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| Ito K. — Encyclopedic Dictionary of Mathematics |
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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  ) 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  -manifolds 105.J
Diffeomorphism(s)  - (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 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 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 105.D
Differentiable manifold(s) with boundary of class 105.E
Differentiable manifold(s), Riernann — Roch theorem for 237.G
Differentiable mapping of class 105.J
Differentiable mapping of class 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 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  - (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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