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Journal articles on the topic 'Hat Matrix'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Fearn, Tom. "Diagnostics 2: Leverage and the Hat Matrix." NIR news 17, no. 4 (2006): 15–16. http://dx.doi.org/10.1255/nirn.900.

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2

Kalivas, John H. "Cyclic subspace regression with analysis of the hat matrix." Chemometrics and Intelligent Laboratory Systems 45, no. 1-2 (1999): 215–24. http://dx.doi.org/10.1016/s0169-7439(98)00106-3.

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3

Tripathi, Manoj P., Ram K. Pandey, Vipul K. Baranwal, and Om P. Singh. "Generalized Abel Inversion Using Extended Hat Functions Operational Matrix." International Journal of Analysis 2013 (May 19, 2013): 1–12. http://dx.doi.org/10.1155/2013/652541.

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Abel type integral equations play a vital role in the study of compressible flows around axially symmetric bodies. The relationship between emissivity and the measured intensity, as measured from the outside cylindrically symmetric, optically thin extended radiation source, is given by this equation as well. The aim of the present paper is to propose a stable algorithm for the numerical inversion of the following generalized Abel integral equation: I(y)=a(y)∫αy((rμ-1ε(r))/(yμ-rμ)γ)dr+b(y)∫yβ((rμ-1ε(r)) /(rμ-yμ)γ)dr, α≤y≤β, 0<γ<1, using our newly constructed extended hat functions operati

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4

Cao, Xiaofei, Yuyue Huang, Xue Hua, Tingyu Zhao, and Sanzhang Xu. "Matrix inverses along the core parts of three matrix decompositions." AIMS Mathematics 8, no. 12 (2023): 30194–208. http://dx.doi.org/10.3934/math.20231543.

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<abstract><p>New characterizations for generalized inverses along the core parts of three matrix decompositions were investigated in this paper. Let $ A_{1} $, $ \hat{A}_{1} $ and $ \tilde{A}_{1} $ be the core parts of the core-nilpotent decomposition, the core-EP decomposition and EP-nilpotent decomposition of $ A\in \mathbb{C}^{n\times n} $, respectively, where EP denotes the EP matrix. A number of characterizations and different representations of the Drazin inverse, the weak group inverse and the core-EP inverse were given by using the core parts $ A_{1} $, $ \hat{A}_{1} $ and

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5

Blejer, D. J. "Physical optics polarization scattering matrix for a top hat reflector." IEEE Transactions on Antennas and Propagation 39, no. 6 (1991): 857–59. http://dx.doi.org/10.1109/8.86888.

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6

Das, Anupam, and Bipan Hazarika. "Matrix transformation of Fibonacci band matrix on generalized $bv$-space and its dual spaces." Boletim da Sociedade Paranaense de Matemática 36, no. 3 (2018): 41–52. http://dx.doi.org/10.5269/bspm.v36i3.32010.

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In this paper we introduce a new sequence space $bv(\hat{F})$ by using the Fibonacci band matrix $\hat{F}.$ We also establish a few inclusion relations concerning this space and determine its $\alpha-,\beta-,\gamma-$duals. Finally we characterize some matrix classes on the space $bv(\hat{F}).$

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7

Li, S. J., L. H. Zhan, X. X. Ding, et al. "Improvement and evaluation of polymer-matrix composite panels with hat stiffeners." MATEC Web of Conferences 39 (2016): 01007. http://dx.doi.org/10.1051/matecconf/20163901007.

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8

Dodge, Yadolah, and Ali S. Hadi. "Simple graphs and bounds for the elements of the hat matrix." Journal of Applied Statistics 26, no. 7 (1999): 817–23. http://dx.doi.org/10.1080/02664769922052.

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9

Bergman, Oren, and Shinji Hirano. "The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models." Journal of High Energy Physics 2004, no. 01 (2004): 043. http://dx.doi.org/10.1088/1126-6708/2004/01/043.

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10

Ding, J., S. Pakuliak, and S. Khoroshkin. "Factorization of the universalR-matrix for $$U_q \left( {\hat sl_2 } \right)^1 $$." Theoretical and Mathematical Physics 124, no. 2 (2000): 1007–37. http://dx.doi.org/10.1007/bf02551074.

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11

Marci-Boehncke, Gudrun, and Matthias O. Rath. "Flipped Matrix." Ludwigsburger Beiträge zur Medienpädagogik 22 (May 2, 2022): 1–21. http://dx.doi.org/10.21240/lbzm/22/02.

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Die Arbeit auf digitalen Plattformen verlangt in besonderer Weise die Auseinandersetzung mit der digitalen Raumaneignung. Dazu nimmt der Beitrag Bezug zu Konzepten der Raumtheorie aus Architektur und Soziologie. Die Überlegung, dass sowohl spatiale als auch soziale Aspekte wichtig sind und reale soziale Begegnungen kompensiert werden müssen in einem Ambiente mit anderen sozialen Machtstrukturen, als diese im realen universitären Arbeitsalltag üblich sind, hat die beiden Seminarleitenden ein Flipped-Matrix-Konzept entwickeln lassen, das eine Räumlichkeit in den Lernbewegungen zweidimensional si

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12

Chave, Alan D., and David J. Thomson. "A bounded influence regression estimator based on the statistics of the hat matrix." Journal of the Royal Statistical Society: Series C (Applied Statistics) 52, no. 3 (2003): 307–22. http://dx.doi.org/10.1111/1467-9876.00406.

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13

Hazarika, Bipan, and Anupam Das. "Some properties of Generalized Fibonacci difference bounded and $p$-absolutely convergent sequences." Boletim da Sociedade Paranaense de Matemática 36, no. 1 (2018): 37. http://dx.doi.org/10.5269/bspm.v36i1.30960.

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The main objective of this paper is to introduced a new sequence space $l_{p}(\hat{F}(r,s)),$ $ 1\leq p \leq \infty$ by using the band matrix $\hat{F}(r,s).$ We also establish a few inclusion relations concerning this space and determine its $\alpha-,\beta-,\gamma-$duals. We also characterize some matrix classes on the space $l_{p}(\hat{F}(r,s))$ and examine some geometric properties of this space.

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14

Eksik, Ömer, R. Ajit Shenoi, Stuart S. J. Moy, and Han Koo Jeong. "Experiments on Top-Hat–Stiffened Panels of Fiber-Reinforced–Plastic Boat Structures." Marine Technology and SNAME News 44, no. 01 (2007): 1–15. http://dx.doi.org/10.5957/mt1.2007.44.1.1.

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The paper outlines an experimental procedure devised to assess the strength of top-hat-stiffened panels under uniform pressure load. Structural stiffness issues and their dependence on lay-up have been explored. The nature of the failure, from matrix cracking through the final collapse, is detailed. Included in the discussion is the nature of failure modes and their linkage to lay-up design. Numerous strain and digital dial gauges were used to collect important information.

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15

Shibayama, Sanai, Koki Kirishima, and Hirokazu Yanagihara. "Modified C criterion for models with predicted responses as multiplication of a hat matrix." Procedia Computer Science 246 (2024): 1944–53. http://dx.doi.org/10.1016/j.procs.2024.09.714.

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16

Dufrenois, F., and J. C. Noyer. "Formulating Robust Linear Regression Estimation as a One-Class LDA Criterion: Discriminative Hat Matrix." IEEE Transactions on Neural Networks and Learning Systems 24, no. 2 (2013): 262–73. http://dx.doi.org/10.1109/tnnls.2012.2228229.

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17

Qi, Xinyu, Jinru Wang, and Jiating Shao. "Minimax perturbation bounds of the low-rank matrix under Ky Fan norm." AIMS Mathematics 7, no. 5 (2022): 7595–605. http://dx.doi.org/10.3934/math.2022426.

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<abstract><p>This paper considers the minimax perturbation bounds of the low-rank matrix under Ky Fan norm. We first explore the upper bounds via the best rank-$ r $ approximation $ \hat{A}_r $ of the observation matrix $ \hat{A} $. Next, the lower bounds are established by constructing special matrix groups to show the upper bounds are tight on the low-rank matrix estimation error. In addition, we derive the rate-optimal perturbation bounds for the left and right singular subspaces under Ky Fan norm $ \sin\Theta $ distance. Finally, some simulations have been carried out to suppor

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18

Sadovnichii, V. A., Ya T. Sultanaev, and N. F. Valeev. "OPTIMIZATION SPECTRAL PROBLEM FOR THE STURM-LIOUVILLE OPERATOR IN THE SPACE OF VECTOR FUNCTIONS." Доклады Российской академии наук. Математика, информатика, процессы управления 513, no. 1 (2023): 93–98. http://dx.doi.org/10.31857/s2686954323600477.

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An inverse spectral optimization problem is considered: for a given matrix potential \({{Q}_{0}}(x)\) it is required to find the matrix function \(\hat {Q}(x)\) closest to it, such that the k-th eigenvalue of the Sturm–Liouville matrix operator with potential \(\hat {Q}(x)\) matched the given value \(\lambda {\kern 1pt} *\). The main result of the paper is the proof of existence and uniqueness theorems. Explicit formulas for the optimal potential are established through solutions to systems of nonlinear differential equations of the second order, known in mathematical physics as systems of non

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19

Hildenbrand, Bruno. "Genogrammarbeit." PiD - Psychotherapie im Dialog 20, no. 04 (2019): 11–12. http://dx.doi.org/10.1055/a-0771-7782.

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Mit Genogrammarbeit wird die objektive soziale Matrix 1 beschrieben, in der ein Klient sich individuiert hat. Es wird rekonstruiert, wie Vorfahren im Rahmen ihrer sozialen Matrix für Möglichkeiten und Hindernisse individuelle Lösungen gefunden haben.

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20

Chen, Tsung Chia, and You Min Huang. "An Elasto-Plastic Finite Element Analysis of the Hat-Type Drawing Process of Sheet Metal." Materials Science Forum 505-507 (January 2006): 709–14. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.709.

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This study aims to clarify the process conditions of the hat-type drawing of a sheet metal of steel. It provides a model that predicts not only the correct punch load for drawing, but also the precise final shape of products after unloading, based on the tensile properties of the material and the geometry of the tools used. An elasto-plastic incremental finite-element computer code, based on an updated Lagrangian formulation, was developed to simulate the hat-type drawing of sheet metal. In particular, selective reduced integration was adopted to formulate the stiffness matrix. The extended r-

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21

Cheung, Lawrence C., and Tamer A. Zaki. "An exact representation of the nonlinear triad interaction terms in spectral space." Journal of Fluid Mechanics 748 (April 28, 2014): 175–88. http://dx.doi.org/10.1017/jfm.2014.179.

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AbstractSpectral analysis of the Navier–Stokes equations requires treatment of the convolution of pairs of Fourier transforms $\hat{f}$ and $\hat{g}$. An exact, tractable representation of the nonlinear terms in spectral space is introduced, and relies on the definition and manipulation of a combination matrix. A spectral energy equation is derived where the nonlinear triad interactions are expressed using the combination matrix. The formulation is applied to the problem of homogeneous, isotropic turbulence. By finding the solution in an appropriate canonical basis, the energy spectrum in the

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22

Tripathi, Manoj P., Vipul K. Baranwal, Ram K. Pandey, and Om P. Singh. "A new numerical algorithm to solve fractional differential equations based on operational matrix of generalized hat functions." Communications in Nonlinear Science and Numerical Simulation 18, no. 6 (2013): 1327–40. http://dx.doi.org/10.1016/j.cnsns.2012.10.014.

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23

Sekine, Kouta, Mitsuhiro T. Nakao, and Shin’ichi Oishi. "A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator." Numerische Mathematik 146, no. 4 (2020): 907–26. http://dx.doi.org/10.1007/s00211-020-01155-7.

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AbstractInfinite-dimensional Newton methods can be effectively used to derive numerical proofs of the existence of solutions to partial differential equations (PDEs). In computer-assisted proofs of PDEs, the original problem is transformed into the infinite-dimensional Newton-type fixed point equation $$w = - {\mathcal {L}}^{-1} {\mathcal {F}}(\hat{u}) + {\mathcal {L}}^{-1} {\mathcal {G}}(w)$$ w = - L - 1 F ( u ^ ) + L - 1 G ( w ) , where $${\mathcal {L}}$$ L is a linearized operator, $${\mathcal {F}}(\hat{u})$$ F ( u ^ ) is a residual, and $${\mathcal {G}}(w)$$ G ( w ) is a nonlinear term. Th

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24

Huzak, Miljenko, Snježana Lubura Strunjak, and Andreja Vlahek vStrok. "An approximate maximum likelihood estimator of drift parameters in a multidimensional diffusion model." Glasnik Matematicki 59, no. 1 (2024): 213–58. http://dx.doi.org/10.3336/gm.59.1.10.

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For a fixed \(T\) and \(k \geq 2\), a \(k\)-dimensional vector stochastic differential equation \(dX_t=\mu(X_t, \theta)\,dt+\nu(X_t)\,dW_t,\) is studied over a time interval \([0,T]\). Vector of drift parameters \(\theta\) is unknown. The dependence in \(\theta\) is in general nonlinear. We prove that the difference between approximate maximum likelihood estimator of the drift parameter \(\overline{\theta}_n\equiv \overline{\theta}_{n,T}\) obtained from discrete observations \((X_{i\Delta_n}, 0 \leq i \leq n)\) and maximum likelihood estimator \(\hat{\theta}\equiv \hat{\theta}_T\) obtained fro

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25

Chen, Yinlan, and Yawen Lan. "The best approximation problems between the least-squares solution manifolds of two matrix equations." AIMS Mathematics 9, no. 8 (2024): 20939–55. http://dx.doi.org/10.3934/math.20241019.

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In this paper, we will deal with the following two classes of best approximation problems about the linear manifolds: <b>Problem 1.</b> Given matrices $ A_1, B_1, C_1, $ and $ D_1 \in {\mathbb R}^{ m \times n} $, find $ d(L_1, L_2) = \min_{X\in L_1, Y\in L_2}\|X-Y\|, $ and find $ \hat{X}\in L_1, \hat{Y}\in L_2 $ such that $ \|\hat{X}-\hat{Y}\| = d(L_1, L_2) $, where $ L_1 = \left\{{X \in {\mathbb {SR}} ^{n \times n} \left|{\ \|A_1X-B_1\| = \min}\right.} \right\} $ and $ L_2 = \left\{{Y \in {\mathbb {SR}} ^{n \times n} \left|{\ \|C_1Y-D_1\| = \min}\right.} \right\} $. <b>Probl

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26

Rivals, Isabelle, and Léon Personnaz. "Jacobian Conditioning Analysis for Model Validation." Neural Computation 16, no. 2 (2004): 401–18. http://dx.doi.org/10.1162/089976604322742083.

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Our aim is to stress the importance of Jacobian matrix conditioning for model validation. We also comment on Monari and Dreyfus (2002), where, following Rivals and Personnaz (2000), it is proposed to discard neural candidates that are likely to overfit and/or for which quantities of interest such as confidence intervals cannot be computed accurately. In Rivals and Personnaz (2000), we argued that such models are to be discarded on the basis of the condition number of their Jacobian matrix. But Monari and Dreyfus (2002) suggest making the decision on the basis of the computed values of the leve

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Mirzaee, Farshid, and Nasrin Samadyar. "Numerical solution of two dimensional stochastic Volterra–Fredholm integral equations via operational matrix method based on hat functions." SeMA Journal 77, no. 3 (2020): 227–41. http://dx.doi.org/10.1007/s40324-020-00213-2.

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Thielen, Claude, and Thomas R. Rüde. "Kluft-Matrix-Interaktion als bedeutendes Merkmal des Stofftransportes im karbonatisch gebundenen Luxemburger Sandstein." Grundwasser 27, no. 1 (2022): 67–76. http://dx.doi.org/10.1007/s00767-021-00502-1.

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ZusammenfassungDer Luxemburger Sandstein ist eine kalkgebundene Sandsteinfazies, die sich während des frühen Jura auf einem flachmarinen Schelf abgelagert hat. Mit seinem ausgezeichneten Porenanteil bildet er das wichtigste Grundwasservorkommen Luxemburgs, besitzt durch seine Klüfte und deren Bedeutung für den Grundwassertransport jedoch einen komplexen Stofftransport. Diese Arbeit untersucht mithilfe von Laborexperimenten die Kluft-Matrix-Interaktion und ihre Auswirkung auf den Stofftransport im oberflächennahen Aquifer. An Bohrkernen und frisch gebrochenem Material aus einem Steinbruch werde

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Beaufort, Nathalie, Dominique Leduc, Hiroshi Eguchi, et al. "The human airway trypsin-like protease modulates the urokinase receptor (uPAR, CD87) structure and functions." American Journal of Physiology-Lung Cellular and Molecular Physiology 292, no. 5 (2007): L1263—L1272. http://dx.doi.org/10.1152/ajplung.00191.2006.

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The human airway trypsin-like protease (HAT) is a respiratory epithelium-associated, type II transmembrane serine protease, which is also detected as an extracellular enzyme in lung fluids during airway inflammatory disorders. We have evaluated its capacity to affect the urokinase-type plasminogen activator receptor (uPAR), a membrane glycolipid-anchored, three-domain (D1D2D3) glycoprotein that plays a crucial role in innate immunity and inflammation by supporting cell migration and matrix degradation, with structure and biological properties that can be regulated via limited endoproteolysis.

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Schluchtermann, Jorg, and Johannes Heller. "Vom Nutzen des Interessenausgleichs: „Win-Win – What else“?" Klinik Einkauf 01, no. 03 (2019): 18–19. http://dx.doi.org/10.1055/s-0039-1697747.

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Ohne Win-Win geht gar nichts. Selbst hartgesottene Monopolisten wissen, dass es langfristig nur Vorteile bringt, wenn ein Interessenausgleich zwischen Lieferanten und Kunden entsteht. Der amerikanische Verhaltenswissenschaftler Roy Lewicki hat bereits Anfang der 90er Jahre mit seiner Matrix Orientierungshilfe für Verhandlungen im Einkauf gegeben.

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Zeng, Min, and Yongxin Yuan. "On the solutions of the dual matrix equation $ A^\top XA = B $." Mathematical Modelling and Control 3, no. 3 (2023): 210–17. http://dx.doi.org/10.3934/mmc.2023018.

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<abstract><p>Let $ \mathbb{D}^{m \times n} = \{A = A_{1}+\varepsilon A_{2}|A_{1}, A_{2}\in \mathbb{R}^{m \times n}\} $ be the set of all $ m\times n $ real dual matrices. In this paper, the following problems are considered. <bold>Problem I:</bold> Given dual matrices $ A = A_{1}+\varepsilon A_{2}\in \mathbb{D}^{m\times n} $ and $ B = B_{1}+\varepsilon B_{2}\in \mathbb{D}^{n\times n} $, find $ X\in S $ such that the dual matrix equation $ A^\top XA = B $ is satisfied, where $ S = \{X\in \mathbb{D}^{m \times m}|CX = D, C, D\in \mathbb{D}^{p \times m}\} $. <bold>Pro

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Ganassali, Luca, Marc Lelarge, and Laurent Massoulié. "Spectral alignment of correlated Gaussian matrices." Advances in Applied Probability 54, no. 1 (2022): 279–310. http://dx.doi.org/10.1017/apr.2021.31.

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Abstract In this paper we analyze a simple spectral method (EIG1) for the problem of matrix alignment, consisting in aligning their leading eigenvectors: given two matrices A and B, we compute two corresponding leading eigenvectors $v_1$ and $v'_{\!\!1}$ . The algorithm returns the permutation $\hat{\pi}$ such that the rank of coordinate $\hat{\pi}(i)$ in $v_1$ and that of coordinate i in $v'_{\!\!1}$ (up to the sign of $v'_{\!\!1}$ ) are the same. We consider a model of weighted graphs where the adjacency matrix A belongs to the Gaussian orthogonal ensemble of size $N \times N$ , and B is a n

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33

Heydari, M. H., M. R. Hooshmandasl, F. M. Maalek Ghaini, and C. Cattani. "A computational method for solving stochastic Itô–Volterra integral equations based on stochastic operational matrix for generalized hat basis functions." Journal of Computational Physics 270 (August 2014): 402–15. http://dx.doi.org/10.1016/j.jcp.2014.03.064.

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Gervas, Hamenyimana Emanuel, Nicholas Kwasi-Do Ohene Opoku, and Shamsuddeen Ibrahim. "Mathematical Modelling of Human African Trypanosomiasis Using Control Measures." Computational and Mathematical Methods in Medicine 2018 (November 22, 2018): 1–13. http://dx.doi.org/10.1155/2018/5293568.

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Human African trypanosomiasis (HAT), commonly known as sleeping sickness, is a neglected tropical vector-borne disease caused by trypanosome protozoa. It is transmitted by bites of infected tsetse fly. In this paper, we first present the vector-host model which describes the general transmission dynamics of HAT. In the tsetse fly population, the HAT is modelled by three compartments, while in the human population, the HAT is modelled by four compartments. The next-generation matrix approach is used to derive the basic reproduction number, R0, and it is also proved that if R0≤1, the disease-fre

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Yang, Yong Jun, In Young Yang, and Ju Ho Choi. "The Collapse Characteristics of CFRP Hat-Shaped Sectional Members under Moisture Absorptions Having the Temperature Change." Key Engineering Materials 535-536 (January 2013): 426–29. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.426.

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CFRP composite with light weight, high strength, and high elasticity compared to metal is widely used rather than previous steel plates. However, CFRP composite material has the weakness in hygrothermal and impact collapsed environment. Especially, moisture absorption into composite material under hygrothermal environment can change molecule arrangement and chemical properties. Therefore, the purpose of this study lies in acquiring quantitative design data that can be put into the practice by comparing and evaluating the strength degradation under the environment where the moisture is absorbed

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Detcherry, Renaud, and Stavros Garoufalidis. "A diagrammatic approach to the AJ Conjecture." Mathematische Annalen 378, no. 1-2 (2020): 447–84. http://dx.doi.org/10.1007/s00208-020-02028-y.

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Abstract The AJ Conjecture relates a quantum invariant, a minimal order recursion for the colored Jones polynomial of a knot (known as the $$\hat{A}$$ A ^ polynomial), with a classical invariant, namely the defining polynomial A of the $${\mathrm {PSL}_2(\mathbb {C})}$$ PSL 2 ( C ) character variety of a knot. More precisely, the AJ Conjecture asserts that the set of irreducible factors of the $$\hat{A}$$ A ^ -polynomial (after we set $$q=1$$ q = 1 , and excluding those of L-degree zero) coincides with those of the A-polynomial. In this paper, we introduce a version of the $$\hat{A}$$ A ^ -pol

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Brock, Kerry G. "How rare are singular matrices?" Mathematical Gazette 89, no. 516 (2004): 378–84. http://dx.doi.org/10.1017/s0025557200178210.

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Just how many matrices have inverses? In elementary linear algebra courses, many of the matrices encountered are singular, but perhaps the reason is that such matrices provide rich and interesting examples. How many of them occur naturally? Many beginning students observe that a singular matrix can be made nonsingular by very minor tweaking – changing just one entry, for example, will make a matrix of rank n – 1 into a full rank (nonsingular) matrix. In fact, changing one entry just a tiny bit will do it. Looking at the question from that point of view, with a little experimentation students b

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M. P., Iwundu,. "Construction of Modified Central Composite Designs for Non-standard Models." International Journal of Statistics and Probability 7, no. 5 (2018): 95. http://dx.doi.org/10.5539/ijsp.v7n5p95.

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The use of loss function in studying the reduction in determinant of information matrix due to missing observations has effectively produced designs that are robust to missing observations. Modified central composite designs are constructed for non-standard models using principles of the loss function or equivalently first compound of (I ) matrix associated with hat matrix . Although central composite designs (CCDs) are reasonably robust to model mis-specifications, efficient designs with fewer design points are more economical. By classifying the losses due to missing design points in the CCD

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GIL’, MICHAEL. "SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS." Journal of the Australian Mathematical Society 106, no. 1 (2018): 19–30. http://dx.doi.org/10.1017/s1446788718000058.

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Let ${\mathcal{H}}=\mathbb{C}^{n}\otimes {\mathcal{E}}$ be the tensor product of a Euclidean space $\mathbb{C}^{n}$ and a separable Hilbert space ${\mathcal{E}}$. Our main object is the operator $G=I_{n}\otimes S+A\otimes I_{{\mathcal{E}}}$, where $S$ is a normal operator in ${\mathcal{E}}$, $A$ is an $n\times n$ matrix, and $I_{n},I_{{\mathcal{E}}}$ are the unit operators in $\mathbb{C}^{n}$ and ${\mathcal{E}}$, respectively. Numerous differential operators with constant matrix coefficients are examples of operator $G$. In the present paper we show that $G$ is similar to an operator $M=I_{n}\

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KHAJEHNASIRI, AMIRAHMAD, M. AFSHAR KERMANI, and REZZA EZZATI. "Fractional Order Operational Matrix Method for Solving Two-Dimensional Nonlinear Fractional Volterra Integro-Differential Equations." Kragujevac Journal of Mathematics 45, no. 4 (2021): 571–85. http://dx.doi.org/10.46793/kgjmat2104.571k.

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This article presents a numerical method for solving nonlinear two-dimensional fractional Volterra integral equation. We derive the Hat basis functions operational matrix of the fractional order integration and use it to solve the two-dimensional fractional Volterra integro-diﬀerential equations. The method is described and illustrated with numerical examples. Also, we give the error analysis.

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Kuzniak-Glanowska, Emilia, Dorota Glosz, Grzegorz Niedzielski, et al. "Binding of anionic Pt(ii) complexes in a dedicated organic matrix: towards new binary crystalline composites." Dalton Transactions 50, no. 1 (2021): 170–85. http://dx.doi.org/10.1039/d0dt03535a.

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Square-planar [PtL<sub>4</sub>]<sup>2−</sup> (L = CN<sup>−</sup>, Cl<sup>−</sup>, Br<sup>−</sup>) anions are bound by π-acidic HAT(CN)<sub>6</sub> in solution and in the solid state to provide the basis for the first epitaxially grown anion–π crystalline composites.

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Grigoriev, A. M., Yu B. Basok, A. D. Kirillova, et al. "Experimental approaches to creating a tissue-specific matrix for a bioartificial liver." Russian Journal of Transplantology and Artificial Organs 22, no. 3 (2020): 123–33. http://dx.doi.org/10.15825/1995-1191-2020-3-123-133.

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Shortage of donor organs for liver transplantation in the treatment of end-stage liver disease dictates the need to develop alternative methods that include technologies on tissue engineering and regenerative medicine. Objective: to study the ability of a tissue-specific matrix from decellularized human liver fragments (DHLF) to maintain adhesion and proliferation of human adipose tissue-derived mesenchymal stem cells (hAT-MSCs) and HepG2 under static conditions and in a flow-through bioreactor. Materials and methods. Treatment with surfactants (SAS) – sodium dodecyl sulfate, Triton X-100 – fo

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Bray, D. F., and C. Frank. "Ultrastructure of Ligament Extracellular Matrix After Chondroitinase ABC Digestion." Proceedings, annual meeting, Electron Microscopy Society of America 46 (1988): 250–51. http://dx.doi.org/10.1017/s0424820100103310.

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The cationic stain ruthenium hexammine trichloride (RHT) has been utilized as a connective tissue stain primarily due to its ability to stabilize and stain anionically-charged glycosaminoglycans (GAGs). A major drawback of this procedure however is that the increased preservation and visibility of the GAGs obscures other RHT-stained constituents of the “ground substance”. In order to more readily visualize these non-GAG ground substance components ligament tissue was pre-treated with chondroitinase ABC, an enzyme that removes most, if not all of the GAGs present.Segments of the midsubstance of

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Monke, Stefanie, Moulika Aline Bello, Jutta Ernst, et al. "Systematisches Erkennen von Delirien – Empfehlungen der Sektion Delir-Detektion des Delir-Netzwerks e. V." intensiv 30, no. 02 (2022): 89–95. http://dx.doi.org/10.1055/a-1721-8276.

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Ein Delir ist ein medizinischer Notfall, der umgehend behandelt werden muss. Andernfalls drohen dem Patienten gravierende Einschränkungen im Bereich der Selbstpflege oder die Entwicklung demenzieller Erkrankungen. Entscheidend für die Behandlung ist das Erkennen eines Delirs, idealerweise anhand von entsprechenden Delirscreening- und -assessmenttools. Das Delir-Netzwerk e. V. hat eine Delir-Score-Matrix entwickelt, die bei der Entscheidung für das jeweils geeignete Tool helfen soll.

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Jo, JunHyung, and Yun Lee. "1st-Order Shear Deformable Beam Formulation Based on Meshless Wavelet Galerkin Method." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/4868050.

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This paper examined and discussed a Meshless Wavelet Galerkin Method (MWGM) formulation for a first-order shear deformable beam, the properties of the MWGM, the differences between the MWGM and EFG, and programming methods for the MWGM. The first-order shear deformable beam (FSDB) consists of a pair of second-order elliptic differential equations. The weak forms of two differential equations are deduced using Hat wavelet series. The exact integration and reduced integration were used to analyze the problems. Some indeterminate beam problems are considered. Condition numbers of the stiffness ma

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Koh, Eun Im, Dae Hun Kim, and Tae Whan Kim. "Efficiency Enhancement Mechanisms in Tandem Organic Light-Emitting Devices Fabricated Utilizing a Mixed LCV: HAT-CN Layer Embedded Into a Charge Generation Layer." Journal of Nanoscience and Nanotechnology 15, no. 10 (2015): 8191–94. http://dx.doi.org/10.1166/jnn.2015.11262.

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Tandem organic light-emitting devices (OLEDs) with a mixed organic n-type 4,4′,4″-methylidynetris (n,n-dimethylaniline) and organic p-type 1,4,5,8,9,11-hexaazatriphenylenehexacarbonitrile layer embedded into a charge generation layer (CGL) were fabricated to enhance their current efficiency. The operating voltage of the tandem OLEDs with a mixed layer at 10 mA/cm2 was 1 V lower than that of the tandem OLEDs without a mixed layer due to the electrons generated from the mixed layer. The matrix-assisted laser desorption-ionization-time-of-flight mass spectrometer spectra clarified the charge gene

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Costantini, Mauro, and Pierpaolo Soravia. "On the optimal second order decrease rate for nonlinear and symmetric control systems." AIMS Mathematics 9, no. 10 (2024): 28232–55. http://dx.doi.org/10.3934/math.20241369.

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<p>When a control system has all its vector fields tangent to the level set of a given smooth function $ u $ at a point $ \hat x $, under appropriate assumptions that function can still have a negative rate of decrease with respect to the trajectories of the control system in an appropriate sense. In the case when the system is symmetric and $ u $ has a decrease rate of the second order, we characterise this fact and investigate the existence of a best possible rate in the class of piecewise constant controls. The problem turns out to be purely algebraic and depends on the eigenvalues of

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Gaitán-Lozano, R., A. Hernández-Galeana, and J. M. Rivera-Rebolledo. "NEUTRINO MASSES IN A LEFT-RIGHT MODEL WITH A LIGHT NEUTRINO MIRROR." Advances in Mathematics: Scientific Journal 11, no. 11 (2022): 1049–54. http://dx.doi.org/10.37418/amsj.11.11.5.

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In the framework of the extension of the Standard Model with gauge symmetry $SU(2)_{L} \otimes SU(2)_{R} \otimes U(1)_{Y^{\prime}}$ and additional exotic fermions known as mirror fermions, neutrino masses and mixing are studied. Starting from the most general Majorana neutrino mass matrix, we explore the possibility that one neutrino mirror plays the role of a sterile neutrino with mass on the scale of a few $eV's $, that is, $\hat{m}_1 \approx O(1\: eV)$.

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Hamburger, Andreas. "Soziales Trauma und reflexive Zeugenschaft." Trauma Kultur Gesellschaft 3, no. 1 (2025): 23–35. https://doi.org/10.30820/2752-2121-2025-1-23.

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Der Beitrag verortet Praxisaspekte der Oral History im Rahmen der Theorie des sozialen Traumas. In Interviews mit Zeitzeugen sozialer Traumata liegt das Trauma nie nur im Binnenbereich der Lebensgeschichte des Interviewten, sondern umfasst die gesamte soziale Matrix. Dieses interpersonelle Konzept des Traumas entspricht der interpersonellen Wende in der Psychoanalyse. Es ist verbunden mit der Theorie der Mentalisierung und des epistemischen Vertrauens. Diese Neubestimmung der Bezeugungspraxis in der Oral History hat Auswirkungen auf die Technik der Befragung und die Arbeit mit den Zeugnissen.

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Zhang, Jie, Andrew Pekosz, and Robert A. Lamb. "Influenza Virus Assembly and Lipid Raft Microdomains: a Role for the Cytoplasmic Tails of the Spike Glycoproteins." Journal of Virology 74, no. 10 (2000): 4634–44. http://dx.doi.org/10.1128/jvi.74.10.4634-4644.2000.

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ABSTRACT Influenza viruses encoding hemagglutinin (HA) and neuraminidase (NA) glycoproteins with deletions in one or both cytoplasmic tails (HAt− or NAt−) have a reduced association with detergent-insoluble glycolipids (DIGs). Mutations which eliminated various combinations of the three palmitoylation sites in HA exhibited reduced amounts of DIG-associated HA in virus-infected cells. The influenza virus matrix (M1) protein was also found to be associated with DIGs, but this association was decreased in cells infected with HAt− or NAt− virus. Regardless of the amount of DIG-associated protein,

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