| Invalid |
1991 MSC |
MSC2000 |
|---|
| 03B46 | Relevance and entailment | 03B47 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 04-XX | Set theory | 03Exx |
| 04-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | 03-00 |
| 04-01 | Instructional exposition (textbooks, tutorial papers, etc.) | 03-01 |
| 04-02 | Research exposition (monographs, survey articles) | 03-02 |
| 04-03 | {Historical (must also be assigned at least one classification number from Section 01)} | 03-03 |
| 04-04 | {Explicit machine computation and programs (not~the~theory of computation or programming)} | 03-04 |
| 04-06 | Proceedings, conferences, collections, etc. | 03-06 |
| 04A03 | Set algebra | 03E20 |
| 04A05 | Relations, functions | 03E20 |
| 04A10 | Ordinal and cardinal numbers; generalizations | 03E10 |
| 04A15 | Descriptive set theory; Borel classifications, Suslin schemes, etc. | 03E15 |
| 04A20 | Combinatorial set theory | 03E05 |
| 04A25 | Axiom of choice and equivalent propositions (Zorn's lemma, etc.) | 03E25 |
| 04A30 | Continuum hypothesis, generalized continuum hypothesis | 03E30 |
| 04A72 | Fuzzy sets, fuzzy relations | 03E72 |
| 04A99 | {Miscellaneous topics } | 03E99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 06A08 | Shellable posets, Cohen-Macaulay posets | 06A11 |
| 06A09 | Cohomology of posets | 06A11 |
| 06A23 | Complete lattices, completions | 06B23 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 13A20 | Brauer groups | 14F22, 16K50 |
| 13B15 | Ramification theory | 13B02 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 14C10 | Equivalence relations | 14C15 |
| 14D25 | Geometric invariants | 14L24 |
| 14E09 | Automorphisms | 14H37, 14J50 |
| 14E10 | General correspondences | 14E05 |
| 14E35 | Results in dimension $\leq 3$ | 14J30 |
| 14E40 | Local structure of maps: \'etale, flat, etc. | 14B25 |
| 14F32 | Intersection (co)homology | 14F43 |
| 14H35 | Correspondences | 14E05 |
| 14J05 | Picard group | 14C22 |
| 14L27 | Automorphism groups | 14H37, 14J50 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 16D15 | 1-sided ideals | 16D25 |
| 16E70 | Other rings of low global or flat dimension | 16E10 |
| 16U50 | Algebraicity and local finiteness | 16U99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 17A10 | Commutative power-associative | 17A05 |
| 17A25 | Nodal algebras | 17A99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 20D50 | Covering of subgroups | 20E07 |
| 20F32 | Geometric group theory | 20F65 |
| 20J10 | Groups arising as cohomology groups | 20J05 |
| 20K05 | Finitely generated groups | 20K21 |
| 20K12 | Ulm sequences | 20K10 |
| 20K26 | Indecomposable groups | 20K25 |
| 20LXX | Groupoids (i.e.\ small categories in which all morphisms are isomorphisms) | 20L05 |
| 20L10 | Connections with group theory | 20L05 |
| 20L13 | Mappings of groupoids | 20L05 |
| 20L15 | Connections with topology | 20L05 |
| 20L17 | Connections with category theory | 20L05 |
| 20L99 | {None of the above, but in this section} | 20L05 |
| 20N07 | Mappings of loops | 20N05 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 32C10 | Complex manifolds | 32Qxx |
| 32C16 | CR-manifolds | 32Vxx |
| 32C17 | K\"ahler geometry | 32Q15 |
| 32E25 | Algebras of holomorphic functions | 32A38 |
| 32F05 | Plurisubharmonic functions and generalizations | 32U05 |
| 32F07 | Complex Monge-Amp\`ere operator | 32W20 |
| 32F15 | Pseudoconvex domains | 32Txx |
| 32F20 | $\overline\partial$- and $\overline\partial \sb b$-Neumann problems | 32W05, 32W10 |
| 32F25 | Real submanifolds in complex manifolds | 32V40 |
| 32F30 | Pseudoconvex manifolds | 32Txx |
| 32F40 | CR structures, (tangential) CR operators and generalizations | 32V05 |
| 32H10 | Bergman kernel function, representative domains | 32A25 |
| 32H15 | Invariant metrics and pseudodistances | 32F45 |
| 32H20 | Hyperbolic complex manifolds | 32Q45 |
| 32J20 | Algebraicity criteria | 32J99 |
| 32L07 | Hermite-Einstein bundles; K\"ahler-Einstein metrics | 32Q20, 32Q25 |
| 32L30 | Holomorphic foliations | 32S65 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 33D10 | Basic theta functions | 33D15 |
| 33D20 | Generalized basic hypergeometric series | 33D99 |
| 33D55 | Basic spherical functions, spherical harmonics (continuous and discrete) | 33D50 33D52 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 34A20 | Differential equations in the complex domain | 32G34, 34Mxx |
| 34A46 | Theoretical solution methods other than approximations | 34A99 |
| 34A47 | Bifurcation | 34C23, 37Gxx |
| 34A50 | Numerical approximation of solutions | 37Mxx, 65Lxx, 65Pxx |
| 34A65 | Stiff equations | 65L06 |
| 34C35 | Dynamical systems | 37-XX, 54H20 |
| 34C50 | Method of accelerated convergence | 34C99, 37J40 |
| 34D25 | Popov-type stability | 34D99, 93D10 |
| 34K15 | Qualitative theory | 34K11, 34K12, 34K13, 34K14, 34K17, 34K18, 34K19, 34K23, 37Cxx, 37Gxx |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 35A40 | Numerical approximation to solutions | 65Mxx, 65Nxx |
| 35H05 | Hypoelliptic equations and systems | 35Hxx |
| 35K22 | Evolution equations (any order in the spatial derivatives) | 35K90 35K99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 42A28 | Absolute convergence, absolute summability | 42A20, 42A24 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 45LXX | Approximation of solutions | 45L05, 65R20, 65Rxx |
| 45L10 | Numerical approximation of solutions | 65R20, 65Rxx |
| 45L99 | {None of the above, but in this section} | 65R20, 65Rxx |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 46L50 | Noncommutative measure, integration and probability | 46L51, 46L52, 46L53, 46L54 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 47A63 | Operator inequalities, operator means, shorted operators, etc. | 47A63, 47A64 |
| 47D15 | Linear spaces of operators | 47L05 |
| 47D20 | Convex sets and cones of operators | 47L07 |
| 47D25 | Operator algebras on Hilbert space | 47L25, 47L30, 47L35, 47L40 |
| 47D27 | Dual operator algebras | 47L45 |
| 47D30 | Operator algebras on Banach spaces and other linear topological spaces | 47L10 |
| 47D35 | Dual spaces of operator algebras and topological groups | 47L50 |
| 47D40 | Algebras of unbounded operators | 47L60 |
| 47D45 | Applications of operator algebras to physics | 47L90, 47N50, 47N55 |
| 47D50 | Operator ideals | 47L20 |
| 47H12 | Spectral theory of nonlinear operators | 47J10 |
| 47H15 | Equations involving nonlinear operators | 47J05, 47Jxx |
| 47H17 | Methods for solving equations involving nonlinear operators | 47J25, 65J15 |
| 47H19 | Inequalities involving nonlinear operators | 47J20, 49J40 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 49L05 | Free problems and problems involving ordinary differential equations | 49J05, 49J10, 49J15, 49K05, 49K10, 49K15 |
| 49L10 | Free problems and problems involving partial differential equations | 49J20, 49K20 |
| 49L15 | Problems in abstract spaces or problems involving functional relations other than differential equations | 49J27, 49K27 |
| 49M07 | Gradient methods | 90C30, 90C52, 90C53, 90C55 |
| 49M10 | Methods of steepest descent type | 90C30, 90C52, 90C53, 90C55 |
| 49M35 | Methods of linear programming type | 90C05, 90C08 |
| 49M39 | Semi-infinite programming | 90C34 |
| 49M40 | Methods of quadratic programming type | 90C20, 90C55 |
| 49M45 | Methods of convex programming type | 90C25, 90C55 |
| 49M49 | Geometric programming | 90C30 |
| 49N40 | Open-loop controls | 93C15 |
| 49N50 | Inverse problems in optimal control theory | 49N45 |
| 49N55 | Noneconomic applications of optimal control theory and differential games | 49N90 |
| 49N65 | Applications of measurable selections to control theory | 49J52 |
| 49Q25 | Surface area | 49Q05 |
| 49RXX | Variational methods | 49R50 |
| 49R05 | Variational approach to eigenvalues | 49R50 |
| 49R10 | Rayleigh-Ritz methods | 49R50 |
| 49R15 | Weinstein and Aronszajn methods, intermediate problems | 49R50 |
| 49R20 | Linear operators in Hilbert spaces | 49R50 |
| 49R99 | {None of the above, but in this section} | 49R50 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 52B30 | Arrangements of hyperplanes | 52C35 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 53A50 | Spinor analysis | 53Q27 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 55P50 | Category and cocategory, etc. | 55M30 |
| 55Q30 | Homotopy groups of triads, $n$-ads | 55Q05 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 58B30 | Noncommutative differential geometry and topology | 58B32, 58B34 |
| 58C27 | Singularities of differentiable maps | 58Kxx |
| 58C28 | Catastrophes | 58K35 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 58FXX | Ordinary differential equations on manifolds; dynamical systems | 28Dxx, 34Cxx, 37-XX, 54H20 |
| 58F03 | One-dimensional dynamics, general symbolic dynamics | 37A05, 37B10, 37E05, 37E10, 37E15, 37E20, 37E25 |
| 58F05 | Hamiltonian and Lagrangian systems; symplectic geometry | 37Jxx, 37Kxx, 53Dxx, 70Hxx |
| 58F06 | Geometric quantization (applications of representation theory) | 53D50, 81S10 |
| 58F07 | Completely integrable systems (including systems with an infinite number of degrees of freedom) | 35Q51, 35Q53, 35Q55, 35Q58, 37J30, 37J35, 37K10, 37K15, 37K20, 37K25, 37K30, 37K35, 37K40, 70H06 |
| 58F08 | Point-mapping properties, iterations, completeness; dynamics of cellular automata | 37B15, 37C99, 37E99 |
| 58F09 | Morse-Smale systems | 37D15 |
| 58F10 | Stability theory | 34Dxx, 37C75, 37D99, 37E99, 37H99, 37J25, 37K45, 37L15 |
| 58F11 | Ergodic theory; invariant measures | 37Axx, 28Dxx |
| 58F12 | Structure of attractors (and repellors) | 34D45, 35B41, 37B25, 37C70, 37D45, 37G35, 37L25, 37L30 |
| 58F13 | Strange attractors; chaos and other pathologies | 34C28, 37Dxx, 37D45, 70K55 |
| 58F14 | Bifurcation theory and singularities | 34C23, 34K18, 35B32, 37Gxx, 37H20, 37J20, 37K50, 37L10, 37M20, 70K50 |
| 58F15 | Hyperbolic structures (expanding maps, Anosov systems, etc.) | 37Dxx |
| 58F17 | Geodesic and horocycle flows | 37D40, 53D25 |
| 58F18 | Relations with foliations | 37C85, 57R30 |
| 58F19 | Eigenvalue and spectral problems | 37C99 |
| 58F20 | Periodic points and zeta functions | 37C25, 37C30 |
| 58F21 | Limit cycles, singular points, etc. | 34C05, 37C25, 37C27, 37G15, 70K05 |
| 58F22 | Periodic solutions | 34C25, 34C27, 37G15 |
| 58F23 | Holomorphic dynamics | 30D05, 32H05, 32H04, 32H40, 37Fxx |
| 58F25 | Flows | 37A10, 37A17, 37B99, 37C10, 37C55, 37C65, 37D99, 37E35, 37H99 |
| 58F27 | Quasiperiodic flows | 37C55 |
| 58F30 | Perturbations | 34C29, 37J40, 37K55, 37L50, 70H08, 70H09, 70K60, 70K65, 70K70 |
| 58F32 | Functional-differential equations on manifolds | 34K99 |
| 58F35 | Invariance properties | 34A26, 34C14, 37C80, 37G40, 37J15, 37K05, 37L20, 70H33 |
| 58F36 | Normal forms | 34C20, 34K17, 34M35, 37G05, 37J40, 37K50, 37K99, 37L10, 58K50, 70K45 |
| 58F37 | Correspondences and other transformation methods (e.g.\ Lie-B\"acklund) | 34A25, 35A30, 35Q99, 37K35, 58J72 |
| 58F39 | Dynamical systems treatment of PDE (should be assigned another number from 58F) | 37Kxx, 37Lxx, 47H20, 58D07, 58D25 |
| 58F40 | Applications | 37Nxx |
| 58F99 | {None of the above, but in this section} | 37-XX |
| 58GXX | Partial differential equations on manifolds; differential operators | 58Jxx |
| 58G03 | Elliptic equations on manifolds, general theory | 58J05 |
| 58G05 | Differential complexes | 58J10 |
| 58G07 | Relations with hyperfunctions | 58J15 |
| 58G10 | Index theory and related fixed-point theorems | 58J20 |
| 58G11 | Heat and other parabolic equation methods | 58J35 |
| 58G12 | Exotic index theories | 58J22 |
| 58G15 | Pseudodifferential and Fourier integral operators on manifolds | 58J40 |
| 58G16 | Hyperbolic equations | 58J45 |
| 58G17 | Propagation of singularities; initial value problems | 58J47 |
| 58G18 | Perturbations; asymptotics | 58J37 |
| 58G20 | Boundary value problems on manifolds | 58J32 |
| 58G25 | Spectral problems; spectral geometry; scattering theory | 58J50, 58J53 |
| 58G26 | Determinants and determinant bundles | 58J52 |
| 58G28 | Bifurcations | 58J55 |
| 58G30 | Relations with special manifold structures (Riemannian, Finsler, etc.) | 58J60 |
| 58G32 | Diffusion processes and stochastic analysis on manifolds | 58J65 |
| 58G35 | Invariance and symmetry properties | 58J70 |
| 58G37 | Correspondences and other transformation methods (e.g.\ Lie-B\"acklund) | 58J72 |
| 58G40 | Applications | 58J90 |
| 58G99 | {None of the above, but in this section} | 58J99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 60J15 | Random walks | 60G50 |
| 60J30 | Processes with independent increments | 60G51 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 62AXX | Foundations | 62A01 |
| 62A05 | Invariance and group considerations | 62A01 |
| 62A10 | The likelihood approach | 62A01 |
| 62A15 | The Bayesian approach | 62A01 |
| 62A20 | The classical approach | 62A01 |
| 62A25 | The structural approach | 62A01 |
| 62A30 | The fiducial approach | 62A01 |
| 62A99 | {None of the above, but in this section} | 62A01 |
| 62B20 | Measure-theoretic results, etc. | 62B05, 62B99 |
| 62E25 | Monte Carlo studies | 65C05, 65C10, 65C60 |
| 62E30 | Formal computational methods (polykays, etc.) | 62E99 |
| 62F04 | Small-sample properties of tests | 62F03 |
| 62F11 | Small-sample properties of estimators | 62F10 |
| 62H40 | Projection pursuit | 62H99 |
| 62N10 | Quality control | 62P30 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 65G05 | Roundoff error | 65G50 |
| 65G10 | Interval and finite arithmetic | 65G20, 65G30, 65G40 |
| 65P05 | Partial differential equations, miscellaneous problems | 65M99, 65N99, 65Z05 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 65T10 | Trigonometric approximation and interpolation | 65T40 |
| 65T20 | Discrete and fast Fourier transforms | 65T50, 65T60 |
| 65U05 | Numerical methods in probability and statistics | 65Cxx, 65C30, 65C40, 65C50, 65C60 |
| 65Y25 | Computer graphics and computational geometry | 65D18 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 68M05 | General | 68M01 |
| 68N05 | General theory of programming | 68N01 |
| 68Q20 | Nonnumerical algorithms | 68W01, 68W05, 68W20, 68W25 |
| 68Q22 | Parallel and distributed algorithms | 68W10, 68W15 |
| 68Q35 | VLSI algorithms | 68W35 |
| 68Q40 | Symbolic computation, algebraic computation | 68W30 |
| 68Q50 | Grammars | 68Q42, 68Q45 |
| 68Q52 | Parsing | 68N20 |
| 68Q68 | Automata theory, general | 68Q45 |
| 68Q75 | Stochastic and nondeterministic automata | 68Q45 |
| 68Q90 | Transition nets | 68Q85 |
| 68S05 | Mathematical linguistics | 68T50 |
| 68T25 | AI languages | 68T35 |
| 68U30 | Other applications | 68U99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 70DXX | Dynamics of a particle | 70Fxx, 70Kxx |
| 70D05 | Newtonian dynamics | 70F99, 70K99 |
| 70D10 | Lagrangian dynamics | 70H03, 70K99 |
| 70D99 | {None of the above, but in this section} | 70F99 |
| 70E10 | Motion of projectiles and rockets | 70E15, 70M20, 70P05 |
| 70F30 | Impulsive motion | 34A37, 70F35, 70F99 |
| 70G05 | Riemannian geometry, tensorial methods | 37J05, 70G45, 53C80, 53Dxx |
| 70G15 | Space of events | 70G10 |
| 70G20 | Impulse-energy space | 37J05, 70G10 |
| 70G25 | Configuration space | 37J05, 70G10 |
| 70G30 | State space | 70G10 |
| 70G35 | Phase space | 37J05, 53D99, 70G10 |
| 70G50 | Classical field theories (general) | 70Sxx, 78A25, 81T13 |
| 70H10 | Liouville's theorem | 37J05, 70G10, 70H05 |
| 70H35 | Lagrange's equation of motion | 37Jxx, 70H03 |
| 70J05 | Finite degree of freedom systems | 70Jxx |
| 70K10 | Limit cycles | 34C05, 70K05 |
| 70K15 | Lyapunov theorems | 34D20, 37J25, 70K20 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 73-XX | Mechanics of solids | 74-XX |
| 73-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | 74-00 |
| 73-01 | Instructional exposition (textbooks, tutorial papers, etc.) | 74-01 |
| 73-02 | Research exposition (monographs, survey articles) | 74-02 |
| 73-03 | {Historical (must also be assigned at least one classification number from Section 01)} | 74-03 |
| 73-04 | {Explicit machine computation and programs (not~the~theory of computation or programming)} | 74-04 |
| 73-05 | Experimental papers | 74-05 |
| 73-06 | Proceedings, conferences, collections, etc. | 74-06 |
| 73A05 | Axiomatics, foundations of solid mechanics | 74Axx |
| 73BXX | Continuum mechanics of solids (constitutive description and properties) | 74Axx |
| 73B05 | Constitutive equations | 74A20, 74C99, 74D05, 74D10, 74Q15 |
| 73B10 | Symmetry groups | 74A99, 74E10, 74E15 |
| 73B18 | Nonlocal theories | 74A30 |
| 73B25 | Polar theories | 74A35 |
| 73B27 | Nonhomogeneous materials; homogenization | 35B27, 74A40, 74E05, 74Qxx, 78A48, 78M40 |
| 73B30 | Thermodynamics of solids | 74A15, 74A50, 74A65, 74F05, 74Nxx |
| 73B35 | Random materials | 74A40, 74E35, 82D30 |
| 73B40 | Anisotropic materials | 74E10 |
| 73B50 | Stress concentrations | 74A10, 74G70, 74H35 |
| 73B99 | {None of the above, but in this section} | 74A99, 74D99, 74E99 |
| 73CXX | Elasticity | 74Bxx, 74Gxx, 74Hxx |
| 73C02 | Classical linear elasticity | 74B05, 74Gxx, 74Hxx |
| 73C05 | Stress functions | 74A10, 74B10 |
| 73C10 | Saint-Venant's principle | 74G50 |
| 73C15 | Uniqueness theorems | 74G30, 74H25 |
| 73C35 | Mixed boundary value problems | 74Bxx, 74Gxx, 74Hxx |
| 73C50 | Nonlinear elasticity | 74B20, 74G99, 74H99 |
| 73C99 | {None of the above, but in this section} | 74B99, 74G99, 74H99 |
| 73DXX | Wave propagation in and vibrations of solids | 73Hxx, 73Jxx |
| 73D05 | Impact and explosion problems | 74J40, 74M20 |
| 73D10 | Integral transforms | 74H99, 74S30 |
| 73D15 | Body waves | 74H99, 74J10 |
| 73D20 | Surface waves | 74H99, 74J15 |
| 73D25 | Wave diffraction and dispersion | 74H99, 74J20 |
| 73D30 | Linear vibrations | 74H45, 74H50, 74K99 |
| 73D35 | Nonlinear vibrations | 74H45, 74H50, 74K99 |
| 73D40 | Singular surfaces | 74H99, 74J40, 74J99 |
| 73D50 | Inverse problems | 34A55, 35R30, 74J25 |
| 73D70 | Random waves | 74H50, 74J99 |
| 73D99 | {None of the above, but in this section} | 74H99, 74J99 |
| 73EXX | Plasticity | 74Cxx |
| 73E05 | Constitutive specifications (yield criteria, flow rules, hardening, softening) | 74C99 |
| 73E10 | Method of successive approximations | 74C99, 74S30 |
| 73E20 | Limit analysis | 74C99, 74R20 |
| 73E50 | Time-dependent problems | 74C99, 74H99 |
| 73E60 | Viscoplasticity | 74C10 |
| 73E70 | Plastic waves | 74C99, 74H99, 74J99 |
| 73E99 | {None of the above, but in this section} | 74C99 |
| 73FXX | Viscoelasticity | 74Dxx |
| 73F05 | Creep and relaxation functions | 74D05, 74D10 |
| 73F10 | Correspondence principle | 74D99 |
| 73F15 | Time-dependent problems | 74Dxx, 74H99 |
| 73F20 | Aging of materials | 74D99 |
| 73F25 | Environmental-dependent materials | 74D99 |
| 73F99 | {None of the above, but in this section} | 74D99 |
| 73GXX | Finite deformations | 74B20, 74C15, 74C20, 74D10 |
| 73G05 | Finite elasticity | 74B20, 74G99, 74H99 |
| 73G20 | Finite plasticity | 74C15, 74C20, 74G99, 74H99 |
| 73G25 | Finite viscoelasticity | 74D10, 74G99, 74H99 |
| 73G99 | {None of the above, but in this section} | 74B99, 74D99, 74G99, 74H99 |
| 73HXX | Stability (linear and nonlinear) | 74B99, 74G60, 74H55 |
| 73H05 | Buckling | 74G60 |
| 73H10 | Dynamic stability | 74H55 |
| 73H99 | {None of the above, but in this section} | 74G60, 74H99 |
| 73KXX | Mechanics of structures | 74Kxx |
| 73K03 | Strings | 74K05 |
| 73K05 | Beams, columns, rods | 74K10 |
| 73K10 | Plates, discs, membranes | 74K15, 74K20 |
| 73K12 | Dynamics of structures | 74Hxx, 74H99, 74K99 |
| 73K15 | Shells | 74K25 |
| 73K20 | Composite structures and materials | 74A40, 74E30, 74Q15, 74Q20 |
| 73K35 | Random vibrations | 74H50 |
| 73K40 | Optimization | 49Q10, 74K99, 74Pxx |
| 73K50 | Control of structures | 74M05, 93C20, 93C95 |
| 73K70 | Aero- or hydromechanic structure interactions | 74F10, 76B99, 76D99, 76N99 |
| 73K99 | {None of the above, but in this section} | 74K99 |
| 73M25 | Fracture mechanics | 74Rxx |
| 73N20 | Geophysical solid mechanics | 74L05, 86A99 |
| 73P20 | Biomechanics of solids | 74L15, 92C10 |
| 73Q05 | Soil and rock mechanics | 74L10 |
| 73R05 | Electromagnetic elasticity | 74F15, 78A99 |
| 73S10 | Micromechanics of solids | 74A60, 74M25, 74N15 |
| 73T05 | Contact and surface mechanics | 74A55, 74M10, 74M15 |
| 73VXX | Basic methods in solid mechanics | 74Sxx |
| 73V05 | Finite element methods | 74S05 |
| 73V10 | Boundary element methods | 74S15 |
| 73V15 | Finite difference methods | 74S20 |
| 73V20 | Other numerical methods | 74S10, 74S25, 74S30 |
| 73V25 | Variational methods | 74G99, 74H99, 74Pxx |
| 73V30 | Stochastic analysis | 74A40, 74H50, 73S30 |
| 73V35 | Complex variable techniques | 74G99, 74H99 |
| 73V99 | {None of the above, but in this section} | 74S99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 76B05 | Airfoil theory | 76B10 |
| 76B35 | Random waves, inviscid fluids | 76B15, 76M35 |
| 76B40 | Added mass computations | 76B99 |
| 76CXX | Incompressible inviscid fluids, vorticity flows | 76Bxx |
| 76C05 | Vorticity flows | 76B47 |
| 76C10 | Internal waves | 76B55 |
| 76C15 | Atmospheric waves | 76B60, 86A10 |
| 76C20 | Rossby waves | 76B65, 86A05, 86A10 |
| 76C99 | {None of the above, but in this section} | 76B99 |
| 76D15 | Boundary-layer separation and reattachment | 76D10 |
| 76D20 | Higher-order effects in boundary layers | 76D10 |
| 76D30 | Singular perturbation problems | 76D10, 76M45 |
| 76D35 | Random waves, viscous fluids | 76D33, 76M35 |
| 76E10 | Inertial instability | 76E17, 76E99 |
| 76T05 | Two-phase and multiphase flows | 76Txx |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 78-08 | Computational methods | 78Mxx |
| 78AXX | | 78Axx, 78Mxx |
| 80-08 | Computational methods | 80Mxx |
| 80A15 | Thermodynamics of mixtures | 80A10 |
| 80A97 | Mathematically heuristic classical thermodynamics (must also be assigned at least one other classification number in this section) | 80A99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 85A45 | Radio astronomy | 85A04 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 90AXX | Mathematical economics | 91Bxx |
| 90A05 | Decision theory | 91B06 |
| 90A06 | Individual preferences | 91B08 |
| 90A07 | Group preferences | 91B10 |
| 90A08 | Social choice | 91B14 |
| 90A09 | Finance, portfolios, investment | 91B28 |
| 90A10 | Utility theory | 91B16 |
| 90A11 | Production theory, theory of the firm | 91B38 |
| 90A12 | Price theory and market structure | 91B24 |
| 90A14 | Equilibrium: general theory | 91B50 |
| 90A15 | General economic models, trade models | 91B60 |
| 90A16 | Dynamic economic models, growth models | 91B62 |
| 90A17 | Multisectoral models | 91B66 |
| 90A19 | Statistical models; economic indexes and measures | 91B82 |
| 90A20 | Economic time series analysis | 91B84 |
| 90A25 | Spatial models | 91B72 |
| 90A27 | Public goods | 91B18 |
| 90A28 | Voting theory | 91B12 |
| 90A30 | Environmental economics (natural resource models, harvesting, pollution, etc.) | 91B76 |
| 90A35 | Informational economics | 91B44 |
| 90A36 | Incentives theory | 91B99 |
| 90A40 | Consumer behavior, demand theory | 91B42 |
| 90A43 | Expected utility; risk-averse utility | 91B16 |
| 90A46 | Risk theory | 91B30 |
| 90A50 | Labor market | 91B40 |
| 90A53 | Special types of economies | 91B54 |
| 90A56 | Special types of equilibria | 91B52 |
| 90A58 | Models of real-world systems; general macro-economic models, etc. | 91B74 |
| 90A60 | Market models (auctions, bargaining, bidding, selling, etc.) | 91B26 |
| 90A70 | Macro-economic policy-making, taxation | 91B64 |
| 90A80 | Resource allocation | 91B32 |
| 90A99 | {None of the above, but in this section} | 91B99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 90B12 | Communication networks | 90B18 |
| 90C28 | Geometric programming | 90C30 |
| 90C42 | Markov programming and Markov renewal programming | 90C40 |
| 90C45 | Continuous programming | 90C30 |
| 90DXX | Game theory | 91Axx |
| 90D05 | $2$-person games | 91A05 |
| 90D06 | $n$-person games, $n>2$ | 91A06 |
| 90D10 | Noncooperative games | 91A10 |
| 90D12 | Cooperative games | 91A12 |
| 90D13 | Games with infinitely many players | 91A13 |
| 90D15 | Stochastic games | 91A15 |
| 90D20 | Multistage and repeated games | 91A20 |
| 90D25 | Differential games | 91A23, 49N70 |
| 90D26 | Pursuit and evasion games | 91A24 |
| 90D35 | Decision theory for games | 91A35 |
| 90D40 | Game-theoretic models | 91A40 |
| 90D42 | Positional games | 91A24 |
| 90D43 | Games involving graphs | 91A43 |
| 90D44 | Games involving topology or set theory | 91A44 |
| 90D46 | Combinatorial games | 91A46 |
| 90D50 | Discrete-time games | 91A50 |
| 90D55 | Games of timing | 91A55 |
| 90D60 | Probabilistic games; gambling | 91A60 |
| 90D65 | Hierarchical games | 91A65 |
| 90D70 | Spaces of games | 91A70 |
| 90D80 | Applications of game theory | 91A80 |
| 90D99 | {None of the above, but in this section} | 91A99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 92GXX | Social and behavioral sciences: methodology | 91Cxx |
| 92G05 | Measurement theory | 91C05 |
| 92G15 | One- and multidimensional scaling | 91C15 |
| 92G20 | Test theory | 91C99 |
| 92G25 | Questionnaire analysis | 91C99, 94A50 |
| 92G30 | Clustering | 91C20 |
| 92G40 | Q-analysis | 91C99 |
| 92G99 | {None of the above, but in this section} | 91C99 |
| 92HXX | Mathematical sociology (including anthropology) | 91Dxx |
| 92H10 | Models of societies, social and urban evolution | 91D10 |
| 92H20 | Mathematical geography and demography | 91D20 |
| 92H25 | Spatial models | 91D25 |
| 92H30 | Social networks | 91D30 |
| 92H35 | Manpower systems | 91D35 |
| 92H99 | {None of the above, but in this section} | 91D99 |
| 92JXX | Mathematical psychology | 91Exx |
| 92J10 | Cognitive psychology | 91E10 |
| 92J30 | Psychophysics and psychophysiology; perception | 91E30 |
| 92J40 | Memory and learning | 91E40 |
| 92J45 | Measurement and performance | 91E45 |
| 92J99 | {None of the above, but in this section} | 91E99 |
| 92KXX | Other social and behavioral sciences (mathematical treatment) | 91Fxx |
| 92K10 | History, political science | 91F10 |
| 92K20 | Linguistics | 91F20 |
| 92K99 | {None of the above, but in this section} | 91F99 |
|
Invalid |
1991 MSC |
MSC2000 |
|---|
| 93A20 | Cascaded systems | 93A14, 93A13 |
| 93A25 | Input-output systems | 93A10, 93A99 |
| 93B06 | Relations between controllability and optimal solutions | 93B05, 49J15 |
| 93C22 | Systems governed by integral equations | 93C30 |
| 93C45 | Time-invariant | 93C05 |
| 93C50 | Time-dependent | 93C05 |
| 93C60 | Continuous-time | 93C05, 93C10 |
| 93C90 | Random disturbances in control systems | 93C41, 93E10 |
| 93D22 | Interrelations between stability problems and optimization problems | 93D05, 49J15 |
| 93E05 | Stochastic games, stochastic differential games | 91A15 |
| 93E23 | Stochastic gradient methods | 93E25 |
| 93E30 | Computer simulations of stochastic systems | 93E99 |