rachman Hakim. "Forecasting of Rainfall in Central Java using Hybrid GSTAR-NN-PSO Model." E3S Web of Conferences 125 (2019): 23015. http://dx.doi.org/10.1051/e3sconf/201912523015.

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Forecasting of rainfall trends is essential for several fields, such as airline and ship management, flood control and agriculture. The rainfall data were recorded several time simultaneously at a number of locations and called the space-time data. Generalized Space Time Autoregressive (GSTAR) model is one of space-time models used to modeling and forecasting the rainfall. The aim of this research is to propose the nonlinear space-time model based on hybrid of GSTAR, Feed Forward Neural Network (FFNN) and Particle Swarm Optimization (PSO) and it called GSTAR-NN-PSO. In this model, input variab
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Baral, Pratyusava, Soumendra Kishore Roy, and Supratik Pal. "Prospects of probing dark energy with eLISA: Standard versus null diagnostics." Monthly Notices of the Royal Astronomical Society 500, no. 3 (October 29, 2020): 2896–907. http://dx.doi.org/10.1093/mnras/staa3346.

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ABSTRACT Gravitational waves from supermassive black hole binary mergers along with an electromagnetic counterpart have the potential to shed ‘light’ on the nature of dark energy in the intermediate redshift regime. Accurate measurement of dark energy parameters at intermediate redshift is extremely essential to improve our understanding of dark energy, and to possibly resolve a couple of tensions involving cosmological parameters. We present a Fisher matrix forecast analysis in the context of eLISA to predict the errors for three different cases: the non-interacting dark energy with constant
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36

Badulin, Sergei I., Victor I. Shrira, Christian Kharif, and Mansour Ioualalen. "On two approaches to the problem of instability of short-crested water waves." Journal of Fluid Mechanics 303 (November 25, 1995): 297–326. http://dx.doi.org/10.1017/s0022112095004289.

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The work is concerned with the problem of the linear instability of symmetric short-crested water waves, the simplest three-dimensional wave pattern. Two complementary basic approaches were used. The first, previously developed by Ioualalen & Kharif (1993, 1994), is based on the application of the Galerkin method to the set of Euler equations linearized around essentially nonlinear basic states calculated using the Stokes-like series for the short-crested waves with great precision. An alternative analytical approach starts with the so-called Zakharov equation, i.e. an integro-differential
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37

Giordano, Bryan V., Anthony Cruz, Daniel W. Pérez-Ramos, Martina M. Ramos, Yasmin Tavares, and Eric P. Caragata. "Mosquito Communities Vary across Landscape and Vertical Strata in Indian River County, Florida." Pathogens 10, no. 12 (December 3, 2021): 1575. http://dx.doi.org/10.3390/pathogens10121575.

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Mosquito and arbovirus surveillance is essential to the protection of public health. A majority of surveys are undertaken at ground level. However, mosquitoes shelter, breed, and quest for hosts across vertical strata, thus limiting our ability to fully describe mosquito and arboviral communities. To elucidate patterns of mosquito vertical stratification, canopy traps were constructed to sample mosquitoes at heights of 1.5, 5.0, and 8.7 m across three different landscape types in a Florida coastal conservation area. We assessed trapping efforts using individual-based rarefaction and extrapolat
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38

Novachenko, T. V. "Public imagination as a modern mechanism of solidarization in the Ukrainian nation." Ukrainian Society 81, no. 2 (June 28, 2022): 51–58. http://dx.doi.org/10.15407/socium2022.02.051.

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The article is devoted to the pressing issue of defining modern solidarity mechanisms in the Ukrainian nation, one of which is the public imagination. The methodological basis of the presented intelligence is the scientific work of C.G. Jung, the founder of one of the philosophical concepts of the collective unconscious; the work of French scientist – G. Durand, author of the concept of l’imaginaire – imaginary, who emphasizes that the world around us is the result of a free play of imagination, and modern French sociologist M. Maffesoli, – a cross-cutting problem of his research also poses th
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Andrade, Rodrigo Soares de. "Amelogenesis Imperfecta from Diagnosis to Rehabilitation-A Case Report." International Journal of Clinical Case Reports and Reviews 7, no. 03 (June 25, 2021): 01–06. http://dx.doi.org/10.31579/2690-4861/127.

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During odontogenesis, enamel is normally synthesized as an extracellular matrix, a phenomenon known as amelogenesis. The failure of this process can lead to malformation of dental enamel, called Amelogenesis Imperfecta (AI). AI, by causing a qualitative and/or quantitative deficiency of dental enamel, presents characteristics such as hypersensitivity, unsatisfactory aesthetics, reduced vertical dimension, anterior open bite, plaque accumulation, and greater susceptibility to caries and gingivitis. Thus, our objective is to report a case of AI, describing the main characteristics of the disease
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40

Kalibernova, N. M. "Showing the vegetation cover of flood-plains and river valleys on the Vegetation Map of Kazakhstan and middle Asia." Geobotanical mapping, no. 1993 (1995): 58–66. http://dx.doi.org/10.31111/geobotmap/1993.58.

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The fragment of the legend of the map concerning the vegetation of flood- plains and river-valleys in the subzones of northern and southern deserts is presented in the article. The map is compiled in Department of Vegetspon Geography and Cartography of Komarov Botanical Institute by a large team of botanists-geographers of the former USSR. The nature environments determining the development of vegetation of river-valleys in arid climate are conditioned by the intrazonal factors (alluvial and flood processes) at the background of natural zonal factors. Contrasts of environments and correspondin
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Petrescu, Florian Ion Tiberiu, and Relly Victoria Virgil Petrescu. "ABOUT THE ANTHROPOMORPHIC ROBOTS." Engevista 17, no. 1 (May 9, 2014): 1. http://dx.doi.org/10.22409/engevista.v17i1.565.

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The paper presents an original geometrical and kinematic method for the study of geometry and determining positions of a MP-3R structure of the anthropomorphic robots. It presents shortly the MP-3R direct and inverse kinematics, the inverse kinematics being solved by an original exactly method. One presents shortly an original method to solve the robot inverse kinematics exemplified at the 3R-Robots (MP-3R). The system which must be solved has three equations and three independent parameters to determine. Constructive basis is represented by a robot with three degrees of freedom (a robot with
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42

Capone, Cristiano, Paolo Muratore, and Pier Stanislao Paolucci. "Error-based or target-based? A unified framework for learning in recurrent spiking networks." PLOS Computational Biology 18, no. 6 (June 21, 2022): e1010221. http://dx.doi.org/10.1371/journal.pcbi.1010221.

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The field of recurrent neural networks is over-populated by a variety of proposed learning rules and protocols. The scope of this work is to define a generalized framework, to move a step forward towards the unification of this fragmented scenario. In the field of supervised learning, two opposite approaches stand out, error-based and target-based. This duality gave rise to a scientific debate on which learning framework is the most likely to be implemented in biological networks of neurons. Moreover, the existence of spikes raises the question of whether the coding of information is rate-base
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43

Ramadori, Giuliano. "Albumin Infusion in Critically Ill COVID-19 Patients: Hemodilution and Anticoagulation." International Journal of Molecular Sciences 22, no. 13 (July 1, 2021): 7126. http://dx.doi.org/10.3390/ijms22137126.

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Hypercoagulation is one of the major risk factors for ICU treatment, mechanical ventilation, and death in critically ill patients infected with SARS-CoV-2. At the same time, hypoalbuminemia is one risk factor in such patients, independent of age and comorbidities. Especially in patients with severe SARS-CoV-2-infection, albumin infusion may be essential to improve hemodynamics and to reduce the plasma level of the main marker of thromboembolism, namely, the D-dimer plasma level, as suggested by a recent report. Albumin is responsible for 80% of the oncotic pressure in the vessels. This is nece
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Batchenko, Ludmila, Maryna Dielini, and Liliia Honchar. "A VALUE-ORIENTED POLYPARADIGMAL APPROACH TO THE DEVELOPMENT OF MANAGEMENT EDUCATION IN THE CONDITIONS OF TRANSFORMATION CHANGE." Baltic Journal of Economic Studies 6, no. 5 (December 2, 2020): 42–53. http://dx.doi.org/10.30525/2256-0742/2020-6-5-42-53.

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The purpose of the article is a theoretical, methodological, and practical justification for the introduction of a value-oriented polyparadigmatic approach to the development of management education. Methodology. Scientific analysis is carried out by an interdisciplinary system of methods: systemic philosophical analysis, structural functional method, generalization, modeling, and others. Results. The known methodological approaches to the formation of modern educational models of management training are considered; the essential concepts of educational paradigms are revealed and the necessity
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Pai, D. M. "On: “Accurate depth migration by a generalized phase‐shift method” by Dan Kosloff and David Kessler (GEOPHYSICS 52, 1074–1084, August 1987)." GEOPHYSICS 54, no. 2 (February 1989): 271–72. http://dx.doi.org/10.1190/1.1442652.

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I would like to point out that the “generalized phase‐shift method” (Kosloff and Kessler, 1987) introduced for solution continuation — and referred to as a new method — is essentially identical to the “generalized Haskell matrix/layer eigenstate propagator (GHM/LEP)” method I presented earlier (Pai, 1985). Unfortunately, Kosloff and Kessler did not reference that paper.
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Solodov, Alexander A. "Statistical analysis of the formation mechanism of concepts-representations in organizational and technical systems." Statistics and Economics 15, no. 4 (September 4, 2018): 70–76. http://dx.doi.org/10.21686/2500-3925-2018-4-70-76.

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The aim of the research is the analytical description of one of the modules of the organizational and technical system, designed for the formation of sensual images and their transformation into concepts-representations. Within the framework of the computer paradigm in organizational and technical systems, such obvious principles as digital representation of information and its processing with the use of algorithms implemented by computing means are used. The success of the computer paradigm application is certainly impressive, but there are clearly situations in which human consciousness oper
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47

Christiansen, Oddvar, Tin-Man Lee, Johan Lie, Usha Sinha, and Tony F. Chan. "Total Variation Regularization of Matrix-Valued Images." International Journal of Biomedical Imaging 2007 (2007): 1–11. http://dx.doi.org/10.1155/2007/27432.

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We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrix-valued data, in particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color total variation model proposed by Blomgren and Chan in 1998. We treat the diffusion matrixDimplicitly as the productD=LLT, and work with the elements ofLas variables, instead of working directly on the elements ofD. This ensures positive definiteness of the tensor during the regularization flow, which is essential when regularizing DTI. We perform numerical experiments on both
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Chuiko, Sergei, and Olga Nesmelova. "About the equilibrium positions of a matrix differential-algebraic boundary value problem." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 33 (December 27, 2019): 218–31. http://dx.doi.org/10.37069/1683-4720-2019-33-17.

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In the article we found the solvability conditions and the construction of the generalized Green operator of the linear Noetherian matrix differential-algebraic boundary value problem. We obtained sufficient conditions of transformationsof the matrix differential-algebraic equation to a traditional differential-algebraic equation with an unknown in the form of a column vector. The problem that reviewed in the article continues the study of solvability conditions for the linear Noetherian boundary value problems given in the monographs of M.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, A.M. Sa
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Hetyei, Gábor. "Meixner polynomials of the second kind and quantum algebras representing su(1, 1)." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2117 (December 16, 2009): 1409–28. http://dx.doi.org/10.1098/rspa.2009.0497.

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We show how Viennot’s combinatorial theory of orthogonal polynomials may be used to generalize some recent results of Sukumar and Hodges (Hodges & Sukumar 2007 Proc. R. Soc. A 463 , 2401–2414 ( doi:10.1098/rspa.2007.0001 ); Sukumar & Hodges 2007 Proc. R. Soc. A 463 , 2415–2427 ( doi:10.1098/rspa.2007.0003 )) on the matrix entries in powers of certain operators in a representation of su(1, 1). Our results link these calculations to finding the moments and inverse polynomial coefficients of certain Laguerre polynomials and Meixner polynomials of the second kind. As an immediate consequen
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FUJII, KAZUYUKI, KUNIO FUNAHASHI, and TAKAYUKI KOBAYASHI. "JARLSKOG'S PARAMETRIZATION OF UNITARY MATRICES AND QUDIT THEORY." International Journal of Geometric Methods in Modern Physics 03, no. 02 (March 2006): 269–83. http://dx.doi.org/10.1142/s0219887806001144.

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In the paper (math–ph/0504049) Jarlskog gave an interesting simple parametrization to unitary matrices, which was essentially the canonical coordinate of the second kind in the Lie group theory (math–ph/0505047). In this paper we apply the method to a quantum computation based on multilevel system (qudit theory). Namely, by considering that the parametrization gives a complete set of modules in qudit theory, we construct the generalized Pauli matrices, which play a central role in the theory and also make a comment on the exchange gate of two–qudit systems. Moreover, we give an explicit constr
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