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Ito K. — Encyclopedic Dictionary of Mathematics
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: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Dependent algebraically (elements of a ring)      369.A
Dependent algebraically (on a family of elements of a field)      149.K.
Dependent functionally (components of a mapping)      208.C
Dependent functionally, of class C (components of a mapping)      208.C
Dependent linearly (elements in a linear space)      256.C
Dependent linearly (elements in an additive group)      2.E
Dependent linearly (with respect to a difference equation)      104.D
Dependent path, d-trial      346.G
Dependent points (in a projective space)      343.B
Dependent points (in an affine space)      7.A
Dependent set      66.G
Dependent variable      165.C
Depending choice, principle of      33.F
dePossel, Rene(1905-)      77.E 367.F
Deprit, Andre Albert(1926-)      420.G
Deprit-Bartholome, Andree      420.G
Depth (of an ideal)      67.E
Derivable approximately (measurable function)      100.B
Derivable in the general sense (a set function)      380.D
Derivable in the ordinary sense (a set function)      380.D
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 over k      149.L
Derivation tree      31.E
Derivation, Lie algebra of      248.H
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 106.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(1593-1662)      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(1596-1650)      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(1931-)      150.r
Design block      see Block design
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.(1926-)      86.D
Desuspend      114.L
Detecting, error-      63.A
Determinacy projective      22.H
Determinacy, axiom of      22.H
Determinant factor (of a matrix)      269.E
Determinant(s)      103
Determinant(s) (of an element of the general linear group over a noncommutative field)      60.O
Determinant(s) Casorati      104.D
Determinant(s) critical      182.B
Determinant(s) cyclic      103.G
Determinant(s) Fredholm      217.E
Determinant(s) Gramian      103.G 208.E
Determinant(s) Hankel      142.E
Determinant(s) Hill      268.B
Determinant(s) infinite (in Hill’s method of solution)      268.B
Determinant(s) Jacobian      208.B
Determinant(s) Lopatinski      325.K
Determinant(s) of a lattice      182.B
Determinant(s) Pfaffian      103.G
Determinant(s) Vandermonde      103.G
Determinant(s) Wronskian      208.E
Determinant(s)(of a nuclear operator)      68.L
Determinantal equation, Hill      268.B
Determinateness, axiom of      33.F
Determination, coefficient of      397.H
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 $\mathbf{C}^n$)      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(1907-84)      27.r 29.r 73.A 73.r 123.D 257.r 439.L 450.S 450.r
Deutsch, Robert William(1924-)      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(DeWitts—Morette), Cecile(1922-)      150.r 359.r
DeWitt, Bryce Seligman(1923-)      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 203.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 transfmite      48.D
Diathermal wall      419.A
DiCastro, C      361.r
Dichotomy      398.C
Dickinson, Bradley W.(1948-)      86.D
Dickson, Leonard Eugene(1874-1954)      4.E 10.r 54.r 60.K 118.A 151.I 151.r 296.r 297.r
Didenko, Viktor Pavlovich      326.r
Dido(Didon, Belus Elissa)      228.A
Dido’s problem      228.A
dielectric constant      130.B
Dienes, Paul(1882-1952)      339.r
Diestel, Joseph(1943-)      37.r 443.A
Dieudonne complete      436.I
Dieudonne theorem      425.X
Dieudonne, Jean(1906-)      10.r 12.r 13.C 20.r 60.K 60.r 139.r 151.r 183.r 200.r 203.r 226.r 321.r 355.r 389.r 424.r 425.S 425.X 425.Y 435.r 436.I
Diffeomorphic $C^\infty$-manifolds      105.J
Diffeomorphism(s) $C^r$- (in nonlinear functional analysis)      286.E
Diffeomorphism(s) Anosov      126.J 136.G
Diffeomorphism(s) Axiom A      126.J
Diffeomorphism(s) group of orientation-preserving      114.I
Diffeomorphism(s) horse-shoe      126. J
Diffeomorphism(s) minimal      126.N
Diffeomorphism(s) Morse — Smale      126.J
Diffeomorphism(s) of class $C^r$      105.J
Diffeomorphism(s) Y-      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 $C^r$      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(s)      105
Differentiable manifold(s) of class $C^r$      105.D
Differentiable manifold(s) with boundary of class $C^r$      105.E
Differentiable manifold(s), Riernann — Roch theorem for      237.G
Differentiable mapping of class $C^r$      105.J
Differentiable mapping of class $C^r$ differential of (at a point)      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(s)      114.B
Differentiable structure(s) group of oriented (on a combinatorial sphere)      114.I
Differentiable structure(s) of class $C^r$      105.D
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
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