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Ito K. — Encyclopedic Dictionary of Mathematics

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Название: Encyclopedic Dictionary of Mathematics

Автор: Ito K.

Аннотация:

When the first edition of the Encyclopedic Dictionary of Mathematics appeared in 1977, it was immediately hailed as a landmark contribution to mathematics: "The standard reference for anyone who wants to get acquainted with any part of the mathematics of our time" (Jean Dieudonné, American Mathematical Monthly).

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1987

Количество страниц: 2120

Добавлена в каталог: 18.03.2009

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Предметный указатель

Hypothesis simple      400.A
Hypothesis statistical      400.A
Hypothesis Suslin      33.F
Hypothesis testing      401.C App. Table
Hypothesis testing statistical      400 App. Table
Hypothetical infinite population      397.P
Hypotrochoid      93.H
I-adic topology (of a ring)      16.X
i-genus      15.E
Iagolnitzer, Daniel(1940-)      146.C 274.D 274.I 386.C 386.r
Ibragimov, Il’dar Abdulovich(1932-)      176.r 250.r
Ibuki, Kimio(1918-)      75.D
Ibukiyama, Tomoyoshi(1948-)      450.S
Ichihara, Kanji(1948-)      115.D
Icosahedral group      151.G
icosahedron      357.B
Ideal boundary      207.A
Ideal boundary in the narrow sense      14.G
Ideal class      14.E
Ideal class group      14.E 67.K
Ideal group modulo m*      14.H
Ideal point (in hyperbolic geometry)      285.C
Ideal(s) $\mathfrak{p}$ -primary      67.F
Ideal(s) (of a lattice)      42.C
Ideal(s) (of a Lie algebra)      248.A
Ideal(s) (of a ring)      368.F
Ideal(s) (of an algebra)      29.A
Ideal(s) (of an algebraic number field)      14.B
Ideal(s) Abelian (of a Lie algebra)      248.C
Ideal(s) Alexander (of a knot)      235.C
Ideal(s) ambig (of a quadratic field)      347.F
Ideal(s) conjugate (of a fractional ideal)      14.I
Ideal(s) defining (of a formal spectrum)      16.X
Ideal(s) differential (of a differential ring)      113
Ideal(s) differential (on a real analytic manifold)      428.E
Ideal(s) elementary      235.C
Ideal(s) fractional (of an algebraic number field)      14.E
Ideal(s) graded      369.B
Ideal(s) homogeneous (of a graded ring)      369.B
Ideal(s) homogeneous (of a polynomial ring)      369.B
Ideal(s) integral (of an algebraic number field)      14.C
Ideal(s) integral left      27.A
Ideal(s) integral right      27.A
Ideal(s) integral two-sided $\mathfrak{o}$ -      27.A
Ideal(s) involutive differential      428.E
Ideal(s) largest nilpotent (of a Lie algebra)      248.D
Ideal(s) left $\mathfrak{o}$ -      27.A
Ideal(s) left (of a ring)      368.F
Ideal(s) maximal      67.C
Ideal(s) maximal (left or right)      368.F
Ideal(s) maximal (with respect to S)      67.C
Ideal(s) maximal, space (of a Banach algebra)      36.E
Ideal(s) minimal (left or right)      368.F
Ideal(s) mixed      284.D
Ideal(s) nilpotent (of a Lie algebra)      248.C
Ideal(s) order (of a vector lattice)      310.B
Ideal(s) primary      67.F
Ideal(s) prime      67.C
Ideal(s) prime (of a maximal order)      27.A
Ideal(s) prime differential (of a differential ring)      113
Ideal(s) primitive (of a Banach algebra)      36.E
Ideal(s) principal      67.K
Ideal(s) principal (of an algebraic number field)      14.E
Ideal(s) principal fractional      67.K
Ideal(s) principal, theorem (in class field theory)      59.D
Ideal(s) pure      284.D
Ideal(s) right $\mathfrak{o}_r$       27.A
Ideal(s) right (of a ring)      368.F
Ideal(s) semiprime (of a commutative ring)      113
Ideal(s) semiprime differential (of a differential ring)      113
Ideal(s) sheaf of (of a divisor of a complex manifold)      72.F
Ideal(s) solvable (of a Lie algebra)      248.C
Ideal(s) two-sided $\mathfrak{o}$ -      27.A
Ideal(s) two-sided (of a ring)      368.P
Ideal(s) unmixed      284.D
Ideal(s) valuation (of a valuation)      439.B
Idele (of an algebraic number field)      6.C
Idele class      6.D
Idele class group      6.D
Idele group      6.C
Idele principal      6.C
Idempotent element (of a ring)      368.B
Idempotent element elementary      450.O
Idempotent element 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 Bianchi      80.J 417.B
Identity Bianchi first      App. A Table
Identity Bianchi second      App. A Table
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 homotopy (of an H-space)      203.D
Identity in Jordan algebras      231.A
Identity Jacobi (in a Lie algebra)      248.A
Identity Jacobi (on the bracket of two vector fields)      105.M
Identity Jacobi (with respect to Whitehead product)      202.P
Identity Lagrange      252.K
Identity mapping      381.C
Identity matrix      269.A
Identity operator (in a linear space)      37.C
Identity Parseval      18.B 159.A 160.C 192.K 197.C 220.B 220.C 220.E
Identity relation      102.I
Identity, resolution of      390.D
Identity, theorem of (of one variable)      198.C
Identity, theorem of (of several variables)      21.C
Igari, Satoru(1936-)      224.E
Igusa, Jun-ichi(1924-)      3.r 9.J 12.B 15.E 15.F 16.Z 16.r 32.F 118.C 118.D
Ihara zeta function      450.U
Ihara, Yasutaka(1938-)      59.A 59.r 450.A 450.M 450.Q 450.S 450.U
Iitaka, Shigeru(1942-)      72.I 72.r
Iizuka, Kenzo(1923-)      362.I
Ikawa, Mitsuru(1942-)      325.K 345.A
Ikebe, Teruo(1930-)      112.E 112.P 375.B 375.C
Ikebe, Yasuhiko(1934-)      298.r
Ikeda, Akira(l 947-)      391.C
Ikeda, Hideto(1948-)      96.r
Ikeda, Masatoshi(1926-)      200.K 200.L
Ikeda, Nobuyuki(1929-)      44.r 45.r 115.r 250.r 262.r 399.r 406.F 406.r
Ikeda, Tsutomu(1950-)      304.D
Ikehara — Landau theorem, Wiener —      123.B
Ikehara, Shikao(1904-1984)      123.B 160.G
Ill-conditioned (coefficient matrix in numerical solution of linear equations)      302.D
Illusie, Luc(1940-)      366.r
Il’in, Arlen Mikhailovich(1932-)      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(1952-)      41.D
Imanishi, Hideki(1942-)      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 Kaehler      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 global      208.D
Implicit function theorem Nash — Moser      286.J
Implicit function theorem(in locally convex spaces)      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 216.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 the large (in differential geometry)      109
In the small (in differential geometry)      109
In-state      150.D 386.A
Inaba, Eizi(1911-)      337.F
Inaba, Takashi(1951-)      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(1942-)      399.N
Ince definition      268.D
Ince — Goldstein method      268.C
Ince, Edward Lindsay(1891-1941)      107.r 252.r 254.r 268.C 268.D 288.r 289.r
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 integral in Lebesgue integral      221.D
Indefinite integralin Riemann integral      216.C
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 256.E 277.G
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

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