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Journal articles on the topic 'Geometric and numerical sequences'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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1

Vorontsov, Oleg, Larissa Tulupova, and Iryna Vorontsova. "Discrete modeling of building structures geometric images." International Journal of Engineering & Technology 7, no. 3.2 (June 20, 2018): 727. http://dx.doi.org/10.14419/ijet.v7i3.2.15467.

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For discrete modeling of geometric images, it is possible to use the numerical method of finite differences, the static-geometric method, the mathematical apparatus of numerical sequences. Each of them has certain advantages and disadvantages, which depend on the solution of specific practical problems.This article proposes to use the geometric apparatus of superpositions together with the above-mentioned methods. It allows significantly to improve the efficiency and expanding capacities of the process of geometric images discrete modeling. In particular, it makes it possible to investigate an opportunity of interpolating as parabolic functions as well as other elementary functional dependencies.The purpose of this article is to expand capacities of the classical finite difference method and static-geometric method by using the geometric apparatus of superpositions. It allows using hyperbolic functions as interpolators for the geometric images discrete modeling.The result of this study is the obtained interpolating and extrapolating templates, which allow modeling geometric images of architectural and building constructions in a form of chain lines discrete frames.

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Ali Suliman, Bandar. "Modeling Three-Dimensional Geometric Shapes from Nucleic Acid Sequences Using a Computerized Numerical Control." International Journal of Clinical and Experimental Medical Sciences 5, no. 3 (2019): 49. http://dx.doi.org/10.11648/j.ijcems.20190503.12.

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3

Guillaume, Tristan. "Computation of the Survival Probability of Brownian Motion with Drift When the Absorbing Boundary is a Piecewise Affine or Piecewise Exponential Function of Time." International Journal of Statistics and Probability 5, no. 4 (June 27, 2016): 119. http://dx.doi.org/10.5539/ijsp.v5n4p119.

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A closed form formula is provided for the probability, in a closed time interval, that an arithmetic Brownian motion remains under or above a sequence of three affine, one-sided boundaries (equivalently, for the probability that a geometric Brownian motion remains under or above a sequence of three exponential, one-sided boundaries). The numerical evaluation of this formula can be done instantly and with the accuracy required for all practical purposes. The method followed can be extended to sequences of absorbing boundaries of higher dimension. It is also applied to sequences of two-sided boundaries.

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4

Chen, Yao, and Jian Feng. "Numerical Simulations on the Cable Clamp of a Concave Cable Arch." Applied Mechanics and Materials 105-107 (September 2011): 381–85. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.381.

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The inner concave cable arch structure has been adopted in some engineering applications in recent years. Geometric configuration of the cable clamp joint and its anti-sliding performance is the key to assure the bearing capacity for this type of structure. In this study, nonlinear finite element analysis on the cable clamp joint of a concave cable arch is performed using ABAQUS, with influences of the friction coefficients and the nonlinearity of materials are investigated. The pretension loss of bolts caused by different tightening sequences is also discussed. It is found that nearly 9% of the initial pretension force for each bolt gets lost during the tightening process, and mutual influence of the bolts can be significantly weakened by applying reasonable tightening sequence.

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Boruah, Khirod, and Bipan Hazarika. "Application of geometric calculus in numerical analysis and difference sequence spaces." Journal of Mathematical Analysis and Applications 449, no. 2 (May 2017): 1265–85. http://dx.doi.org/10.1016/j.jmaa.2016.12.066.

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6

Ji, Peng, Qing Hua Dai, Chen Bo Yin, Di Sheng Yi, Bin Wang, and Jie Zhu. "Influences of Welding Sequence on Residual Stress of Plate Butt Welding." Applied Mechanics and Materials 26-28 (June 2010): 568–72. http://dx.doi.org/10.4028/www.scientific.net/amm.26-28.568.

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For the plate butt welding of the same materials with different geometry structures, the numerical simulation was adopted to analyze the influences of welding sequence on transverse and longitudinal residual stress in the process of multi-layer and multi-pass welding. The results show that when welding from the small geometric side to the large side, the peak values of transverse and longitudinal residual stress are min along the bottom or top axis of the weld. And the welding sequences of the foremost welds have little effects on transverse and longitudinal residual stress along the bottom or top axis of the weld.

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7

He, Qi-Ming, and Marcel F. Neuts. "On the convergence and limits of certain matrix sequences arising in quasi-birth-and-death Markov chains." Journal of Applied Probability 38, no. 02 (June 2001): 519–41. http://dx.doi.org/10.1017/s0021900200020015.

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We study the convergence of certain matrix sequences that arise in quasi-birth-and-death (QBD) Markov chains and we identify their limits. In particular, we focus on a sequence of matrices whose elements are absorption probabilities into some boundary states of the QBD. We prove that, under certain technical conditions, that sequence converges. Its limit is either the minimal nonnegative solution G of the standard nonlinear matrix equation, or it is a stochastic solution that can be explicitly expressed in terms of G. Similar results are obtained relative to the standard matrix R that arises in the matrix-geometric solution of the QBD. We present numerical examples that clarify some of the technical issues of interest.

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He, Qi-Ming, and Marcel F. Neuts. "On the convergence and limits of certain matrix sequences arising in quasi-birth-and-death Markov chains." Journal of Applied Probability 38, no. 2 (June 2001): 519–41. http://dx.doi.org/10.1239/jap/996986760.

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We study the convergence of certain matrix sequences that arise in quasi-birth-and-death (QBD) Markov chains and we identify their limits. In particular, we focus on a sequence of matrices whose elements are absorption probabilities into some boundary states of the QBD. We prove that, under certain technical conditions, that sequence converges. Its limit is either the minimal nonnegative solution G of the standard nonlinear matrix equation, or it is a stochastic solution that can be explicitly expressed in terms of G. Similar results are obtained relative to the standard matrix R that arises in the matrix-geometric solution of the QBD. We present numerical examples that clarify some of the technical issues of interest.

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9

Makarov, V. L., N. O. Rossokhata, and B. I. Bandurskii. "Functional-Discrete Method with a High Order of Accuracy for the Eigenvalue Transmission Problem." Computational Methods in Applied Mathematics 4, no. 3 (2004): 324–49. http://dx.doi.org/10.2478/cmam-2004-0018.

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AbstractWe develop a functional-discrete method with a high order of accuracy to find a numerical solution of an eigenvalue transmission problem. It allows to approximate the trial eigenvalue with any desired accuracy. This approach has no restriction on the number of eigenvalues, an approximation to which can be found. The convergence rate is proved as in the case of the geometric series. It is shown that depending on the data of the original problem, two kinds of eigenvalue sequences may exist. For the first one, the convergence rate increases as the ordinal number of the trial eigenvalue increases. For the second one, the convergence rate is the same for all eigenvalues and does not depend on the ordinal number of the trial eigenvalue. Based on the asymptotic behavior of the eigenvalues of the basic problem and the functional-discrete method, a qualitative result on the arrangement of eigenvalues of the original problem is established. A number of numerical examples are given to support the theory.

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10

Sahoo, Soumya Ranjan. "Active damping of geometrically nonlinear vibrations of smart composite shells using elliptical smart constrained layer damping treatment with fractional derivative viscoelastic layer." Journal of Intelligent Material Systems and Structures 31, no. 4 (December 25, 2019): 587–611. http://dx.doi.org/10.1177/1045389x19888800.

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In this article, the performance of elliptical smart constrained layer damping treatments on active damping of geometrically nonlinear vibrations of doubly curved smart laminated composite shells is analyzed. The constraining layers of the smart constrained layer damping treatments comprised vertically/obliquely reinforced 1–3 piezoelectric composites, while the constrained layers of isotropic viscoelastic materials are modeled using the three-dimensional fractional order derivative model. A mesh-free model of the smart composite shells is developed for analyzing their nonlinear transient responses within the framework of a layerwise shear and normal deformation theory considering the von Kármán–type geometric nonlinearity. Thin, doubly curved laminated composite shells integrated with elliptical/rectangular smart constrained layer damping patches with different stacking sequences and boundary conditions are considered for presenting the numerical results. The numerical analyses demonstrate the higher effectiveness of the elliptical smart constrained layer damping treatments over the rectangular ones in attenuating the nonlinear vibrations of laminated composite shells.

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Choi, Gyoung-Sik, Suk-Geun Hwang, Ik-Pyo Kim, and Bryan L. Shader. "(±1)-Invariant sequences and truncated Fibonacci sequences." Linear Algebra and its Applications 395 (January 2005): 303–12. http://dx.doi.org/10.1016/j.laa.2004.08.018.

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12

Silva, Márcia Erondina Souza da, and Luciane Gobbi Tonet. "UMA SOLUÇÃO PARA O PROBLEMA DE FLÁVIO JOSEFO." Ciência e Natura 37 (August 7, 2015): 525. http://dx.doi.org/10.5902/2179460x14613.

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http://dx.doi.org/10.5902/2179460X14613In this paper, we present a didactic sequence of activities designed for a group of high school students, aged 15-18 years. Our main objective is to study a problem proposed by the mathematician Josephus, around the year 64. Initially, we review some content like numerical sequences, including the special cases of the Arithmetic and Geometric Progressions. Then, we introduce some notions about Recurrence Relations and the Principle of Mathematical Induction, allowing the generalization of some concepts and results which are already known intuitively by the group of students. This article is part of the dissertation entitled A Proposed Approach to Josephus Problem Applied to High School prepared by the student Erondina Marcia D. S. da Silva under the guidance of the Professor Dr. Gobbi Luciane Tonet.

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Oliveri, Vincenzo, Andrea Alaimo, and Alberto Milazzo. "Post-Buckling Analysis of Damaged Multilayered Composite Stiffened Plates by Rayleigh-Ritz Method." Applied Mechanics and Materials 828 (March 2016): 99–116. http://dx.doi.org/10.4028/www.scientific.net/amm.828.99.

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A Rayleigh-Ritz approach for the analysis of buckling and post-buckling behavior of cracked composite stiffened plates is presented. The structure is modeled as the assembly of plate elements modeled by the first order shear deformation theory and taking geometric nonlinearities into account through the von Karman’s theory assumptions. Continuity along the plate elements connected edges and the enforcement of rigid and elastic restraints of the plate boundaries are obtained by using penalty techniques, which also allow to straightforwardly implement efficient crack modeling strategies. General symmetric and unsymmetric stacking sequences are considered and numerical procedures have been developed and used to validate the present solution by comparison with FEA results. Original results are presented for post-buckling solution of multilayered stiffened plates with through-the-thickness cracks, showing the effects of large displacements on the cracked plate post-buckling behavior.

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Porto, Anderson Luiz Pedrosa, Douglas Frederico Guimarães Santiago, Leonardo Gomes, and Márcio Henrique Marques Macedo. "Do círculo ao quadrado, um estudo sobre a convergência de uma sequência de curvas." Ciência e Natura 41 (July 16, 2019): 23. http://dx.doi.org/10.5902/2179460x32231.

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In this paper we present convergence concepts applications of numerical and functions sequences to a geometric problem which raised from an analysis using GeoGebra. This question involves the traces’s family of plane curves behavior, whose initial trace of the curve is given by a circle of radius k and the whose others, intuitively, approach to a square with side measuring 2k. A proof of this convergence is done, as well a demonstration that the areas bounded by the traces of the curves and their lengths converge, respectively, to the area and length of the boundary square. We also present a brief historical setting of convergence concepts and the ideas of infinity behind these concepts. In order to be developed to graduation level, this paper goes some way meet what historically was done to determine properties of curved figures through approximations by rectilinear figures.

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15

Romano, M., I. Ehrlich, and N. Gebbeken. "Parametric characterization of a mesomechanic kinematic in plain and twill weave 2/2 reinforced composites by FE-calculations." Archives of Materials Science and Engineering 1-2, no. 97 (May 1, 2019): 20–38. http://dx.doi.org/10.5604/01.3001.0013.2869.

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Purpose: A parametric characterization of a mesomechanic kinematic caused by ondulation in fabric reinforced composites is investigated by numerical investigations. Design/methodology/approach: Due to the definition of plain representative sequences of balanced plain-weave and twill-weave 2/2 fabric reinforced single layers based on sines the variable geometric parameters are the amplitude and the length of the ondulation. Findings: The mesomechanic kinematic can be observed in the FE analyses for both kinds of fabric constructions. Research limitations/implications: The FE analyses consider elasticity and contraction due to Poisson effects, respectively, of the model under selected longitudinal strains. Practical implications: The results are evaluated at relevant positions on the centre-line of the ondulated warp-yarn of the plain representative model. A direct and linear coupling in case of the transversal kinematic behaviour, and thereby a corresponding definite reduction of the evaluated longitudinal strains in terms of the difference of the applied and determined longitudinal strains is identified. Originality/value: Both characteristic purely kinematic reactions due to geometric constraints directly depend on the introduced degree of ondulation. This non-dimensional parameter relates amplitude and length of one complete ondulation, and thus represents the intensity of the ondulation of the respective fabric construction.

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16

Huang, Xu-Hao, Jian Yang, Iftikhar Azim, Xin Ren, and Xing-er Wang. "Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates." Nanotechnology Reviews 9, no. 1 (January 1, 2020): 1625–42. http://dx.doi.org/10.1515/ntrev-2020-0106.

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Abstract In this work, a hybrid laminated plate is developed by changing ply orientations and stacking sequences. The hybrid laminated plate is composed of carbon nanotube reinforced composite and fiber reinforced composite layers. Negative Poisson’s ratio (NPR) is obtained for the case of [22F/(22C/−22C)3T/−22F] laminate. A theoretical laminated model considering geometric nonlinearity and shear deformation is presented. Based on a two-step perturbation method, the solutions of the motion equations are obtained to capture the nonlinear frequencies and load–deflection curves. On this basis, the fourth-order Runge–Kutta method is used to obtain the dynamic response of hybrid laminated plates. The presented model is verified by comparing the results obtained analytically and numerically. Several factors such as loading and distribution of carbon nanotubes (CNTs), and foundation type are considered in parametric study. Numerical results indicate that the thermal-mechanical behavior of hybrid laminated plates significantly improved by properly adjusting the CNT distribution. In addition, the results reveal that changes in temperature and foundation stiffness have pronounced influence on the nonlinear vibration characteristics of hybrid laminate plates with NPR as compared to those with positive Poisson’s ratio.

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Gumenyuk, Alexander, Artemiy Skiba, Nikolay Pozdnichenko, and Stanislav Shpynov. "About Similarity Measures of Components Arrangement of Naturally Ordered Data Arrays." SPIIRAS Proceedings 18, no. 2 (April 12, 2019): 471–503. http://dx.doi.org/10.15622/sp.18.2.471-503.

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At present, adequate mathematical tools are not used to analyze the arrangement of components in arrays of naturally ordered data of a different nature, including words or letters in texts, notes in musical compositions, symbols in sign sequences, monitoring data, numbers representing ordered measurement results, components in genetic texts. Therefore, it is difficult or impossible to measure and compare the order of messages allocated in long information chains. The main approaches for comparing symbol sequences are using probabilistic models and statistical tools, pairwise and multiple alignment, which makes it possible to determine the degree of similarity of sequences using edit distance measures. The application of pseudospectral and fractal representation of symbolic sequences is somewhat exotic. "The curse of a priori unconscious knowledge" of the obvious orderliness of the sequence should be especially noticed, as it is widespread in mathematical linguistics, bioinformatics (mathematical biology), and other similar fields of science. The noted approaches almost do not pay attention to the study and detection of the patterns of the specific arrangement of all symbols, words, and components of data sets that constitute a separate sequence. The object of study in our works is a specifically organized numerical tuple – the arrangement of components (order) in symbolic or numerical sequence. The intervals between the closest identical components of the order are used as the basis for the quantitative representation of the chain arrangement. Multiplying all the intervals or summing their logarithms allows one to get numbers that uniquely reflect the arrangement of components in a particular sequence. These numbers, allow us to obtain a whole set of normalized characteristics of the order, among which the geometric mean interval and its logarithm. Such characteristics surprisingly accurately reflect the arrangement of the components in the symbolic sequences. In this paper, we present an approach for quantitative comparing the arrangement of arrays of naturally ordered data (information chains) of an arbitrary nature. The measures of similarity/distinction and procedure of comparison of the chain order, based on the selection of a list of equal and similar by the order characteristics of the subsequences (components), are proposed. Rank distributions are used for faster selection of a list of matching components. The paper presents a toolkit for comparing the order of information chains and demonstrates some of its applications for studying the structure of nucleotide sequences.

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18

Church, Amber, Rajesh Pereira, and David Kribs. "Majorization and multiplier sequences." Linear Algebra and its Applications 435, no. 9 (November 2011): 2132–39. http://dx.doi.org/10.1016/j.laa.2011.04.005.

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19

He, Tian-Xiao. "Half Riordan array sequences." Linear Algebra and its Applications 604 (November 2020): 236–64. http://dx.doi.org/10.1016/j.laa.2020.06.019.

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20

CAO, KE-FEI, ZHONG ZHOU, WEN GAO, and SHOU-LI PENG. "GENERAL FORM OF SUPERUNIVERSALITY FOR FRACTAL DIMENSIONS IN ONE-DIMENSIONAL MAPS." International Journal of Modern Physics B 15, no. 32 (December 30, 2001): 4183–97. http://dx.doi.org/10.1142/s0217979201007956.

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In one-dimensional continuous maps, there is an internal relationship between equivalent scaling factors αe and fractal dimensions d of Feigenbaum-type attractors on all critical (accumulation) points of transitions to chaos. In general, for m-modal maps with m turning points C1,C2,…,Cm, by defining αe as the geometric average of all scaling factors αCi(i=1,2,…,m), |αe| =|αC1 αC2… αCm|1/m, the superuniversal relationship d(W) log |W| |αe(W)|=β(e) holds, where |W| is the basic period of the m-tuply superstable sequences W, and β(e) is not only independent of the concrete sequences W, but also independent of the concrete maps. This is a general superuniversality for arbitrary multimodal maps, which is verified numerically for the cases of m ≤ 3 and can also be extended to Lorenz maps with a discontinuous point.

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21

Viarouge, Arnaud, Edward M. Hubbard, Stanislas Dehaene, and Jérôme Sackur. "Number Line Compression and the Illusory Perception of Random Numbers." Experimental Psychology 57, no. 6 (January 1, 2010): 446–54. http://dx.doi.org/10.1027/1618-3169/a000055.

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Developmental studies indicate that children initially possess a compressed intuition of numerical distances, in which larger numbers are less discriminable than small ones. Education then “linearizes” this responding until by about age eight, children become able to map symbolic numerals onto a linear spatial scale. However, this illusion of compression of symbolic numerals may still exist in a dormant form in human adults and may be observed in appropriate experimental contexts. To investigate this issue, we asked adult participants to rate whether a random sequence of numbers contained too many small numbers or too many large ones. Participants exhibited a large bias, judging as random a geometric series that actually oversampled small numbers, consistent with a compression of large numbers. This illusion resisted training on a number-space mapping task, even though performance was linear on this task. While the illusion was moderately reduced by explicit exposure to linear sequences, responding was still significantly compressed. Thus, the illusion of compression is robust in this task, but linear and compressed responding can be exhibited in the same participants depending on the experimental context.

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22

Stachó, L. L., and R. Vajda. "Hermite interpolation sequences over fields." Linear Algebra and its Applications 439, no. 1 (July 2013): 66–77. http://dx.doi.org/10.1016/j.laa.2013.02.032.

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23

Bárány, Imre, and Benjamin Doerr. "Balanced partitions of vector sequences." Linear Algebra and its Applications 414, no. 2-3 (April 2006): 464–69. http://dx.doi.org/10.1016/j.laa.2005.10.024.

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24

Bernstein, M., and N. J. A. Sloane. "Some canonical sequences of integers." Linear Algebra and its Applications 226-228 (September 1995): 57–72. http://dx.doi.org/10.1016/0024-3795(94)00245-9.

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Dalfi, Hussein, Anwer J. Al-Obaidi, and Hussein Razaq. "The influence of the inter-ply hybridisation on the mechanical performance of composite laminates: Experimental and numerical analysis." Science Progress 104, no. 2 (April 2021): 003685042110232. http://dx.doi.org/10.1177/00368504211023285.

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Recently, high tensile fibres composite laminates (i.e. glass composite laminates) have been widely used in the civil and military applications due to their superior properties such as lightweight, fatigue and corrosion resistance compared to metals. Nevertheless, their brittle fracture behaviour is a real downside for many sectors. In the present study, the impact of the hybridisation of Kevlar woven layers with glass woven layers on the reducing the strain failure problem in pure glass woven laminates is investigated. In this work, multi-layers Kevlar-glass with different stacking sequences have been used to prepare the hybrid composite laminates using vacuum–assisted resin moulding method. The influence of the layers hybridisation on the mechanical performance of composites laminates was investigated using tensile strength tests. Furthermore, finite element analysis is performed to analyse the mechanical response of the hybrid composite laminates using Abaqus software. The elastic constants of woven fabric layers in the numerical study were predicted through geometric model based on the textile geometry and analytical method in order to assert accuracy of the predicted elastic constants. The experimental results showed that the hybrid composite laminates tend to fail more slowly than glass woven laminates, which illustrates low strain to failure. In the theoretical part of the study, it was found that the proposal model can be useful to capture the mechanical behaviour and the damage failure modes of hybrid laminates. Thus, the catastrophic failure can be avoided in these laminates.

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Papoulias, Fotis A., and Michael M. Bernitsas. "Autonomous Oscillations, Bifurcations, and Chaotic Response of Moored Vessels." Journal of Ship Research 32, no. 03 (September 1, 1988): 220–28. http://dx.doi.org/10.5957/jsr.1988.32.3.220.

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The dynamic behavior of single-point mooring (SPM) systems under time-independent external excitation is analyzed. The time evolution of the corresponding dynamical system is described in a six-dimensional phase space. Bifurcation sequences of state equations are studied and parameter values at which the response of the SPM changes radically are identified. Analysis of stability and instability domains of the system reveals regions of operationally hazardous response. It is shown that an SPM system under time-independent environmental excitation may not stay in a position of static equilibrium. It may start oscillating either periodically or even in a random way depending on the dimension of the attracting set in the phase space, which in general may be noninteger. This explains the large-amplitude slow motions of SPM systems, in the horizontal plane, occasionally observed in practice and often attributed to time-dependent excitation from wave drift forces. Based on these results, rational design decisions can be made for selection of the principal SPM geometric parameters in order to improve the system operability.

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Bishop, Shannon, Christopher Heil, Yoo Young Koo, and Jae Kun Lim. "Invariances of frame sequences under perturbations." Linear Algebra and its Applications 432, no. 6 (March 2010): 1501–14. http://dx.doi.org/10.1016/j.laa.2009.11.011.

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Wang, Weiping, and Chenlu Zhang. "Riordan arrays and related polynomial sequences." Linear Algebra and its Applications 580 (November 2019): 262–91. http://dx.doi.org/10.1016/j.laa.2019.06.008.

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Seidel, Markus, and Bernd Silbermann. "Banach algebras of structured matrix sequences." Linear Algebra and its Applications 430, no. 4 (February 2009): 1243–81. http://dx.doi.org/10.1016/j.laa.2008.10.021.

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Serra-Capizzano, Stefano, and Debora Sesana. "Approximating classes of sequences: The Hermitian case." Linear Algebra and its Applications 434, no. 4 (February 2011): 1163–70. http://dx.doi.org/10.1016/j.laa.2010.10.025.

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Fritzsche, Bernd, Bernd Kirstein, and Conrad Mädler. "Schur analysis of matricial Hausdorff moment sequences." Linear Algebra and its Applications 590 (April 2020): 133–209. http://dx.doi.org/10.1016/j.laa.2019.12.027.

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Bıyıkoğlu, Türker, and Josef Leydold. "Algebraic connectivity and degree sequences of trees." Linear Algebra and its Applications 430, no. 2-3 (January 2009): 811–17. http://dx.doi.org/10.1016/j.laa.2008.09.030.

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Fritzsche, Bernd, Bernd Kirstein, and Uwe Raabe. "On the structure of J-Potapov sequences." Linear Algebra and its Applications 430, no. 8-9 (April 2009): 2324–61. http://dx.doi.org/10.1016/j.laa.2008.12.012.

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Luzón, Ana, and Manuel A. Morón. "Recurrence relations for polynomial sequences via Riordan matrices." Linear Algebra and its Applications 433, no. 7 (December 2010): 1422–46. http://dx.doi.org/10.1016/j.laa.2010.05.021.

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Solak, Süleyman, and Mustafa Bahşi. "Some properties of circulant matrices with Ducci sequences." Linear Algebra and its Applications 542 (April 2018): 557–68. http://dx.doi.org/10.1016/j.laa.2017.09.010.

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Price, Geoffrey, and Myles Wortham. "On sequences of Toeplitz matrices over finite fields." Linear Algebra and its Applications 561 (January 2019): 63–80. http://dx.doi.org/10.1016/j.laa.2018.09.013.

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Encinas, A. M., and M. J. Jiménez. "Triangular sequences, combinatorial recurrences and linear difference equations." Linear Algebra and its Applications 576 (September 2019): 301–23. http://dx.doi.org/10.1016/j.laa.2018.10.015.

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Johnson, Charles R., John S. Maybee, D. D. Olesky, and P. van den Driessche. "Nested sequences of principal minors and potential stability." Linear Algebra and its Applications 262 (September 1997): 243–57. http://dx.doi.org/10.1016/s0024-3795(97)80034-1.

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Fritzsche, Bernd, Bernd Kirstein, and Uwe Raabe. "On the sequences of the Weyl semi-radii associated with matricial Carathéodory and Schur sequences in both nondegenerate and degenerate cases." Linear Algebra and its Applications 435, no. 4 (August 2011): 778–803. http://dx.doi.org/10.1016/j.laa.2011.01.040.

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Fritzsche, Bernd, Bernd Kirstein, and Conrad Mädler. "Transformations of matricial α -Stieltjes non-negative definite sequences." Linear Algebra and its Applications 439, no. 12 (December 2013): 3893–933. http://dx.doi.org/10.1016/j.laa.2013.10.002.

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Aizpuru, A., C. Pérez-Eslava, and J. B. Seoane-Sepúlveda. "Linear structure of sets of divergent sequences and series." Linear Algebra and its Applications 418, no. 2-3 (October 2006): 595–98. http://dx.doi.org/10.1016/j.laa.2006.02.041.

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Pascasio, Arlene A., and Paul Terwilliger. "The pseudo-cosine sequences of a distance-regular graph." Linear Algebra and its Applications 419, no. 2-3 (December 2006): 532–55. http://dx.doi.org/10.1016/j.laa.2006.05.017.

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Arimoto, Akio, and Takashi Ito. "Singularly positive definite sequences and parametrization of extreme points." Linear Algebra and its Applications 239 (May 1996): 127–49. http://dx.doi.org/10.1016/s0024-3795(96)90007-5.

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Boudaia, El Hassan, Lahbib Bousshine, and Ali Chaaba. "Solving Frictional Contact Problems within the Bipotential Framework." Key Engineering Materials 498 (January 2012): 55–66. http://dx.doi.org/10.4028/www.scientific.net/kem.498.55.

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The main objective of this paper is to present a theoretical and numerical analysis of frictional contact problems for large deformation elasto-plastic based on the finite element method (FEM) and the mathematical programming. The study is done on an elasto-plastic material obeying to the von Mises criterion. The Coulomb’s friction contact is used to implement the frictional boundary conditions and is formulated by the bipotential concept leading us to minimize only one variational principle of minimum in displacement. In order to follow up the sequences of large deformations, we have used the sequential analysis procedure; it consists in the updating of material properties and geometrical configuration after each sequence.

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García, Yboon, and Marc Lassonde. "Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators." Set-Valued and Variational Analysis 20, no. 1 (May 4, 2011): 61–73. http://dx.doi.org/10.1007/s11228-011-0178-8.

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Ramlow, Lukas, and Benjamin Lindner. "Interspike interval correlations in neuron models with adaptation and correlated noise." PLOS Computational Biology 17, no. 8 (August 27, 2021): e1009261. http://dx.doi.org/10.1371/journal.pcbi.1009261.

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The generation of neural action potentials (spikes) is random but nevertheless may result in a rich statistical structure of the spike sequence. In particular, contrary to the popular renewal assumption of theoreticians, the intervals between adjacent spikes are often correlated. Experimentally, different patterns of interspike-interval correlations have been observed and computational studies have identified spike-frequency adaptation and correlated noise as the two main mechanisms that can lead to such correlations. Analytical studies have focused on the single cases of either correlated (colored) noise or adaptation currents in combination with uncorrelated (white) noise. For low-pass filtered noise or adaptation, the serial correlation coefficient can be approximated as a single geometric sequence of the lag between the intervals, providing an explanation for some of the experimentally observed patterns. Here we address the problem of interval correlations for a widely used class of models, multidimensional integrate-and-fire neurons subject to a combination of colored and white noise sources and a spike-triggered adaptation current. Assuming weak noise, we derive a simple formula for the serial correlation coefficient, a sum of two geometric sequences, which accounts for a large class of correlation patterns. The theory is confirmed by means of numerical simulations in a number of special cases including the leaky, quadratic, and generalized integrate-and-fire models with colored noise and spike-frequency adaptation. Furthermore we study the case in which the adaptation current and the colored noise share the same time scale, corresponding to a slow stochastic population of adaptation channels; we demonstrate that our theory can account for a nonmonotonic dependence of the correlation coefficient on the channel’s time scale. Another application of the theory is a neuron driven by network-noise-like fluctuations (green noise). We also discuss the range of validity of our weak-noise theory and show that by changing the relative strength of white and colored noise sources, we can change the sign of the correlation coefficient. Finally, we apply our theory to a conductance-based model which demonstrates its broad applicability.

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Liu, Yingluan, and Bolian Liu. "The spectral radius of bicyclic graphs with prescribed degree sequences." Linear Algebra and its Applications 433, no. 5 (October 2010): 1015–23. http://dx.doi.org/10.1016/j.laa.2010.04.036.

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Jabłoński, Zenon J., Il Bong Jung, Jung Ah Kwak, and Jan Stochel. "Hyperexpansive completion problem via alternating sequences; an application to subnormality." Linear Algebra and its Applications 434, no. 12 (June 2011): 2497–526. http://dx.doi.org/10.1016/j.laa.2011.01.004.

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Johnson, C. R., C. Marijuán, and M. Pisonero. "Inequalities for linear combinations of monomials in p-Newton sequences." Linear Algebra and its Applications 439, no. 7 (October 2013): 2038–56. http://dx.doi.org/10.1016/j.laa.2013.05.034.

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Hon, Sean, Mohammad Ayman Mursaleen, and Stefano Serra-Capizzano. "A note on the spectral distribution of symmetrized Toeplitz sequences." Linear Algebra and its Applications 579 (October 2019): 32–50. http://dx.doi.org/10.1016/j.laa.2019.05.027.

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