piezoelectricity   537.2446  
piezoelectricity, ferroelectricity   537.244  
pivoting methods # extreme-point and    90C50  
PL-structures: classification, Hauptvermutung # comparison of    57Q25  
PL-topology   57Qxx  
PL-topology # equivariant    57Q91  
placement problems # pole and zero    93B55  
planar arrangements of lines and pseudolines   52C30  
Planck, Langevin, etc.) # stochastic methods (Fokker -    82C31  
plane # capacity and harmonic measure in the complex    30C85  
plane # quasiconformal mappings in the    30C62  
plane analitic geometry   516.32  
plane analysis, limit cycles # phase    70K05  
plane and space curves   14H50  
plane and surfaces # homeomorphism and diffeomorphisms of    37E30  
plane geometry   516.22  
plane trigonometry   516.242  
planes   516.05  
planes # absolute    51F05  
planes # affine and projective    51E15  
planes # curves and surfaces on projective and affine    516.352  
planes # finite upper-half    11T60  
planes # non-Desarguesian affine and projective    51A35  
planes and spreads # translation    51A40  
planetary atmospheres   85A20  
planning # educational research and    97B10  
planning aids # teacher manuals and    97U30  
plant biology   92C80  
plasma physics   530.44  
plasmas   82D10  
plasmic flow # ionized gas flow in electromagnetic fields;    76X05  
plastic materials, materials of stress-rate and internal-variable type   74Cxx  
plasticity   531.385  
plateau # Mesopotamia and iranian    935  
plates   74K20  
platonism and neoplatonism # modern    141.2  
players # games with infinitely many    91A13  
pluralism # dualism and    147.4  
pluricomplex Green functions   32U35  
pluriharmonic and plurisubharmonic functions   31C10  
pluripotential theory   32Uxx  
pluripotential theory   32U15  
plurisubharmonic exhaustion functions   32U10  
plurisubharmonic functions # pluriharmonic and    31C10  
plurisubharmonic functions and generalizations   32U05  
plus-constructions # Q$- and    19D06  
Poincar\'e duality spaces   57P10  
Poincar\'e series # Hilbert - Samuel and Hilbert - Kunz functions;    13D40  
point # motion of a rigid body with a fixed    70E17  
point estimation   62F10  
point processes   60G55  
point set topology (general topology)   514.322  
point theorems # index theory and related fixed    58J20  
point theorems on manifolds # fixed    58C30  
point theory (Morse theory, Ljusternik - Schnirelman (Lyusternik - Shnirel'man) theory, etc.) # abstract critical    58E05  
point theory and variational methods # infinite-dimensional critical    47J30  
points # bifurcations of singular    37G10  
points # critical    35B38  
points # rational    14G05  
points and coincidences # fixed    55M20  
points and critical submanifolds # critical    57R70  
points in specified regions # lattice    11P21  
points of functions and mappings # critical    58K05  
points with homoclinic trajectories # hyperbolic singular    37G20  
points, flats, hyperplanes # arrangements of    52C35  
points, periodic points, fixed-point index theory # fixed    37C25  
points; gap sequences # Riemann surfaces; Weierstrass    14H55  
Poisson - Darboux equation and generalizations # Euler -    35Q05  
Poisson algebras   17B63  
Poisson manifolds   53D17  
polar geometry, symplectic spaces, orthogonal spaces   51A50  
polar materials   74A35  
polarization   535.52  
pole and zero placement problems   93B55  
policy and educational systems # educational    97Bxx  
polyadic algebras; relation algebras # cylindric and    03G15  
polygenic and areolar monogenic functions) # monogenic properties of complex functions (including    30A05  
polyharmonic equations and functions # biharmonic and    31B30  
polyhedra # polytopes and    52Bxx  
polyhedra and polytopes; regular figures, division of spaces   51M20  
polyhedral combinatorics, branch-and-bound, branch-and-cut   90C57  
polyhedral manifolds   52B70  
polylogarithms and relations with $K$-theory   11G55  
polymers   82D60  
polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) # theory of limit cycles of    34C07  
polynomial approximation, Runge pairs, interpolation # holomorphic and    32E30  
polynomial convexity   32E20  
polynomial ideals, Gr\"obner bases   13P10  
polynomial identity # rings with    16Rxx  
polynomial operators # multilinear and    47H60  
polynomial rings and ideals; rings of integer-valued polynomials   13F20  
polynomial rings and semigroup rings # ordinary and skew    16S36  
polynomial rings over finite fields # arithmetic theory of    11T55  
polynomial values # primes represented by polynomials; other multiplicative structure of    11N32  
polynomial, rational, involution) # other kinds of identities (generalized    16R50  
polynomials   11C08  
polynomials   11S05  
polynomials   11T06  
polynomials   13M10  
polynomials   30C10  
polynomials # approximation by    41A10  
polynomials # Bernoulli and Euler numbers and    11B68  
polynomials # computational aspects of field theory and    12Y05  
polynomials # field theory and    12-XX  
polynomials # inequalities for trigonometric functions and    26D05  
polynomials # orthogonal    515.55  
polynomials # orthogonal    05E35  
polynomials # polynomial rings and ideals; rings of integer-valued    13F20  
polynomials # special    12E10  
polynomials # special sequences and    11B83  
polynomials (irreducibility, etc.)   11R09  
polynomials (irreducibility, etc.)   12E05  
polynomials and functions # other special orthogonal    33C47  
polynomials and functions (Askey - Wilson polynomials, etc.) # basic orthogonal    33D45  
polynomials and functions associated with root systems # orthogonal    33C52  
polynomials and functions associated with root systems (Macdonald polynomials, etc.) # basic orthogonal    33D52  
polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable # orthogonal    33D50  
polynomials and functions in several variables expressible in terms of special functions in one varaible # orthogonal    33C50  
polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) # orthogonal    33C45  
polynomials and generalizations # Fibonacci and Lucas numbers and    11B39  
polynomials and generalizations # small fractional parts of    11J54  
polynomials and matrices   11Cxx  
polynomials over commutative rings   13B25  
polynomials, etc.) # basic orthogonal polynomials and functions (Askey - Wilson    33D45  
polynomials, etc.) # basic orthogonal polynomials and functions associated with root systems (Macdonald    33D52  
polynomials, factorization   13P05  
polynomials, general theory # orthogonal functions and    42C05  
polynomials, inequalities, extremal problems # trigonometric    42A05  
polynomials, rational functions   26Cxx  
polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) # zeros of    30C15  
polynomials, Seiberg - Witten invariants) # topology of surfaces (Donaldson    14J80  
polynomials, Walsh functions, etc.) # Fourier series in special orthogonal functions (Legendre    42C10  
polynomials: analytic properties, etc.   26C05  
polynomials: factorization   12D05  
polynomials: location of zeros   26C10  
polynomials: location of zeros (algebraic theorems)   12D10  
polynomials; other multiplicative structure of polynomial values # primes represented by    11N32  
polynomials; rational maps; entire and meromorphic functions   37F10  
polyominoes   05B50  
polytopes # isoperimetric problems for    52B60  
polytopes # n$-dimensional    52B11  
polytopes # symmetry properties of    52B15  
polytopes # three-dimensional    52B10  
polytopes (including relations with commutative algebra and algebraic geometry) # lattice    52B20  
polytopes (linear programming, centrally symmetric, etc.) # special    52B12  
polytopes and polyhedra   52Bxx  
polytopes, convexity in combinatorial structures, etc.) # matroids (realizations in the context of convex    52B40  
polytopes; regular figures, division of spaces # polyhedra and    51M20  
Popov-type stability of feedback systems   93D10  
population dynamics # genetics and    92Dxx  
population dynamics (general)   92D25  
population genetics, absorption problems, etc.) # applications of diffusion theory (   60J70  
porous media; filtration; seepage # flows in    76S05  
posed problems # improperly    65L08  
posed problems # improperly    65M30  
posed problems # improperly    65R30  
posed problems for PDE # improperly    35R25  
posed problems; regularization # improperly    65J20  
posets # algebraic aspects of    06A11  
posets # group actions on posets and homology groups of    05E25  
posets and homology groups of posets # group actions on    05E25  
posets, applications # continuous lattices and    06B35  
position and transversality # general    57N75  
position and transversality # general    57Q65  
positional games (pursuit and evasion, etc.)   91A24  
positive coefficients, monotonic coefficients, etc.) # trigonometric series of special types (   42A32  
positive curvature manifolds   32Q10  
positive definite functions   42A82  
positive definite functions on groups, semigroups, etc.   43A35  
positive fields # totally real and totally    11R80  
positive matrices and their generalizations; cones of matrices   15A48  
positive multiplicative functions # distribution functions associated with additive and    11N60  
positive operators # approximation by    41A36  
positive operators and order-bounded operators   47B65  
positive operators on ordered Banach spaces or other ordered topological vector spaces # monotone and    47H07  
positive solutions   45M20  
positive solutions of nonlinear boundary value problems   34B18  
positivism (comtism) and related systems   146.4  
positivism (logical empiricism) # logical    146.42  
positrons   539.7214  
possibility and limits of knowledge   121.2  
Post algebras   06D25  
Post algebras # Lukasiewicz and    03G20  
Post systems, etc. # Thue and    03D03  
Postnikov systems, $k$-invariants   55S45  
potential # electric charge and    537.21  
potential flow # free-surface    76B07  
potential operators   47H50  
potential scattering theory # n$-body    81U10  
potential theory   31-XX  
potential theory # axiomatic    31D05  
potential theory # fine    31C40  
potential theory # probabilistic    60J45  
potential theory and numerical methods # discrete    31C20  
potential theory on Riemannian manifolds   31C12  
potential theory, etc.) # numerical methods in complex analysis (   65E05  
potential theory, etc.) # other generalizations (nonlinear    31C45  
potentials and capacities   31C15  
potentials and capacities, extremal length   31B15  
potentials and capacity, harmonic measure, extremal length   31A15  
potentials, prospecting   86A20  
power residues, reciprocity   11A15  
power series   515.2432  
power series   515.82432  
power series   515.92432  
power series # random    30B20  
power series (including lacunary series)   30B10  
power series fields # p$-adic and    11D88  
power series methods and semicontinuous methods) # function-theoretic methods (including    40C15  
power series rings   13J05  
power series rings # formal    13F25  
power series, over-convergence # boundary behavior of    30B30  
power series, series of functions   32A05  
power-associative rings   17A05  
pragmatism   144.3  
pre-Greek, etc.) # indigenous European cultures (   01A15  
pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) # Hilbert and    46C05  
preadditive, additive categories   18E05  
prediction   62M20  
prediction # expectations and    519.287  
prediction theory   60G25  
preferences # group    91B07  
preferences # individual    91B06  
prefix, length-variable, comma-free codes   94A45  
prehomogeneous vector spaces   11S90  
preorders, orders and lattices (viewed as categories)   18B35  
preparation and representation, record formats # data    005.72  
preparation of program documentation   005.15  
preparation. educational principles # teaching methods and classroom techniques. lesson    97D40  
presentable categories # accessible and locally    18C35  
presentation; number of generators # rings and modules of finite generation or    13E15  
preserving) transformations # nonsingular (and infinite-measure    37A40  
presheaves and sheaves   18F20  
presheaves and sheaves   54B40  
pressure is variable # flow when    532.56  
price theory and market structure   91B12  
primality   11Y11  
primality # factorization;    11A51  
primarily algorithms) # numerical approximation and computational geometry (   65Dxx  
primary cohomology operations   55S05  
prime and semiprime rings   16N60  
prime ideals # distribution of    11R44  
primes   11A41  
primes # distribution of    11N05  
primes # Goldbach-type theorems; other additive questions involving    11P32  
primes # sums over    11L20  
primes and integers # generalized    11N80  
primes in progressions   11N13  
primes represented by polynomials; other multiplicative structure of polynomial values   11N32  
primitive groups   20B15  
primitive roots; residue systems # congruences;    11A07  
principal components; correspondence analysis # factor analysis and    62H25  
principal ideal rings   13F10  
principle # Hamilton's    70H25  
principle # Saint-Venant's    74G50  
principle; Schwarz's lemma, Lindel\"of principle, analogues and generalizations; subordination # maximum    30C80  
principles # determinacy    03E60  
principles # functional limit theorems; invariance    60F17  
principles # mathematical    004.0151  
principles # mathematical    330.0151  
principles # mathematical    410.151  
principles # maximum    35B50  
principles # other variational    70H30  
principles # psychological    004.019  
principles # scientific    658.403015  
principles # teaching methods and classroom techniques. lesson preparation. educational    97D40  
principles # variational    58E30  
principles of mathematics # general    511  
principles of physics # variational    49S05  
printed books   094  
printed books # early    094.2  
priori estimates # a    35B45  
probabilistic games; gambling   91A60  
probabilistic measure theory   60A10  
probabilistic methods   05D40  
probabilistic methods   42A61  
probabilistic methods in Banach space theory   46B09  
probabilistic methods in group theory   20P05  
probabilistic methods, simulation and stochastic differential equations   65Cxx  
probabilistic metric linear spaces # functional analysis in    46S50  
probabilistic metric linear spaces # operator theory in    47S50  
probabilistic metric spaces   54E70  
probabilistic number theory   512.76  
probabilistic potential theory   60J45  
probabilistic processes   519.23  
probabilistic theory: distribution modulo $1$; metric theory of algorithms   11Kxx  
probabilities   519.2  
probabilities & applied mathematics   519  
probabilities over rings, algebras, other algebraic structures   519.26  
probability # certain and    121.63  
probability # combinatorial    60C05  
probability # error    94B70  
probability # other computational problems in    65C50  
probability and free operator algebras # free    46L54  
probability and inductive logic   03B48  
probability and statistics # noncommutative    46L53  
probability distribution   519.24  
probability measures # convergence of    60B10  
probability measures on groups, Fourier transforms, factorization   60B15  
probability measures on topological spaces   60B05