# zbMATH — the first resource for mathematics

## Zhao, Wei

Compute Distance To:
 Author ID: zhao.wei.3 Published as: Zhao, W.; Zhao, Wei
 Documents Indexed: 144 Publications since 1990, including 1 Book

#### Co-Authors

 0 single-authored 7 Shen, Yibing 3 Yuan, Lixia
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#### Serials

 2 Journal of Mathematical Analysis and Applications 2 Differential Geometry and its Applications 1 Canadian Journal of Mathematics 1 Publicationes Mathematicae 1 International Journal of Mathematics 1 Science China. Mathematics
all top 5

#### Fields

 8 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

44 Publications have been cited 168 times in 157 Documents Cited by Year
Effects of trailing jet instability on vortex ring formation. Zbl 1149.76598
Zhao, Wei; Frankel, Steven H.; Mongeau, Luc G.
2000
Optimal two-period repeated measurements designs. Zbl 0714.62067
Hedayat, A.; Zhao, W.
1990
Convergence analysis of the Bregman method for the variational model of image denoising. Zbl 1194.68251
Jia, Rong-Qing; Zhao, Hanqing; Zhao, Wei
2009
Riesz bases of wavelets and applications to numerical solutions of elliptic equations. Zbl 1248.42031
Jia, Rong-Qing; Zhao, Wei
2011
A universal volume comparison theorem for Finsler manifolds and related results. Zbl 1327.53027
Zhao, Wei; Shen, Yibing
2013
Yang-Mills condensate dark energy coupled with matter and radiation. Zbl 1126.83016
Zhang, Y.; Xia, T. Y.; Zhao, W.
2007
On fundamental groups of Finsler manifolds. Zbl 1239.53031
Shen, YiBing; Zhao, Wei
2011
Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays. Zbl 1446.93016
Zhao, Wei; Wu, Huaiqin
2018
All $$\alpha+u\beta$$-constacyclic codes of length $$np^s$$ over $$\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$$. Zbl 1436.94118
Zhao, Wei; Tang, Xilin; Gu, Ze
2018
Gromov pre-compactness theorems for nonreversible Finsler manifolds. Zbl 1197.53097
Shen, Yi-Bing; Zhao, Wei
2010
Numerical simulations of sound radiated from an axisymmetric premixed reacting jet. Zbl 1184.76612
Zhao, Wei; Frankel, Steven H.
2001
Relaxation methods for image denoising based on difference schemes. Zbl 1218.94012
Jia, Rong-Qing; Zhao, Hanqing; Zhao, Wei
2011
Wavelet-based nonparametric functional mapping of longitudinal curves. Zbl 05564525
Zhao, Wei; Wu, Rongling
2008
Multi-environment probability density function method for modelling turbulent combustion using realistic chemical kinetics. Zbl 1180.80065
Tang, Q.; Zhao, W.; Bockelie, M.; Fox, R. O.
2007
An exact analytic spectrum of relic gravitational waves in an accelerating universe. Zbl 1104.83022
Zhang, Y.; Er, X. Z.; Xia, T. Y.; Zhao, W.; Miao, H. X.
2006
Is super-resolution with optical flow feasible? Zbl 1034.68705
Zhao, W.; Sawhney, H. S.
2002
Event-triggered stochastic synchronization in finite time for delayed semi-Markovian jump neural networks with discontinuous activations. Zbl 1449.93259
Liu, Min; Wu, Huaiqin; Zhao, Wei
2020
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
A Gauss-Bonnet-Chern theorem for complex Finsler manifolds. Zbl 1361.53058
Zhao, Wei
2016
A moving Kriging interpolation response surface method for structural reliability analysis. Zbl 1356.74171
Zhao, W.; Liu, J. K.; Li, X. Y.; Yang, Q. W.; Chen, Y. Y.
2013
On $$\phi$$-von Neumann regular rings. Zbl 1272.13010
Zhao, Wei; Wang, Fanggui; Tang, Gaohua
2013
Certificateless undeniable signatures from bilinear maps. Zbl 1248.94100
Zhao, Wei; Ye, Dingfeng
2012
Some results on fundamental groups and Betti numbers of Finsler manifolds. Zbl 1242.53095
Shen, Yibing; Zhao, Wei
2012
The criterion of the existence or inexistence of transverse shock wave at wedge supported oblique detonation wave. Zbl 1270.76036
Wang, Ai-Feng; Zhao, Wei; Jiang, Zong-Lin
2011
A novel hybrid immune algorithm and its convergence based on the steepest descent algorithm. Zbl 1229.90275
Liu, X. Y.; Zhang, A. L.; Gao, Y. L.; Zhao, W.
2011
A general model for detecting genetic determinants underlying longitudinal traits with unequally spaced measurements and nonstationary covariance structure. Zbl 1070.62105
Hou, Wei; Garvan, Cynthia W.; Zhao, Wei; Behnke, Marylou; Eyler, Fonda Davis; Wu, Rongling
2005
A characterization of cyclic subspace codes via subspace polynomials. Zbl 07067775
Zhao, Wei; Tang, Xilin
2019
Finite-time distributed formation tracking control of multi-UAVs with a time-varying reference trajectory. Zbl 1417.93228
Zhao, Wei; Li, Renfu; Zhang, Huaipin
2018
The fractional Kalman filter-based asynchronous multirate sensor information fusion. Zbl 1407.94045
Xue, Guangyue; Xu, Yubin; Guo, Jing; Zhao, Wei
2018
Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds. Zbl 1376.26022
Yuan, Lixia; Zhao, Wei; Shen, Yibing
2018
Reliability analysis of random vibration transmission path systems. Zbl 1406.90030
Zhao, Wei; Zhang, Yi-Min
2017
Some formulas of Santaló type in Finsler geometry and its applications. Zbl 1374.53042
Yuan, Lixia; Zhao, Wei
2015
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 06281203
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2014
A lower bound for the length of closed geodesics on a Finsler manifold. Zbl 1302.53029
Zhao, Wei
2014
A modified variational iteration method for nonlinear oscillators. Zbl 1401.65091
Yang, Q. W.; Chen, Y. M.; Liu, J. K.; Zhao, W.
2013
Homotopy finiteness theorems for Finsler manifolds. Zbl 1313.53040
Zhao, Wei
2013
Stability estimate on meshless unsymmetric collocation method for solving boundary value problems. Zbl 1297.65167
Duan, Y.; Hon, Y. C.; Zhao, W.
2013
A new method for parameter sensitivity estimation in structural reliability analysis. Zbl 1209.62243
Zhao, W.; Liu, J. K.; Ye, J. J.
2011
A two-unit cold standby repairable system with one replaceable repair facility and delay repair (II). Zbl 1183.90142
Tang, Yinghui; Wei, Yingyuan; Zhao, Wei
2008
Sand accumulation on a wall in flows around a near-wall circular cylinder. Zbl 1158.76334
Guo, S.-X.; Li, W.-P.; Zhao, W.; Chen, B.
2008
Theoretical analysis of the heat dissipation mechanism in Yb$$^{3+}$$-doped double-clad fiber lasers. Zbl 1152.78330
Li, Jianfeng; Duan, Kailiang; Wang, Yishan; Cao, Xiangjie; Zhao, Wei; Guo, Yongkang; Lin, Xiangdi
2008
Discrete-time models for statistically self-similar signals. Zbl 1369.94201
Lee, Seungsin; Zhao, Wei; Narasimha, Rajesh; Rao, Raghuveer M.
2003
Epidemic model of hepatitis B without vaccination. Zbl 1037.92036
Zhao, Jiakun; Zhou, Lingli; Zhao, Wei
2002
The constant-Jacobian method for kinematics of a three-DOF planar micro-motion stage. Zbl 1114.70304
Zhang, W. J.; Zou, J.; Watson, L. G.; Zhao, W.; Zong, G. H.; Bi, S. S.
2002
Event-triggered stochastic synchronization in finite time for delayed semi-Markovian jump neural networks with discontinuous activations. Zbl 1449.93259
Liu, Min; Wu, Huaiqin; Zhao, Wei
2020
A characterization of cyclic subspace codes via subspace polynomials. Zbl 07067775
Zhao, Wei; Tang, Xilin
2019
Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays. Zbl 1446.93016
Zhao, Wei; Wu, Huaiqin
2018
All $$\alpha+u\beta$$-constacyclic codes of length $$np^s$$ over $$\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$$. Zbl 1436.94118
Zhao, Wei; Tang, Xilin; Gu, Ze
2018
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
Finite-time distributed formation tracking control of multi-UAVs with a time-varying reference trajectory. Zbl 1417.93228
Zhao, Wei; Li, Renfu; Zhang, Huaipin
2018
The fractional Kalman filter-based asynchronous multirate sensor information fusion. Zbl 1407.94045
Xue, Guangyue; Xu, Yubin; Guo, Jing; Zhao, Wei
2018
Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds. Zbl 1376.26022
Yuan, Lixia; Zhao, Wei; Shen, Yibing
2018
Reliability analysis of random vibration transmission path systems. Zbl 1406.90030
Zhao, Wei; Zhang, Yi-Min
2017
A Gauss-Bonnet-Chern theorem for complex Finsler manifolds. Zbl 1361.53058
Zhao, Wei
2016
Some formulas of Santaló type in Finsler geometry and its applications. Zbl 1374.53042
Yuan, Lixia; Zhao, Wei
2015
Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves. Zbl 06281203
Tong, M. L.; Zhang, Y.; Zhao, W.; Liu, J. Z.; Zhao, C. S.; Yang, T. G.
2014
A lower bound for the length of closed geodesics on a Finsler manifold. Zbl 1302.53029
Zhao, Wei
2014
A universal volume comparison theorem for Finsler manifolds and related results. Zbl 1327.53027
Zhao, Wei; Shen, Yibing
2013
A moving Kriging interpolation response surface method for structural reliability analysis. Zbl 1356.74171
Zhao, W.; Liu, J. K.; Li, X. Y.; Yang, Q. W.; Chen, Y. Y.
2013
On $$\phi$$-von Neumann regular rings. Zbl 1272.13010
Zhao, Wei; Wang, Fanggui; Tang, Gaohua
2013
A modified variational iteration method for nonlinear oscillators. Zbl 1401.65091
Yang, Q. W.; Chen, Y. M.; Liu, J. K.; Zhao, W.
2013
Homotopy finiteness theorems for Finsler manifolds. Zbl 1313.53040
Zhao, Wei
2013
Stability estimate on meshless unsymmetric collocation method for solving boundary value problems. Zbl 1297.65167
Duan, Y.; Hon, Y. C.; Zhao, W.
2013
Certificateless undeniable signatures from bilinear maps. Zbl 1248.94100
Zhao, Wei; Ye, Dingfeng
2012
Some results on fundamental groups and Betti numbers of Finsler manifolds. Zbl 1242.53095
Shen, Yibing; Zhao, Wei
2012
Riesz bases of wavelets and applications to numerical solutions of elliptic equations. Zbl 1248.42031
Jia, Rong-Qing; Zhao, Wei
2011
On fundamental groups of Finsler manifolds. Zbl 1239.53031
Shen, YiBing; Zhao, Wei
2011
Relaxation methods for image denoising based on difference schemes. Zbl 1218.94012
Jia, Rong-Qing; Zhao, Hanqing; Zhao, Wei
2011
The criterion of the existence or inexistence of transverse shock wave at wedge supported oblique detonation wave. Zbl 1270.76036
Wang, Ai-Feng; Zhao, Wei; Jiang, Zong-Lin
2011
A novel hybrid immune algorithm and its convergence based on the steepest descent algorithm. Zbl 1229.90275
Liu, X. Y.; Zhang, A. L.; Gao, Y. L.; Zhao, W.
2011
A new method for parameter sensitivity estimation in structural reliability analysis. Zbl 1209.62243
Zhao, W.; Liu, J. K.; Ye, J. J.
2011
Gromov pre-compactness theorems for nonreversible Finsler manifolds. Zbl 1197.53097
Shen, Yi-Bing; Zhao, Wei
2010
Convergence analysis of the Bregman method for the variational model of image denoising. Zbl 1194.68251
Jia, Rong-Qing; Zhao, Hanqing; Zhao, Wei
2009
Wavelet-based nonparametric functional mapping of longitudinal curves. Zbl 05564525
Zhao, Wei; Wu, Rongling
2008
A two-unit cold standby repairable system with one replaceable repair facility and delay repair (II). Zbl 1183.90142
Tang, Yinghui; Wei, Yingyuan; Zhao, Wei
2008
Sand accumulation on a wall in flows around a near-wall circular cylinder. Zbl 1158.76334
Guo, S.-X.; Li, W.-P.; Zhao, W.; Chen, B.
2008
Theoretical analysis of the heat dissipation mechanism in Yb$$^{3+}$$-doped double-clad fiber lasers. Zbl 1152.78330
Li, Jianfeng; Duan, Kailiang; Wang, Yishan; Cao, Xiangjie; Zhao, Wei; Guo, Yongkang; Lin, Xiangdi
2008
Yang-Mills condensate dark energy coupled with matter and radiation. Zbl 1126.83016
Zhang, Y.; Xia, T. Y.; Zhao, W.
2007
Multi-environment probability density function method for modelling turbulent combustion using realistic chemical kinetics. Zbl 1180.80065
Tang, Q.; Zhao, W.; Bockelie, M.; Fox, R. O.
2007
An exact analytic spectrum of relic gravitational waves in an accelerating universe. Zbl 1104.83022
Zhang, Y.; Er, X. Z.; Xia, T. Y.; Zhao, W.; Miao, H. X.
2006
A general model for detecting genetic determinants underlying longitudinal traits with unequally spaced measurements and nonstationary covariance structure. Zbl 1070.62105
Hou, Wei; Garvan, Cynthia W.; Zhao, Wei; Behnke, Marylou; Eyler, Fonda Davis; Wu, Rongling
2005
Discrete-time models for statistically self-similar signals. Zbl 1369.94201
Lee, Seungsin; Zhao, Wei; Narasimha, Rajesh; Rao, Raghuveer M.
2003
Is super-resolution with optical flow feasible? Zbl 1034.68705
Zhao, W.; Sawhney, H. S.
2002
Epidemic model of hepatitis B without vaccination. Zbl 1037.92036
Zhao, Jiakun; Zhou, Lingli; Zhao, Wei
2002
The constant-Jacobian method for kinematics of a three-DOF planar micro-motion stage. Zbl 1114.70304
Zhang, W. J.; Zou, J.; Watson, L. G.; Zhao, W.; Zong, G. H.; Bi, S. S.
2002
Numerical simulations of sound radiated from an axisymmetric premixed reacting jet. Zbl 1184.76612
Zhao, Wei; Frankel, Steven H.
2001
Effects of trailing jet instability on vortex ring formation. Zbl 1149.76598
Zhao, Wei; Frankel, Steven H.; Mongeau, Luc G.
2000
Optimal two-period repeated measurements designs. Zbl 0714.62067
Hedayat, A.; Zhao, W.
1990
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#### Cited by 310 Authors

 8 Černá, Dana 6 Finěk, Václav 6 Hedayat, Abdossamad 6 Zhao, Wei 5 Yin, Songting 4 Gao, Lei 4 Shen, Yibing 4 Wu, Bingye 4 Yang, Min 4 Yang, Yufei 4 Yu, Simon C. M. 3 Abdel-Kareem, Waleed 3 Cao, Jinde 3 Danaila, Ionut 3 Fukunishi, Yu 3 Izawa, Seiichiro 3 Kristály, Alexandru 3 Nabil, Tamer 3 Pang, Zhifeng 3 Wu, Huaiqin 3 Zhao, Wen 2 Afsarinejad, Kasra 2 Cao, Yonglin 2 Cao, Yuan 2 Chakraborty, Souvik 2 Chowdhury, Rajib 2 Davydov, Evgeny A. 2 Dinh, Hai Quang 2 Fu, Fangwei 2 Gal’tsov, Dmitri V. 2 Gao, Jian 2 He, Qun 2 Hon, Yiu-Chung 2 Jia, Rongqing 2 Jiang, Zonglin 2 Law, Adrian Wing-Keung 2 Liu, Xinwu 2 Peña Fernández, Juan José 2 Samson, Adeline 2 Sesterhenn, Jörn L. 2 Shi, Baoli 2 Sriboonchitta, Songsak 2 Teng, Honghui 2 Wu, Tingting 2 Xia, Tianyang 2 Yan, Zhiwu 1 Adams, E. Eric 1 Adhikari, Sondipon 1 Ai, Jiao Jian 1 Alba, Vasyl A. 1 Ali, Shaukat 1 Allen, James J. 1 Amara, Ingrid A. 1 Bacem, Khoualdia 1 Bagchi Khatua, Piyali 1 Bahamonde, Sebastian 1 Balaras, Elias 1 Bao, Hujun 1 Bayraktar, Erhan 1 Behnia, Rouzbeh 1 Benhissi, Ali 1 Beratlis, Nikolaos 1 Blanchard, Mathieu 1 Böhmer, Christian G. 1 Brear, Michael John 1 Cai, Jian-Feng 1 Cao, Luo 1 Carloni, Sante 1 Carriere, Keumhee Chough 1 Chai, Yu-Yang 1 Chakraborty, Shuvendu 1 Chakraborty, Subrata 1 Chalikias, Miltiadis S. 1 Chang, Qianshun 1 Chatterjee, Tanmoy 1 Chattopadhyay, Surajit 1 Chen, Bo 1 Chen, Chien-Fu 1 Chen, Weisheng 1 Chen, Zhihua 1 Chi, George Y. H. 1 Chou, Yi-Ju 1 Copeland, Edmund J. 1 Dai, Hao 1 Dănăilă, Sterian 1 Debnath, Ujjal 1 Ding, Feng 1 Ding, Sanbo 1 Ditlevsen, Susanne 1 Dong, Fangfang 1 Donnet, Sophie 1 Drémeau, Angélique 1 Duan, Jiandong 1 Er, X. Z. 1 Fang, Wei 1 Fang, Xinpeng 1 Farkas, Csaba 1 Feng, Jianwen 1 Foulley, Jean-Louis 1 Fringer, Oliver B. ...and 210 more Authors
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#### Cited in 89 Serials

 11 Journal of Fluid Mechanics 7 Journal of Statistical Planning and Inference 6 Computers and Fluids 6 Physics of Fluids 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 Communications in Statistics. Theory and Methods 5 International Journal of Modern Physics D 4 Applied and Computational Harmonic Analysis 3 International Journal of Theoretical Physics 3 Journal of Mathematical Analysis and Applications 3 The Annals of Statistics 3 Applied Mathematical Modelling 2 Computer Methods in Applied Mechanics and Engineering 2 Discrete Mathematics 2 Journal of the Franklin Institute 2 Theoretical and Computational Fluid Dynamics 2 Biometrics 2 Circuits, Systems, and Signal Processing 2 International Journal of Mathematics 2 Finite Fields and their Applications 2 Advances in Computational Mathematics 2 Complexity 2 Nonlinear Dynamics 2 Gravitation & Cosmology 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Science China. Mathematics 1 Modern Physics Letters A 1 Acta Mechanica 1 Communications in Algebra 1 General Relativity and Gravitation 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Physics Reports 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Information Sciences 1 Journal of the American Statistical Association 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Computer Science and Technology 1 Numerical Methods for Partial Differential Equations 1 Neural Networks 1 The Journal of Geometric Analysis 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Mechanism and Machine Theory 1 European Journal of Mechanics. B. Fluids 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Combustion Theory and Modelling 1 Journal of High Energy Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Modern Optics 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Algebra and its Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Statistical Theory and Practice 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 SIAM Journal on Imaging Sciences 1 Journal of the Italian Statistical Society 1 Discrete Mathematics, Algorithms and Applications 1 Advances in Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 Axioms
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#### Cited in 37 Fields

 33 Numerical analysis (65-XX) 33 Fluid mechanics (76-XX) 28 Statistics (62-XX) 23 Information and communication theory, circuits (94-XX) 21 Differential geometry (53-XX) 15 Relativity and gravitational theory (83-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Operations research, mathematical programming (90-XX) 9 Quantum theory (81-XX) 9 Biology and other natural sciences (92-XX) 8 Astronomy and astrophysics (85-XX) 7 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 7 Systems theory; control (93-XX) 6 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Combinatorics (05-XX) 4 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)