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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
Bundle(s) vector, tangent      108.H 147.F
Bundle(s), reduced      147.J
Bundle(s), trivial      147.E
Bunimovich, Leonid Abramovich      136.G
Bunyakovskii inequality      211.C App. Table
Bunyakovskii, Viktor Yakovlevich(1804-1889)      211.C App.A Table
Burali — Forti paradox      319.B
Burali—Forti, Cesare(1861-1931)      319.B
Burchnall, Joseph Langley(1892-1975)      387.C
Burckhardt, Johann Jakob      92.F
Burd, Vladimir Shepselevich(1938-)      290.r
Burgess, David Albert(1935-)      295.E
Burghelea, Dan(1943-)      105.r 183
Burgoyne, N.      150.D App.B Table
Burkholder, Donald L.(1927-)      168.B 262.B
Burkill, John Charles(1900-)      100.A
Burns, Daniel Matthew, Jr.(1946-)      344.C—E
Burnside conjecture      151.D
Burnside problem      161.C
Burnside problem, restricted      16 1.C
Burnside ring      431.F
Burnside theorem      151.D
Burnside, William Snow(1852-1927)      151.D 151.H 151.J 151.r 161.C 190.Q 190.r 267 431.F
Burst error      63.E
Busemann, Herbert(1905-)      178.F 178.H 178.r
Bush — Mosteller model      346.G
Bush, Robert R.      96.r 346.G
Bush, Vannevar(1890-1974)      19.E
Bustab, A.      4.A 4.C 123.E
Butkovskii, A.G.      86.r
Butzer, Paul L.(1928-)      224.E 224.r 378.r
Byrne, George D.      3O3.r
c (cardinal number of R)      49.A
C*-algebra      36.G
C*-algebra liminal      36.E
C*-algebra of type I      308.L
C*-algebra postliminal      36.E
C*-cross norm      36.H
C*-dynamical system      36.K
C*-group algebra (of a locally compact Hausdorff space)      36.L
C*-tensor product, projective      36.H
C-analytic hierarchy      356.H
C-analytic space      23.E
C-arithmetical hierarchy      356.H
C-covering space      23.E
C-equivalent almost complex manifolds      114.H
CA set      22.A
CA set (in set theory)      22.A
Cabannes, Henri(1923-)      259.r
Caflisch, Russel E.      41.D 41.E
Caianiello differential equation      291.F
Caianiello, Eduardo R.(1921-)      291.F 291.r
Cairns, Stewart Scott(1904-1982)      114.A 114.C 426
Calabi, Eugenio(1923-)      122.F 232.C 275.H 365.G 365.L
Calculable function, effective      356.C
Calculable number      22.G
Calculation, graphical      19.B
Calculator      75.A
Calculus differential      106
Calculus fundamental theorem of the infinitesimal      216.C
Calculus Heaviside      306.A
Calculus holomorphic functional      36.M
Calculus infinitesimal (in nonstandard analysis)      273.D
Calculus Kirby      114.L
Calculus of residue      198.F
Calculus of variations      46
Calculus of variations, classical theory of      46.C
Calculus of variations, conditional problems in      46.A
Calculus of variations, fundamental lemma in      46.B
Calculus predicate      411.J
Calculus predicate, with equality      411.J
Calculus prepositional      411.F
Calculus stochastic      406.A
Calculus tensor      417.A App. Table
Calderon — Zygmund singular integral operator      217.J 251.O
Calderon — Zygmund type, kernel of      217.J
Calderon, Alberto-Pedro(1920-)      36.M 217.J 217.r 224.A 224.F 251.O 274.B 274.I 321.F 323.J 345.A
Calkin algebra      36.J
Calkin, John Williams(1909-)      36.J 390.I
Callan — Symanzik equation      361.B
Callan, Curtis G.(1942-)      132.C 361.B 361.r
Callen, Herbert Bernard(1919-)      419.r
Campanato, Sergio(1930-)      168.B
Campbell — Hausdorff formula      249.R
Campbell, George Ashley(1870-?)      220.r 249.R
Camus, Jacques(1942-)      323.N
CAN estimator      399.K
Canceling      138.B
Cancellation law in a commutative semigroup      190.P
Cancellation law on the addition of natural numbers      294.B
Cancellation law on the multiplication of natural numbers      294.B
Cannon, James W.(1943-)      65.A 65.C 65.F
Cannonito, Frank Benjamin(1926—)      97.r
Canonical 1-form (of the bundle of tangent n-frames)      80.H
Canonical affine connection (on $\mathbf{R}^n$)      80.J
Canonical anticommutation relation      277.A
Canonical backward moving average representation      395.D
Canonical basis (of a chain group of a finite simplicial complex)      201.B
Canonical basis Chevalley (of a complex semisimple Lie algebra)      248.Q
Canonical basis Weyl (of a semisimple Lie algebra)      248.P
Canonical bilinear mapping (on tensor products of linear spaces)      256.I
Canonical bundle (of a differentiable manifold)      147.F
Canonical class (of an algebraic curve)      9.C
Canonical cohomology class (in Galois cohomology in class field theory)      59.H
Canonical commutation relations      351.C 377.A 377.C
Canonical coordinate system (for a conic section)      78.C
Canonical coordinates (of a Lie group) of the first kind      249.Q
Canonical coordinates (of a Lie group) of the second kind      249.Q
Canonical correlation coefficient      280.E 374.C
Canonical decomposition (of a closed operator)      251.E
Canonical decomposition theorem      86.C
Canonical divisor (of a Jacobian variety)      9.E
Canonical divisor (of a Riemann surface)      11.D
Canonical divisor (of an algebraic curve)      9.C
Canonical divisor (of an algebraic variety)      16.O
Canonical element (in the representation of a functor)      52.L
canonical ensemble      402.D
Canonical ensemble grand      402.D
Canonical equation      324.E
Canonical equation, Hamilton      271.F
Canonical field      377.C
Canonical form (of a linear hypothesis)      400.H
Canonical form (of a regular submanifold of F(M))      191.A
Canonical form (of F(M))      191.A
Canonical form Khinchin (of an infinitely divisible probability distribution)      341.G
Canonical form Kolmogorov (of an infinitely divisible probability distribution)      341.G
Canonical form Levy (of an infinitely divisible probability distribution)      341.G
Canonical form of the equation (of a quadric surface)      350.B
Canonical form Weierstrass (for an elliptic curve)      9.D
Canonical form Weierstrass (of the gamma function)      174.A
Canonical function (on a nonsingular curve)      9.E
Canonical homology basis      11.C
Canonical homomorphism (on direct products of rings)      368.E
Canonical homomorphism (on tensor products of algebras)      29.A
Canonical injection (from a direct summand)      381.E
Canonical injection (from a subgroup)      190.D
Canonical injection (from a subset)      381.C
Canonical injection (in direct sums of modules)      277.F
Canonical injection (in free products of groups)      190.M
Canonical measure (in a birth and death chain)      260.G
Canonical measure (in a diffusion process)      115.B
Canonical measure (in a Markov chain)      260.I
Canonical model      251.N
Canonical parameter local (for power series)      339.A
Canonical parameter of an arc      111.D
Canonical product, Weierstrass      429.B
Canonical projection (on direct products of modules)      277.F
Canonical projection (onto a quotient set)      135.B
Canonical representation (of a Gaussian process)      176.E
Canonical representation, generalized      176.E
Canonical scale      115.B
Canonical scores      397.M
Canonical surjection (on direct products of groups)      190.L
Canonical surjection (onto a quotient set)      135.B
Canonical surjection (to a factor group)      190.D
Canonical transformation      271.F
Canonical transformation (concerning contact transformations)      82.B
Canonical transformation, group of      271.F
Canonical transformation, homogeneous      82.B
Canonical variables (in analytical dynamics)      271.F
Canonical variates      280.E
Canonical vectorial form      417.C
Canonically bounded      200.J
Canonically polarized Jacobian variety      3.G 9.E
Cantelli lemma, Borel —      342.B
Cantelli theorem, Glivenko —      374.E
Cantelli, Francesco Paolo(1875-)      342.B 374.E
Cantor discontinuum      79.D
Cantor intersection theorem      273.F
Cantor normal form (for an ordinal number)      312.C
Cantor set      79.D
Cantor set general      79.D
Cantor — Lebesgue theorem      159.J
Cantor, G.      47
Cantor, Georg(1845-1918)      20 33.A 34.r 47.r 49.D 49.r 79.D 93.D 98.r 117.A 156.A 159.J 267 273.F 294.A 294.E 294.r 312.A 312.C 355.r 381.F 381.r 426
Cantor, Moritz Benedikt(1829-1920)      20.r 26.r 38.r 187.r 209.r 265.r 266.r 296.r 360.r 372.r
Cantor’s theory of real numbers      244.E
Cantwell, John C.      154.H
Cap product (of a cochain and a chain)      200.K
Cap product (of a cohomology class and a homology class)      201.K
Capability, error-correcting      63.B
Capacitable set      48.H
Capacitary dimension      48.G
Capacitary mass distribution      338.K
Capacitated network      281.C
Capacity $\alpha$-      169.C
Capacity (of a prime ideal)      27.A
Capacity (of a set)      48 260.D
Capacity (of discrete memeoryless channel)      213.F
Capacity (transportation and scheduling)      281.D
Capacity constraint      281.D
Capacity Newtonian      48.B
Capacity Newtonian exterior      48.H
Capacity Newtonian inner      48.F
Capacity Newtonian interior      48.F
Capacity Newtonian outer      48.H
Capacity of order $\alpha$      169.C
Capacity, analytic      169.F
Capacity, continuous analytic      164.J
Capacity, ergodic      213.F
Capacity, logarithmic      48.B
Capacity, stationary      213.F
Capillary wave      205.F
Cappell, Sylvain E.(1946-)      65.D 114.K 114.r
Capture, complete      420.D
Capture, partial      420.D
CAR      377.A
Caratheodory measure      270.E
Caratheodory outer measure      270.E
Caratheodory pseudodistance      21.D
Caratheodory, Constantin(e)(1873-1950)      20.r 21.O 21.Q 43.J 43.K 43.r 46.r 74.r 77.C 77.r 82.r 136.A 136.C 180.r 198.r 246.G 255.D 255.E 270.E 316.F 320.r 321.r 324.r 333.B 333.C 333.r 334.E 438.B
Cardano formula (on a cubic equation)      10.D App. Table
Cardano, Girolamo(1501-1576)      8 10.D 294.A 294.r 360.* 360.r 444 App.A Table
Cardinal number(s)      49.A 312.D
Cardinal number(s) corresponding to an ordinal number      49.E
Cardinal number(s) of $\mathbf{N}$      49.A
Cardinal number(s) of $\mathbf{R}$      49.A
Cardinal number(s) of a set      49.A 312.D
Cardinal number(s) of all real-valued functions on [0, ]      49.A
Cardinal number(s) of continuum      49. A
Cardinal number(s) strongly compact      33.E
Cardinal number(s) strongly inaccessible      33.E
Cardinal number(s) weakly compact      33.E
Cardinal number(s) weakly inaccessible      33.E
Cardinal number(s), comparability theorem for      49.B
Cardinal number(s), finite      49.A
Cardinal number(s), infinite      49.A
Cardinal number(s), measurable      33.E
Cardinal number(s), transfinite      49.A
Cardinal product (of a family of ordered sets)      311.F
Cardinal sum (of a family of ordered sets)      311.F
Cardinality      33.F
Cardinality (of a set)      49.A 312.D
Cardinality (of an ordinal number)      49.E
Carding, Lars(1919-)      112.G 112.N 189.B 189.r 321.G 323.H 325.F 325.J 325.r 345.A
Cardioid      93.H
Cardoso da Silva, Fernando Antonio Figueiredo(1939-)      320.r
Carleman condition, Denjoy —      168.B
Carleman inequality      App. A Table
Carleman theorem (on asymptotic expansions)      30.A
Carleman theorem (on bounded functions)      43.F
Carleman type, kernel of      217.J
Carleman, Torsten(1892-1949)      20 30.A 41.D 43.H 58.F 68.L 112.N 125.A 160.r 164.J 168.B 217.J 217.r 240.K 321.F 323.J 323.M 336.I App.A Table
Carleson, Fritz(1888-1952)      121.C
Carleson, Lennart A.E.(1928-)      43.F 43.G 43.r 48.r 77.E 124.C 159.H 164.I 168.B 169.r 352.F
Carlson, Bille Chandler(1924-)      389.r
Carlson, James A.      21.N
Carmeli, Moshe(1933-)      359.r
Carnahan, Brice(1933-)      304.r
Carnot, Lazare Nicholas Marguerite(1753-1823)      181 266
Carrell, James Baldwin(1940-)      226.r
Carrier (of a differential form)      108.Q
Carrier (of a distribution)      125.D
Carrier (of a function)      125.B 168.B
Carrier (of a real-valued function)      425.R
Carrol, J.B.      346.E 346.r
Carroll, Robert Wayne(1930-)      378.r
Carson integral      App. A Table
Carson, John R.      App.A Table
Cartan connection      80.M
Cartan criterion of semisimplicity (on Lie algebras)      248. F
Cartan criterion of solvability (on Lie algebras)      248.F
Cartan formula for Steenrod pth power operations      64.B
Cartan formula for Steenrod square operations      64.B
Cartan integer (of a semisimple Lie algebra)      248.N
Cartan invariant (of a finite group)      362.I
Cartan involution      437.X
Cartan maximum principle      338.L
Cartan pseudoconvex domain      21.I
Cartan pseudoconvex domain, locally      21.I
Cartan relative integral invariant      219.B
Cartan space      152.C
Cartan subalgebra (of a Lie algebra)      248.I
Cartan subalgebra (of a symmetric Riemannian space)      413.F
Cartan subgroup (of a group)      249.I
Cartan subgroup (of an algebraic group)      13.H
Cartan theorem on analytic sheaves (H. Cartan)      72.E
Cartan theorem on representations of Lie algebras (E. Cartan)      248.W
Cartan — Kaehler existence theorem      428.E
Cartan — Mal’tsev — Iwasawa theorem (on maximal compact subgroups)      249.S
Cartan — Thullen theorem      21.H
Cartan — Weyl theorem      248.W
Cartan, differential form of Maurer —      249.R
Cartan, E.      50
Cartan, Elie(1869-1951)      13.H 21.P 50 80.A 80.M 80.N 90.r 105.r 109.* 109.r 110.B 110.r 111.r 137.* 137.r 147.A 152.C 178.A 178.B 183 191.E 191.H 191.I 218.D 218.E 219.B 219.r 248.F 248.I 248.K 248.N 248.W 248.r 249.E 249.I 249.R 249.S 249.V 249.r 285.r 344.A—C 344.F 362.I 364.F 365.B 365.I 384.A 412.* 412.r 413.F 413.r 417.r 427.B 428.E 428.G 434.B 437.X App.A Table
Cartan, Henri(1904-)      3.r 17.C 17.r 20.* 20.r 21.E 21.H 21.I 21.L 21.O 21.Q 21.r 23.B 23.E 23.r 28.r 32.r 36.L 50 52.r 58.D 64.B 70.F 70.r 72.E 80.r 87.r 94.r 105.r 124.B 124.r 192.r 198.r 200.I 200.r 201.J 208.r 210.r 225.r 272.J 277.r 338.E 338.L 338.M 338.P 383.J 383.r 426
Cartan, system of differential equations of Maurer —      249.R
Carter subgroup      151.D
Carter, Roger William(1934-)      151.D 151.r
Cartesian coordinates (in an affine space)      7.C
Cartesian product (of complexes)      70.C 70.E
Cartesian product (of mappings)      381.C
Cartesian product (of sets)      381.B 381.E
Cartesian space      140
Cartier divisor      16.M
Cartier operator      9.E
Cartier, Pierre Emil(1932-)      9.E 12.B 16.E 203.H
Cartwright, Mary L.      62.E
Case complexity, worst      71.A
Case, James H.      108.C
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