hypotheses and axioms # other    03E65  
hypothesis and Martin's axiom # continuum    03E50  
hypothesis testing   519.56  
hypothesis testing   62F03  
hypothesis testing   62G10  
hypothesis testing   62H15  
hypothesis testing # Markov processes:    62M02  
hypothesis testing # non-Markovian processes:    62M07  
hysteresis   34C55  
hysteresis # equations with    47J40  
hysteresis # problems involving    74N30  
i. rings, rings embeddable in matrices over commutative rings # semiprime p.    16R20  
i.e. PDE on finite-dimensional spaces for abstract space valued functions) # partial operator-differential equations (   35R20  
i.e. small categories in which all morphisms are isomorphisms) # groupoids (   20L05  
ideal boundary theory   30F25  
ideal rings # principal    13F10  
ideal theory   20M12  
ideal theory # ideals; multiplicative    13A15  
idealism and related systems and doctrines   141  
ideals   16D25  
ideals # distribution of prime    11R44  
ideals # extensions of rings by    16S70  
ideals # injective and flat modules and    13C11  
ideals # operator    47L20  
ideals # other classes of modules and    16D80  
ideals # projective and free modules and    13C10  
ideals # theory of modules and    13Cxx  
ideals # torsion modules and    13C12  
ideals (nuclear, $p$-summing, in the Schatten - von_Neumann classes, etc.) # operators belonging to operator    47B10  
ideals (Rees ring, form ring), analytic spread and related topics # associated graded rings of    13A30  
ideals and subalgebras   46H10  
ideals, congruence relations   06B10  
ideals, Gr\"obner bases # polynomial    13P10  
ideals, identities, varieties of rings and algebras # T$-   16R10  
ideals, maximal ideals, boundaries   46J20  
ideals; integrally closed rings, related rings (Japanese, etc.) # integral closure of rings and    13B22  
ideals; multiplicative ideal theory   13A15  
ideals; rings of integer-valued polynomials # polynomial rings and    13F20  
idempotents, Peirce decompositions   17C27  
identification # system    003.1  
identification # system    93B30  
identification # system    93E12  
identities # algebras satisfying other    17A30  
identities # binomial coefficients; factorials; $q$-   11B65  
identities # combinatorial    05A19  
identities # matrix equations and    15A24  
identities (generalized polynomial, rational, involution) # other kinds of    16R50  
identities and free Jordan structures   17C05  
identities other than those of matrices over commutative rings   16R40  
identities, free Lie (super)algebras   17B01  
identity # rings with polynomial    16Rxx  
ill-posedness, regularization   65F22  
illustrations # books notable for    096.1  
illustrations and materials # books notable for    096  
image analysis   62H35  
image analysis # random fields;    62M40  
image processing   68U10  
image processing (compression, reconstruction, etc.)   94A08  
imaging and signal processing # biomedical    92C55  
imbeddable into projective geometries # incidence structures    51A45  
imbeddings and immersions # spaces of    58D10  
immersions   57R42  
immersions # embeddings and    57N35  
immersions # embeddings and    57Q35  
immersions # spaces of imbeddings and    58D10  
immersions (minimal, prescribed curvature, tight, etc.)   53C42  
impact   74M20  
implicit equations, differential-algebraic equations   34A09  
implicit function theorems # abstract inverse mapping and    47J07  
implicit function theorems, Jacobians, transformations with several variables   26B10  
implicit function theorems; global Newton methods   58C15  
improperly posed problems   65L08  
improperly posed problems   65M30  
improperly posed problems   65R30  
improperly posed problems for PDE   35R25  
improperly posed problems; regularization   65J20  
impulses # boundary value problems with    34B37  
impulses # differential equations with    34A37  
impulsive optimal control problems   49N25  
impulsive partial differential equations   35R12  
incidence geometry   516.12  
incidence geometry # linear    51Axx  
incidence geometry # nonlinear    51Bxx  
incidence groups   51Jxx  
incidence groups # projective    51J10  
incidence structures # finite geometry and special    51Exx  
incidence structures # other finite    51E30  
incidence structures # topological linear    51H10  
incidence structures # topological nonlinear    51H15  
incidence structures imbeddable into projective geometries   51A45  
incidence structures, etc.) # ordered geometries (ordered    51G05  
incidence, Hadamard, etc.) # matrices (   05B20  
inclusion and equivalence theorems   40D25  
inclusions # differential    34A60  
inclusions # evolution    34G25  
inclusions # optimal control problems involving differential    49J24  
inclusions # problems involving differential    49K24  
incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)   33B20  
incomplete information # problems with    49N30  
incomplete information # problems with    93C41  
incompressible inviscid fluids   76Bxx  
incompressible viscous fluids   76Dxx  
inconsistency (paraconsistent logics, discussive logics, etc.) # logics admitting    03B53  
increments # processes with independent    60G51  
incunabola   093  
indefinite inner product (Krein spaces, Pontryagin spaces, # spaces with    46C20  
indefinite metric # operators on spaces with an    47B50  
independence over a field # irrationality; linear    11J72  
independence results # consistency and    03E35  
independence results # consistency and    54A35  
independence; Gelfond's method # algebraic    11J85  
independent increments # processes with    60G51  
independent random variables; random walks # sums of    60G50  
independent variable # free problems in one    49J05  
independent variable # free problems in one    49K05  
independent variable) # applications to the theory of geodesics (problems in one    58E10  
independent variables # free problems in two or more    49J10  
independent variables # free problems in two or more    49K10  
independent variables) # applications to minimal surfaces (problems in two    58E12  
indeterminism # determinism and    123  
index # Lagrangian submanifolds; Maslov    53D12  
index theories # (semi-) Fredholm operators;    47A53  
index theories # exotic    58J22  
index theory   19K56  
index theory and related fixed point theorems   58J20  
index theory, Morse - Conley indices   37B30  
indexes and measures # statistical models; economic    91B19  
indexing # subject    024.48  
indexing databases # management systems of total    005.759  
India   934  
India   01A32  
indigenous cultures (non-European) # other    01A13  
indigenous cultures of the Americas   01A12  
indigenous European cultures (pre-Greek, etc.)   01A15  
individual linear operators as elements of algebraic systems   47Cxx  
individual preferences   91B06  
individualism   141.4  
induced measures # continuity and singularity of    60G30  
induced representations   22D30  
induction accelerators # in    539.734  
induction, Burnside and representation rings # Frobenius    19A22  
inductive and projective limits   46M40  
inductive definability   03D70  
inductive logic # probability and    03B48  
inductive mathematics   511.22  
inductive or projective limits (LB, LF, etc.) # spaces defined by    46A13  
industry # applications in engineering and    62P30  
inequalities   512.97  
inequalities   515.26  
inequalities   515.826  
inequalities   515.926  
inequalities   26Dxx  
inequalities # combinatorial    05A20  
inequalities # differential    515.36  
inequalities # differential    34A40  
inequalities # Diophantine    11D75  
inequalities # Diophantine    11J25  
inequalities # functional equations and    39Bxx  
inequalities # geometry of    516.17  
inequalities # integral    515.46  
inequalities # linear    15A39  
inequalities # Nevanlinna theory (local); growth estimates; other    32A22  
inequalities # operator    47A63  
inequalities # other analytical    26D20  
inequalities # partial differential    35R45  
inequalities # variational methods including variational    49J40  
inequalities (global problems) # variational    58E35  
inequalities and extremum problems   51M16  
inequalities and extremum problems   52A40  
inequalities for elliptic PDE # unilateral problems and variational    35J85  
inequalities for parabolic PDE # unilateral problems and variational    35K85  
inequalities for sums, series and integrals   26D15  
inequalities for trigonometric functions and polynomials   26D05  
inequalities forhyperbolic PDE # unilateral problems; variational    35L85  
inequalities in approximation (Bernstein, Jackson, Nikol'ski\u\i-type inequalities)   41A17  
inequalities in the complex domain   30A10  
inequalities involving derivatives and differential and integral operators   26D10  
inequalities involving eigenvalues and eigenvectors   15A42  
inequalities involving linear operators # equations and    47Jxx  
inequalities involving linear operators, with vector unknowns # equations and    47A50  
inequalities involving matrices # miscellaneous    15A45  
inequalities involving nonlinear operators (general) # variational and other type of    47J20  
inequalities involving other types of functions   26D07  
inequalities, discrete subsets) # cardinality properties (cardinal functions and    54A25  
inequalities, including subadditivity, convexity, etc. # functional    39B62  
inequalities, more than one norm, etc.) # norms (   47A30  
inequalities; stochastic orderings   60E15  
inequalitites # systems of functional equations and    39B72  
inertial manifolds   35B42  
inertial manifolds and other invariant attracting sets   37L25  
inference # Bayesian    62F15  
inference # nonparametric    62Gxx  
inference # parametric    62Fxx  
inference # statistical    519.54  
inference # statistics of extreme values; tail    62G32  
inference from stochastic processes   62Mxx  
inference under constraints   62F30  
inference, regression # linear    62Jxx  
infinitary algebras   08A65  
infinitary logic # other    03C75  
infinite # finite and    111.6  
infinite automorphism groups   20B27  
infinite groups # general theory for    20B07  
infinite groups # integral representations of    20C12  
infinite groups # multiply transitive    20B22  
infinite groups and their modules # group rings of    20C07  
infinite intervals # boundary values on    34B40  
infinite limiting processes # convergence and divergence of    40Axx  
infinite loop spaces   55P47  
infinite nonwandering sets   37G30  
infinite or finite groups # special aspects of    20Fxx  
infinite or finite groups # structure and classification of    20Exx  
infinite order # differential equations of    34A35  
infinite order # partial differential equations of    35R50  
infinite particle systems   70F45  
infinite products # convergence and divergence of    40A20  
infinite symmetric groups # representations of    20C32  
infinite-dimensional (e.g. function) spaces (=PDE in infinitely many variables) # partial differential equations on    35R15  
infinite-dimensional and general   16K40  
infinite-dimensional case) # limit theorems for vector-valued random variables (   60B12  
infinite-dimensional critical point theory and variational methods   47J30  
infinite-dimensional dissipative dynamical systems   37Lxx  
infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac - Moody, $W$-algebras and other current algebras and their representations   81R10  
infinite-dimensional Hamiltonian systems   37Kxx  
infinite-dimensional holomorphy   46G20  
infinite-dimensional Lie (super)algebras   17B65  
infinite-dimensional Lie algebras and other algebraic structures # relations with    37K30  
infinite-dimensional Lie groups and their Lie algebras   22E65  
infinite-dimensional manifolds   46T05  
infinite-dimensional manifolds   58Bxx  
infinite-dimensional manifolds # group structures and generalizations on    58B25  
infinite-dimensional manifolds # topology of    57N20  
infinite-dimensional random dynamical systems; stochastic equations   37L55  
infinite-dimensional simple rings (except as in 16Kxx)   16D30  
infinite-dimensional spaces # calculus of functions on    26E15  
infinite-dimensional spaces # calculus of functions taking values in    26E20  
infinite-dimensional spaces # distributions on    46F25  
infinite-dimensional spaces # spaces of differentiable or holomorphic functions on    46E50  
infinite-dimensional spaces # variational problems in    58Exx  
infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) # set functions and measures and integrals in    28C20  
infinite-dimensional spaces) # measures, integration, derivative, holomorphy (all involving    46Gxx  
infinite-measure preserving) transformations # nonsingular (and    37A40  
infinitely divisible distributions; stable distributions   60E07  
infinitely many players # games with    91A13  
infinitely many variables) # partial differential equations on infinite-dimensional (e.g. function) spaces (=PDE in    35R15  
infinitesimal methods   14B10  
infinitesimal methods # deformations and    13D10  
information # problems with incomplete    49N30  
information # problems with incomplete    93C41  
information # sufficiency and    62Bxx  
information and communication, circuits   94-XX  
information management # decision process and    658.403  
information sciences # libraries and    020  
information storage and retrieval   68P20  
information storage and retrieval systems # automated    025.04  
information storage and retrieval systems # automated    025.042  
information storage and retrieval systems # automated    025.044  
information storage and retrieval systems devoted to specific disciplines and subjects # automated    025.06  
information systems (hypertext navigation, interfaces, decision support, etc.)   68U35  
information theory   003.54  
information theory (compaction, compression, models of communication, encoding schemes, etc.) # coding and    68P30  
information theory (Kolmogorov complexity, etc.) # algorithmic    68Q30  
information theory, general   94A15  
information, entropy # measures of    94A17  
information-theoretic topics   62B10  
informational economics   91B35  
infrared region   535.012  
infrared spectroscopy   535.842  
infty$ and real-analytic manifolds # controllability of vector fields on $C^\   57R27  
infty$, $A_\infty$, ring spectra, etc.) # spectra with additional structure ($E_\   55P43  
infty$-control # H^\   93B36  
infty$-functions, quasi-analytic functions # C^\   26E10  
inhomogeneity   74E05  
inhomogeneous linear forms   11J20  
initial and boundary data, parameters # dependence of solutions of PDE on    35B30  
initial stresses # linear elasticity with    74B10  
initial value problems   35E15  
initial value problems   65L05  
initial value problems # propagation of singularities;    58J47  
initial value problems for higher-order, hyperbolic equations   35L30  
initial value problems for higher-order, parabolic equations   35K30  
initial value problems for hyperbolic systems of first-order PDE   35L45  
initial value problems for linear first-order PDE, linear evolution equations   35F10  
initial value problems for linear higher-order PDE, linear evolution equations   35G10  
initial value problems for nonlinear first-order PDE, nonlinear evolution equations   35F25  
initial value problems for nonlinear higher-order PDE, nonlinear evolution equations   35G25  
initial value problems for parabolic systems   35K45  
initial value problems for PsDO   35S10  
initial value problems for second-order, hyperbolic equations   35L15  
initial value problems for second-order, parabolic equations   35K15  
initial value problems, existence, uniqueness, continuous dependence and continuation of solutions   34A12  
injective and flat modules and ideals   13C11  
injective modules, self-injective rings   16D50  
injective objects # projective and    46M10  
injectives # projectives and    18G05  
injectives, projectives   08B30  
inner models, including constructibility, ordinal definability, and core models   03E45  
inner product (Krein spaces, Pontryagin spaces, # spaces with indefinite    46C20  
inner product spaces and their generalizations, Hilbert spaces   46Cxx  
inner product) # Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite    46C05