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Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2

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Название: Encyclopedic Dictionary of Mathematics. Vol. 2

Автор: Ito K.

Аннотация:

This second edition of the widely acclaimed Encyclopedic Dictionary of Mathematice includes 70 new articles, with an increased emphasis on applied mathematics, expanded explanations and appendices, and a reorganization of topics.

Язык:

Рубрика: Математика/Энциклопедии/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1993

Количество страниц: 999

Добавлена в каталог: 23.04.2005

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Предметный указатель

Index deficiency (of a differential operator)      112.I
Index degeneracy      17.C
Index differential (in a covering of a nonsingular curve)      9.I
Index dummy (of a tensor)      256.J
Index fixed-point (of a continuous mapping)      153.B
Index Keller — Maslov      274.C
Index Kronecker      201.H
Index multi-      112.A
Index o-speciality (of a divisor)      9.F
Index of a singular point (of a continuous vector field)      153.B
Index of inertia (of a quadratic form)      348.E
Index of relative nullity      365.D
Index of total isotropy (of a quadratic form)      348.E
Index p- (on a central simple algebra)      29.G
Index ramification (of a finite extension)      257.D
Index ramification (of a prime ideal)      14.I
Index ramification (of a valuation)      439.I
Index ramification (of an algebroidal function)      17.C
Index ramification, relative (of a prime ideal)      14.I
Index Schur (of a central simple algebra)      29.E
Index Schur (of an irreducible representation)      362.F
Index set (of a balanced array)      102.L
Index set (of a family)      165.D 381.D
Index speciality (of a divisor)      9.C 15.D
Index theorem Atiyah — Singer      237.H
Index theorem for differentiable manifolds      56.G
Index theorem Hirzebruch (for differentiable manifolds)      56.G
Index theorem Morse      279.F
Index theorem of Hodge      15.D
Index topological (of an elliptic complex)      237.H
Indexing set (of a family of elements)      381.D
Indian mathematics      209
Indicator function modified      341.C
Indicator function of a subset      342.E
Indicatrix Dupin      111.H
Indicatrix spherical (of a space curve)      111.F
Indicial equation      254.C
Indirect least squares method      128.C
Indirect transcendental singularity (of an analytic function)      198.P
Indiscrete pseudometric space      273.B
Indiscrete topology      425.C
Individual      411.H
Individual domain      411.H
Individual ergodic theorem      136.B
Individual risk theory      214.C
Individual symbol      411.H
Individual variables      411.H
Indivisibilis      265
Induced (Cartan connection)      80.O
Induced (unfolding)      51.D
Induced bundle      147.G
Induced homomorphism      202.K
Induced module      277.L
Induced representation (of a finite group)      362.G
Induced representation (of a unitary representation)      437.O
Induced topology      425.I
Induced von Neumann algebra      308.C
Induction (of a von Neumann algebra)      308.C
Induction axiom of mathematical      294.B
Induction complete      294.B
Induction double mathematical      294.B
Induction equation      259
Induction magnetic      130.A
Induction mathematical      294.B
Induction multiple mathematical      294.B
Induction transfinite (in a well-ordered set)      311.C
Inductive dimension large      117.B
Inductive dimension small      117.B
Inductive limit (in a category)      210.D
Inductive limit (of a sequence of topological spaces)      425.M
Inductive limit (of an inductive system of sets)      210.B
Inductive limit (of sheaves)      383.I
Inductive limit and projective limit      210
Inductive limit group      210.C
Inductive limit space      210.C
Inductive limit strictly (of a sequence of locally convex spaces)      424.W
Inductive system (in a category)      210.D
Inductive system (of groups)      210.C
Inductive system (of sets)      210.B
Inductive system of topological spaces      210.C
Inductively ordered set      34.C
Inelastic (scattering)      375.A
Inequality (inequalities)      211 App. Table
Inequality (inequalities) absolute      211.A
Inequality (inequalities) Bell’s      351.L
Inequality (inequalities) Bernshtein (for trigonometric polynomials)      336.C
Inequality (inequalities) Bessel      197.C
Inequality (inequalities) Bhattacharyya      399.D
Inequality (inequalities) Bunyakovskii      211.C App. Table
Inequality (inequalities) Carleman      App. A Table
Inequality (inequalities) Cauchy      211.C App. Table
Inequality (inequalities) Cauchy — Schwarz      21l.C App. Table
Inequality (inequalities) Chapman — Robbins — Kiefer      399.D
Inequality (inequalities) Chebyshev      342.C
Inequality (inequalities) conditional      211.A
Inequality (inequalities) correlation      212.A
Inequality (inequalities) Cramer — Rao      399.D
Inequality (inequalities) distortion      438.B
Inequality (inequalities) energy      325.C
Inequality (inequalities) Fisher      102.E
Inequality (inequalities) FKG      212.A
Inequality (inequalities) GHS      212.A
Inequality (inequalities) Girding      112.G
Inequality (inequalities) GKS first      212.A
Inequality (inequalities) GKS second      212.A
Inequality (inequalities) Golden — Thompson      212.B
Inequality (inequalities) Griffiths’s first      212.A
Inequality (inequalities) Griffiths’s second      212.A
Inequality (inequalities) Grunsky      438.B
Inequality (inequalities) Hardy      App. A Table
Inequality (inequalities) Hardy — Littlewood — Sobalen      224.E
Inequality (inequalities) Haussdorff — Young      224.E
Inequality (inequalities) Hilbert      App. A Table
Inequality (inequalities) Hoelder      211.C App. Table
Inequality (inequalities) Hoelder integral      211.C
Inequality (inequalities) isoperimetric      228.B
Inequality (inequalities) Jordan      App. A Table
Inequality (inequalities) Klein      212.B
Inequality (inequalities) Markov (for polynomials)      336.C
Inequality (inequalities) maximal (maximal ergodic lemma)      136.B
Inequality (inequalities) Minkowski      211.C App. Table
Inequality (inequalities) Morse      279.D E
Inequality (inequalities) Peierls — Bogolyubov      212.B
Inequality (inequalities) Powers — Stormer      212.B
Inequality (inequalities) quasivariational      440.D
Inequality (inequalities) Riemann — Roch (on algebraic surfaces)      15.D
Inequality (inequalities) Riemann’s period      3.L
Inequality (inequalities) Roepstorff — Araki — Sewell      402.G
Inequality (inequalities) Roepstorff — Fannes — Verbeure      402.G
Inequality (inequalities) Schwarz      211.C
Inequality (inequalities) stationary variational      440.B
Inequality (inequalities) triangle      273.A
Inequality (inequalities) variational, of evolution      440.C
Inequality (inequalities) von Neumann      251.M
Inequality (inequalities) Wirtinger      App. A Table
Inequality (inequalities) Wolfowitz      399.J
Inequality (inequalities) Young      224.E App. Table
Inertia ellipsoid of      271.E
Inertia field (of a prime ideal)      14.K
Inertia group      14.K 257.D
Inertia index of (of an a quadratic form)      348.B
Inertia law of      271.A
Inertia law of, Sylvester (on a quadratic form)      348.B
Inertia moment of      271.E
Inertia principal axis of      271.E
Inertia principal moment of      271.E
Inertia product of      271.E
Inertial system      271.D 359
Inf (infimum)      311.B
Infeld. Leopold      206.r 359.D

Inference rule of      411.I
Inference statistical      401
Inference statistical, graphical method of      19.B
Inferior limit (of a sequence of real numbers)      87.C
Inferior limit (of a sequence of subsets of a set)      270.C
Inferior limit event      342.B
Infimum (of a subset of a vector lattice)      310.C
Infimum (of an ordered set)      311.B
Infinite branch (of a curve of class )      93.G
Infinite cardinal number      49.A
Infinite classical group      147.I 202.V
Infinite continued fraction      83.A
Infinite determinant (in Hill’s method of solution)      268.B
Infinite Grassmann manifold      147.I
Infinite group      190.C
Infinite height (element of an Abelian p-group)      2.D
Infinite interval      355.C
Infinite lens space      91.C
Infinite matrix      269.K
Infinite order (of an element in a group)      190.C
Infinite orthogonal group      202.V
Infinite population      401.E
Infinite prime divisor      439.H
Infinite prime divisor imaginary      439.H
Infinite prime divisor real      439.H
Infinite product      379.G App. Table
Infinite product divergent      379.G
Infinite product expansion, Euler’s      436.B 450.B
Infinite sequence      165.D
Infinite series      379.A App. Table
Infinite set      49.F 381.A
Infinite set countably      49.A
Infinite Stiefel manifold      147.I
Infinite symplectic group      202.V
Infinite type (Lie algebra)      191.D
Infinite type power series space      168.B
Infinite unitary group      202.V
Infinite, purely (von Neumann algebra)      308.E
Infinite-dimensional complex projective space      56.C
Infinite-dimensional linear space      256.C
Infinite-dimensional normal space      117.B
Infinite-dimensional real projective space      56.B
Infinitely differentiable (function)      106.K
Infinitely divisible distribution      341.G
Infinitely recurrent (measurable transformation)      136.C
Infinitesimal (for a function)      87.G
Infinitesimal (for a hyperreal number)      293.D
Infinitesimal (for a sequence of random variables)      250.B
Infinitesimal birth rate      260.G
Infinitesimal calculus (in nonstandard analysis)      293.D
Infinitesimal death rate      260.G
Infinitesimal deformation to the direction $\partial/\partial s$       72.G
Infinitesimal element (in nonstandard Hilbert space)      276.E
Infinitesimal generator (of a semigroup)      378.B
Infinitesimal motion (of a Riemannian manifold)      364.E
Infinitesimal order of (of a function)      87.G
Infinitesimal real number      276.E
Infinitesimal transformation (of a differentiable transformation group)      431.G
Infinitesimal transformation (of a one-parameter transformation group)      105.N
Infinitesimal wedge      125.V
infinity      87.D G
Infinity axiom of      33.B 381.G
Infinity axiom of strong      33.E
Infinity hyperplane at (in affine geometry)      7.B
Infinity minus      87.D
Infinity negative      87.D 355.C
Infinity order of (of a function)      87.G
Infinity plus      87.D
Infinity point at      7.B 74.D 178.F 285.C
Infinity positive      87.D 355.C
Infinity regular at the point at      193.B
Infinity space at (in affine geometry)      7.B
Inflation      200.M
Inflection, point of      9.B 93.G
Influence curve      371.I
Influence, domain of      325.B
Information bit      63.C
Information compression      96.B
Information Fisher      399.D
Information limited (in maximum likelihood method)      128.C
Information loss of      138.B
Information matrix      102.I 399.D
Information mutual      213.E
Information number, Kullback — Leibler (K — L)      398.G
Information retrieval      96.F
Information retrieval system      96.F
Information sciences      75.F
Information self-      213.B
Information set      173.B
Information source      213.A
Information source ergodic      213.C
Information theory      213
Informatiques      75.F
Informative, more (statistical experiment)      398.G
Infra-exponential growth      125.AA BB
Infrared divergence      132.C 146.B
Ingham, Albert Edward      123.C r
Ingoing subspaces      375.H
Inhomogeneous (boundary value problem)      315.B
Inhomogeneous (difference equation)      104.C
Inhomogeneous (linear ordinary differential equation)      252.A
Inhomogeneous (system of linear differential equations)      252.G
Inhomogeneous coordinates      343.C
Inhomogeneous lattice (in $\mathbf R^n$ )      182.B
Inhomogeneous Lorentz group      359.B
Inhomogeneous polarization      3.G
Initial blocks      102.E
Initial condition (for ordinary differential equations)      316.A
Initial condition (for partial differential equations)      321.A
Initial data      321.A
Initial distribution (for a stochastic differential equation)      406.D
Initial distribution (of a Markov process)      261.A
Initial function (of a functional-differential equation)      163.C
Initial law (for a stochastic differential equation)      406.D
Initial number      312.D
Initial object      52.D
Initial ordinal number      49.E
Initial phase (of a simple harmonic motion)      318.B
Initial point (of a curvilinear integral)      94.D
Initial point (of a path)      170
Initial point (of a position vector)      7.A
Initial point (of a vector)      442.A
Initial set (of a correspondence)      358.B
Initial set (of a linear operator)      251.E
Initial state      31.B
Initial surface      321.A
Initial term (of an infinite continued fraction)      83.A
Initial value (for a partial differential equation)      321.A
Initial value (for a stochastic differential equation)      406.D
Initial value (for an ordinary differential equation)      316.A
Initial value problem (for functional-differential equations)      163.D
Initial value problem (for hyperbolic partial differential equations)      App. A Table
Initial value problem (for integrodifferential equations)      222.B
Initial value problem (for ordinary differential equations)      313.C 316.A
Initial value problem (for partial differential equations)      321.A
Initial value problem Navier — Stokes      204.B
Initial value problem singular (for partial differential equations of mixed type)      326.C
Initial vertex      186.B
Initial-boundary value problem      325.K
Injection      381.C
Injection (homomorphism of cohomology groups)      200.M
Injection (in a category)      52.D
Injection canonical      381.C E
Injection canonical (from a subgroup)      190.D
Injection canonical (on direct sums of modules)      277.F
Injection canonical (on free products of group)      190.M
Injection natural (from a subgroup)      190.D
Injective (Banach space)      37.M
Injective (C*-algebra)      36.H
Injective (mapping)      381.C

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