Academic literature on the topic 'Linear equations'

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Journal articles on the topic "Linear equations"

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Axrorovna, Xolmatova Shoira, and Egamova Mahliyo Xo'jaqul qizi. "SOLVING LINEAR AND NON-LINEAR EQUATIONS IN INTEGERS." American Journal of Applied Sciences 6, no. 10 (2024): 23–26. http://dx.doi.org/10.37547/tajas/volume06issue10-05.

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This study explores the methods for solving linear and non-linear equations in integers, focusing on their mathematical significance and applications in various fields. The article examines both theoretical frameworks and practical algorithms, highlighting the challenges and advancements in integer solutions. Results from different approaches are presented, demonstrating the efficacy of each method.
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Rohn, Jiří. "Interval solutions of linear interval equations." Applications of Mathematics 35, no. 3 (1990): 220–24. http://dx.doi.org/10.21136/am.1990.104406.

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Kurzweil, Jaroslav, and Alena Vencovská. "Linear differential equations with quasiperiodic coefficients." Czechoslovak Mathematical Journal 37, no. 3 (1987): 424–70. http://dx.doi.org/10.21136/cmj.1987.102170.

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Chow, Sengchu. "Table of Non-Linear Simultaneous Equations." International Journal of Science and Research (IJSR) 10, no. 11 (2021): 276–85. https://doi.org/10.21275/sr211023090732.

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Patel, Roshni V., and Jignesh S. Patel. "Optimization of Linear Equations using Genetic Algorithms." Indian Journal of Applied Research 2, no. 3 (2011): 56–58. http://dx.doi.org/10.15373/2249555x/dec2012/19.

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Fraňková, Dana. "Substitution method for generalized linear differential equations." Mathematica Bohemica 116, no. 4 (1991): 337–59. http://dx.doi.org/10.21136/mb.1991.126028.

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Schwabik, Štefan. "Linear Stieltjes integral equations in Banach spaces." Mathematica Bohemica 124, no. 4 (1999): 433–57. http://dx.doi.org/10.21136/mb.1999.125994.

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Cecchi, Mariella, Zuzana Došlá, Mauro Marini, and Ivo Vrkoč. "Asymptotic properties for half-linear difference equations." Mathematica Bohemica 131, no. 4 (2006): 347–63. http://dx.doi.org/10.21136/mb.2006.133970.

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Davies, Alan, and Rainer Kress. "Linear Integral Equations." Mathematical Gazette 74, no. 470 (1990): 405. http://dx.doi.org/10.2307/3618171.

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S., F., and Rainer Kress. "Linear Integral Equations." Mathematics of Computation 56, no. 193 (1991): 379. http://dx.doi.org/10.2307/2008551.

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Dissertations / Theses on the topic "Linear equations"

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Yesilyurt, Deniz. "Solving Linear Diophantine Equations And Linear Congruential Equations." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19247.

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This report represents GCD, euclidean algorithm, linear diophantine equation and linear congruential equation. It investigates the methods for solving linear diophantine equations and linear congruential equations in several variables. There are many examples which illustrate the methods for solving equations.
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Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term
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Goedhart, Eva Govinda. "Explicit bounds for linear difference equations /." Electronic thesis, 2005. http://etd.wfu.edu/theses/available/etd-05102005-222845/.

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Jonklass, Raymond. "Learners' strategies for solving linear equations." Thesis, Stellenbosch : Stellenbosch University, 2002. http://hdl.handle.net/10019.1/52915.

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Thesis (MEd)--University of Stellenbosch, 2002.<br>ENGLISH ABSTRACT: Algebra deals amongst others with the relationship between variables. It differs from Arithmetic amongst others as there is not always a numerical solution to the problem. An algebraic expression can even be the solution to the problem in Algebra. The variables found in Algebra are often represented by letters such as X, y, etc. Equations are an integral part of Algebra. To solve an equation, the value of an unknown must be determined so that the left hand side of the equation is equal to the right hand side. There ar
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Altassan, Alaa Abdullah. "Linear equations over free Lie algebras." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/linear-equations-over-free-liealgebras(6e29b286-1869-4207-b054-8baab98e70df).html.

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In this thesis, we study equations of the form $[x_1,u_1]+[x_2, u_2]+\ldots+[x_k,u_k]=0$ over a free Lie algebra $L$, where $k>1$ and the coefficients $u_1, u_2, \ldots,u_k$ belong to $L$. The starting point of this research is a paper [22], in which the authors embarked on a systematic study of very concrete linear equations over free Lie algebras. They focused on the given equations in the case where $k=2$. We generalise and develop a number of the results on equations with two variables to equations with an arbitrary number of indeterminates. Most of the results refer to the case where the
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Chen, Hua, Wei-Xi Li, and Chao-Jiang Xu. "Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations." Universität Potsdam, 2007. http://opus.kobv.de/ubp/volltexte/2009/3028/.

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Hafez, Salah Taha. "Continued fractions and solutions of linear and non-linear lattice equations." Thesis, University of Kent, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236725.

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Torshage, Axel. "Linear Functional Equations and Convergence of Iterates." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-56450.

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The subject of this work is functional equations with direction towards linear functional equations. The .rst part describes function sets where iterates of the functions converge to a .xed point. In the second part the convergence property is used to provide solutions to linear functional equations by de.ning solutions as in.nite sums. Furthermore, this work contains some transforms to linear form, examples of functions that belong to di¤erent classes and corresponding linear functional equations. We use Mathematica to generate solutions and solve itera- tively equations.
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Grey, David John. "Parallel solution of power system linear equations." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/5429/.

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At the heart of many power system computations lies the solution of a large sparse set of linear equations. These equations arise from the modelling of the network and are the cause of a computational bottleneck in power system analysis applications. Efficient sequential techniques have been developed to solve these equations but the solution is still too slow for applications such as real-time dynamic simulation and on-line security analysis. Parallel computing techniques have been explored in the attempt to find faster solutions but the methods developed to date have not efficiently exploite
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Serna, Rodrigo. "Solving Linear Systems of Equations in Hardware." Thesis, KTH, Skolan för elektro- och systemteknik (EES), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-200610.

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Books on the topic "Linear equations"

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Kanwal, Ram P. Linear Integral Equations. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6012-1.

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Kress, Rainer. Linear Integral Equations. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-97146-4.

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Kress, Rainer. Linear Integral Equations. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0559-3.

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Kanwal, Ram P. Linear Integral Equations. Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-0765-8.

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Kress, Rainer. Linear Integral Equations. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9593-2.

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Lovitt, William Vernon. Linear integral equations. Dover Publications, 2005.

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Kress, Rainer. Linear Integral Equations. Springer New York, 1999.

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Kress, Rainer. Linear Integral Equations. Springer Berlin Heidelberg, 1989.

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Woodford, Chris. Solving linear and non-linear equations. Ellis Horwood, 1992.

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Woodford, Chris. Solving linear and non-linear equations. Ellis Horwood, 1992.

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Book chapters on the topic "Linear equations"

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Afriat, S. N. "Linear Equations." In Linear Dependence. Springer US, 2000. http://dx.doi.org/10.1007/978-1-4615-4273-5_7.

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Miyake, Toshitsune. "Linear Equations." In Linear Algebra. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-6994-1_2.

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Müller, P. C., and W. O. Schiehlen. "Matrix equations." In Linear vibrations. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5047-4_13.

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Stroud, K. A., and Dexter Booth. "Linear equations and simultaneous linear equations." In Foundation Mathematics. Macmillan Education UK, 2009. http://dx.doi.org/10.1057/978-0-230-36672-5_5.

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Kinzel, Wolfgang, and Georg Reents. "Linear Equations." In Physics by Computer. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-46839-1_3.

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Holden, K., and A. W. Pearson. "Linear Equations." In Introductory Mathematics for Economics and Business. Macmillan Education UK, 1992. http://dx.doi.org/10.1007/978-1-349-22357-2_1.

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Woodford, C., and C. Phillips. "Linear Equations." In Numerical Methods with Worked Examples: Matlab Edition. Springer Netherlands, 2012. http://dx.doi.org/10.1007/978-94-007-1366-6_2.

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Redfern, Darren, and Colin Campbell. "Linear Equations." In The Matlab® 5 Handbook. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-2170-8_3.

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Rao, A. Ramachandra, and P. Bhimasankaram. "Linear equations." In Texts and Readings in Mathematics. Hindustan Book Agency, 2000. http://dx.doi.org/10.1007/978-93-86279-01-9_6.

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Verhulst, Ferdinand. "Linear Equations." In Universitext. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61453-8_6.

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Conference papers on the topic "Linear equations"

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Medvid, Vladimir. "LINEAR DIOPHANTINE EQUATIONS ABOUT N UNKNOWNS." In 17th annual International Conference of Education, Research and Innovation. IATED, 2024. https://doi.org/10.21125/iceri.2024.0446.

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Bronstein, Manuel. "Linear ordinary differential equations." In Papers from the international symposium. ACM Press, 1992. http://dx.doi.org/10.1145/143242.143264.

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Zadrzyńska, Ewa, and Wojciech M. Zajączkowski. "Some linear parabolic system in Besov spaces." In Parabolic and Navier–Stokes equations. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-36.

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FREDET, A. "ALGORITHMS AROUND LINEAR DIFFERENTIAL EQUATIONS." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770752_0018.

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Berkenbosch, Maint. "Moduli spaces for linear differential equations." In The Conference on Differential Equations and the Stokes Phenomenon. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776549_0002.

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MIGUEL, JOSÉ J., ANDREI SHINDIAPIN, and ARCADY PONOSOV. "STABILITY AND LINEAR CHAIN TRICK." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0194.

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Guihong Wang, Haiyan Liu, and Xiangfeng Liu. "The application of excel in solving linear equations and nonlinear equation." In 2011 International Conference on Computer Science and Service System (CSSS). IEEE, 2011. http://dx.doi.org/10.1109/csss.2011.5974400.

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Čermák, Jan A. N. "The Schröder equation and asymptotic properties of linear delay differential equations." In The 7'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2003. http://dx.doi.org/10.14232/ejqtde.2003.6.6.

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Chochiev, T. Z. "On non-linear equation, generalizing the equations of the Riccati class." In General question of world science. "Л-Журнал", 2018. http://dx.doi.org/10.18411/gq-31-03-2018-01.

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Stevens, B. L. "Derivation of aircraft, linear state equations from implicit nonlinear equations." In 29th IEEE Conference on Decision and Control. IEEE, 1990. http://dx.doi.org/10.1109/cdc.1990.203642.

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Reports on the topic "Linear equations"

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Jain, Himanshu, Edmund M. Clarke, and Orna Grumberg. Efficient Craig Interpolation for Linear Diophantine (Dis)Equations and Linear Modular Equations. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada476801.

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Cohen, Herbert E. The Instability of Linear Heterogeneous Lanchester Equations. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada243519.

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Nirenberg, Louis. Techniques in Linear and Nonlinear Partial Differential Equations. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada187109.

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Rundell, William, and Michael S. Pilant. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada256012.

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Pilant, Michael S., and William Rundell. Undetermined Coefficient Problems for Quasi-Linear Parabolic Equations. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada218462.

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Subasi, Yigit. Quantum algorithms for linear systems of equations [Slides]. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1774402.

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Mathia, Karl. Solutions of linear equations and a class of nonlinear equations using recurrent neural networks. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.1354.

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Parzen, George. Linear Orbits Parameters for the Exact Equations of Motion. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/1119381.

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Chen, Goong, and Han-Kun Wang. Pointwise Stabilization for Coupled Quasilinear and Linear Wave Equations. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada190031.

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Herzog, K. J., M. D. Morris, and T. J. Mitchell. Bayesian approximation of solutions to linear ordinary differential equations. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6242347.

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