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| Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2 |
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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  -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 (-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  - (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 -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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