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Relevant bibliographies by topics / Linear dependence (Mathematics)

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Academic literature on the topic 'Linear dependence (Mathematics)'

Author: Grafiati

Published: 4 June 2021

Last updated: 27 January 2023

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Journal articles on the topic "Linear dependence (Mathematics)"

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Bleicher, M. N., and G. B. Preston. "Abstract linear dependence relations." Publicationes Mathematicae Debrecen 8, no. 1-2 (2022): 55–63. http://dx.doi.org/10.5486/pmd.1961.8.1-2.03.

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Halas, Zdeněk. "Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter." Mathematica Bohemica 132, no. 2 (2007): 205–18. http://dx.doi.org/10.21136/mb.2007.134190.

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Johnson, K. G. "A theorem on abstract linear dependence relations." Publicationes Mathematicae Debrecen 8, no. 1-2 (2022): 64–67. http://dx.doi.org/10.5486/pmd.1961.8.1-2.04.

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Liu, Dayan, Xiankun Du, and Xiaosong Sun. "The linear dependence problem for power linear maps." Linear Algebra and its Applications 426, no. 2-3 (2007): 706–15. http://dx.doi.org/10.1016/j.laa.2007.05.047.

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Kumar, K. Senthil. "Linear dependence of quasi-periods over the rationals." Comptes Rendus. Mathématique 359, no. 4 (2021): 409–14. http://dx.doi.org/10.5802/crmath.171.

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CAI, GUANG-HUI. "ALMOST SURE CONVERGENCE FOR LINEAR PROCESS GENERATED BY ASYMPTOTICALLY LINEAR NEGATIVE QUADRANT DEPENDENCE PROCESSES." Communications of the Korean Mathematical Society 20, no. 1 (2005): 161–68. http://dx.doi.org/10.4134/ckms.2005.20.1.161.

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Okhrimenko, Viacheslav, and Maiia Zbіtnieva. "Mathematical Model of Tubular Linear Induction Motor." Mathematical Modelling of Engineering Problems 8, no. 1 (2021): 103–9. http://dx.doi.org/10.18280/mmep.080113.

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Problem of calculation of distribution of magnetic field induction in clearance of tubular linear induction motor (TLIM) is considered. Mathematical model is represented by Fredholm integral equations of second kind for complexes of electric field strength and density of coupled magnetization currents at interface of environments. Algorithm of calculation of distribution of magnetic field induction in TLIM clearance has been developed. Dependence of magnetic field induction in motor clearance on value of pole division is investigated. There is area of optimum pole pitch. Reliability of results of calculations on mathematical model is confirmed by their comparison with results obtained on physical model. Calculated dependence of induction on thickness of runner's iron circuit also has extreme character. Given model can be used at design stage of TLIM. Model allows calculating its optimal geometric dimensions based on criterion of maximum induction in motor clearance, taking into account physical properties of applied materials.

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Xie, Yuan-tao, Juan Yang, Chong-guang Jiang, Zi-yu Cai, and Joshua Adagblenya. "Incidence, Dependence Structure of Disease, and Rate Making for Health Insurance." Mathematical Problems in Engineering 2018 (August 12, 2018): 1–13. http://dx.doi.org/10.1155/2018/4265801.

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In order to analyze the two goals under the national strategy of “Healthy China”, this paper attempts to solve the problem of coverage rate and guarantee level of health insurance, as well as the rational allocation of full life cycle health insurance resources. This paper uses pair copula to model the dependence of different disease incidence and proposes an actuarial model for rate making in health insurance based on the dependence captured by pair copula. These are far more accurate than any other model and more proper for covering a basket of several different diseases. The data for the paper was drawn from the experience incidence table of major diseases (malignant tumor, acute myocardial infarction, and stroke sequelae) from the ages 0-65 years in the Chinese life insurance industry. Extending the hypothesis of independence in actuarial modeling, the authors comprehensively use a hierarchical copula theory to extract the dependence structure of risk variable in insurance. The classification rate making technology and survival analysis method in traditional actuarial pricing were also considered. This paper applied the generalized linear model, which is commonly used in nonlife insurance pricing for empirical study of health insurance rate making. The authors discovered that the incidence of major diseases and the single premium rate calculated by the generalized linear model under HAC dependence structure were both significantly different from that calculated by the Manchester United method without dependency. The authors also stated that the rate based on the generalized linear model under HAC dependence structure was a bit different from that without dependency but both were generally the same as that of Care Expert in PICC Health. The underestimation or overestimation of systematic risks and the distortion of the rate system can be eliminated if we combine risk dependence into modeling.

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Knops, R. J., and L. E. Payne. "Improved estimates for continuous data dependence in linear elastodynamics." Mathematical Proceedings of the Cambridge Philosophical Society 103, no. 3 (1988): 535–59. http://dx.doi.org/10.1017/s0305004100065142.

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In a previous paper [6], the present authors established estimates for the continuous dependence of the solution on various data in the initial boundary value problem of linear elastodynamics on a bounded region of space. The main conclusion concerned continuous dependence on the body-force, but also it was shown how this result could be used to derive continuous dependence on the initial data, elasticities, boundary data and initial geometry. The method adopted was based upon logarithmic convexity arguments and hence led naturally to continuity in the sense of Hölder on compact sub-intervals of time. A special feature of the study entailed the lack of any sign-definiteness conditions on the elasticities which, of course, in the absence of any a priori constraint on the solution always gives rise to an ill-posed problem. (See, for instance, the comprehensive survey by Payne [10].)

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Barańczuk, Stefan. "Hasse principle for linear dependence in Mordell-Weil groups." Functiones et Approximatio Commentarii Mathematici 62, no. 1 (2020): 81–85. http://dx.doi.org/10.7169/facm/1792.

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Dissertations / Theses on the topic "Linear dependence (Mathematics)"

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Seater, Robert. "Efficient handling of dependence analysis for arrays." Diss., Connect to the thesis, 2002. http://hdl.handle.net/10066/1541.

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Ma, Jinhua. "Dependency modeling for information fusion with applications in visual recognition." HKBU Institutional Repository, 2013. https://repository.hkbu.edu.hk/etd_ra/1522.

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Petersson, Niclas. "The Maximum Displacement for Linear Probing Hashing." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-9545.

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In this thesis we study the standard probabilistic model for hashing with linear probing. The main purpose is to determine the asymptotic distribution for the maximum displacement. Depending on the ratio between the number of items and the number of cells, there are several cases to consider. Paper I solves the problem for the special case of almost full hash tables. That is, hash tables where every cell but one is occupied. Paper II completes the analysis by solving the problem for all remaining cases. That is, for every case where the number of items divided by the number of cells lies in the interval [0,1]. The last two papers treat quite different topics. Paper III studies the area covered by the supremum process of Brownian motion. One of the main theorems in Paper I is expressed in terms of the Laplace transform of this area. Paper IV provides a new sufficient condition for a collection of independent random variables to be negatively associated when conditioned on their total sum. The condition applies to a collection of independent Borel-distributed random variables, which made it possible to prove a Poisson approximation that where essential for the completion of Paper II.

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Bružaitė, Kristina. "Some linear models of time series with nonstationary long memory." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2009. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2009~D_20090312_091000-74094.

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In the thesis is studied the limit distribution of partial sums of certain linear time series models with nonstationary long memory and certain statistics which involve partial sums processes. Philippe, Surgailis, Viano (2006, 2008) introduced time-varying fractionally integrated filters and studied the limit distribution of partial sums processes of these filters under finite variance set-up. In the thesis is studied the limit distribution of partial sums processes of infinite variance time-varying fractionally integrated filters. We assume that the innovations belong to the domain of attraction of an α-stable law (1<α<2) and show that the partial sums process converges to some α-stable self-similar process. In the thesis is studied the limit of the Increment Ratio (IR) statistic for Gaussian observations superimposed on a slowly varying deterministic trend. The IR statistic was introduced in Surgailis, Teyssière, Vaičiulis (2008) and its limit distribution was studied under the assumption of stationarity of observations. The IR statistic can be used for testing nonparametric hypotheses about d-integrated (-1/2 < d <3/2) behavior of the time series, which can be confused with deterministic trends and change-points. This statistic is written in terms of partial sums process and its limit is closely related to the limit of partial sums. In particularly, the consistency of the IR statistic uses asymptotic independence of distant partial sums, the fact is established in the... [to full text]<br>Disertacijoje ištirti trupmeniškai integruotų tiesinių laiko eilučių modelių su nestacionaria ilgąja atmintimi dalinių sumų ribiniai skirstiniai ir tam tikros statistikos, susijusios su dalinių sumų procesais. Philippe, Surgailis, Viano 2006 ir 2008 m. darbuose apibrėžė kintančius laike trupmeniškai integruotus filtrus su baigtine dispersija ir nagrinėjo jų dalinių sumų ribinius skirstinius. Disertacijoje ištirti tokių procesų dalinių sumų ribiniai skirstiniai, kai dispersija begalinė, laikant, kad inovacijos priklauso α–stabilaus dėsnio traukos sričiai (čia 1<α<2). Įrodyta, kad dalinių sumų procesas konverguoja į tam tikrą α–stabilų savastingąjį procesą su nestacionariais pokyčiais. Surgailis, Teyssière, Vaičiulis 2008 m. darbe įvedė pokyčių santykių arba IR (= Increment Ratio) statistiką ir parodė, kad IR statistika gali būti naudojama tikrinti neparametrinėms hipotezėms apie stacionariosios laiko eilutės ilgąją atmintį bei ilgosios atminties parametrą d. Disertacijoje apibendrinti šių autorių gauti rezultatai, t. y. įrodyta IR statistikos centrinė ribinė teorema ir gauti poslinkio įverčiai, kai stebiniai aprašomi tiesiniu laiko eilutės modeliu su trendu. Praplėsta laiko eilučių klasė, kuriai IR statistika yra pagrįsta, t. y. konverguoja į vidurkį.

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Ramnarayan, Kalind. "Level Dependence in Volatility in Linear-Rational Term Structure Models." Master's thesis, Faculty of Commerce, 2019. http://hdl.handle.net/11427/31207.

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The degree of level dependence in interest rate volatility is analysed in the linearrational term structure model. The linear-rational square-root (LRSQ) model, where level dependence is set a priori, is compared to a specification where the factor process follows CEV-type dynamics which allows a more flexible degree of level dependence. Parameters are estimated using an unscented Kalman filter in conjunction with quasi-maximum likelihood. An extended specification for the state price density process is required to ensure reliable parameter estimates. The empirical analysis indicates that the LRSQ model generally overestimates level dependence. Although the CEV specification captures the degree of level dependence in volatility more accurately, it has a trade-off with analytical tractability. The optimal specification, therefore, depends on the type of model implementation and general economic conditions.

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Schwellnus, Adrian. "Linear-Rational Term Structure Models With Flexible Level-Dependent Volatility." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29215.

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The Linear-Rational Framework for the modelling of interest rates is a framework which allows for the addition of spanned and unspanned factors, while maintaining a lower bound on rates and tractable valuation of interest rate derivatives, particularly swaptions. The advantages of having all these properties are significant. This dissertation presents the Linear-Rational Framework, and specializes the factor process to a class of diffusion models which allows for the degree of state dependence of volatility to be estimated. This dissertation then finds that the estimated state dependent volatility structure is significantly different to that of typical models, where it is set it a priori. The effect the added degree of freedom has on the model implied swaption skew is then analysed.

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Ingram, Mary Ann. "Estimation for linear systems driven by point processes with state dependent rates." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/14887.

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Schuverdt, Maria Laura. "Metodos de lagrangiano aumentado com convergencia utilizando a condição de dependencia linear positiva constante." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307475.

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Orientadores: Jose Mario Martinez, Roberto Andreani<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-05T13:39:47Z (GMT). No. of bitstreams: 1 Schuverdt_MariaLaura_D.pdf: 1606082 bytes, checksum: 6abf2c2c3c8ff70ce48c73fc1732d3c0 (MD5) Previous issue date: 2006<br>Resumo: Condições de qualificação são ferramentas úteis na análise de convergência de métodos de otimização. Neste trabalho provamos que a nova condição de dependência linear positiva constante (CPLD) é uma condição de qualificação e mostramos que ela é mais fraca que condições clássicas, como regularidade, Mangasarian- Fromovitz e posto constante. Além disso, apresentamos um algo ritmo de Lagrangiano aumentado para resolver problemas gerais de programação matemática com convergência utilizando a CPLD. O algo ritmo proposto é definido para resolver problemas com dois conjuntos de restrições: um, mais complexo, formado pelas restrições que são penalizadas e, outro, mais simples, pelas restrições que são satisfeitas por todos os iterados gerados no processo. O resultado de convergência global estabelece que se um ponto limite da seqüência gerada pelo algoritmo satisfaz a condição CPLD então esse ponto é um ponto estacionário do problema original. O resultado de convergência global obtido é mais forte que resultados de convergência para problemas mais específicos obtidos utilizando condições de qualificação mais fortes, como a regularidade. Indicamos também as hipóteses adequadas sob as quais obtemos limitação do parâmetro de penalidade. A confiabilidade do algo ritmo foi testada mediante uma exaustiva comparação com o algoritmo LANCELOT, mostrando que nosso método é mais robusto e eficiente. Além disso, e como aplicação do nosso algoritmo no caso em que restrições diferentes são incorporadas no problema, apresentamos a resolução de problemas de alocação nos quais existem muitas restrições não-lineares no conjunto complexo. Utilizando o método de Gradiente Projetado Espectral mostramos que problemas desse tipo com muitas variáveis e restrições são resolvidos de maneira eficiente num tempo razoável<br>Abstract: Contraint qualifications are useful tools in the convergence analysis of optimization methods. In this work we prove that the new constant positive linear dependence condition (CPLD) is a constraint qualification and we show that it is weaker than classic constraint qualifications, like the regularity, the Mangasarian-Fromovitz and the constant rank conditions. Moreover, we introduce an augmented Lagrangian algorithm for solving general nonlinear programming problems whose convergence result uses the CPLD condition. The proposed algorithm is developed for problems with two sets of constraints: a complex one, formed by the penalized constraints and a simple one, formed by the constraints that are verified for all the iterates generated along the process. The global convergence result establishes that if a limit point of the sequence generated by the algorithm satisfies the CPLD condition then this point is a stationary point of the original problem. Thus, the global convergence result is stronger than the previous results for more specific problems obtained using stronger constraint qualification, as the regularity. We also indicate suitable conditions under which we prove boundedness of the penalty parameter. The reliability of the approach was tested by means of an exhaustive comparison against LANCELOT, demonstrating that our method is more robust and efficient. Moreover, as an application of our algorithm when different constraints are incorporated, we introduce the resolution of Location Problems in which there exist many nonlinear constraints in the complex set. We show that, employing the Spectral Projected Gradient method for solving the subproblems, this class of problems with many variables and constraints is efficiently solved with moderate computational effort<br>Doutorado<br>Otimização<br>Doutor em Matemática Aplicada

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Bui, Tang Bao Ngoc [Verfasser], Micheal [Akademischer Betreuer] Reissig, Micheal [Gutachter] Reissig, and Karen [Gutachter] Yagdjian. "Semi-linear waves with time-dependent speed and dissipation / Tang Bao Ngoc Bui ; Gutachter: Micheal Reissig, Karen Yagdjian ; Betreuer: Micheal Reissig." Freiberg : Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://d-nb.info/1220911879/34.

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Moreira, Heber Rocha. "Realimentação de saida robusta a partir de controladores dependentes de parametros para sistemas lineares incertos discretos no tempo." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/259735.

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Orientadores: Pedro Luis Dias Peres, Ricardo Coração de Leão Fontoura de Oliveira<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação<br>Made available in DSpace on 2018-08-14T06:55:42Z (GMT). No. of bitstreams: 1 Moreira_HeberRocha_M.pdf: 2003528 bytes, checksum: 9b091e7706d78e1298bd1d0603504e7f (MD5) Previous issue date: 2009<br>Resumo: Esta dissertação trata de um dos mais importantes problemas em aberto na teoria de controle, o projeto de controladores por realimentação estática de saída. A principal contribuição é propor um método para computar controladores robustos estáticos por realimentação de saída para sistemas lineares incertos discretos no tempo, usando um controlador por realimentação de estados como parâmetro de entrada do método. Além disso, os resultados são estendidos para tratar do projeto de controle H2 robusto por realimentação de saída. As condições de síntese são formuladas em termos de um procedimento convexo de otimização, baseado em um conjunto finito de desigualdades matriciais lineares. Exemplos numéricos são apresentados para ilustrar a eficiência dos metodos propostos quando comparados com outros métodos existentes na literatura.<br>Abstract: This thesis deals with one of the most important open problems in control theory, the design of static output feedback controllers. The main contribution is to propose a method to compute robust static output feedback controllers for uncertain linear discrete-time systems, using a state feedback controller as an input parameter for the method. Additionally, the results are extended to cope with H2 static output feedback control design. The synthesis conditions are formulated in terms of a convex optimization procedure, based on a finite set of linear matrix inequalities. Numerical examples are presented to illustrate the effectiveness of the proposed approach compared to other methods available in the literature.<br>Mestrado<br>Automação<br>Mestre em Engenharia Elétrica

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Books on the topic "Linear dependence (Mathematics)"

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Linear dependence: Theory and computation. Kluwer Academic/Plenum Publishers, 2000.

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Waldschmidt, Michel. Linear independence of logarithms of algebraic numbers. Institute of Mathematical Sciences, 1992.

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Bashirov, Agamirza E. Partially Observable Linear Systems Under Dependent Noises. Birkhäuser Basel, 2003.

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Fonseca, Carlos M. da. A panorama of mathematics: Pure and applied : Conference on Mathematics and Its Applications, November 14-17, 2014, Kuwait University, Safat, Kuwait. American Mathematical Society, 2016.

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Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. American Mathematical Society, 2015.

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1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. American Mathematical Society, 2011.

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Afriat, Sydney N. Linear Dependence: Theory and Computation. Springer, 2000.

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Afriat, Sydney N. Linear Dependence: Theory and Computation. Springer London, Limited, 2012.

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Generalized Linear Models For Categorical And Continuous Limited Dependent Variables. Taylor & Francis Inc, 2013.

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Cooper, Julia M. Time dependent wavemaker problem for linear waves. 1989.

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Book chapters on the topic "Linear dependence (Mathematics)"

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Wihstutz, Volker. "Parameter dependence of the Lyapunov exponent for linear stochastic systems. A survey." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076840.

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Samorodnitsky, Gennady, and Murad S. Taqqu. "Linear Models with Long-Range Dependence and with Finite or Infinite Variance." In The IMA Volumes in Mathematics and its Applications. Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-9296-5_19.

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Berck, Peter, and Knut Sydsæter. "Vectors. Linear dependence. Scalar products." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_17.

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Berck, Peter, and Knut Sydsæter. "Vectors. Linear dependence. Scalar products." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_17.

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Diekmann, Odo, Sjoerd M. Verduyn Lunel, Stephan A. van Gils, and Hanns-Otto Walther. "Time-dependent linear systems." In Applied Mathematical Sciences. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4206-2_13.

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Král, Ondřej, and Milan Hladík. "Parallel Computing of Linear Systems with Linearly Dependent Intervals in MATLAB." In Parallel Processing and Applied Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78054-2_37.

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Bárány, Imre. "On the Power of Linear Dependencies." In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-85221-6_1.

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Caps, Oliver. "Applications to linear, time-dependent evolution equations." In Teubner-Texte zur Mathematik. Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-80039-8_5.

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Cohen, Nir. "Algebraic Reflexivity and Local Linear Dependence: Generic Aspects." In Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0297-0_12.

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Feige, Uriel. "Small Linear Dependencies for Binary Vectors of Low Weight." In Bolyai Society Mathematical Studies. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-85221-6_9.

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Conference papers on the topic "Linear dependence (Mathematics)"

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Ponpetch, Kanet, Vichian Laohakosol, and Sukrawan Mavecha. "Arithmetic functions and their linear dependence." In PROCEEDINGS OF THE 13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5012173.

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Imane Zemoul, Sara, and Youcef Berkoun. "Linear Process With Associated Innovations Under Weak Dependence." In 2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI). IEEE, 2021. http://dx.doi.org/10.1109/icrami52622.2021.9585976.

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Ruengsinsub, Pattira, and Vichian Laohakosol. "LINEAR DEPENDENCE OF TWO ARITHMETIC FUNCTIONS." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525208.

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Ranaee, E., G. Porta, M. Riva, and A. Guadagnini. "Investigation of Saturation Dependency of Oil Relative Permeability during WAG Process through Linear and Non-linear PCA." In ECMOR XIV - 14th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20141800.

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Li, Meng, Mohammad Kazem Sadoughi, Zhen Hu, and Chao Hu. "System Reliability Analysis Using Hybrid Gaussian Process Model." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98173.

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Abstract This paper proposes a system reliability analysis method based on the hybrid of multivariate Gaussian process (MGP) and univariate Gaussian process (UGP) models, named as hybrid Gaussian process-based system reliability analysis (HGP-SRA). MGP and UGP models are selectively constructed for the components of a complex engineered system: MGP models are constructed over the groups of highly interdependent components and the individual UGP models are built over the components which are relatively independent of one another. A nonlinear-dependence measure, namely the randomized dependence coefficient, is adopted to adaptively learn and quantify the pairwise dependencies of the components with both linear and nonlinear dependency patterns. In the proposed HGP-SRA method, initial hybrid Gaussian process (HGP) models are first constructed with a set of near-random samples and these surrogate models are then updated with new samples that are sequentially identified based on the acquisition function named as multivariate probability of improvement (MPI). The results of two mathematical and a real-world engineering case studies suggest that the proposed method can achieve better accuracy and efficiency in system reliability estimation than the benchmark surrogate-based methods.

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Heit, John, and Shad Roundy. "A Framework to Find the Upper Bound on Power Output as a Function of Input Vibration Parameters." In ASME 2014 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/smasis2014-7444.

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This paper outlines a mathematical framework necessary to determine the optimal transducer force for a given vibration input. This relationship, between input vibration parameters and transducer force gives a critical first step in determining the optimal transducer architecture for a given vibration input. This relationship also yields a theoretical maximum energy output for a system with a given proof mass and parasitic mechanical losses, modeled as linear viscous damping. This relationship is then applied to three specific vibration inputs; a single sinusoid, the sum of two sinusoids, and a single sinusoid with a time dependent frequency (chirp). For the single sinusoidal case, the optimal transducer is found to be a linear spring, resonant with the input frequency, and a linear viscous damper, with matched impedance to the mechanical damping. The resulting transducer force for the input as a sum of two sinusoids is found to be inherently time dependent. This time dependency shows that an active system (not only dependent on the states of the system) can outperform a passive system (dependent only on the states). The final application, for a swept sinusoidal input, results in a transducer of a linear viscous damper, with matched impedance to the mechanical damping, as well as a linear spring with a time dependent coefficient.

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Alih, Ekele, and Hong Choon Ong. "The performance of robust multivariate regression in simultaneous dependence of variables in linear models." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887732.

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MARIA LAURA MARTINS-COSTA, FELIPE BASTOS DE FREITAS RACHID, and ROGÉRIO MARTINS SALDANHA DA GAMA. "HEAT CONDUCTION WITH LINEAR TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY: AN UNCONSTRAINED MATHEMATICAL DESCRIPTION." In 23rd ABCM International Congress of Mechanical Engineering. ABCM Brazilian Society of Mechanical Sciences and Engineering, 2015. http://dx.doi.org/10.20906/cps/cob-2015-2612.

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Danik, Yulia. "About the robustness of the middle stabilizing controller for quasi-linear state dependent coefficients discrete-time systems." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959627.

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Beukenberg, Markus, Michael Brodmann, Hans Weibel, and Detlef Mu¨ller. "Design of State Space Controllers for Industrial Twin Shaft Gas Turbines." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68167.

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This paper depicts the development of a new control strategy for industrial gas turbines to improve the control accuracy in the entire operating range. In the first step, a complex mathematical model has been developed, which is implemented into the controller dynamic simulation. An automatic operating point dependent linearization process permits the model to be displayed in a linear state space description. Three established controller design procedures have been applied to the process. In the past, only a small number of state space control designs have been presented for industrial gas turbines. These approaches use low order mathematical descriptions, which often do not describe the system behavior in detail. This paper presents a controller design for a more detailed mathematic model of the 15th order. It is indicated, that certain controller designs are difficult to realize or even fail. These effects result from unfavourable numerical conditions (depending on the operating point) in combination with the high order of the approximated linear system description. The tested pole placement designs show favorable closed loop system dynamic behavior and were improved by adding an integrating part to the controller.

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