Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2 :: Электронная библиотека попечительского совета мехмата МГУ

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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

Representation module faithful      362.C
Representation module of      69.D
Representation momentum      351.C
Representation normal (of a von Neumann algebra)      308.C
Representation ordinary (of a finite group)      362.G
Representation parametric      165.C
Representation parametric (of a subspace of an affine space)      7.C
Representation parametric (of Feynman integrals)      146.B
Representation permutation (of a group)      362.B
Representation permutation, reciprocal (of a group)      362.B
Representation polynomial (of GL(V))      60.D
Representation position      351.C
Representation problem (on surfaces)      246.I
Representation projective (of a group)      362.J
Representation projective, irreducible      362.J
Representation quotient (of a linear representation)      362.C
Representation rational (of a matrix group)      226.B
Representation rational (of GL(V))      60.D
Representation real (of a Lie group)      349.O
Representation reciprocal linear (of an algebra)      362.C
Representation reciprocal permutation (of a group)      362.B
Representation reduced (of an algebra)      362.E
Representation reducible      362.C
Representation regular (of a locally compact group)      69.B
Representation regular (of a topological transformation group)      437.A
Representation regular, left (of a group)      362.B
Representation regular, left (of an algebra)      362.C
Representation regular, right (of a group)      362.B
Representation regular, right (of an algebra)      362.E
Representation ring      237.H
Representation Schrodinger      351.C
Representation semisimple      362.C
Representation similar      362.C
Representation similar matrix (semilinear mapping)      256.D
Representation similar projective      362.J
Representation simple      362.C
Representation slice      431.C
Representation space (of a Banach algebra)      36.D
Representation space (of a Lie algebra)      248.B
Representation space (of a Lie group)      249.O
Representation space (of a unitary representation)      437.A
Representation special (of a Jordan algebra)      231 C
Representation spectral      390.E
Representation spherical (of a differentiable manifold)      111.G
Representation spherical (of a space curve)      111.F
Representation spherical (of a unimodular locally compact group)      437.Z
Representation spin      61.E
Representation spin(of SO(n))      60.J
Representation spinor, of rank      258.B
Representation strongly continuous (of a topological group)      69.B
Representation sub-      362.C
Representation sub- (of a projective representation)      362.J
Representation tensor (of a general linear group)      256.M
Representation tensor product of      362.C
Representation translation, theorem      375.H
Representation transposed      362.E
Representation tree      96.D
Representation unit (of a group)      362.C
Representation vector (of a Clifford group)      61.D
Representation weakly continuous (of a topological group)      69.B
Representation without multiplicity      437.G
Representation zero (of an algebra)      362.C
Representation(s)      362.A
Representative (of an equivalence class)      135.B
Representative function (of a compact Lie group)      249.U
Representative ring (of a compact Lie group)      249.U
Representing function (of a predicate)      356.B
Representing function (of a subset)      381.C
Representing measure      164.C
Reproducing kernel      188.G
Reproducing property (of a probability distribution)      341.E App. Table
Reproduction function      263.A
Requirements, variational principles with relaxed continuity      271.G
Reseboom, J.H.      376.r
Reserve, liability      214.B
Residual (subset of a directed set)      311.D
Residual limit set      234.E
Residual set      126.H 425.N
Residual spectrum      390.A
Residue (class) algebra      29.A
Residue (class) field      149.C 368.F 439.B
Residue (class) ring (modulo an ideal)      368.F
Residue calculus of      198.F
Residue character      295.D
Residue class (modulo an ideal in a ring)      368.F
Residue norm- (modulo p)      14.P
Residue norm- (symbol)      14.Q 257.F
Residue of the nth power (modulo p)      14.M
Residue power- (symbol)      14.N
Residue quadratic      297.H
Residue system modulo m complete      297.G
Residue system modulo m reduced      297.G
Residue theorem      198.E
Residue theorem (on a nonsingular curve)      9.E
Residue(s) (of a complex function)      198.E
Resistance, negative      318.B
Resistance, specific      130.B
Resnikoff, George Joseph      STR
Resolution      200.H
Resolution 2l      102.I
Resolution 2l + 1      102.I
Resolution complete free (of Z)      200.N
Resolution complex spectral      390.E
Resolution flabby      125.W
Resolution injective (in an Abelian category)      200.I
Resolution minimal      418.C
Resolution of singularities      16.L
Resolution of singularities (of an analytic space)      23.D 418.B
Resolution of the identity      390.D
Resolution projective (in an Abelian category)      200.I
Resolution right (of an A-module)      200.F
Resolution right injective (of an A-module)      200.F
Resolution spectral      390.E
Resolution standard (of $\mathbf Z$ )      200.M
Resolutive      207.B
Resolutive compactification      207.B
Resolvent (of a kernel)      217.D
Resolvent (of a linear operator)      251.F
Resolvent (operator of a Markov process)      261.D
Resolvent convergence norm      331.C
Resolvent convergence strong      331.C
Resolvent cubic      App. A Table
Resolvent equation      251.F
Resolvent set (of a linear operator)      251.F 390.A
Resonance model, dual      132.C
Resonance pole      331.F
Resonance theorem      37.H
Response      405.A
Response surface      102.M
Response surface designs for exploring      102.M
Rest energy      359.C
Rest point (of a trajectory)      126.D
Restitutive force      318.B
Restricted (Lorentz group)      258.A
Restricted Burnside problem (in group theory)      161.C
Restricted differential system      191.I
Restricted direct product      6.B
Restricted direct product (of an infinite number of groups)      190.L
Restricted direct product (of locally compact groups)      6.B
Restricted holonomy group      80.D 364.E
Restricted homogeneous holonomy group      364.E
Restricted homotopy      202.B
Restricted Lie algebra      248.V
Restricted minimal condition (in a commutative ring)      284.A
Restricted quantifier      33.B
Restricted three-body problem      420.F
Restriction (in a presheaf)      383.A
Restriction (of a connection)      80.F
Restriction (of a continuous flow)      126.D
Restriction (of a distribution)      125.D

Restriction (of a mapping)      381.C
Restriction crystallographic      92.A
Restriction scalar (of a B-module)      277.L
Restriction unitary (of a semisimple Lie algebra)      248.P
Resultant system of      369.E
Resultant(s)      369.E
Retardation      163.A
Retarded differential equation      163.A
Retarded type (functional differential equation)      163.A
retract      202.D
Retract absolute      202.D
Retract absolute neighborhood      202.D
Retract deformation      202.D
Retract fundamental      382.C
Retract fundamental absolute (FAR)      382.C
Retract fundamental absolute neighborhood (FANR)      382.C
Retract neighborhood      202.D
Retract neighborhood deformation      202.D
Retract strong deformation      202.D
Retraction      202.D
Retrieval, information (system)      96.F
Retrospective study      40.E
RETURN      127.C
Return first- (mapping, map)      126.C
Return maximum      127.B
Reuleaux triangle      89.E 111.E
Reuleaux, Franz      89.E 111.E
Revalued random variable      342.C
Reversal, time      258.A
Reversed process      261.F
Review technique, program evaluation and      376
Revolution ellipsoid of      350.B
Revolution elliptic paraboloid of      350.B
Revolution hyperboloid of, of one sheet      350.B
Revolution hyperboloid of, of two sheets      350.B
Revolution surface of      111.I
Revuz, Daniel Robert      260.J 261.E
Reynolds law of similarity      205.C
Reynolds number      116.B 205.C
Reynolds number, magnetic      259
Reynolds, Osborne      116.B 205.C 259
Rhaeticus, Georg Joachim      432.C
Rheinboldt, Werner Carl      301.r
Rhodes, John L.      31.r
Ribenboim, Paulo      145.r
Ribet, Kenneth A.      14.L 450.J r
Riccati differential equation      App. A Table
Riccati differential equation generalized      App. A Table
Riccati differential equation matrix      86.E
Riccati equation, matrix      405.G
Riccati, Jacopo Francesco      86.E 107.A 405.G App. A Table
Ricci curvature      364.D
Ricci equation      365.C
Ricci formula      417.B App. Table
Ricci tensor      364.D 417.B App. Table
Ricci, Curbastro Gregorio      109 364.D 365.C 417.B F Table
Ricci, Matteo      57.C
Rice, John Richard      299.r 336.r
Richard paradox      319.B
Richard, Jules Antoine      319.B
Richardson method      302.C
Richardson, C.H.      104.r
Richardson, Lewis Fry      302.C 304.E
Richardson, Roger Wolcott, Jr.      431.r
Richert, Hans-Egon      4.C 123.D E r
Richter, Hans      443.A
Richter, Wayne H.      81.D r
Richtmyer, Robert Davis      304.r
Rickart, Charles Earl      36.r 231.r 443.A
Rickman, Seppo U.      352.F
Rieffel, Marc A.      308.H 443.H
Riemann $\Theta$ function      3.L
Riemann $\zeta$ function      450.V
Riemann (differential) equation, Cauchy-      198.A 274.G
Riemann (differential) equation, Cauchy- (for a holomorphic function of several complex variables)      21.C
Riemann (differential) equation, Cauchy- (for a holomorphic function of two complex variables)      320.F
Riemann bilinear relations, Hodge-      16.V
Riemann continuation theorem      21.F
Riemann differential equation      App. A.Table 18.I
Riemann function (of a Cauchy problem)      325.D
Riemann hypothesis      450.A I P Q
Riemann integrable (function)      216.A
Riemann integral      37.K 216.A
Riemann lower integral      216.A
Riemann mapping theorem      77.B
Riemann matrix      3.I
Riemann method of summation      379.S
Riemann non-Euclidean geometry      285.A
Riemann P-function      App. A Tables
Riemann period inequality      3.L
Riemann period relation      3.L
Riemann problem      253.D
Riemann sphere      74.D
Riemann structure, Cauchy-      344.A
Riemann sum      216.A
Riemann surface abstract      367.A
Riemann surface classification theory of      367.E
Riemann surface closed      367.A
Riemann surface elliptic      367.D
Riemann surface hyperbolic      367.D
Riemann surface maximal      367.F
Riemann surface open      367.A
Riemann surface open, of null boundary      367.E
Riemann surface open, of positive boundary      367.E
Riemann surface parabolic      367.D
Riemann surface prolongable      367.F
Riemann surface(s)      367
Riemann theorem (on removable singularities)      198.D
Riemann theorem (on series with real terms)      379.C
Riemann upper integral      216.A
Riemann — Hilbert problem (for integral equations)      217.J
Riemann — Hilbert problem (for linear ordinary differential equations)      253.D
Riemann — Hurwitz formula (on coverings of a nonsingular curve)      9.I
Riemann — Hurwitz relation      367.B
Riemann — Lebesgue theorem      159.A 160.A
Riemann — Roch group      366.D
Riemann — Roch inequality (on algebraic surfaces)      15.D
Riemann — Roch theorem (for compact complex surface)      366.C
Riemann — Roch theorem (on algebraic surfaces)      15.D
Riemann — Roch theorem (on nonsingular algebraic curves)      9.C
Riemann — Roch theorem (on Riemann surfaces)      11.D
Riemann — Roch theorem for a line bundle      366.C
Riemann — Roch theorem for an adjoint system      15.D
Riemann — Roch theorem for differentiable manifolds      237.G
Riemann — Roch theorem generalized (on algebraic curves)      9.F
Riemann — Roch theorem(s)      366
Riemann — Roch type Grothendieck theorem of      366.D
Riemann — Roch type Hirzebruch theorem of      366.B
Riemann — Stieltjes integral      94.B 166.C
Riemann, G.F.B.      363
Riemann, G.F.B.P-function of      253.B
Riemann, Georg Friedrich Bernhard      3.I L r9.C F I r C P W B D Q D B D B E S J B I Q Tables 14.II 18.I
Riemannian connection      80.K 364.B
Riemannian connection coefficients of      80.L
Riemannian curvature      364.D
Riemannian foliation      154.H
Riemannian geometry      137 App. Table
Riemannian homogeneous space      199.A
Riemannian homogeneous space symmetric      412.B
Riemannian manifold flat      364.E
Riemannian manifold irreducible      364.E
Riemannian manifold isometric      364.A
Riemannian manifold locally flat      364.E
Riemannian manifold normal contact      110.E
Riemannian manifold reducible      364.E
Riemannian manifold(s)      105.P 286.K 364
Riemannian metric      105.P
Riemannian metric pseudo-      105.P
Riemannian metric volume element associated with      105.W
Riemannian product (of Riemannian manifolds)      364.A

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