Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2 :: Электронная библиотека попечительского совета мехмата МГУ

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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

Ideal differential (of a differential ring)      113
Ideal differential (on a real analytic manifold)      428.E
Ideal elementary      235.C
Ideal fractional (of an algebraic number field)      14.E
Ideal graded      369.B
Ideal group modulo m*      14.H
Ideal homogeneous (of a graded ring)      369.B
Ideal homogeneous (of a polynomial ring)      369.B
Ideal integral (of an algebraic number field)      14.C
Ideal integral left      27.A
Ideal integral right      27.A
Ideal integral two-sided o-      27.A
Ideal involutive differential      428.E
Ideal largest nilpotent (of a Lie algebra)      248.D
Ideal left (of a ring)      368.F
Ideal left o-      27.A
Ideal maximal      67.C
Ideal maximal (left or right)      368.F
Ideal maximal (with respect to S)      67.C
Ideal maximal, space (of a Banach algebra)      36.E
Ideal minimal (left or right)      368.F
Ideal mixed      284.D
Ideal nilpotent (of a Lie algebra)      248.C
Ideal order (of a vector lattice)      310.B
Ideal p-primary      67.F
Ideal point (in hyperbolic geometry)      285.C
Ideal primary      67.F
Ideal prime      67.C
Ideal prime (of a maximal order)      27.A
Ideal prime differential (of a differential ring)      113
Ideal primitive (of a Banach algebra)      36.E
Ideal principal      67.K
Ideal principal (of an algebraic number field)      14.E
Ideal principal fractional      67.K
Ideal principal, theorem (in class field theory)      59.D
Ideal pure      284.D
Ideal right (of a ring)      368.F
Ideal right o      27.A
Ideal semiprime (of a commutative ring)      113
Ideal semiprime differential (of a differential ring)      113
Ideal sheaf of (of a divisor of a complex manifold)      72.F
Ideal solvable (of a Lie algebra)      248.C
Ideal two-sided (of a ring)      368.P
Ideal two-sided o-      27.A
Ideal unmixed      284.D
Ideal valuation (of a valuation)      439.B
Ideal(s) (of an algebra)      29.A
Idele (of an algebraic number field)      6.C
Idele (of an algebraic number field)principal      6.C
Idele class      6.D
Idele class group      6.D
Idele group      6.C
Idempotent element (of a ring)      368.B
Idempotent element (of a ring) elementary      450.O
Idempotent element (of a ring) primitive      368.B
Idempotent law (in a lattice)      243.A
Idempotent measure      192.P
Idempotent set (of a ring)      368.B
Idempotent theorem      36.M
Identically true formula      411.G
Identification (in factor analysis)      280.G
Identification space (by a partition)      425.L
Identified equation      128.C
Identified equation just      128.C
Identified equation over-      128.C
Identity (identities)      231.A
Identity (identities) Bianchi      80.J 417.B
Identity (identities) Bianchi first      App. A Table
Identity (identities) Bianchi second      App. A Table
Identity (identities) homotopy (of an H-space)      203.D
Identity (identities) in Jordan algebras      231.A
Identity (identities) Jacobi (in a Lie algebra)      248.A
Identity (identities) Jacobi (on the bracket of two vector fields)      105.M
Identity (identities) Jacobi (with respect to Whitehead product)      202.P
Identity (identities) Lagrange      252.K
Identity (identities) Parseval      18.B 159.A 160.C 192.K 197.C 220.B C E
Identity (identities) resolution of      390.D
Identity (identities) theorem of (of one variable)      198.C
Identity (identities) theorem of (of several variables)      21.C
Identity character (of an Abelian group)      2.G
Identity component (of a topological group)      423.F
Identity element of a field      149.A
Identity element of a group      190.A
Identity element of a local Lie group      423.L
Identity element of a ring      368.A
Identity element of an algebraic system      409.C
Identity function      381.C
Identity mapping      381.C
Identity matrix      269.A
Identity operator (in a linear space)      37.C
Identity relation      102.I
Igari, Satoru      224.E
Igusa, Jun-ichi      3.r 9.J 12.B 15.E F r D
Ihara zeta function      450.U
Ihara, Yasutaka      59.A r M Q S U
Iitaka, Shigeru      72.I r
Iizuka, Kenzo      362.I
Ikawa, Mitsuru      325.K 345.A
Ikebe, Teruo      112.E P C
Ikebe, Yasuhiko      298.r
Ikeda, Akira      391.C
Ikeda, Hideto      96.r
Ikeda, Masatoshi      200.K L
Ikeda, Nobuyuki      44.r 45.r 115.r 250.r 262.r 399.r 406.F r
Ikeda, Tsutomu      304.D
Ikehara — Landau theorem, Wiener-      123.B
Ikehara, Shikao      123.B 160.G
Ill-conditioned (coefficient matrix in numerical solution of linear equations)      302.D
Illusie, Luc      366.r
Il’in, Arlen Mikhailovich      327.r
Im Hof, Hans-Christoph      178.r
Image (of a group homomorphism)      190.D
Image (of a line in )      343.E
Image (of a linear mapping)      256.F
Image (of a mapping)      381.C
Image (of a morphism)      52.N
Image (of a sheaf homomorphism)      383.D
Image (of an operator homomorphism)      277.E
Image closed (of a variety)      18.I
Image continuous      425.G
Image direct (of a sheaf)      383.G
Image homomorphic (of a measure preserving transformation)      136.D
Image inverse (of a set)      381.C
Image inverse (of a sheaf)      383.G
Image inverse (of a uniformity)      436.E
Image measure      270.K
Image perfect      425.CC
Image perfect inverse      425.CC
Imaginary axis      74.C
Imaginary field, totally      14.F
Imaginary hypersphere      76.A
Imaginary infinite prime divisor      439.H
Imaginary number      74.A
Imaginary number purely      74.A
Imaginary part      74.A
Imaginary prime divisor      439.H
Imaginary quadratic field      347.A
Imaginary root (of an algebraic equation)      10.E
Imaginary transformation, Jacobi’s      134.I App. Table
Imaginary unit      74.A 294.F
Imai, Kazuo      41.D
Imanishi, Hideki      154.H
Imbedded Markov chain      260.H
Imbedding      105.K
Imbedding principle      127.B
Immersed submanifold (of a Euclidean space)      111.A
Immersion (of a $C^{\infty}$ -manifold)      105.K
Immersion (of a Riemann surface)      367.G
Immersion branched minimal      275.B
Immersion generalized minimal      275.B

Immersion isometric      365.A
Immersion Kahler      365.L
Immersion minimal      275.A
Immersion minimum      365.O
Immersion tight      365.O
Immersion totally real      365.T
Imperfect field      149.H
Implication      411.B
Implication strict      411.L
Implicit (difference equation in a multistep method)      303.E
Implicit (Runge-Kutta method)      303.D
Implicit enumeration method      215.D
Implicit function theorem      208.A 286.G
Implicit function theorem (in Banach algebras)      36.M
Implicit function theorem (in locally convex spaces)      286.J
Implicit function theorem global      208.D
Implicit function theorem Nash — Moser      286.J
Implicit functions      165.C 208
Implicit method      303.E
Implicit scheme      304.F
Impossible construction problem      179.A
Impossible event      342.B
Impredicative (object)      156.B
Imprimitive (permutation group)      151.H
Improper integral      216.D E
Improper integral convergent      216.E
Improper integral divergent      216.E
Improper Riemann integral      216.E
Improvement, iterative      302.C
Impulse control      405.E
Impulse function      306.B App. Table
Imputation      173.D
Imputed costs      292.B
Imputed prices      292.C
IMT formula      299.B
In degree      186.B
In Lebesgue integral      221.D
In Riemann integral      216.C
In the algebraic sense      337.C
In the large (in differential geometry)      109
In the small (in differential geometry)      109
In-state      150.D 386.A
Inaba, Eizi      337.F
Inaba, Takashi      154.D
Inaccessible cardinal number strongly      33.E
Inaccessible cardinal number weakly      33.E
Inaccessible ordinal number strongly      312.E
Inaccessible ordinal number weakly      312.E
Inaccessible, strongly      33.F
Inagaki, Nobuo      399.N
Ince definition      268.D
Ince — Goldstein method      268.C
Ince, Edward Lindsay      107.r252.r 254.r 268.C D
Incidence matrix of a block design      102.B
Incidence matrix of a graph      186.G
Incidence number      146.B 201.B
Incidence relation      282.A
Inclination problem, critical      55.C
Inclination, curve of constant      111.F
inclusion      381.C
Inclusion mapping      381.C
Incoming wave operator      375.B
Incompatible system (of partial differential equations)      428.B
Incomplete beta function      App. A Table
Incomplete blocks      102.B
Incomplete elliptic integral of the first kind      134.B
Incomplete factorization      302.C
Incomplete gamma function      174.A App. Table
Incompleteness theorem, Goedel      156.E
Incompleteness theorem, Goedel first      185.C
Incompleteness theorem, Goedel second      185.C
Incompressible (measurable transformation)      136.C
Incompressible fluid      205.B
Inconsistent problem (of geometric construction)      179.A
Inconsistent system (of algebraic equations)      10.A
Increasing (sequence function or distribution) monotone      166.A 380.B
Increasing (sequence function or distribution) monotonically      87.B
Increasing (sequence function or distribution) non-      166.A
Increasing (sequence function or distribution) slowly ( $C^{\infty}$ -function)      125.O
Increasing (sequence function or distribution) slowly (distribution)      125.N
Increasing (sequence function or distribution) slowly (in the sense of Deny)      338.O
Increasing (sequence function or distribution) slowly, sequence      168.B
Increasing (sequence function or distribution) strictly      166.A
Increasing (sequence function or distribution) strictly monotone      166.A
Increasing directed set      308.A
Increasing process      406.B
Increment function      380.B
Increment of a function      106.B
Increment process with independent      5.B
Ind (large inductive dimension)      117.B
Ind (small inductive dimension)      117.B
Indecomposable A-module      277.I
Indecomposable continuum      79.D
Indecomposable group      190.L
Indecomposable linear representation      362.C
Indecomposable vector bundle      16.Y
Indefinite D-integral      100.D
Indefinite Hermitian form      348.F
Indefinite integral      198.B
Indefinite quadratic form      348.C
Indefinite sum (of a function)      104.B
Independence theorem (on valuations)      439.G
Independence, number of      186.I
Independent $\varepsilon$ - (partitions)      136.E
Independent (axioms)      35.B
Independent (complexes)      70.B
Independent (differential operators)      324.C
Independent (events)      342.B
Independent (frequency)      126.L
Independent (partitions)      136.E
Independent (points)      7.A
Independent (random variables)      342.C
Independent algebraically      149.K 369.A
Independent analytically (in a complete ring)      370.A
Independent increments, process with      5.B
Independent linearly      2.E 256.C E
Independent of the past history      406.D
Independent path      346.G
Independent process      136.E
Independent set      66.G 186.I
Independent system, maximal (of an additive group)      2.E
Independent variable      165.C
Independent vector      66.F
Indeterminacy, set of points of (of a proper meromorphic mapping)      23.D
Indeterminate      369.A
Indeterminate coefficients, Lagrange’s method of      106.L
Indeterminate form, limit of      106.E
Indeterminate system (of algebraic equations)      10.A
Index (of a central simple algebra)      29.G
Index (of a critical point)      279.B E
Index (of a divisor)      3.D
Index (of a Fredholm mapping)      286.E
Index (of a Fredholm operator)      68.F 251.D
Index (of a manifold)      56.G
Index (of a number)      297.G
Index (of a quadratic form)      348.E
Index (of a recursive function)      356.F
Index (of a stable distribution)      341.G
Index (of a stable process)      5.F
Index (of a subgroup)      190.C
Index (of an $\varepsilon$ -Hermitian form)      60.O
Index (of an eigenvalue)      217.F
Index (of an orthogonal array)      102.L
Index (of the Riemann-Hilbert problem)      217.J
Index analytic (of an elliptic complex)      237.H
Index analytic (of an elliptic differential operator)      237.H
Index contravariant (of a component of a tensor)      256.J
Index covariant (of a component of a tensor)      256.J
Index cycle      66.E
Index deficiency (of a closed symmetric operator)      251.I

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