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## Sakai, Manabu

Compute Distance To:
 Author ID: sakai.manabu Published as: Sakai, Manabu; Sakai, M.; Sakai, Manuba
 Documents Indexed: 101 Publications since 1969
all top 5

#### Co-Authors

 37 single-authored 29 Usmani, Riaz A. 15 Habib, Zulfiqar 3 Kobayashi, Tatsuo 3 Nakai, Yuichiro 3 Suenaga, Katsuyuki 2 Ohki, Hiroshi 2 Schmidt, Jochen Wilhelm 2 Togashi, Akira 1 Abe, Hiroyuki 1 Ataki, M. 1 Choi, Kang-Sin 1 Dimulyo, Sarpono 1 García-Ferreira, Salvador 1 Ishikawa, Saneaki 1 Kamada, Kohei 1 López de Silanes, María Cruz 1 Maruyama, Ryosuke 1 Meek, Dereck S. 1 Murata, Masaki 1 Sanchis, Manuel 1 Shimauchi, Hiroyuki 1 Suenaga, Katsumasa 1 Yadohisa, Hiroshi
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#### Serials

 15 Reports of the Faculty of Science. Mathematics, Physics, and Chemistry 11 BIT 11 Memoirs of the Faculty of Science. Series A. Mathematics 8 RIMS Kokyuroku 6 Scientiae Mathematicae Japonicae 5 Journal of Approximation Theory 5 Proceedings of the Japan Academy. Series A 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 International Journal of Computer Mathematics 4 Computer Aided Geometric Design 3 Computing 3 Numerische Mathematik 2 Reports of the Faculty of Science. Kagoshima University 2 Journal of High Energy Physics 2 Progress of Theoretical Physics 1 International Journal of Modern Physics A 1 Houston Journal of Mathematics 1 Journal of Mathematical and Physical Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematica Japonica 1 Acta Mathematica Hungarica 1 Numerical Algorithms 1 Mathematical Modelling and Analysis 1 Numerical Mathematics: Theory, Methods and Applications
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#### Fields

 72 Numerical analysis (65-XX) 42 Approximations and expansions (41-XX) 25 Ordinary differential equations (34-XX) 7 Computer science (68-XX) 5 Quantum theory (81-XX) 3 Relativity and gravitational theory (83-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

55 Publications have been cited 269 times in 168 Documents Cited by Year
$$G^2$$ Pythagorean hodograph quintic transition between two circles with shape control. Zbl 1171.65335
Habib, Zulfiqar; Sakai, Manabu
2007
A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems. Zbl 0676.65088
Sakai, Manabu; Usmani, Riaz A.
1989
Positive interpolation with rational splines. Zbl 0676.65009
Sakai, M.; Schmidt, Jochen W.
1989
Inflection points and singularities on planar rational cubic curve segments. Zbl 0914.68195
Sakai, M.
1999
Transition between concentric or tangent circles with a single segment of $$G^2$$ PH quintic curve. Zbl 1172.65313
Habib, Zulfiqar; Sakai, Manabu
2008
A shape preserving area true approximation of histogram by rational splines. Zbl 0643.65005
Sakai, Manabu; Usmani, Riaz A.
1988
On exponential splines. Zbl 0603.41007
Sakai, Manabu; Usmani, Riaz A.
1986
Non polynomial splines and weakly singular two-point boundary value problems. Zbl 0665.65067
Sakai, M.; Usmani, Riaz A.
1988
Piecewise cubic interpolation and two-point boundary value problems. Zbl 0236.65054
Sakai, Manabu
1971
A note on quadratic spline interpolation at mid-points. Zbl 0522.41008
Usmani, Riaz A.; Sakai, Manabu
1982
$$G^2$$ PH quintic spiral transition curves and their applications. Zbl 1072.65018
Habib, Zulfiqar; Sakai, Manabu
2005
A simple rational spline and its application to monotonic interpolation to monotonic data. Zbl 0632.65006
Sakai, Manabu; López de Silanes, M. C.
1986
Quadratic spline and two-point boundary value problem. Zbl 0511.65059
Sakai, Manabu; Usmani, Riaz A.
1983
A connection between quartic spline solution and Numerov solution of a boundary value problem. Zbl 0676.65087
Usmani, Riaz A.; Sakai, Manabu
1989
Numerical solution of boundary value problems for second order functional differential equations by the use of cubic splines. Zbl 0318.65039
Sakai, Manabu
1975
On consistency relations for cubic splines-on-splines and asymptotic error estimates. Zbl 0573.41022
Sakai, Manabu; Usmani, Riaz A.
1985
Quartic spline solutions for two-point boundary problems involving third order differential equations. Zbl 0583.65052
Usmani, Riaz A.; Sakai, Manabu
1984
Spiral transition curves and their applications. Zbl 1074.65019
Habib, Zulfiqar; Sakai, Manabu
2005
The Ramsey property for $$C_p(X)$$. Zbl 1224.54012
Sakai, M.
2010
$$G^2$$ cubic transition between two circles with shape control. Zbl 1156.65014
Habib, Zulfiqar; Sakai, Manabu
2009
An application of Chawla’s identity to a difference scheme for singular problems. Zbl 0705.65059
Sakai, Manabu; Usmani, Riaz A.
1990
On spline-on-spline numerical integration formula. Zbl 0687.41014
Sakai, Manabu; Usami, Riaz A.
1989
On orders of approximation of plane curves by parametric cubic splines. Zbl 0719.65009
Sakai, Manabu; Usmani, Riaz A.
1990
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem. Zbl 0637.65081
Usmani, Riaz A.; Sakai, Manabu
1987
Three-generation models from $$E_{8}$$ magnetized extra dimensional theory. Zbl 1287.81124
Kobayashi, Tatsuo; Maruyama, Ryosuke; Murata, Masaki; Ohki, Hiroshi; Sakai, Manabu
2010
Osculatory interpolation. Zbl 0983.68222
Sakai, M.
2001
$$G^2$$ planar cubic transition between two circles. Zbl 1042.65018
Habib, Zulfiqar; Sakai, Manabu
2003
Spline solutions for nonlinear fourth-order two-point boundary value problems. Zbl 0508.65038
Sakai, M.; Usmani, R.
1983
Fairing arc spline and designing by using cubic Bézier spiral segments. Zbl 1242.65032
Habib, Zulhqar; Sakai, Manabu
2012
$$G^2$$ two-point Hermite rational cubic interpolation. Zbl 1031.41009
Habib, Z.; Sakai, M.
2002
Fair cubic transition between two circles with one circle inside or tangent to the other. Zbl 1173.65007
Dimulyo, Sarpono; Habib, Zulfiqar; Sakai, Manabu
2009
Non-Abelian discrete flavor symmetries on orbifolds. Zbl 1247.81334
Abe, Hiroyuki; Choi, Kang-Sin; Kobayashi, Tatsuo; Ohki, Hiroshi; Sakai, Manabu
2011
Some new linear relations for odd degree polynomial splines at mid- points. Zbl 0518.41006
Sakai, Manabu
1983
On consistency relations for polynomial splines at mesh and mid points. Zbl 0523.41006
Sakai, Manabu
1983
Cubic spline function and difference method. Zbl 0341.65062
Sakai, Manabu
1974
Two-sided quintic spline approximations for two-point boundary value problems. Zbl 0434.65062
Sakai, Manabu
1977
Spline interpolation and two-sided approximate methods for two-point boundary value problems. Zbl 0434.65063
Sakai, Manabu
1978
Fairing an arc spline and designing with $$G^2$$ PH quintic spiral transitions. Zbl 1277.65011
Habib, Zulfiqar; Sakai, Manabu
2013
Some new consistency relations connecting spline values at mesh and mid points. Zbl 0573.41024
Sakai, Manabu
1983
Spline interpolation and two-point boundary value problems. Zbl 0201.07801
Sakai, M.
1970
On recursion relations for splines. Zbl 0749.41015
Sakai, Manabu; Usmani, Riaz A.
1991
Two-sided spline approximate methods for two point boundary value problems. Zbl 0463.65061
Sakai, Manabu
1980
Some new consistency relations connecting spline values and integrals of the spline. Zbl 0518.41005
Sakai, Manabu; Usmani, Riaz A.
1983
Asymptotic error estimation for spline-on-spline interpolation. Zbl 0525.41009
Sakai, Manabu; Usmani, Riaz A.
1983
A shape-preserving area-true approximation of histogram. Zbl 0682.65002
Ataki, M.; Sakai, Manabu
1988
Numerical integration formulas based on iterated cubic splines. Zbl 0806.65015
Sakai, M.; Usmani, R. A.
1994
Shape preserving approximation by rational splines. Zbl 0835.41012
Sakai, Manabu; Usmani, Raiz A.
1993
(Extra)ordinary gauge/anomaly mediation. Zbl 1298.81479
Kobayashi, Tatsuo; Nakai, Yuichiro; Sakai, Manabu
2011
A posteriori improvement of cubic spline approximate solution of two- point boundary value problem. Zbl 0554.65057
Sakai, Manabu
1984
Quadratic and T-cubic spline approximations to a planar spiral. Zbl 1019.65017
Habib, Zulfiqar; Sakai, Manabu
2003
Shapes of planar cubic curves. Zbl 1047.65008
Habib, Zulfiqar; Sakai, Manabu
2004
A recursion relation for simple rational B-splines. Zbl 0661.65007
Sakai, Manabu; Usmani, Riaz A.
1987
Asymptotic error estimates for quintic spline-on-spline interpolation. Zbl 0663.41015
Sakai, Manabu
1985
On approximate solutions of nonlinear integral equations by Chebyshev series. Zbl 0224.45003
Sakai, Manabu; Ishikawa, Saneaki
1971
Cubic spiral transition matching $$G^2$$ Hermite end conditions. Zbl 1265.65021
Habid, Zulfiqar; Sakai, Manabu
2011
Fairing an arc spline and designing with $$G^2$$ PH quintic spiral transitions. Zbl 1277.65011
Habib, Zulfiqar; Sakai, Manabu
2013
Fairing arc spline and designing by using cubic Bézier spiral segments. Zbl 1242.65032
Habib, Zulhqar; Sakai, Manabu
2012
Non-Abelian discrete flavor symmetries on orbifolds. Zbl 1247.81334
Abe, Hiroyuki; Choi, Kang-Sin; Kobayashi, Tatsuo; Ohki, Hiroshi; Sakai, Manabu
2011
(Extra)ordinary gauge/anomaly mediation. Zbl 1298.81479
Kobayashi, Tatsuo; Nakai, Yuichiro; Sakai, Manabu
2011
Cubic spiral transition matching $$G^2$$ Hermite end conditions. Zbl 1265.65021
Habid, Zulfiqar; Sakai, Manabu
2011
The Ramsey property for $$C_p(X)$$. Zbl 1224.54012
Sakai, M.
2010
Three-generation models from $$E_{8}$$ magnetized extra dimensional theory. Zbl 1287.81124
Kobayashi, Tatsuo; Maruyama, Ryosuke; Murata, Masaki; Ohki, Hiroshi; Sakai, Manabu
2010
$$G^2$$ cubic transition between two circles with shape control. Zbl 1156.65014
Habib, Zulfiqar; Sakai, Manabu
2009
Fair cubic transition between two circles with one circle inside or tangent to the other. Zbl 1173.65007
Dimulyo, Sarpono; Habib, Zulfiqar; Sakai, Manabu
2009
Transition between concentric or tangent circles with a single segment of $$G^2$$ PH quintic curve. Zbl 1172.65313
Habib, Zulfiqar; Sakai, Manabu
2008
$$G^2$$ Pythagorean hodograph quintic transition between two circles with shape control. Zbl 1171.65335
Habib, Zulfiqar; Sakai, Manabu
2007
$$G^2$$ PH quintic spiral transition curves and their applications. Zbl 1072.65018
Habib, Zulfiqar; Sakai, Manabu
2005
Spiral transition curves and their applications. Zbl 1074.65019
Habib, Zulfiqar; Sakai, Manabu
2005
Shapes of planar cubic curves. Zbl 1047.65008
Habib, Zulfiqar; Sakai, Manabu
2004
$$G^2$$ planar cubic transition between two circles. Zbl 1042.65018
Habib, Zulfiqar; Sakai, Manabu
2003
Quadratic and T-cubic spline approximations to a planar spiral. Zbl 1019.65017
Habib, Zulfiqar; Sakai, Manabu
2003
$$G^2$$ two-point Hermite rational cubic interpolation. Zbl 1031.41009
Habib, Z.; Sakai, M.
2002
Osculatory interpolation. Zbl 0983.68222
Sakai, M.
2001
Inflection points and singularities on planar rational cubic curve segments. Zbl 0914.68195
Sakai, M.
1999
Numerical integration formulas based on iterated cubic splines. Zbl 0806.65015
Sakai, M.; Usmani, R. A.
1994
Shape preserving approximation by rational splines. Zbl 0835.41012
Sakai, Manabu; Usmani, Raiz A.
1993
On recursion relations for splines. Zbl 0749.41015
Sakai, Manabu; Usmani, Riaz A.
1991
An application of Chawla’s identity to a difference scheme for singular problems. Zbl 0705.65059
Sakai, Manabu; Usmani, Riaz A.
1990
On orders of approximation of plane curves by parametric cubic splines. Zbl 0719.65009
Sakai, Manabu; Usmani, Riaz A.
1990
A class of simple exponential B-splines and their application to numerical solution to singular perturbation problems. Zbl 0676.65088
Sakai, Manabu; Usmani, Riaz A.
1989
Positive interpolation with rational splines. Zbl 0676.65009
Sakai, M.; Schmidt, Jochen W.
1989
A connection between quartic spline solution and Numerov solution of a boundary value problem. Zbl 0676.65087
Usmani, Riaz A.; Sakai, Manabu
1989
On spline-on-spline numerical integration formula. Zbl 0687.41014
Sakai, Manabu; Usami, Riaz A.
1989
A shape preserving area true approximation of histogram by rational splines. Zbl 0643.65005
Sakai, Manabu; Usmani, Riaz A.
1988
Non polynomial splines and weakly singular two-point boundary value problems. Zbl 0665.65067
Sakai, M.; Usmani, Riaz A.
1988
A shape-preserving area-true approximation of histogram. Zbl 0682.65002
Ataki, M.; Sakai, Manabu
1988
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem. Zbl 0637.65081
Usmani, Riaz A.; Sakai, Manabu
1987
A recursion relation for simple rational B-splines. Zbl 0661.65007
Sakai, Manabu; Usmani, Riaz A.
1987
On exponential splines. Zbl 0603.41007
Sakai, Manabu; Usmani, Riaz A.
1986
A simple rational spline and its application to monotonic interpolation to monotonic data. Zbl 0632.65006
Sakai, Manabu; López de Silanes, M. C.
1986
On consistency relations for cubic splines-on-splines and asymptotic error estimates. Zbl 0573.41022
Sakai, Manabu; Usmani, Riaz A.
1985
Asymptotic error estimates for quintic spline-on-spline interpolation. Zbl 0663.41015
Sakai, Manabu
1985
Quartic spline solutions for two-point boundary problems involving third order differential equations. Zbl 0583.65052
Usmani, Riaz A.; Sakai, Manabu
1984
A posteriori improvement of cubic spline approximate solution of two- point boundary value problem. Zbl 0554.65057
Sakai, Manabu
1984
Quadratic spline and two-point boundary value problem. Zbl 0511.65059
Sakai, Manabu; Usmani, Riaz A.
1983
Spline solutions for nonlinear fourth-order two-point boundary value problems. Zbl 0508.65038
Sakai, M.; Usmani, R.
1983
Some new linear relations for odd degree polynomial splines at mid- points. Zbl 0518.41006
Sakai, Manabu
1983
On consistency relations for polynomial splines at mesh and mid points. Zbl 0523.41006
Sakai, Manabu
1983
Some new consistency relations connecting spline values at mesh and mid points. Zbl 0573.41024
Sakai, Manabu
1983
Some new consistency relations connecting spline values and integrals of the spline. Zbl 0518.41005
Sakai, Manabu; Usmani, Riaz A.
1983
Asymptotic error estimation for spline-on-spline interpolation. Zbl 0525.41009
Sakai, Manabu; Usmani, Riaz A.
1983
A note on quadratic spline interpolation at mid-points. Zbl 0522.41008
Usmani, Riaz A.; Sakai, Manabu
1982
Two-sided spline approximate methods for two point boundary value problems. Zbl 0463.65061
Sakai, Manabu
1980
Spline interpolation and two-sided approximate methods for two-point boundary value problems. Zbl 0434.65063
Sakai, Manabu
1978
Two-sided quintic spline approximations for two-point boundary value problems. Zbl 0434.65062
Sakai, Manabu
1977
Numerical solution of boundary value problems for second order functional differential equations by the use of cubic splines. Zbl 0318.65039
Sakai, Manabu
1975
Cubic spline function and difference method. Zbl 0341.65062
Sakai, Manabu
1974
Piecewise cubic interpolation and two-point boundary value problems. Zbl 0236.65054
Sakai, Manabu
1971
On approximate solutions of nonlinear integral equations by Chebyshev series. Zbl 0224.45003
Sakai, Manabu; Ishikawa, Saneaki
1971
Spline interpolation and two-point boundary value problems. Zbl 0201.07801
Sakai, M.
1970
all top 5

#### Cited by 186 Authors

 24 Sakai, Manabu 18 Usmani, Riaz A. 10 Kadalbajoo, Mohan K. 7 Wang, Guozhao 6 Farouki, Rida T. 6 Habib, Zulfiqar 6 Singh, Arvind Kumar 5 Behforooz, G. Hossein 5 Kobayashi, Tatsuo 5 Oja, Peeter 5 Patidar, Kailash C. 4 Al-Said, Eisa A. 3 Akram, Ghazala 3 Aziz, Tariq 3 Deng, Chongyang 3 Kim, Gwang Il 3 Lee, Hyun Chol 3 Meek, Dereck S. 3 Schmidt, Jochen Wilhelm 3 Siddiqi, Shahid Saeed 3 Tirmizi, Ikram A. 3 Walton, Desmond J. 2 Abe, Tomohiro 2 Arora, Puneet 2 Bica, Alexandru Mihai 2 Chen, Fengmin 2 Ersoy, Ozlem 2 Evans, David John 2 Fischer, Malle 2 Fujimoto, Yukihiro 2 Ghasemi, Mohamad 2 Gupta, Vikas 2 Hallik, Helle 2 Hussain, Malik Zawwar 2 Jalilian, Reza 2 Juhász, Imre 2 Kong, Jae-Hoon 2 Mishra, Hemant Kumar 2 Miura, Takashi 2 Mohanty, Ranjan Kumar 2 Nishiwaki, Kenji 2 Pelosi, Francesca 2 Rashidinia, Jalil 2 Sakamoto, Makoto 2 Sarfraz, Muhammad 2 Siraj-ul-Islam 2 Taiwo, O. Adebayo 2 Twizell, E. H. 2 Wong, Patricia J. Y. 2 Zheng, Zhihao 1 Abe, Hiroyuki 1 Adar, Nihat 1 Aggarwal, Vivek K. 1 Ahlberg, J. H. 1 Ahn, Young Joon 1 Ait-Haddou, Rachid 1 Albrecht, Gudrun 1 Ali, Muhammad Arfan 1 Awasthi, Ashish 1 Bartoszewski, Zbigniew 1 Barzanti, Luca 1 Berasaluce-González, Mikel 1 Bertolazzi, Enrico 1 Beye, Florian 1 Bhatta, Sukanta Kumar 1 Biard, Luc 1 Boutayeb, Abdesslam 1 Buchmüller, Wilfried 1 Cai, Huahui 1 Cámara, Pablo G. 1 Cao, Juan 1 Chavanasporn, Walailuck 1 Chen, Falai 1 Chetouani, Abdelaziz 1 Chi, Chun-Mei 1 Christara, Christina C. 1 Christensen, Ole 1 Christiansen, Lasse Hjuler 1 Clavero, Carmelo 1 Clements, John C. 1 Corradi, Corrado 1 Costantini, Paolo Giuseppe 1 Cripps, Robert J. 1 Cross, Benjamin 1 Curila, Mircea 1 Curila, Sorin 1 Dağ, Idiris 1 Dağ, İdris 1 Degen, Wendelin L. F. 1 Dierigl, Markus 1 Dimulyo, Sarpono 1 Dong, Bohan 1 Dubeau, François 1 Dudas, Emilian 1 Elahi, Arfa 1 Elgindi, M. B. M. 1 Ewald, Christian-Oliver 1 Fang, Lincong 1 Frego, Marco 1 Fu, Kaixin ...and 86 more Authors
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#### Cited in 48 Serials

 23 Journal of Computational and Applied Mathematics 19 International Journal of Computer Mathematics 17 Applied Mathematics and Computation 17 Computer Aided Geometric Design 10 BIT 5 Computers & Mathematics with Applications 5 Computing 5 Journal of High Energy Physics 4 Numerische Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Advances in Computational Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Approximation Theory 3 Proceedings of the Japan Academy. Series A 3 Journal of Zhejiang University. Science A 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Journal of Soviet Mathematics 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Computational Mathematics and Modeling 2 Numerical Algorithms 2 Applied Mathematics. Series B (English Edition) 2 Advances in Numerical Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 ACM Transactions on Mathematical Software 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 1 Insurance Mathematics & Economics 1 Journal of Symbolic Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Economics 1 Communications in Numerical Methods in Engineering 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Mathematical Modelling and Analysis 1 Science in China. Series F 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Journal of Linear and Topological Algebra 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Cited in 25 Fields

 135 Numerical analysis (65-XX) 55 Ordinary differential equations (34-XX) 42 Approximations and expansions (41-XX) 12 Computer science (68-XX) 10 Partial differential equations (35-XX) 7 Quantum theory (81-XX) 4 Algebraic geometry (14-XX) 3 Mechanics of deformable solids (74-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)