mechanics and problems of quantization # general quantum    81Sxx  
mechanics of deformable solids   74-XX  
mechanics of particles and systems   70-XX  
mechanics of solids # generalities, axiomatics, foundations of continuum    74Axx  
mechanics type models; percolation theory # interacting random processes; statistical    60K35  
mechanics with other effects # coupling of solid    74Fxx  
mechanics, general relativity, laser physics) # dynamical systems in other branches of physics (quantum    37N20  
mechanics, regularization # collisions in celestial    70F16  
mechanics, structure of matter # statistical    82-XX  
mechanics; quantum logic # logical foundations of quantum    81P10  
mechanisms, robots   70B15  
mechanization of proofs and logical operations   03B35  
media and their use in instruction # audiovisual    97U80  
media with periodic structure # homogenization; partial differential equations in    35B27  
media, disordered materials (including liquid crystals and spin glasses) # random    82D30  
media. educational technology # educational material and    97Uxx  
media; filtration; seepage # flows in porous    76S05  
medical applications (general)   92C50  
medical epidemiology   92C60  
medical sciences # applications to biology and    62P10  
medical topics # physiological, cellular and    92Cxx  
medicine. pharmacy # biology. chemistry.    97M60  
medieval   01A35  
Medieval) # Islam (   01A30  
membranes   74K15  
memory (including elastic materials with viscous damping, various viscoelastic materials) # materials of strain-rate type and history type, other materials with    74Dxx  
memory and learning   91E40  
mental arithmetic # natural numbers and operations on natural numbers. place value. pencil and paper arithmetic,    97F30  
meromorphic functions   515.982  
meromorphic functions   32A20  
meromorphic functions # polynomials; rational maps; entire and    37F10  
meromorphic functions, and related topics # entire and    30Dxx  
meromorphic functions, general theory   30D30  
meromorphic mappings   32H04  
meromorphic ones) # functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and    47A56  
meromorphic solutions # entire and    34M05  
mesh generation and refinement   65L50  
mesh generation and refinement   65M50  
mesh generation and refinement   65N50  
metabelian extensions # other Abelian and    11R20  
metals   82D35  
metamathematical considerations   20A10  
metamathematics of constructive systems   03F50  
metamathematics. philosophical aspects of mathematical epistemology   97E20  
meteorology # dynamical systems in fluid mechanics and    37N10  
meteorology and atmospheric physics   86A10  
methodologies and applications # computing    68Uxx  
methodology # social and behavioral sciences:    91Cxx  
methodology and foundations) # statistical inference (methods, non-parametric methods, robustness, Bayesian approach,    97K70  
methodology of mathematical research # comprehensive works on the foundations of mathematics and their teaching.    97E10  
methodology of mathematics, didactics   00A35  
methodology; applicable to economics in general) # fundamental topics (basic mathematics,    91B02  
methods. acquisition of mathematical concepts # language of mathematics. formalization. defining. axiomatics and axiomatic    97E40  
methods. reasoning and proving in the mathematics classroom # proof    97E50  
metric # operators on spaces with an indefinite    47B50  
metric differential geometries   516.37  
metric geometry   51Fxx  
metric linear spaces # functional analysis in probabilistic    46S50  
metric linear spaces # operator theory in probabilistic    47S50  
metric spaces   514.325  
metric spaces # compact (locally compact)    54E45  
metric spaces # complete    54E50  
metric spaces # probabilistic    54E70  
metric spaces # special maps on    54E40  
metric spaces, metrizability   54E35  
metric taking values in an ordered structure more general than ${\bf R}$, etc.) # other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a    46A19  
metric theory   11J83  
metric theory of algorithms # probabilistic theory: distribution modulo $1$;    11Kxx  
metric theory of continued fractions   11K50  
metric theory of other algorithms and expansions; measure and Hausdorff dimension   11K55  
metrics # critical    58E11  
metrics # Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and    37K65  
metrics # Lorentz manifolds, manifolds with indefinite    53C50  
metrics # Lorentz metrics, indefinite    53B30  
metrics (especially Riemannian) # manifolds of    58D17  
metrics (hyperbolic, Poincar\'e, distance functions) # conformal    30F45  
metrics and pseudodistances # invariant    32F45  
metrics on vector bundles (Hermite - Einstein - Yang - Mills) # special connections and    53C07  
metrics with symmetries # classes of solutions; algebraically special solutions,    83C20  
metrics) # Finsler spaces and generalizations (areal    53B40  
metrics) # Finsler spaces and generalizations (areal    53C60  
metrics, indefinite metrics # Lorentz    53B30  
metrics, requirements, etc.) # mathematical aspects of software engineering (specification, verification,    68N30  
metrizability # metric spaces,    54E35  
metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) # not locally convex spaces (   46A16  
microbundles and block bundles   55R60  
microbundles and block bundles   57N55  
microbundles and block bundles   57Q50  
microlocal methods; methods of sheaf theory and homological algebra in PDE   35A27  
micromechanical theories   74A60  
micromechanics   74M25  
microstructure # analysis of    74N15  
Mikusinski and other operational calculi # calculus of    44A40  
Mills and other gauge theories # Yang -    70S15  
Mills and other gauge theories # Yang -    81T13  
Mills functionals # application to extremal problems in several variables; Yang -    58E15  
Mills) # special connections and metrics on vector bundles (Hermite - Einstein - Yang -    53C07  
Milman and related properties # Radon - Nikodym, Kreuin -    46B22  
Milnor $K$-theory # higher symbols,    19D45  
Milnor fibration; relations with knot theory   32S55  
minima # maxima and    511.66  
minima of forms   11H50  
minimal model program (Mori theory, extremal rays)   14E30  
minimal surfaces   49Q05  
minimal surfaces # optimization of shapes other than    49Q10  
minimal surfaces (problems in two independent variables) # applications to    58E12  
minimal surfaces, surfaces with prescribed mean curvature   53A10  
minimal systems representations   93B20  
minimal, prescribed curvature, tight, etc.) # immersions (   53C42  
minimality, distality, proximality, etc.) # transformations and group actions with special properties (   37B05  
minimax problems   49J35  
minimax problems   49K35  
minimax problems   90C47  
minimax procedures   62C20  
minimization # energy    74G65  
Minkowski geometries   51B20  
Minkowski geometry   516.374  
minors # graph    05C83  
mirror symmetry # Calabi - Yau manifolds,    14J32  
miscellaneous   97E70  
miscellaneous # general and    16Bxx  
miscellaneous (e.g. experimental mathematics)   97N90  
miscellaneous (e.g. sport)   97M90  
miscellaneous (e.g.: algebraic topology, algebraic geometry)   97H70  
miscellaneous (e.g.: convex sets, packings, coverings, tessellations, non-euclidean geometries, finite geometries)   97G90  
miscellaneous (e.g.: functional analysis, set theoretical topology, catastrophe theory, non-standard analysis, fractals, chaos theory)   97I90  
miscellaneous applications of $K$-theory   19M05  
miscellaneous applications of functional analysis   46Nxx  
miscellaneous applications of number theory   11Z05  
miscellaneous applications of operator theory   47Nxx  
miscellaneous inequalities involving matrices   15A45  
miscellaneous special kernels   45H05  
miscellaneous specific content # collections of articles of    00B15  
miscellaneous specific interest # proceedings of conferences of    00B25  
miscellaneous specific topics # general and    00Axx  
miscellaneous topics   00A99  
miscellaneous topics   01A99  
miscellaneous topics   15A99  
miscellaneous topics   26Exx  
miscellaneous topics   41A99  
miscellaneous topics   43A99  
miscellaneous topics   44A99  
miscellaneous topics   49Nxx  
miscellaneous topics   78A99  
miscellaneous topics   82B99  
miscellaneous topics   85A99  
miscellaneous topics   86A99  
miscellaneous topics in measure theory   28Exx  
miscellaneous topics involving partial differential equations   35Rxx  
miscellaneous topics of analysis in the complex domain   30Exx  
miscellaneous volumes of translations   00B55  
misconceptions, cognitive development, problem solving, etc.) # student learning and thinking (   97C30  
Mittag-Leffler functions and generalizations   33E12  
mixed equations   515.38  
mixed groups   20K21  
mixed Hodge theory of singular varieties   32S35  
mixed integer programming   90C11  
mixed topologies, two-norm spaces, co-Saks spaces, etc.) # Saks spaces and their duals (strict topologies,    46A70  
mixed type # PDE of    35M10  
mixed volumes and related topics   52A39  
mixed, composite, etc.) # partial differential equations of special type (   35Mxx  
mixing # ergodicity, mixing, rates of    37A25  
mixing # turbulent transport,    76F25  
mixing, rates of mixing # ergodicity,    37A25  
mixture effects   74F20  
mixture problems (e.g. proportional quantities, inversely proportional quantities) # ratio and proportion. rule of three. percentages and calculation of interest.    97F80  
mixture properties # composite and    74E30  
mobility, learning theory, industrial processes, etc.) # applications of discrete Markov processes (social    60J20  
mod $m$) # sequences (   11B50  
modal analysis   70J10  
modal logic   03B45  
model checking, etc.) # specification and verification (program logics,    68Q60  
model classes # axiomatic    08C10  
model completeness and related topics # quantifier elimination,    03C10  
model constructions # other    03C30  
model program (Mori theory, extremal rays) # minimal    14E30  
model quantum field theories   81T10  
model theory   511.34  
model theory   03Cxx  
model theory   11U09  
model theory   12L12  
model theory # abstract    03C95  
model theory # applications of    03C98  
model theory # effective and recursion-theoretic    03C57  
model theory # other classical first-order    03C68  
model theory # second- and higher-order    03C85  
model theory # set-theoretic    03C55  
model theory of ordered structures; o-minimality   03C64  
model-matching, etc.) # mathematical modeling (models of systems,    93A30  
model-theoretic algebra   03C60  
model-theoretic forcing   03C25  
modeling # k-epsilon    76F60  
modeling # simulation and numerical    81T80  
modeling # statistical turbulence    76F55  
modeling # theory of mathematical    00A71  
modeling (models of systems, model-matching, etc.) # mathematical    93A30  
modeling of curves and surfaces) # computer aided design (   65D17  
modelling, applications of mathematics # mathematical    97Mxx  
models # censored data    62N01  
models # channel    94A40  
models # descriptive complexity and finite    68Q19  
models # dynamic economic models, growth    91B16  
models # exactly solvable dynamic    82C23  
models # game-theoretic    91A40  
models # general economic models, trade    91B15  
models # generalized linear    62J12  
models # inner models, including constructibility, ordinal definability, and core    03E45  
models # matching    91B18  
models # multisectoral    91B17  
models # nonstandard    03Hxx  
models # other aspects of forcing and Boolean-valued    03E40  
models # production    90B30  
models # properties of classes of    03C52  
models # spatial    91B25  
models # spatial    91D25  
models # stochastic    91B21  
models (auctions, bargaining, bidding, selling, etc.) # market    91B60  
models (Boolean-valued, sheaf, etc.) # nonclassical    03C90  
models (economics, physics, etc.) # other applications of nonstandard    03H10  
models (mathematical simulation) # mathematical    511.8  
models (monetary models, models of taxation) # macro-economic    91B70  
models (systems of particles, etc.) # continuum    82B21  
models (systems of particles, etc.) # dynamic continuum    82C21  
models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)   68Q85  
models for contractions and nonselfadjoint operators # canonical    47A45  
models in mathematics # nonstandard    03H05  
models of arithmetic # nonstandard    03H15  
models of arithmetic and set theory   03C62  
models of communication, encoding schemes, etc.) # coding and information theory (compaction, compression,    68P30  
models of computation (Turing machines, etc.)   68Q05  
models of other mathematical theories   03C65  
models of real-world systems; general macro-economic models, etc.   91B58  
models of societies, social and urban evolution   91D10  
models of systems, model-matching, etc.) # mathematical modeling (   93A30  
models of taxation) # macro-economic models (monetary models,    91B70  
models with special properties (saturated, rigid, etc.)   03C50  
models, approaches, and methods # general    70Gxx  
models, deterministic # network    90B10  
models, etc. # models of real-world systems; general macro-economic    91B58  
models, growth models # dynamic economic    91B16  
models, harvesting, pollution, etc.) # environmental economics (natural resource    91B30  
models, including constructibility, ordinal definability, and core models # inner    03E45  
models, models of taxation) # macro-economic models (monetary    91B70  
models, numerical methods   65C20  
models, random Schr\"odinger operators, etc.) # disordered systems (random Ising    82B44  
models, stochastic # network    90B15  
models, trade models # general economic    91B15  
models; Bethe ansatz # exactly solvable    82B23  
models; economic indexes and measures # statistical    91B19  
models; percolation theory # interacting random processes; statistical mechanics type    60K35  
modern geometry   516.04  
modes # nonlinear    70K75  
modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)   68Q10  
modes of convergence # measurable and nonmeasurable functions, sequences of measurable functions,    28A20  
modifications; resolution of singularities   32S45  
modular and $p$-adic modular forms # congruences for    11F33  
modular and automorphic forms # Siegel modular groups and their    11F46  
modular and automorphic forms (several variables) # other groups and their    11F55  
modular and automorphic forms; Hilbert modular surfaces # Hilbert and Hilbert - Siegel modular groups and their    11F41  
modular and automorphic functions   11F03  
modular and Shimura varieties   14G35  
modular and Shimura varieties # arithmetic aspects of    11G18  
modular correspondences, etc.   11F32  
modular forms # congruences for modular and $p$-adic    11F33  
modular forms # Dirichlet series and functional equations in connection with    11F66  
modular forms # forms of half-integer weight; nonholomorphic    11F37  
modular forms # moduli, classification: analytic theory; relations with    14J15  
modular forms associated to Drinfel'd modules   11F52  
modular forms, cohomology, modular symbols # special values of automorphic $L$-series, periods of    11F67  
modular forms, one variable   11F11  
modular geometry   516.185  
modular groups and generalizations; arithmetic groups # structure of    11F06  
modular groups and their modular and automorphic forms # Siegel    11F46  
modular groups and their modular and automorphic forms; Hilbert modular surfaces # Hilbert and Hilbert - Siegel    11F41  
modular lattices, complemented lattices   06Cxx  
modular lattices, continuous geometries # complemented    06C20  
modular lattices, Desarguesian lattices   06C05  
modular Lie (super)algebras   17B50  
modular representations and characters   20C20  
modular spaces   46A80  
modular surfaces # Hilbert and Hilbert - Siegel modular groups and their modular and automorphic forms; Hilbert    11F41  
modular symbols # special values of automorphic $L$-series, periods of modular forms, cohomology,    11F67  
modular units # elliptic and    11G16  
modularity, congruence distributivity # congruence    08B10  
modulation and demodulation   94A14  
modulation schemes (including trellis codes) # combined    94B12  
module categories   16D90  
module categories # maximal ring of quotients, torsion theories, radicals on    16S90  
module structure of rings of integers # integral representations related to algebraic numbers; Galois    11R33  
module theory # general    16D10  
modules # $C^*$-   46L08  
modules # Artinian rings and    16P20  
modules # Cohen - Macaulay    13C14  
modules # Cohen - Macaulay    16G50  
modules # graded rings and    16W50  
modules # group rings of finite groups and their    20C05  
modules # group rings of infinite groups and their    20C07  
modules # modular forms associated to Drinfel'd    11F52