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1. Taming the unknown
: history of algebra from antiquity to the early twentieth century
by Katz, Victor J and Parshall, Karen Hunger, 1955
2014, ISBN 9780691149059, xiii, 485
What is algebra? For some, it is an abstract language of x's and y's. For mathematics majors and professional mathematicians, it is a world of axiomatically... 
History | Algebra | Mathematics | General | History & Philosophy | MATHEMATICS
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2. Full Text CO2 emissions, energy consumption and economic growth nexus in MENA countries: Evidence from simultaneous equations models
by Omri, Anis
Energy Economics, ISSN 0140-9883, 11/2013, Volume 40, pp. 657 - 664
This paper examines the nexus between CO2 emissions, energy consumption and economic growth using simultaneous-equations models with panel data of 14 MENA... 
Carbon dioxide emissions | Energy consumption | Economic growth | FINANCIAL DEVELOPMENT | CHINA | CAUSALITY | ENVIRONMENTAL KUZNETS CURVE | POLLUTANT EMISSIONS | CARBON EMISSIONS | COINTEGRATION | INCOME | UNIT-ROOT | TIME-SERIES | ECONOMICS | Economics | Simultaneous equations | Bidirectional | Carbon dioxide | Energy policy | Empirical analysis | Recognition
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3. Full Text Identification and Estimation of Triangular Simultaneous Equations Models without Additivity
by Guido W. Imbens and Whitney K. Newey
Econometrica, ISSN 0012-9682, 9/2009, Volume 77, Issue 5, pp. 1481 - 1512
This paper uses control variables to indentify and estimate models with nonseparable, multidimensional disturbances. Triangular simultaneous equations models... 
Economic models | Simultaneous equations | Density estimation | Cumulative distribution functions | Economic theory | Scalars | Instrumental variables estimation | Nonparametric models | Control variables | Estimators | control variables | demand analysis | average derivative | nonparametric estimation | Nonseparable models | bounds | policy effect | quantile effects | Quantile effects | Demand analysis | Bounds | Average derivative | Nonparametric estimation | Policy effect | ENDOGENOUS REGRESSORS | STATISTICS & PROBABILITY | QUANTILE REGRESSION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | NONPARAMETRIC-ESTIMATION | COEFFICIENTS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | INSTRUMENTAL VARIABLES ESTIMATORS
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4. Full Text Simultaneous Pell equations
by Sihabudin, N. A and Sapar, S. H and Johari, M. A. M
AIP Conference Proceedings, ISSN 0094-243X, 06/2016, Volume 1750, Issue 1
This paper will discuss the solutions on the simultaneous Pell equations x 2 − my 2 = 1 and y 2 − 11z 2 = 1 where m is square free. By looking at the pattern... 
Diophantine equations | simultaneous Pell equations | parity | Simultaneous equations | Mathematical analysis
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5. Linear equations
by Cohn, P. M. (Paul Moritz)
1962, Library of mathematics, 75
Equations, Simultaneous | Vector analysis | Matrices
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6. Linear equations
by Cohn, P. M. (Paul Moritz)
1964, Library of mathematics, viii, 75 p. illus.
Equations, Simultaneous | Vector analysis | Matrices
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7. Full Text Adjusting for Selection Bias in Longitudinal Analyses Using Simultaneous Equations Modeling: The Relationship Between Employment Transitions and Mental Health
by Fiona Steele and Robert French and Mel Bartley
Epidemiology, ISSN 1044-3983, 9/2013, Volume 24, Issue 5, pp. 703 - 711
Background: Effects of labor force participation on mental health can be difficult to discern due to the possibility of selection bias. Previous research... 
Economic models | Simultaneous equations | Employment | Economic transitions | Mental health | Scope of employment | Selection bias | Cognitive models | Unemployment | Disease risks | Methods | PUBLIC, ENVIRONMENTAL & OCCUPATIONAL HEALTH | TIME | UNEMPLOYMENT | Employment - statistics & numerical data | Models, Theoretical | Unemployment - psychology | Humans | Longitudinal Studies - methods | Middle Aged | Male | United Kingdom | Young Adult | Health Surveys | Unemployment - statistics & numerical data | Adolescent | Selection Bias | Adult | Employment - psychology | Mental Health - statistics & numerical data
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8. Linear equations
by Cohn, P. M. (Paul Moritz)
1958, Library of mathematics, 75
Equations, Simultaneous | Vector analysis | Matrices
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9. Full Text Blow-up analyses in reaction–diffusion equations with nonlinear nonlocal boundary flux
by Liu, Bingchen and Lin, Hongyan and Li, Fengjie and Wang, Xiangyu
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 8/2019, Volume 70, Issue 4, pp. 1 - 27
In this paper, we study a reaction–diffusion system involving coupled sources and nonlinear nonlocal boundary flux. By using the comparison principle, we give... 
Engineering | Mathematical Methods in Physics | Reaction–diffusion equations | Blow-up time | 35B33 | Nonlinear nonlocal boundary flux | 35K15 | Non-simultaneous blow-up | 35B40 | Theoretical and Applied Mechanics | Blow-up rate | 35K55 | SYSTEM | MATHEMATICS, APPLIED | Reaction-diffusion equations
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10. Full Text Generalized biomass equations for Stone pine (Pinus pinea L.) across the Mediterranean basin
by Correia, A.C and Faias, S.P and Ruiz-Peinado, R and Chianucci, F and Cutini, A and Fontes, L and Manetti, M.C and Montero, G and Soares, P and Tomé, M
Forest Ecology and Management, ISSN 0378-1127, 12/2018, Volume 429, pp. 425 - 436
•Pinus pinea is economically important in the Mediterranean basin.•Above and belowground biomass equations were developed with 283 harvested trees.•Accuracy of... 
Root biomass | Simultaneous fitting | Carbon estimation | Residual analysis | Allometry | Mixed models | Aboveground biomass | PATTERNS | FOREST BIOMASS | ALLOMETRIC EQUATIONS | ALLOCATION | HEIGHT | STAND | MODELS | GROWTH | TREE | FORESTRY | Sustainable forestry | Forest management | Analysis
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11. Full Text Instrumental-Variables Simultaneous Equations Model of Physical Activity and Body Mass Index: The Coronary Artery Risk Development in Young Adults (CARDIA) Study
by Meyer, Katie A and Guilkey, David K and Tien, Hsiao-Chuen and Kiefe, Catarina I and Popkin, Barry M and Gordon-Larsen, Penny
American Journal of Epidemiology, ISSN 0002-9262, 09/2016, Volume 184, Issue 6, pp. 465 - 476
We used full-system-estimation instrumental-variables simultaneous equations modeling (IV-SEM) to examine physical activity relative to body mass index (BMI;... 
epidemiologic methods | instrumental variables | semiparametric methods | body mass index | fixed effects | simultaneous equations | endogeneity | health behaviors | Smoking - adverse effects | Residence Characteristics | Risk Assessment - methods | Coronary Vessels - physiopathology | Humans | Male | Protective Factors | Young Adult | Likelihood Functions | Exercise | Multicenter Studies as Topic | Adult | Female | Health Behavior - physiology | Body Mass Index | Coronary Vessels - pathology | Coronary Artery Disease - etiology | Fast Foods - adverse effects | Coronary Artery Disease - prevention & control | Marital Status | Alcohol Drinking - adverse effects | Models, Biological | Adolescent | Least-Squares Analysis | Reproductive History | Longitudinal Studies | Body mass index | Adults | Health aspects | Analysis | Practice of Epidemiology
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12. Full Text Structure-Preserving Algorithms for Oscillatory Differential Equations
by Wu, Xinyuan and Wang, Bin and You, Xiong
2013, 1. Aufl., ISBN 9783642353376, Volume 9783642353383, 242
Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving... 
Physics | Differential equations, Nonlinear | Numerical solutions | Mathematics
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13. Full Text Conservative and entropy stable solid wall boundary conditions for the compressible Navier–Stokes equations: Adiabatic wall and heat entropy transfer
by Dalcin, Lisandro and Rojas, Diego and Zampini, Stefano and Del Rey Fernández, David C and Carpenter, Mark H and Parsani, Matteo
Journal of Computational Physics, ISSN 0021-9991, 11/2019, Volume 397, p. 108775
We present a novel technique for the imposition of non-linear entropy conservative and entropy stable solid wall boundary conditions for the compressible... 
Compressible Navier–Stokes equations | Entropy conservation | Summation-by-parts operators | Entropy stability | Simultaneous-approximation-terms | Solid wall | STABILITY | DIFFERENCE-SCHEMES | WAKE | PHYSICS, MATHEMATICAL | FLOW | TRANSITION | LAWS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CIRCULAR-CYLINDER | DYNAMICS | SYSTEMS | EULER | Compressible Navier-Stokes equations | Supersonic flow | Operators | Compressibility | Approximation | Computational fluid dynamics | Computer simulation | Fluid flow | Boundary conditions | Entropy | Imposition | Adiabatic flow | Three dimensional flow | Robustness (mathematics) | Method of lines | Galerkin method | Unstructured grids (mathematics) | Dimensional stability | Navier-Stokes equations | Finite difference method
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14. Full Text A stable high-order finite difference scheme for the compressible Navier–Stokes equations, far-field boundary conditions
by Svärd, Magnus and Carpenter, Mark H and Nordström, Jan
Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 225, Issue 1, pp. 1020 - 1038
We construct a stable high-order finite difference scheme for the compressible Navier–Stokes equations, that satisfy an energy estimate. The equations are... 
High-order finite difference methods | Accuracy | Stability | Simultaneous approximation terms | Compressible Navier–Stokes equations | Boundary conditions | Summation-by-Parts | Well-posedness | Compressible Navier-Stokes equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | compressible Navier-Stokes equations | high-order finite difference methods | accuracy | summation-by-parts | simultaneous approximation terms | PHYSICS, MATHEMATICAL | boundary conditions | stability | wellposedness
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15. Full Text A system of quaternary coupled Sylvester-type real quaternion matrix equations
by He, Zhuo-Heng and Wang, Qing-Wen and Zhang, Yang
Automatica, ISSN 0005-1098, 01/2018, Volume 87, pp. 25 - 31
In this paper we establish some necessary and sufficient solvability conditions for a system of quaternary coupled Sylvester-type real quaternion matrix... 
Rank | Moore–Penrose inverse | Quaternion | Solvability | Sylvester-type equations | Solution | ROTHS SOLVABILITY CRITERIA | CONSISTENCY | Moore-Penrose inverse | AUTOMATION & CONTROL SYSTEMS | SIMULTANEOUS DECOMPOSITION | ENGINEERING, ELECTRICAL & ELECTRONIC
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16. Full Text Random Coefficients on Endogenous Variables in Simultaneous Equations Models
by Masten, Matthew A
The Review of Economic Studies, ISSN 0034-6527, 04/2018, Volume 85, Issue 2, pp. 1193 - 1250
Abstract This article considers a classical linear simultaneous equations model with random coefficients on the endogenous variables. Simultaneous equations... 
Instrumental variables | Social interactions | Random coefficients | Non-parametric identification | Simultaneous equations models | REGRESSION | IDENTIFICATION | NONSEPARABLE MODELS | DISTRIBUTIONS | DEMAND | NONPARAMETRIC-ESTIMATION | LEAST-SQUARES ESTIMATION | ECONOMICS | PANEL-DATA MODELS | SOCIAL NETWORKS | MULTIPLE EQUILIBRIA
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17. Full Text Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
by Del Rey Fernández, David C and Hicken, Jason E and Zingg, David W
Computers and Fluids, ISSN 0045-7930, 05/2014, Volume 95, pp. 171 - 196
•History of SBP operators and SATs, with a focus on the Navier–Stokes (NS) equations.•Methodology for deriving SBP operators for 1st and 2nd... 
Summation-by-parts operators | Simultaneous approximation terms | Numerical boundary schemes | Stability | Higher-order methods | Finite-difference methods | Boundary closures | Energy-method | NONLINEAR CONSERVATION-LAWS | ARTIFICIAL DISSIPATION | ORDER FINITE-DIFFERENCE | WALL BOUNDARY-CONDITIONS | CONJUGATE HEAT-TRANSFER | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | NAVIER-STOKES EQUATIONS | VARIABLE-COEFFICIENTS | GENERALIZED FRAMEWORK | DISCONTINUOUS GALERKIN METHODS | WAVE-PROPAGATION | Differential equations | Operators | Partial differential equations | Mathematical analysis | Mathematical models | Derivatives | Boundaries | Navier-Stokes equations | Quadratures
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