Boolean functions   06E30  
Boolean programming   90C09  
Boolean rings) # Boolean algebras (   06Exx  
Boolean rings, measure algebras # measures on    28A60  
Boolean-valued models # other aspects of forcing and    03E40  
Boolean-valued, sheaf, etc.) # nonclassical models (   03C90  
bootstrap, jackknife and other resampling methods   62F40  
bordism and cobordism theories, formal group laws   55N22  
Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets # classes of sets (   28A05  
Borel, analytic, projective, etc. sets) # descriptive set theory (topological aspects of    54H05  
bornologies and related structures; Mackey convergence, etc.   46A17  
botanic sciences   580  
boundaries # dynamics of phase    74N20  
boundaries # geometric and analytic invariants on weakly pseudoconvex    32T27  
boundaries of domains # CR$ manifolds as    32V15  
boundary # method of contraction of the    65N45  
boundary behavior   31B25  
boundary behavior (theorems of Fatou type, etc.)   31A20  
boundary behavior of holomorphic functions   32A40  
boundary behavior of holomorphic functions # global    32E35  
boundary behavior of power series, over-convergence   30B30  
boundary data, parameters # dependence of solutions of PDE on initial and    35B30  
boundary element methods   65N38  
boundary element methods   74S15  
boundary element methods   76M15  
boundary element methods   78M15  
boundary element methods   80M15  
boundary layers # turbulent    76F40  
boundary problems for PDE # free    35R35  
boundary regularity of mappings   32H40  
boundary theory   60J50  
boundary theory # ideal    30F25  
boundary theory # Martin    31C35  
boundary uniqueness of mappings   32H12  
boundary value and inverse problems   31A25  
boundary value and inverse problems   31B20  
boundary value problems   30E25  
boundary value problems   34Bxx  
boundary value problems   34K10  
boundary value problems   65L10  
boundary value problems # linear    34B05  
boundary value problems # multipoint    34B10  
boundary value problems # nonlinear    34B15  
boundary value problems # positive solutions of nonlinear    34B18  
boundary value problems # singular nonlinear    34B16  
boundary value problems for elliptic systems   35J55  
boundary value problems for higher-order, elliptic equations   35J40  
boundary value problems for higher-order, hyperbolic equations   35L35  
boundary value problems for higher-order, parabolic equations   35K35  
boundary value problems for hyperbolic systems of first-order PDE   35L50  
boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE # nonlinear    35J65  
boundary value problems for linear first-order PDE   35F15  
boundary value problems for linear higher-order PDE   35G15  
boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE # nonlinear    35K60  
boundary value problems for nonlinear elliptic PDE # nonlinear boundary value problems for linear elliptic PDE;    35J65  
boundary value problems for nonlinear first-order PDE   35F30  
boundary value problems for nonlinear higher-order PDE   35G30  
boundary value problems for nonlinear parabolic PDE # nonlinear boundary value problems for linear parabolic PDE;    35K60  
boundary value problems for parabolic systems   35K50  
boundary value problems for PsDO   35S15  
boundary value problems for second-order, elliptic equations   35J25  
boundary value problems for second-order, hyperbolic equations   35L20  
boundary value problems for second-order, parabolic equations   35K20  
boundary value problems on graphs and networks   34B45  
boundary value problems on manifolds   58J32  
boundary value problems with impulses   34B37  
boundary values of analytic functions # distributions and ultradistributions as    46F20  
boundary values of solutions to elliptic PDE   35J67  
boundary values on infinite intervals   34B40  
boundary-layer theory   76N20  
boundary-layer theory, separation and reattachment, higher-order effects   76D10  
bounded Dirichlet integral) # zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with    30C15  
bounded fields of methods # summability and    40D20  
bounded map # operator spaces and completely    46L07  
bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) # other spaces of holomorphic functions (e.g.    32A37  
bounded variation, generalizations # functions of    26A45  
boundedness # ultimate    34D40  
bounds # error    65L70  
bounds # error    65M15  
bounds # error    65N15  
bounds for solutions   74G45  
bounds on codes   94B65  
bounds on effective properties   74Q20  
bounds, completeness, difficulty of approximation, etc.) # computational difficulty of problems (lower    68Q17  
braid groups; Artin groups   20F36  
branches of engineering # other    629  
branches of mathematics # algebra combined with other    512.1  
branches of mathematics # analysis and calculus combined with other    515.1  
branches of mathematics # arithmetic combined with other    513.1  
branches of physics (quantum mechanics, general relativity, laser physics) # dynamical systems in other    37N20  
branching processes   519.234  
branching processes # applications of    60J85  
branching processes (Galton - Watson, birth-and-death, etc.)   60J80  
Brauer groups   16K50  
Brauer groups of schemes   14F22  
breaking # symmetry    81R40  
Brewer sums; other complete character sums # Jacobsthal and    11L10  
british system   530.813  
brittle damage   74R05  
brittle fracture   74R10  
Brownian motion   60J65  
buckling # bifurcation and    74G60  
buildings # groups with a $BN$-pair;    20E42  
buildings and the geometry of diagrams   51E24  
built from modules # other algebras    15A78  
bulk waves   74J10  
bulletin boards # electronic    004.693  
bundle convexity   32L15  
bundles # abstract manifolds and fiber    18F15  
bundles # deformations of fiber    32G08  
bundles # equivariant fiber spaces and    55R91  
bundles # fiber    55R10  
bundles # fiber spaces and    55Rxx  
bundles # generalizations of fiber spaces and    55R65  
bundles # microbundles and block    55R60  
bundles # microbundles and block    57N55  
bundles # microbundles and block    57Q50  
bundles # natural    58A32  
bundles # sectioning fiber spaces and    55S40  
bundles # sphere bundles and vector    55R25  
bundles # topology of vector bundles and fiber    57R22  
bundles (Hermite - Einstein - Yang - Mills) # special connections and metrics on vector    53C07  
bundles and fiber bundles # topology of vector    57R22  
bundles and generalizations # holomorphic    32L05  
bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) # applications of vector    14D21  
bundles and vector bundles # sphere    55R25  
bundles on curves and their moduli # vector    14H60  
bundles on surfaces and higher-dimensional varieties, and their moduli # vector    14J60  
bundles) # vector distributions (subbundles of the tangent    58A30  
bundles, $K$-theory # stable classes of vector space    55R50  
bundles, analytic torsion # determinants and determinant    58J52  
bundles, general results # sheaves and cohomology of sections of holomorphic vector    32L10  
bundles, sheaves, related construction # vector    14F05  
buoyancy   532.25  
burst-correcting codes   94B20  
Busemann, etc.) # direct methods ($G$-spaces of    53C70  
buyers' guides and consumer reports   005.30296  
C or the quaternions; non-Archimedean functional analysis # functional analysis over fields other than R or    46S10  
c$ geometry # spin and Spin$^   53C27  
C$- and $C^*$-embedding   54C45  
C$-semigroups   47D60  
C^*$- or von_Neumann algebras # operators in $   47C15  
C^*$-algebra theory # other ``noncommutative'' mathematics based on $   46L89  
C^*$-algebras # decomposition theory for $   46L45  
C^*$-algebras # general theory of $   46L05  
C^*$-algebras # relations with the theory of $   37A55  
C^*$-algebras # tensor products of $C^*$-algebras; free products of $   46L06  
C^*$-algebras and $W^*$-algebras in relation to group representations   22D25  
C^*$-algebras, factors # classifications of $   46L35  
C^*$-algebras, von_Neumann ($W^*$-) algebras, etc.) # selfadjoint operator algebras ($   46Lxx  
C^*$-algebras; free products of $C^*$-algebras # tensor products of $   46L06  
C^*$-embedding # C$- and $   54C45  
C^*$-modules   46L08  
C^\infty$ and real-analytic manifolds # controllability of vector fields on $   57R27  
C^\infty$-functions, quasi-analytic functions   26E10  
Calabi - Yau manifolds, mirror symmetry   14J32  
Calabi - Yau theory   32Q25  
calculation of integer sequences   11Y55  
calculations # continued fraction    11Y65  
calculations, shortcuts, ready reckoners # rapid    513.9  
calculi # calculus of Mikusinski and other operational    44A40  
calculus # algebra and    512.15  
calculus # classical operational    44A45  
calculus # commutator    20F12  
calculus # differential    515.33  
calculus # discrete operational    44A55  
calculus # functional    47A60  
calculus # functional programming and lambda    68N18  
calculus # integral    515.43  
calculus # one-variable    26A06  
calculus # operational    515.72  
calculus # quantum stochastic    81S25  
calculus # stochastic calculus of variations and the Malliavin    60H07  
calculus # umbral    05A40  
calculus and analytic geometry   515.15  
calculus and equations # differential    515.3  
calculus and equations # integral    515.4  
calculus and related topics # q$-   05A30  
calculus and trigonometry   515.16  
calculus combined with other branches of mathematics # analysis and    515.1  
calculus in topological algebras # functional    46H30  
calculus of finite differences   515.62  
calculus of functions on infinite-dimensional spaces   26E15  
calculus of functions taking values in infinite-dimensional spaces   26E20  
calculus of Mikusinski and other operational calculi   44A40  
calculus of variations   515.64  
calculus of variations and optimal control; optimization   49-XX  
calculus of variations and the Malliavin calculus # stochastic    60H07  
calculus of vector functions   26B12  
calculus on manifolds; nonlinear operators   58Cxx  
Caldersn - Zygmund, etc.) # singular integrals (   42B20  
calibrated geometries # calibrations and    53C38  
calibrations and calibrated geometries   53C38  
cancellation theory; application of van_Kampen diagrams   20F06  
canonical and symplectic transformations   70H15  
canonical forms, reductions, classification   15A21  
canonical kernels (Szeg\"o, Bergman, etc.) # integral representations;    32A25  
canonical models for contractions and nonselfadjoint operators   47A45  
canonical structure   93B10  
canonical transformations   53D22  
caos systems   003.857  
capacities # potentials and    31C15  
capacities, extremal length # potentials and    31B15  
capacity and harmonic measure in the complex plane   30C85  
capacity theory and generalizations   32U20  
capacity, harmonic measure, extremal length # potentials and    31A15  
capillarity (surface tension)   76B45  
capillarity (surface tension)   76D45  
caps in Galois spaces # linear codes and    51E22  
cardinal characteristics of the continuum   03E17  
cardinal functions and inequalities, discrete subsets) # cardinality properties (   54A25  
cardinal numbers # ordinal and    03E10  
cardinality properties (cardinal functions and inequalities, discrete subsets)   54A25  
cardinals # large    03E55  
Cartan geometry   516.376  
Cartan theory) # exterior differential systems (   58A15  
Cartesian closed categories, etc.) # closed categories (closed monoidal and    18D15  
case) # limit theorems for vector-valued random variables (infinite-dimensional    60B12  
case-oriented studies   90B90  
cases of motion # integrable    70E40  
cataloging # subject    024.47  
catalogs of works on specific subjects or in specific disciplines # bibliographies and    016  
catastrophe theory   58K35  
catastrophe theory # theory of singularities and    58Kxx  
categorical logic, topoi   03G30  
categorical methods   43A95  
categorical methods   54B30  
categorical methods # homological and    20K40  
categorical semantics of formal languages   18C50  
categoricity and completeness of theories   03C35  
categories # Abelian    18Exx  
categories # accessible and locally presentable    18C35  
categories # equational    18C05  
categories # fibered    18D30  
categories # Grothendieck    18E15  
categories # localization of    18E35  
categories # module    16D90  
categories # special    18Bxx  
categories # symmetric monoidal    19D23  
categories (=multiplicative categories), symmetric monoidal categories, braided categories # monoidal    18D10  
categories (closed monoidal and Cartesian closed categories, etc.) # closed    18D15  
categories (over closed or monoidal categories) # enriched    18D20  
categories admitting limits (complete categories), functors preserving limits, completions   18A35  
categories and functors # general theory of    18Axx  
categories and functors # local    18F05  
categories and geometry   18Fxx  
categories and theories   18Cxx  
categories associated with monads # algebras and Kleisli    18C20  
categories in which all morphisms are isomorphisms) # groupoids (i.e. small    20L05  
categories of algebras   08C05  
categories of machines, automata, operative categories   18B20  
categories of topological spaces and continuous mappings   18B30  
categories with structure   18Dxx  
categories) # enriched categories (over closed or monoidal    18D20  
categories) # groupoids, semigroupoids, semigroups, groups (viewed as    18B40  
categories) # preorders, orders and lattices (viewed as    18B35  
categories), functors preserving limits, completions # categories admitting limits (complete    18A35  
categories), symmetric monoidal categories, braided categories # monoidal categories (=multiplicative    18D10  
categories, $2$-categories, bicategories and generalizations # double    18D05  
categories, Abelian categories # exact    18E10  
categories, comma categories # functor    18A25  
categories, etc.) # closed categories (closed monoidal and Cartesian closed    18D15  
categories, foundations of homotopy theory # topological    55U40  
categories, functors   46M15  
categories, triangulated categories # derived    18E30  
category (group objects, etc.) # structured objects in a    18D35  
category and cocategory, etc.   55P50  
category of a space # Ljusternik - Schnirelman (Lyusternik - Shnirel'man)    55M30  
category of groups   20J15  
category of relations, additive relations   18B10  
category of sets, characterizations   18B05  
category theory # applied homological algebra and    55Uxx  
category theory # connections of semigroups with homological algebra and    20M50  
category theory # connections with homological algebra and    20Jxx  
category theory in functional analysis # methods of    46Mxx  
category theory; abstract homological algebra   18-XX  
category) # simplicial sets, simplicial objects (in a    18G30  
category, Baire spaces # Baire    54E52  
category-theoretic methods and results   16B50  
catenary, etc.) # dimension theory, depth, related rings (   13C15  
Cauchy - Kovalevskaya theorems   35A10  
Cauchy problems # operator sine and cosine functions and higher-order    47D09  
Cauchy type # integral equations with kernels of    45E05  
Cauchy, Fantappi\`e-type kernels) # integral representations, constructed kernels (e.g.    32A26  
causation   122  
cavitation   532.597  
cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing # jets and    76B10  
Cech types   55N05  
celestial mechanics   70F15  
celestial mechanics # dynamical systems in classical and    37N05  
celestial mechanics, regularization # collisions in    70F16  
cell biology   92C37  
cell complexes # manifolds and    57-XX  
cell movement (chemotaxis, etc.)   92C17  
cellular automata   37B15  
cellular automata   68Q80  
cellularity   57N60  
censored data # survival analysis and    62Nxx  
censored data models   62N01  
center, normalizer (invariant elements)   16U70