series, $_pF_q$ # generalized hypergeometric    33C20  
series, auto-correlation, regression, etc. # time    62M10  
series, central series, and generalizations # derived    20F14  
series, etc.) # approximation to limiting values (summation of    40A25  
series, over-convergence # boundary behavior of power    30B30  
series, periods of modular forms, cohomology, modular symbols # special values of automorphic $L$-   11F67  
series, series of functions # power    32A05  
series, transformations, transforms, operational calculus, etc. # analytical theory:    34A25  
series; Weil representation # theta    11F27  
Serre spectral sequences   55T10  
service # queues and    90B22  
set (change of topology, comparison of topologies, lattices of topologies) # several topologies on one    54A10  
set functions # integration with respect to measures and other    28A25  
set functions # real- or complex-valued    28A10  
set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)   28C20  
set functions and measures on spaces with additional structure   28Cxx  
set functions and measures on topological groups, Haar measures, invariant measures   28C10  
set functions and measures on topological spaces (regularity of measures, etc.)   28C15  
set functions and measures; integration of set-valued functions; measurable selections # set-valued    28B20  
set functions, measures and integrals # group- or semigroup-valued    28B10  
set functions, measures and integrals # vector-valued    28B05  
set functions, measures and integrals with values in abstract spaces   28Bxx  
set functions, measures and integrals with values in ordered spaces   28B15  
set recursion theory # higher-type and    03D65  
set theories # nonclassical and second-order    03E70  
set theory   511.322  
set theory   03Exx  
set theory # applications of    03E75  
set theory # descriptive    03E15  
set theory # extremal    05D05  
set theory # fuzzy    03E72  
set theory # games involving topology or    91A44  
set theory # models of arithmetic and    03C62  
set theory # other combinatorial    03E05  
set theory # other connections with logic and    28E15  
set theory (including functions, relations, and set algebra) # other classical    03E20  
set theory (topological aspects of Borel, analytic, projective, etc. sets) # descriptive    54H05  
set theory and its fragments # axiomatics of classical    03E30  
set topology (general topology) # point    514.322  
set valued and function-space valued mappings   58C06  
set-theoretic definability # other notions of    03E47  
set-theoretic model theory   03C55  
set-valued and variational analysis   49J53  
set-valued functions   26E25  
set-valued functions; measurable selections # set-valued set functions and measures; integration of    28B20  
set-valued maps   54C60  
set-valued operators   47H04  
set-valued set functions and measures; integration of set-valued functions; measurable selections   28B20  
set; bifurcations # holomorphic families of dynamical systems; the Mandelbrot    37F45  
sets   511.32  
sets # algebra of    511.324  
sets # approximation by convex    52A27  
sets # attainable    93B03  
sets # combinatorics of partially ordered    06A07  
sets # convex    516.08  
sets # gradient-like and recurrent behavior; isolated (locally-maximal) invariant    37B35  
sets # hyperbolic orbits and    37D05  
sets # inertial manifolds and other invariant attracting    37L25  
sets # infinite nonwandering    37G30  
sets # logic on admissible    03C70  
sets # ordered    06Axx  
sets # partitions of    05A18  
sets # real algebraic    14P05  
sets # real analytic and semianalytic    14P15  
sets # removable    32U30  
sets # representation of semigroups; actions of semigroups on    20M30  
sets # representations of quivers and partially ordered    16G20  
sets # semi-analytic sets and subanalytic    32B20  
sets # sequences and    11Bxx  
sets # spectral    47A25  
sets # stratified    58A35  
sets # wave front    35A18  
sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets # classes of    28A05  
sets (number-theoretic, group-theoretic, etc.) # difference    05B10  
sets (star-shaped, ($m,n$)-convex, etc.) # variants of convex    52A30  
sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) # special    43A46  
sets and cones of operators # convex    47L07  
sets and degrees # recursively (computably) enumerable    03D25  
sets and functions # classification of real functions; Baire classification of    26A21  
sets and geometry of numbers (covering radius, etc.) # applications of the theory of convex    94B75  
sets and integral geometry # random convex    52A22  
sets and logic # fuzzy    94D05  
sets and related spaces # semialgebraic    14P10  
sets and spaces, currents # integration on analytic    32C30  
sets and structures, isols # recursive equivalence types of    03D50  
sets and subanalytic sets # semi-analytic    32B20  
sets and their cofinalities; pcf theory # ordered    03E04  
sets defined by functions # special    54C50  
sets in $2$ dimensions (including convex curves) # convex    52A10  
sets in $3$ dimensions (including convex surfaces) # convex    52A15  
sets in $n$ dimensions (including convex hypersurfaces) # convex    52A20  
sets in topological linear spaces; Choquet theory # convex    46A55  
sets in topological vector spaces # convex    52A07  
sets of functions # completeness of    42A65  
sets of functions # completeness of    42C30  
sets of holomorphic functions # zero    32A60  
sets of sentences # decidability of theories and    03B25  
sets of sentences # undecidability and degrees of    03D35  
sets with a single binary operation (groupoids)   20N02  
sets without dimension restrictions # convex    52A05  
sets, characterizations # category of    18B05  
sets, complex Nash functions # real-analytic    32C07  
sets, independent sets, cliques # dominating    05C69  
sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) # special sets (thin    43A46  
sets, local parametrization # germs of analytic    32B10  
sets, ovals, $k$-arcs # blocking    51E21  
sets, prime ends, boundary behavior # cluster    30D40  
sets, simplicial objects (in a category) # simplicial    18G30  
setting # variational problems in a geometric measure-theoretic    49Q20  
several complex variables # functions of    515.94  
several complex variables # general theory of automorphic functions of    32N05  
several complex variables # harmonic analysis of    32A50  
several complex variables # heat kernels in    32W30  
several complex variables # holomorphic functions of    32Axx  
several complex variables # pseudodifferential operators in    32W25  
several complex variables and analytic spaces   32-XX  
several real variables # functions of    515.84  
several topologies on one set (change of topology, comparison of topologies, lattices of topologies)   54A10  
several variables # differential operators in    32Wxx  
several variables # Fourier analysis in    42Bxx  
several variables # functions of    26Bxx  
several variables # other basic hypergeometric functions and integrals in    33D70  
several variables # other hypergeometric functions and integrals in    33C70  
several variables expressible in terms of basic hypergeometric functions in one variable # orthogonal polynomials and functions in    33D50  
several variables expressible in terms of special functions in one varaible # orthogonal polynomials and functions in    33C50  
several variables) # Hecke - Petersson operators, differential operators (   11F60  
several variables) # other groups and their modular and automorphic forms (   11F55  
several variables, H\"older conditions, etc. # special properties of functions of    26B35  
several variables; Yang - Mills functionals # application to extremal problems in    58E15  
several-variable operator theory (spectral, Fredholm, etc.)   47A13  
sexadecimal (hexadecimal, base 16) system   513.57  
Shannon theory) # coding theorems (   94A24  
shape groups   55Q07  
shape theory   54C56  
shape theory   55P55  
shapes   57N25  
shapes other than minimal surfaces # optimization of    49Q10  
sharing # authentication and secret    94A62  
Shaw flows # other free-boundary flows; Hele -    76D27  
sheaf cohomology   55N30  
sheaf theory and homological algebra in PDE # microlocal methods; methods of    35A27  
shear flows   76F10  
shear flows # parallel    76E05  
sheaves # differentials and other special    14F10  
sheaves # presheaves and    18F20  
sheaves # presheaves and    54B40  
sheaves and cohomology groups # analytic    32C35  
sheaves and cohomology of sections of holomorphic vector bundles, general results   32L10  
sheaves of differential operators and their modules, $D$-modules   32C38  
sheaves; intersection cohomology # stratifications; constructible    32S60  
shell model   539.743  
shellability   52B22  
shells   74K25  
shift register sequences and sequences over finite alphabets   94A55  
shifts of finite type, tiling dynamics # multi-dimensional    37B50  
shifts, operators on sequence spaces, etc.) # operators on special spaces (weighted    47B37  
Shimura varieties # arithmetic aspects of modular and    11G18  
Shimura varieties # modular and    14G35  
ship waves   76B20  
Shnirel'man) category of a space # Ljusternik - Schnirelman (Lyusternik -    55M30  
Shnirel'man) theory, etc.) # abstract critical point theory (Morse theory, Ljusternik - Schnirelman (Lyusternik -    58E05  
shock waves and blast waves   76L05  
shocks and related discontinuities   74J40  
shocks and singularities   35L67  
short waves   537.5343  
shrinkage estimators # ridge regression;    62J07  
sides # PDE with multivalued right-hand    35R70  
Siegel modular groups and their modular and automorphic forms   11F46  
Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces # Hilbert and Hilbert -    11F41  
sieve methods # applications of    11N36  
sieves   11N35  
signal detection, filtering, etc.) # applications (   60G35  
signal processing # biomedical imaging and    92C55  
signal theory (characterization, reconstruction, etc.)   94A12  
signaling, communication   91A28  
signed, gain and biased graphs   05C22  
similar constructions # adjunction spaces and    54B17  
similar kinds of) spaces of functions of discrete variables # Sobolev (and    46E39  
similarity # dimensional analysis and    76M55  
simple algebraic and geometric progressions   512.93  
simple and nonsolvable groups # classification of    20D05  
simple and semisimple modules, primitive rings and ideals   16D60  
simple groups   20E32  
simple groups # relationship to Lie algebras and finite    11F22  
simple groups: alternating groups and groups of Lie type   20D06  
simple groups: sporadic groups   20D08  
simple homotopy type, Whitehead torsion, Reidemeister - Franz torsion, etc.   57Q10  
simple rings (except as in 16Kxx) # infinite-dimensional    16D30  
simple, semisimple algebras   17C20  
simple, semisimple, reductive (super)algebras (roots)   17B20  
simplicial complexes # Face and Stanley - Reisner rings;    13F55  
simplicial sets, simplicial objects (in a category)   18G30  
simplification # system structure    93B11  
simulation   658.40352  
simulation   37M05  
simulation   68U20  
simulation # computer medeling and    003.3  
simulation # general methods of    00A72  
simulation and numerical modeling   81T80  
simulation of turbulence # direct numerical and large eddy    76F65  
simulation) # mathematical models (mathematical    511.8  
simultaneous approximation   41A28  
simultaneous homogeneous approximation, linear forms   11J13  
sine and cosine functions and higher-order Cauchy problems # operator    47D09  
single binary operation (groupoids) # sets with a    20N02  
single equations   65H05  
single-stage programming   519.702  
singly generated operator algebras # dual algebras; weakly closed    47L45  
singular functions, Cantor functions, functions with other special properties   26A30  
singular integral equations   45Exx  
singular integrals   32A55  
singular integrals (Caldersn - Zygmund, etc.)   42B20  
singular linear integral equations # systems of    45F15  
singular nonlinear boundary value problems   34B16  
singular nonlinear integral equations   45G05  
singular perturbation problems in the complex domain (complex WKB, turning points, steepest descent)   34M60  
singular perturbations   34D15  
singular perturbations   34K26  
singular perturbations   35B25  
singular perturbations # time-scale analysis and    93C70  
singular perturbations, general theory   34E15  
singular perturbations, turning point theory, WKB methods   34E20  
singular points # bifurcations of    37G10  
singular points with homoclinic trajectories # hyperbolic    37G20  
singular theory   55N10  
singular varieties # mixed Hodge theory of    32S35  
singularities   14B05  
singularities   14J17  
singularities   32Sxx  
singularities # deformation of    58K60  
singularities # deformations of    14B07  
singularities # fiberings with    55R55  
singularities # global theory and resolution of    14E15  
singularities # local    32S05  
singularities # modifications; resolution of    32S45  
singularities # other operations on    32S70  
singularities # propagation of    35A21  
singularities # removable    32D20  
singularities # shocks and    35L67  
singularities # surface and hypersurface    32S25  
singularities (billiards, etc.) # hyperbolic systems with    37D50  
singularities and catastrophe theory # theory of    58Kxx  
singularities of differentiable mappings   57R45  
singularities of holomorphic vector fields and foliations   32S65  
singularities of vector fields, topological aspects   58K45  
singularities, blowup, stress concentrations   74H35  
singularities, cosmic censorship, etc. # space-time    83C75  
singularities, local rings   14H20  
singularities, monodromy, local behavior of solutions, normal forms   34M35  
singularities; cohomological properties # global theory of    32S20  
singularities; initial value problems # propagation of    58J47  
singularities; vanishing cycles # deformations of    32S30  
singularity of induced measures # continuity and    60G30  
Sitnikov homologies # Steenrod -    55N07  
skepticism   149.73  
sketches and generalizations   18C30  
skew fields, division rings   12E15  
skew group rings, crossed products # twisted and    16S35  
skew polynomial rings and semigroup rings # ordinary and    16S36  
skew'') structure # super'' (or ``   16W55  
slow and fast motions # systems with    70K70  
Smale systems # Morse -    37D15  
small categories in which all morphisms are isomorphisms) # groupoids (i.e.    20L05  
small deformations superposed on large) # equations linearized about a deformed state (   74B15  
small divisors, rotation domains and linearization; Fatou and Julia sets   37F50  
small fractional parts of polynomials and generalizations   11J54  
small-strain, rate-dependent theories (including theories of viscoplasticity)   74C10  
small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)   74C05  
smart materials'') # control, switches and devices (``   74M05  
smash products of general Hopf actions   16S40  
Smith theory) # finite groups of transformations (including    55M35  
smooth approximations   57R12  
smooth dynamical systems # nonautonomous    37C60  
smooth dynamical systems: general theory   37Cxx  
smooth ergodic theory, invariant measures   37C40  
smooth mappings and diffeomorphisms   37C05  
smooth'' functions, embedding theorems, trace theorems # Sobolev spaces and other spaces of ``   46E35  
smoothing   57R10  
smoothing # data    93E14  
smoothing, curve fitting   65D10  
smoothness and regularity of solutions of PDE   35B65  
SO-cobordism # O- and    57R75  
Sobolev (and similar kinds of) spaces of functions of discrete variables   46E39  
Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems   46E35  
social and behavioral sciences (mathematical treatment) # other    91Fxx  
social and behavioral sciences: methodology   91Cxx  
social and ecclesiastical theology # christian    260  
social choice   91B08  
social mobility, learning theory, industrial processes, etc.) # applications of discrete Markov processes (   60J20  
social networks   91D30  
social sciences   300  
social sciences # applications to    62P25  
social theologies and interreligious relations and attitudes   291.17  
social theology and interreligious relations and attitudes   261  
societies, social and urban evolution # models of    91D10  
sociological aspects of learning (culture, group interactions, equity issues, etc.)   97C60  
sociological issues   97A40  
sociology (and profession) of mathematics   01A80  
sociology (including anthropology) # mathematical    91Dxx