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1

Scholma, J. K. A Lie algebraic study of some integrable systems associated with root systems. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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2

Numerical methods for roots of polynomials. Amsterdam: Elsevier, 2007.

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3

Point estimation of root finding methods. [New York]: Springer, 2008.

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4

Completeness of root functions of regular differential operators. Essex, England: Longman Scientific & Technical, 1994.

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5

1948-, Teerikorpi Pekka, ed. The evolving universe and the origin of life: The search for our cosmic roots. New York, NY: Springer, 2009.

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6

Bardy, Nicole. Systèmes de racines infinis. [Paris, France]: Société mathématique de France, 1996.

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7

Young, J. R. 1799. Researches respecting the imaginary roots of numerical equations: Being a continuation of ... [Place of publication not identified]: Nabu Press, 2010.

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8

Young, George Paxton. Forms, necessary and sufficient, of the roots of pure uni-serial abelian equations. [Toronto?: s.n., 1993.

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9

Saylor, Paul E. Computing the roots of complex orthogonal and kernel polynomials. Urbana, Ill. (1304 West Springfield Ave., Urbana 61801): Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1986.

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10

Factors influencing hotel room supply and demand in Kenya: A simultaneous equations model. Nairobi, Kenya: Kenya Institute for Public Policy Research and Analysis, 2009.

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11

United States. National Aeronautics and Space Administration., ed. Final technical report on identification and control of structures in space: NASA research grant NAG-1-225 covering the period 1/31/92-8/15/93. Blacksburg, VA: Virginia Polytechnic Institute and State University, Dept. of Engineering Science and Mechanics, 1994.

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12

Zalzala, A. M. S. A distributed pipelined architecture of the recursive Lagrangian equations of motion for robot manipulators with VLSI implementation. Sheffield: University of Sheffield, Dept. of Control Engineering, 1989.

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13

Bluston, H. S. Algebraic applications of the Spectrum/Spectrum plus microcomputers: How to solve simultaneous equations, sum series numerically, obtain complex roots of quadratic equations, test random numbers, store alphabetical data. Bedford: Energy Consultancy, 1985.

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14

C, McInnis Bayliss, and United States. National Aeronautics and Space Administration, eds. Precise computer controlled positioning of robot end effectors using force sensors: Semi-annual status report. Houston, Tex: Dept. of Electrical Engineering, University of Houston, 1987.

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15

Voronin, Evgeniy, Aleksandr Chibunichev, and Yuriy Blohinov. Reliability of solving inverse problems of analytical photogrammetry. ru: INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/2010462.

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The monograph is devoted to computational aspects of photogrammetric reconstruction of narrow-angle bundles of projecting beams that existed during the survey. Methods of improving the conditionality of systems of linear equations, ensuring the convergence of iterative refinement of their roots, increasing the stability of calculations in finite precision machine arithmetic are considered. The main efforts are focused on solving the problem of establishing reliable measurement weights within the framework of the least squares method. The criteria for the reliability of the weights are determined. Algorithms have been developed for matching the initial values of the measurement weights, adjusting the weights during equalization, and identifying insignificant parameters of mathematical measurement models. A new method for evaluating the accuracy of the equalization results has been developed. For specialists engaged in the processing of remote sensing data of the Earth and mathematical processing of the results of heterogeneous measurements using weighted methods of statistical estimation of the parameters of functional dependencies.
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16

1957-, Gurvits Leonid, and Banff International Research Station for Mathematics Innovation & Discovery, eds. Randomization, relaxation, and complexity in polynomial equation solving: Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, February 28--March 5, 2010, Banff, Ontario [i.e. Alberta], Canada. Providence, R.I: American Mathematical Society, 2011.

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17

Ninul, Anatolij Sergeevič. Tensor Trigonometry. Moscow, Russia: Fizmatlit Publisher, 2021.

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18

Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Moscow, Russia: Mir Publisher, 2004.

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19

Vallely, Anne. Dying Heroically. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190656485.003.0010.

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Within the Jaina tradition, the ideal and most celebrated death is a voluntary, fully conscious fast which aims to “scratch out the body” for the sake of the soul. Called sallekhanā, the fast is understood to be the pinnacle of nonviolence, because it entails the complete eradication of the passions that are the root cause of violence. But above all, sallekhanā is understood by Jains to be heroic; it is the ultimate culmination of a courageous life dedicated to the soul’s emancipation from the cycle of birth and death. The equation of sallekhanā with heroism is an ancient one in the Jain imagination, and continues to govern the way in which the religious death is understood and practiced by Jains in the early twenty-first century. This chapter explores the central role that heroism plays within the ritual fast to death and, more fundamentally, within the Jain tradition.
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20

Park, Young Kou. On perturbation and location of roots of polynomials by Newton's interpolation formula. 1993.

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21

Legacies from the Living Room: A Love-Grief Equation. Outskirts Press, 2018.

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22

McNamee, J. M. Numerical Methods for Roots of Polynomials - Part I. Elsevier Science & Technology Books, 2007.

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23

McNamee, J. M. Numerical Methods for Roots of Polynomials - Part I (Studies in Computational Mathematics). Elsevier Science, 2007.

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24

Hoffman, Dale T. Solving Equations and Finding Roots: User's Manual/With Disk. Compress/Div of Wadsworth, 1988.

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25

Rasmussen, Peter, and Julie King. Key to Algebra Book 10 Square Roots and Quadratic Equations. Key Curriculum Press, 1990.

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26

McGraw-Hill. Algebra 2, Student Edition. Glencoe/McGraw-Hill, 2002.

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27

McGraw-Hill. Algebra 2, Student Edition. Glencoe/McGraw-Hill, 2006.

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28

McGraw-Hill. Algebra 2, Student Edition. 4th ed. Glencoe/McGraw-Hill, 1998.

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29

McGraw-Hill. Algebra 2, Student Edition. Glencoe/McGraw-Hill, 2002.

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30

McGraw-Hill. Algebra 2, Student Edition. Glencoe/McGraw-Hill, 1998.

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31

Williams, Kenneth R. Crowning Gem: One Vedic Master-Formula for Powers, Roots and Polynomial Equations. Learning Analytic Pte. Ltd., 2015.

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32

Benammar-Mahmoudi, Fatma. Prime-Mordial Equations with Absolute Values: Part I. the Rational and Irrational Square Root Of 2. Independently Published, 2021.

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33

McDuff, Dusa, and Dietmar Salamon. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198794899.003.0001.

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Symplectic topology has a long history. It has its roots in classical mechanics and geometric optics and in its modern guise has many connections to other fields of mathematics and theoretical physics ranging from dynamical systems, low-dimensional topology, algebraic and complex geometry, representation theory, and homological algebra, to classical and quantum mechanics, string theory, and mirror symmetry. One of the origins of the subject is the study of the equations of motion arising from the Euler–Lagrange equations of a one-dimensional variational problem. The Hamiltonian formalism arising from a Legendre transformation leads to the notion of a ...
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34

Young, George Paxton 1819-1889. Forms, Necessary and Sufficient, of the Roots of Pure Uni-Serial Abelian Equations [microform]. Creative Media Partners, LLC, 2021.

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35

Algebraic, Square. Cool Square Root Algebra Practice Problems Workbook: Emoji Solving Square Root Equations Add Subtract Divide Multiply Fractions Graphing Expressions Algebra 1 Worksheets Book with Grades Tracker Sheets Homeschool or Classroom. Independently Published, 2019.

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36

Nicholson J W (James William). Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations. Creative Media Partners, LLC, 2022.

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37

Nordgaard, Martin Andrew. Historical Survey of Algebraic Methods of Approximating the Roots of Numerical Higher Equations up to the Year 1819. Creative Media Partners, LLC, 2018.

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38

Hicken, Allen. Party Systems and the Politics of Development. Edited by Carol Lancaster and Nicolas van de Walle. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199845156.013.28.

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This article examines the correlation between economic development and the party system. More specifically, it considers the extent to which certain features of the party system should be included on the right-hand side of development regression equations, or whether the party system should be taken into account when selecting cases for a qualitative study of development. The chapter first outlines some necessary conditions for economic development, with particular emphasis on those conditions with roots in policy-making and actor agency. It then discusses three dimensions of the party system—the number of political parties, nationalization, and institutionalization—and whether they help shape the incentives and capabilities of policy-makers to adopt policies that promote development.
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39

Boudreau, Joseph F., and Eric S. Swanson. Numerical quadrature. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0005.

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This chapter discusses the numerous applications of numerical quadrature (integration) in classical mechanics, in semiclassical approaches to quantum mechanics, and in statistical mechanics; and then describes several ways of implementing integration in C++, for both proper and improper integrals. Various algorithms are described and analyzed, including simple classical quadrature algorithms as well as those enhanced with speedups and convergence tests. Classical orthogonal polynomials, whose properties are reviewed, are the basis of a sophisticated technique known as Gaussian integration. Practical implementations require the roots of these polynomials, so an algorithm for finding them from three-term recurrence relations is presented. On the computational side, the concept of polymorphism is introduced and exploited (prior to the detailed treatment later in the text). The nondimensionalization of physical problems, which is a common and important means of simplifying a problem, is discussed using Compton scattering and the Schrödinger equation as an example.
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40

Precise computer controlled positioning of robot end effectors using force sensors: Semi-annual status report. Houston, Tex: Dept. of Electrical Engineering, University of Houston, 1987.

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41

Misra, Udayon. Unresolved Issues of Partition Politics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199478361.003.0005.

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The concluding chapter takes up what it sees to be some of the major unresolved issues of Partition politics. While it tries to trace the roots of the violence centred around land in several areas of Assam, especially in the Bodo-inhabited region, it shows how issues such as the controversy over the cut-off year for immigrants to acquire citizenship are carry-overs from Partition days. Other major issues that are discussed include the status of Hindu refugees/displaced persons in the state, the National Register of Citizens, and the larger question of language and Assamese identity. It shows how with the new wave of immigrants being assimilated into the Assamese nationality, its transformation is underway and how this transformation itself throws up new challenges and equations.
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42

Halley, Edmond, and Isaac Newton. Universal Arithmetick: Or, a Treatise of Arithmetical Composition and Resolution. to Which Is Added, Dr. Halley's Method of Finding the Roots of Equations Arithmetically. Franklin Classics Trade Press, 2018.

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43

Halley, Edmond, and Isaac Newton. Universal Arithmetick: Or, a Treatise of Arithmetical Composition and Resolution. to Which Is Added, Dr. Halley's Method of Finding the Roots of Equations Arithmetically. Franklin Classics, 2018.

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44

Universal Arithmetick: Or, a Treatise of Arithmetical Composition and Resolution. to Which Is Added, Dr. Halley's Method of Finding the Roots of Equations Arithmetically. Creative Media Partners, LLC, 2022.

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45

Lighton, John R. B. Measuring Metabolic Rates. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198830399.001.0001.

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Measuring Metabolic Rates demystifies the field of metabolic rate measurement, explaining every common variation of the art, from century-old manometric methods through ingenious syringe-based techniques, direct calorimetry, aquatic respirometry, stable-isotope metabolic measurement, and every type of flow-through respirometry. Each variation is described in enough detail to allow it to be applied in practice. Special chapters are devoted to metabolic phenotyping and human metabolic measurement, including room calorimetry. Background information on different analyzer and equipment types allows users to choose the best instruments for their application. Respirometry equations—normally a topic of terror and confusion to researchers—are derived and described in enough detail to make their selection and use effortless. Tools and skills—many of them open source—that will amplify the innovative researcher’s capabilities are described. Vital topics such as manual and automated baselining, implementing multi-animal systems, common pitfalls, and the correct analysis and presentation of metabolic data are covered in enough detail to turn a respirometry neophyte into a hardened metabolic warrior, ready to take on the task of publication in peer-reviewed journals with confidence.
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46

Nordgaard, M. A. A Historical Survay of Algebraic Methods of Approximating the Roots of Numerical Higher Equations Up to the Year 1819 (Teachers College Contributions to Education No. 123). Ams Pr Inc, 1995.

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47

Mulmi, Amish Raj. All Roads Lead North. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780197645994.001.0001.

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During the June 2020 territorial dispute over Kalapani, India blamed tensions on a newly assertive Nepal’s deepening relations with China. But beyond the accusations and grandstanding, this reflects a new reality: the power equations in South Asia have been redrawn, to make space for China. Nepal did not turn northwards overnight. Its ties with China have deep historical roots built on Buddhism, dating to the early first millennium. While India’s unofficial 2015 blockade provided momentum to the rift with Delhi, Nepal has long wanted deeper ties with Beijing, to counteract India’s oppressive intimacy. With China’s growing South Asian and global ambitions, Nepal now has a new primary bilateral partner--and Nepalis are forging a path towards modernity with its help, both in the remote borderlands and in the cities. All Roads Lead North offers a long view of Nepal’s foreign relations, today underpinned by China’s world-power status. Sharing never-before-told stories about Tibetan guerrilla fighters, failed coup leaders and trans-Himalayan traders, Nepal analyst Amish Raj Mulmi examines the histories binding mountain communities together across the Sino-Nepali border. Part history, part journalistic account, Mulmi's is a complex, compelling and rigorously researched study of a small country caught between two neighbourhood giants.
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48

Series, Michigan Historical Reprint. Researches respecting the imaginary roots of numerical equations: Being a continuation of Newton's investigations on that subject, and forming an appendix ... of the higher orders." By J. R. Young. Scholarly Publishing Office, University of Michigan Library, 2005.

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49

Pesic, Peter. Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability. MIT Press, 2004.

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50

Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability. The MIT Press, 2004.

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