series of trigonometric and other functions; Riesz products # lacunary    42A55  
series resummation, etc.) # numerical methods (Monte_Carlo,    82B80  
series resummation, etc.) # numerical methods (Monte_Carlo,    82C80  
series rings # formal power    13F25  
series rings # power    13J05  
series solutions, expansion theorems   35C10  
series) # power series (including lacunary    30B10  
series) # series expansions (e.g. Taylor, Lidstone series, but not Fourier    41A58  
series, $_pF_q$ # generalized hypergeometric    33C20  
series, and generalizations # derived series, central    20F14  
series, auto-correlation, regression, etc. # time    62M10  
series, but not Fourier series) # series expansions (e.g. Taylor, Lidstone    41A58  
series, central series, and generalizations # derived    20F14  
series, etc.) # analytic approximation of solutions (perturbation methods, asymptotic methods,    74G10  
series, etc.) # analytic approximation solutions (perturbation methods, asymptotic methods,    74H10  
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, singular integrals # conjugate functions, conjugate    42A50  
series, summability # sequences,    40-XX  
series, transformations, transforms, operational calculus, etc. # analytical theory:    34A25  
series; Weil representation # theta    11F27  
Serre spectral sequences   55T10  
server # client/   C.2.4.a  
server, pipeline, blackboard) # patterns (e.g., client/   D.2.11.e  
servers   C.5.5  
service # queues and    90B22  
serviceability # reliability, availability, and    C.4.-.f  
services # commercial    H.3.5.a  
services # online information    H.3.5  
services # user profiles and alert    H.3.4.f  
services # web-based    H.3.5.c  
services digital network) # ISDN (integrated    C.2.1.f  
sesquilinear, multilinear) # forms (blilinear,    47A07  
set # fuzzy    I.5.1.b  
set (change of topology, comparison of topologies, lattices of topologies) # several topologies on one    54A10  
set algebra) # other classical set theory (including functions, relations, and    03E20  
set contractions, etc.) # nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-   47H09  
set design (e.g., RISC, CISC, VLIW) # instruction    C.0.-.b  
set functions # abstract differentiation theory, differentiation of    28A15  
set functions # integration with respect to measures and other    28A25  
set functions # real- or complex-valued    28A10  
set functions and measures # integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing    28C05  
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 interpretation # instruction    B.1.5.c  
set recursion theory # higher-type and    03D65  
set theories # nonclassical and second-order    03E70  
set theory   F.4.1.j  
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 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 # approximation by convex    52A27  
sets # attainable    93B03  
sets # classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic    28A05  
sets # combinatorics of partially ordered    06A07  
sets # firmware support of operating systems/instruction    B.1.5.b  
sets # geometric probability, stochastic geometry, random    60D05  
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 # small divisors, rotation domains and linearization; Fatou and Julia    37F50  
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 homotopy classes # homotopy groups, general;    55Q05  
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) # classes defined by grammars or automata (e.g., context-free languages, regular sets, recursive    F.4.3.b  
sets) # descriptive set theory (topological aspects of Borel, analytic, projective, etc.    54H05  
sets, \Ore localization # \Ore rings, multiplicative    16U20  
sets, analytic sets # classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin    28A05  
sets, characterizations # category of    18B05  
sets, cliques # dominating sets, independent    05C69  
sets, complex Nash functions # real-analytic    32C07  
sets, Ditkin sets, Sidon sets, etc.) # special sets (thin sets, Kronecker sets, Helson    43A46  
sets, etc. # computability and recursion theory on ordinals, admissible    03D60  
sets, etc. # topological aspects: intersection cohomology, stratified    35S35  
sets, etc.) # special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon    43A46  
sets, Helson sets, Ditkin sets, Sidon sets, etc.) # special sets (thin sets, Kronecker    43A46  
sets, ideals, rings # nil and nilpotent radicals,    16N40  
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, recursive sets) # classes defined by grammars or automata (e.g., context-free languages, regular    F.4.3.b  
sets, Sidon sets, etc.) # special sets (thin sets, Kronecker sets, Helson sets, Ditkin    43A46  
sets, simplicial objects (in a category) # simplicial    18G30  
sets, Suslin sets, analytic sets # classes of sets (Borel fields, $\sigma$-rings, etc.), measurable    28A05  
setting # variational problems in a geometric measure-theoretic    49Q20  
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 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 # implicit function theorems, Jacobians, transformations with    26B10  
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  
shading   I.4.8.h  
shading, shadowing, and texture # color,    I.3.7.b  
shadowing, and texture # color, shading,    I.3.7.b  
shadowing, etc.) # approximate trajectories (pseudotrajectories,    37C50  
shafts, arches, rings, etc.) # rods (beams, columns,    74K10  
Shannon theory) # coding theorems (   94A24  
shape   I.2.10.h  
shape   I.4.8.i  
shape # size and    I.4.7.e  
shape groups   55Q07  
shape theory   54C56  
shape theory   55P55  
shapes   57N25  
shapes other than minimal surfaces # optimization of    49Q10  
shared memory   B.3.2.g  
shareware # freeware/   K.8.1.c  
sharing # authentication and secret    94A62  
sharing # data    H.3.5.b  
sharpening and deblurring   I.4.3.e  
Shaw flows # other free-boundary flows; Hele -    76D27  
sheaf and bundle theory, etc.) # methods of algebraic topology (cohomology,    46M20  
sheaf cohomology   55N30  
sheaf theory and homological algebra in PDE # microlocal methods; methods of    35A27  
sheaf, etc.) # nonclassical models (Boolean-valued,    03C90  
shear flows   76F10  
shear flows # parallel    76E05  
sheaves # differentials and other special    14F10  
sheaves # divisors, linear systems, invertible    14C20  
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 of rings # rings of functions, subdirect products,    16S60  
sheaves, related construction # vector bundles,    14F05  
sheaves; intersection cohomology # stratifications; constructible    32S60  
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  
shorted operators, etc. # operator means,    47A64  
shortest paths, etc.) # combinatorial properties (number of faces,    52B05  
shrinkage estimators # ridge regression;    62J07  
sides # PDE with multivalued right-hand    35R70  
Sidon sets, etc.) # special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets,    43A46  
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 analysis, synthesis, and processing   H.5.5.c  
signal detection, filtering, etc.) # applications (   60G35  
signal processing   I.5.4.b  
signal processing # biomedical imaging and    92C55  
signal processing systems   C.3.-.d  
signal theory (characterization, reconstruction, etc.)   94A12  
signaling, communication   91A28  
signed, gain and biased graphs   05C22  
SIMD) # single-instruction-stream, multiple-data-stream processors (   C.1.2.h  
similar constructions # adjunction spaces and    54B17  
similar kinds of) spaces of functions of discrete variables # Sobolev (and    46E39  
similarity # dimensional analysis and    76M55  
similarity measures   I.5.3.b  
Simons invariants # eta-invariants, Chern -    58J28  
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 spaces # homotopy groups of wedges, joins, and    55Q20  
simple, semisimple algebras   17C20  
simple, semisimple, reductive (super)algebras (roots)   17B20  
simplicial complexes # Face and Stanley - Reisner rings;    13F55  
simplicial objects (in a category) # simplicial sets,    18G30  
simplicial sets, simplicial objects (in a category)   18G30  
simplification # system structure    93B11  
simplification of expressions   I.1.1.b  
simulated annealing   G.1.6.j  
simulation   B.1.2.c  
simulation   B.2.2.a  
simulation   B.3.3.b  
simulation   B.4.4.b  
simulation   B.5.2.d  
simulation   B.6.3.d  
simulation   B.7.2.d  
simulation   D.4.8.f  
simulation   37M05  
simulation   68U20  
simulation # cognitive    I.2.0.a  
simulation # general methods of    00A72  
simulation # types of    I.6.8  
simulation (continuous and discrete) # types of    I.6.1.c  
simulation and modeling   I.6  
simulation and numerical modeling   81T80  
simulation and stochastic differential equations # probabilistic methods,    65Cxx  
simulation languages   I.6.2  
simulation of turbulence # direct numerical and large eddy    76F65  
simulation output analysis   I.6.6  
simulation support systems   I.6.7  
simulation theory   I.6.1  
simultaneous approximation   41A28  
simultaneous homogeneous approximation, linear forms   11J13  
sine and cosine functions and higher-order Cauchy problems # operator    47D09  
sine-Gordon, sinh-Gordon, etc.) # KdV-like equations (Korteweg - de_Vries, Burgers,    35Q53  
single binary operation (groupoids) # sets with a    20N02  
single data stream architectures   C.1.1  
single equations   65H05  
single step) methods # one-step (   G.1.7.i  
single-data-stream processors (MISD) # multiple-instruction-stream,    C.1.1.a  
single-data-stream processors (SISD) # single-instruction-stream,    C.1.1.d  
single-instruction-stream, multiple-data-stream processors (SIMD)   C.1.2.h  
single-instruction-stream, single-data-stream processors (SISD)   C.1.1.d  
singly generated operator algebras # dual algebras; weakly closed    47L45