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

Derivation (of a commutative ring)      113
Derivation (of a field)      149.L
Derivation (of a Lie algebra)      248.H
Derivation (of a linear operator in a C*-algebra)      36.K
Derivation (of an algebra)      200.L
Derivation (of an algebraic function field)      16.O
Derivation *-      36.K
Derivation inner (in a Lie algebra)      248.H
Derivation inner (in an associative algebra)      200.L
Derivation invariant (on an Abelian variety)      3.F
Derivation Lie algebra of      248.H
Derivation over k      149.L
Derivation tree      31.E
Derivative (of a distribution)      125.E
Derivative (of a function)      106.A
Derivative (of a holomorphic function)      198.A
Derivative (of a hyperfunction)      125.X
Derivative (of a polynomial)      337.G
Derivative (of an element in a differential ring)      113
Derivative angular (of a holomorphic function)      43.K
Derivative approximate (of a measurable function)      100.B
Derivative at a point      106.A
Derivative covariant (of a tensor field in the direction of a tangent vector)      417.B
Derivative covariant (of a tensor field)      80.I App. Table
Derivative covariant (of a vector field along a curve)      80.I
Derivative covariant (of a vector field)      80.I
Derivative directional      106.G
Derivative distribution      125.E
Derivative exterior (of a differential form)      105.Q
Derivative first-order      106.A
Derivative Frechet      286.E
Derivative free      235.C
Derivative Gateaux      286.E
Derivative general (of a set function)      380.D
Derivative general lower (of a set function)      380.D
Derivative general upper (of a set function)      380.D
Derivative generalized      125.E
Derivative higher-order (of a differentiable function)      106.D.App. A Table
Derivative higher-order partial      106.H
Derivative Lagrangian      205.A
Derivative left (on the left)      106.A
Derivative Lie (of a differential form)      105.Q
Derivative Lie (of a tensor field)      105.O
Derivative normal      106.G
Derivative nth (of a differentiable function)      106.D
Derivative ordinary (of a set function)      380.D
Derivative ordinary lower (of a set function)      380.D
Derivative ordinary upper (of a set function)      380.D
Derivative partial      106.F K
Derivative partial, nth order      106.H
Derivative Radon — Nikodym      380.C
Derivative right (on the right)      106.A
Derivative Schwarzian      App. A Table
Derivative spherical (for an analytic or meromorphic function)      435.E
Derivative variational      46.B
Derivative weak      125.E
Derivatives and primitive functions      App. A Table
Derived (language)      31.D
Derived algebra (of a Lie algebra)      248.C
Derived function      106.A
Derived function nth      106.D
Derived group (of a group)      190.H
Derived neighborhood      65.C
Derived neighborhood second barycentric      65.C
Derived normal model (of a variety)      16.F
Derived series (of a Lie algebra)      248.C
Derived set (of a set)      425.O
Derived sheaf      125.W
Derived unit      414.P
Desargues theorem      155.E 343.C
Desargues, Gerard      155.E 181 265 329 343.C
Desarguesian geometry, non-      155.E 343.C
Descartes theorem      10.E
Descartes, R.      101
Descartes, R.folium of      93.H
Descartes, Rene      7.C 10.E 20 93.H 101 180. A 181 265 426
Descending central series (of a Lie algebra)      248.C
Descending chain (in a lattice)      243.F
Descending chain (in an ordered set)      311.C
Descending chain (of (normal) subgroups of a group)      190.F
Descending chain condition (for a (normal) subgroup of a group)      190.F
Descending chain condition (in an ordered set)      311.C
Descent curve of steepest      46.A
Descent line of swiftest      93.H
Descent method of steepest      212.C
Descriptive set theory classical      356.H
Descriptive set theory effective      356.H
Deser, Stanley      150.r
Design block      102.M
Design central composite      102.M
Design completely randomized      102.A
Design factorial      102.H
Design first-order      102.M
Design fractional factorial      102.I
Design matrix      102.A 403.D
Design of experiments      102
Design second-order      102.M
Design Youden square      102.K
Design-of-experiment analysis      403.D
Designs for estimating parameters      102.M
Designs for exploring a response surface      102.M
Designs for two-way elimination of heterogeneity      102.K
Desingularization (of an analytic space)      23.D
Desoer, Charles A.      86.D
Desuspend      114.L
Detecting, error-      63.A
Determinacy axiom of      22.H
Determinacy projective      22.H
Determinant (of a nuclear operator)      68.L
Determinant (of an element of the general linear group over a noncommutative field)      60.O
Determinant Casorati      104.D
Determinant critical      182.B
Determinant cyclic      103.G
Determinant factor (of a matrix)      269.E
Determinant Fredholm      217.E
Determinant Gramian      103.G 208.E
Determinant Hankel      142.E
Determinant Hill      268.B
Determinant infinite (in Hill’s method of solution)      268.B
Determinant Jacobian      208.B
Determinant Lopatinski      325.K
Determinant of a lattice      182.B
Determinant Pfaffian      103.G
Determinant Vandermonde      103.G
Determinant Wronskian      208.E
Determinant(s)      103
Determinantal equation, Hill      268.B
Determinateness, axiom of      33.F
Determination, coefficient of      397.H J
Determination, orbit      309.A
Determined system of differential operators      112.R
Determined system of partial differential equations      320.F
Determining set (of a domain in )      21.C
Deterministic (in prediction theory)      395.D
Deterministic (Turing machine)      31.B
Deterministic linear bounded automaton      31.D
Deterministic process      127.B
deTurck, Dennis M.      364.r
Deuring — Heilbronn phenomenon      123.D
Deuring, Max Friedrich      27.r 29.r 73.A r r
Deutsch, Robert William      55.r
Developable function, asymptotically      30.A
Developable space      425.AA
Developable surface      111.I
Development along a curve      364.B
Development of a curve      80.N 111.H 364.B
Deviation large      250.B
Deviation mean absolute      397.C
Deviation point      335.B
Deviation standard      341.B 342.C 397.C

Devices, peripheral      75.B
deWitt, Cecile      150.r 359.r
DFT(Discrete Fourier Transform)      142.D
Diagonal (of a Cartesian product of sets)      381.B 436.A
Diagonal mapping (of a graded coalgebra)      203.B F
Diagonal matrix      269.A
Diagonal morphism (in a category)      52.E
Diagonal partial sum (of a double series)      379.E
Diagonal sum (of a matrix)      269.F
Diagonalizable (linear transformation)      269.L
Diagonalizable operator (in an Abelian von Neumann algebra)      308.G
Diagram      52.C
Diagram (of a symmetric Riemann space)      413.F
Diagram arrow      281.D
Diagram associated (in irreducible representations of orthogonal groups)      60.J
Diagram commutative      52.C
Diagram Coxeter (of a complex semisimple Lie algebra)      248.S
Diagram Dynkin (of a complex semisimple Lie algebra)      248.S App. Table
Diagram extended Dynkin      App. A Table
Diagram Feynman      146.B
Diagram in a category      52.C
Diagram mutually associated      60.J
Diagram Newton      254.D
Diagram Satake (of a compact symmetric Riemannian space)      437.AA
Diagram Satake (of a real semisimple Lie algebra)      248.U App. Table
Diagram scatter      397.H
Diagram Schlafli (of a complex semisimple Lie algebra)      248.S
Diagram Young      362.H
Diameter (of a central conic)      78.G
Diameter (of a solid sphere)      140
Diameter (of a subset in a metric space)      273.B
Diameter conjugate (of a diameter of a central conic)      78.G
Diameter transfinite      48.D
Diathermal wall      419.A
DiCastro, C      361.r
Dichotomy      398.C
Dickinson, Bradley W.      86.D
Dickson, Leonard Eugene      4.E 10.r 54.r 60.K 118.A 151.I r
Didenko, Viktor Pavlovich      326.r
Dido      228.A
Dido’s problem      228.A
dielectric constant      130.B
Dienes, Paul      339.r
Diestel, Joseph      37.r 443.A
Dieudonne complete      436.I
Dieudonne theorem      425.X
Dieudonne, Jean      10.r 12.r 13.C 20.r 60.K r X Y
Diffeomorphic $C^{\infty}$ -manifolds      105.J
Diffeomorphism - (in nonlinear functional analysis)      286.E
Diffeomorphism Axiom A      126.J
Diffeomorphism group of orientation-preserving      114.I
Diffeomorphism horse-shoe      126.J
Diffeomorphism minimal      126.N
Diffeomorphism Morse — Smale      126.J
Diffeomorphism of class       105.J
Diffeomorphism Y-      136.G
Diffeomorphism(s) Anosov      126.J 136.G
Diffeotopy theorem      178.E
Difference      102.E 104.A
Difference analog      304.E
Difference backward      223.C App. Table
Difference central      223.C 304.E App. Table
Difference cocycle      305.B
Difference divided      223.D
Difference equation      104
Difference equation geometric      104.G
Difference equation homogeneous      104.C
Difference equation inhomogeneous      104.C
Difference equation linear      104.C
Difference equation nonhomogeneous      104.C
Difference finite      223.C
Difference forward      304.E
Difference group (of an additive group)      190.C
Difference method      303.A
Difference of the nth order      104.A
Difference of two sets      381.B
Difference primary      305.C
Difference product      337.I
Difference quotient      104.A
Difference scheme      304.F
Difference scheme of backward type      304.F
Difference scheme of forward type      304.F
Difference second      104.A
Difference set      102.E
Difference symmetric      304.E
Difference table      223.C
Difference-differential equation      163.A
Different (of a maximal order)      27.B
Different (of an algebraic number field)      14.J
Different relative      14.J
Differentiable at a point (a complex function)      198.A
Differentiable at a point (a real function)      106.A
Differentiable complex function      21.C
Differentiable dynamical system of class       126.B
Differentiable Frechet      286.E
Differentiable Gateaux      286.E
Differentiable in the sense of Stolz      106.G
Differentiable infinitely      106.K
Differentiable left (on the left)      106.A
Differentiable manifold of class       105.D
Differentiable manifold Riernann — Roch theorem for      237.G
Differentiable manifold with boundary of class       105.E
Differentiable manifold(s)      105
Differentiable mapping of class C      105.J
Differentiable n-times      106.D
Differentiable n-times continuously      106.K
Differentiable on a set      106.A
Differentiable partially      106.F
Differentiable pinching problem      178.E
Differentiable right (on the right)      106.A
Differentiable semigroup      378.F
Differentiable slice theorem      431.C
Differentiable structure group of oriented (on a combinatorial sphere)      114.I
Differentiable structure of class       105.D
Differentiable structure(s)      114.B
Differentiable termwise (infinite series with function terms)      379.H
Differentiable totally      21.C 106.G
Differentiable transformation group      431.C
Differentiable with respect to the parameter (a distribution)      125.H
Differential $\mathfrak D$ -(on an algebraic curve)      9.F
Differential ( = boundary operator)      200.H
Differential ( = coboundary operator)      200.F
Differential (Frechet derivative)      286.E
Differential (of a differentiable function)      106.B
Differential (of a differentiable mapping at a point)      105.J
Differential (of a function on a differentiable manifold)      105.I
Differential Abelian (of the first, second, third kind)      11.C 367.H
Differential analytic (on a Riemann surface)      367.H
Differential analyzer      19.E
Differential and integral calculus      App. A Table
Differential automorphism      113
Differential calculus      106
Differential coefficient      106.A
Differential coefficient partial      106.A
Differential conjugate (on a Riemann surface)      367.H
Differential covariant (of a differential form)      80.G
Differential covariant (of a tensor field)      80.I L
Differential covariant (of a vector field)      80.I
Differential cross section      375.A 386.B
Differential divisor (of an algebraic curve)      9.C
Differential divisor class (of a Riemann surface)      11.D
Differential equation adjoint      252.K
Differential equation algebraic      113 288.A
Differential equation almost periodic      290.A
Differential equation Beltrami      352.B
Differential equation Bernoulli      App. A Table
Differential equation Bessel      39.B App. Table
Differential equation Briot — Bouquet      288.B 289.B
Differential equation Caianiello      291.F
Differential equation Cauchy — Riemann      198.A

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