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Rektorys K. — Survey of Applicable Mathematics.Volume 2.
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Название: Survey of Applicable Mathematics.Volume 2.Автор: Rektorys K. Аннотация: This major two-volume handbook is an extensively revised, updated second edition of the highly praised Survey of Applicable Mathematics, first published in English in 1969.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2ndГод издания: 1994Количество страниц: 978Добавлена в каталог: 30.08.2014Операции: Положить на полку |
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Предметный указатель
Power(s) of natural numbers, sums of I 16 Power(s) of trigonometric functions I 76 Power(s) with integral exponents I 11 Power(s), curves I 125 Power(s), function I 365 II II Power(s), function, of complex variable II 274 Power(s), function, of test II 755 Power(s), method II 631 II Power(s), series I 645 ff II Power(s), series, absolute convergence I 646 Power(s), series, application of I 658 Power(s), series, arithmetic operations with I 647 Power(s), series, convergence I 646 Power(s), series, definition and theorems I 645 ff Power(s), series, differentiation and integration I 649 Power(s), series, economized II 674 Power(s), series, expansion into I 650 I Power(s), series, in two or more variables I 651 Power(s), series, inversion of I 647 Power(s), series, substitution in another power series I 649 Power(s), series, with centre at origin I 646 Precompact space II 329 Preconditioner II 622 Preconditioning of iterative method II 621 Prediction, interval II 774 Prediction, theory II 821 Predictor-corrector methods II 508 Predictor-corrector methods, Milne device II 510 Prehilbert (pre-Hilibert) space II 333 Preservation of region, theorem on I 419 Prime ends, Caratheodory theory of II 304 Primitive function I 448 II Primitive period of sine curve I 155 Principal branch of logarithm II 273 Principal components II 785 Principal normal of curve I 268 Principal part of discretization error II 487 II Principal part of Laurent series II 266 Principal vectors I 227 Prism, centroid of I 104 Prism, truncated triangular I 104 Prism, volume and surface areas of I 104 Prismatic pentahedral three-dimensional element II 443 Probability, probabilities see also "Random probability probabilities" Probability, probabilities, a posteriori, a priori II 693 Probability, probabilities, axioms of II 690 Probability, probabilities, central limit theorems II 730 II Probability, probabilities, classical definition of II 691 Probability, probabilities, combinatorial calculation of II 691 Probability, probabilities, conditional II 692 Probability, probabilities, convergence in II 731 Probability, probabilities, density II 696 II Probability, probabilities, density, conditional and marginal II 706 Probability, probabilities, density, of transformed random variable II 727 Probability, probabilities, distribution II 694 Probability, probabilities, distribution, function II 695 II Probability, probabilities, distribution, function, conditional and marginal II 706 Probability, probabilities, law of large numbers, weak and strong II 730 II Probability, probabilities, limit theorems II 730 ff Probability, probabilities, measure II 691 Probability, probabilities, of event II 690 Probability, probabilities, of failure II 786 Probability, probabilities, of intersection of events II 692 Probability, probabilities, of survival II 786 Probability, probabilities, paper II 745 Probability, probabilities, paper, normal II 745 Probability, probabilities, rule, total II 692 Probability, probabilities, theory II 688 ff Probability, probabilities, transition II 799 II Process II 797 Process in continuous time (random function) II 797 Process in discrete time (random sequence, time series) II 797 Process with continuous and discrete states II 797 Process with independent increments II 817 Process, arrival II 806 Process, autocorrelation function of II 811 Process, autoregressive (AR) II 812 II Process, autovariance, function of II 811 Process, autovariance, matrix II 813 Process, birth-and-death II 803 ff Process, branching (Galton — Watson) II 798 Process, counting II 797 Process, cross-covariance function II 814 Process, ergodic II 814 Process, estimation of correlation characteristics II 814 Process, harmonic II 813 II Process, Markov II 799 Process, Markov chain II 804 Process, mean of II 810 II Process, mixed (ARMA) II 813 II Process, moving average (MA) II 812 II Process, normal II 812 Process, Poisson II 798 II Process, Poisson, intensity of II 798 Process, realization (trajectory, path, sample function) of II 797 Process, spectral (Fourier) analysis of II 814 Process, spectrum II 815 Process, stationary II 811 Process, univariate and multivariate II 797 Process, white noise II 798 II II Process, Wiener II 799 Process, Yule II 803 Product of matrices I 49 Product of sets I 45 Product of tensors I 255 Product of vectors I 228 ff Product, method II 534 ff Product-limit (Kaplan — Meier) estimator II 791 Production planning II 831 Projective transformations of plane I 190 Projective transformations of regular conic section I 191 Prolate circular involute I 135 Prolate cycloid I 129 Prolate epicycloid I 131 Prolate spheroid I 110 I Proper function of eigenvalue problem II 81 Proper value II 81 Pseudo-periodic function II 49 Pseudoinverse of matrix II 609 Pyramid, centroid, position of I 105 Pyramid, frustum, volume of I 106 Pyramid, regular frustum, lateral area of I 106 Pyramid, triangular, volume of I 105 QL method II 637 QR factorization II 637 QR method II 636 Quadrant(s), definition I 168 Quadrant(s), first, reduction of trigonometric functions to I 73 Quadrant(s), signs of trigonometric functions in I 72 Quadratic element, one-dimensional II 432 Quadratic element, two-dimensional II 434 Quadratic equations I 39 Quadratic equations, discriminant of I 39 Quadratic form I 62 II Quadratic form, congruent I 68 Quadratic form, matrix notation I 64 Quadratic functional (functional of energy) II 204 II II II Quadratic functional (functional of energy), theorem of minimum of II 354 II Quadratic regression II 769 Quadratic tensor I 247 Quadrature formula(e), Gauss I 555 Quadrature formula(e), Gauss — Legendre I 556 Quadrature formula(e), Newton — Cotes I 556 Quadrature formula(e), Romberg I 557 Quadrature formula(e), Simpson I 557 Quadrature formula(e), trapezoidal rule I 557 Quadrics I 209 ff Quadrics, canonical equations I 216 ff Quadrics, cone I 214 Quadrics, cylinders I 214 Quadrics, degenerate I 218 Quadrics, general equations I 215 Quadrics, transformed equations I 215 Quadrilateral, geometrical formulae I 96 Quality control II 792 ff Quantile II 700 Quantile, sample II 741 Quartic equations see "Biquadratic" Quartile, lower and upper II 700 Queueing theory II 806 Queueing theory, arrival process II 806 Queueing theory, busy periods II 806 Queueing theory, Kendal classification II 806 Queueing theory, service system II 806 Queueing theory, service time II 806 Queueing theory, stationary traffic II 806 Queueing theory, system, loss II 807 Queueing theory, system, loss, M(D)1 II 810 Queueing theory, system, loss, M(M)n II 807 ff Queueing theory, traffic intensity II 807 Queueing theory, waiting time II 806 Queueing theory, waiting time, in system II 806 QZ method II 646 R-integrability see "Riemann" Raabe test for convergence of series I 347 Radius of circle, circumscribed on triangle I 80 Radius of circle, inscribed in triangle I 80 Radius of convergence of power series I 646 II Radius of curvature I 277 I I Radius of torsion I 278 Radius, vector I 226 Random, event(s) II 688 Random, event(s), certain, complementary, disjoint, elementary, equivalent, impossible II 688 ff Random, event(s), difference of, intersection of, union of II 688 Random, event(s), independent II 603 ff Random, experiment II 688 Random, function II 707 Random, process see "Process" Random, sample see "Sample" Random, sequence II 707 Random, variable(s) II 604 Random, variable(s), characteristic function of II 703 Random, variable(s), characteristics II 607 Random, variable(s), characteristics, of location II 700 Random, variable(s), characteristics, of skewness and kurtosis II 702 Random, variable(s), characteristics, of variability II 701 Random, variable(s), coefficient, correlation II 700 Random, variable(s), coefficient, correlation, of kurtosis (excess) II 702 Random, variable(s), coefficient, correlation, of skewness II 702 Random, variable(s), coefficient, correlation, of variation II 702 Random, variable(s), continuous and discrete II 695 ff Random, variable(s), convergence of II 731 Random, variable(s), covariance of II 708 Random, variable(s), cumulant of II 704 Random, variable(s), density of II 696 Random, variable(s), deviation of, mean and standard II 701 Random, variable(s), distribution of II 694 Random, variable(s), independent II 707 Random, variable(s), integer (integral-valued) II 710 Random, variable(s), mean (mean value, expectation) of II 698 Random, variable(s), mode of II 700 Random, variable(s), quantile (decile, median, percentile, quartile) of II 700 Random, variable(s), range of II 702 Random, variable(s), transformations of II 727 ff Random, variable(s), uncorrelated II 709 Random, variable(s), variance of II 699 Random, vector II 704 Random, vector, characteristic function of II 710 Random, vector, characteristics of II 708 Random, vector, continuous and discrete II 705 Random, vector, correlation and covariance matrix of II 709 Random, vector, density of II 705 Random, vector, distribution function of II 704 Random, vector, distribution of II 704 Random, vector, mean of II 708 Range of mapping II 344 Range of operator II 344 Range, interdecile, interpercentile, interquartile II 702 Rank of matrix I 26 Rank of quadratic form I 63 Rank of system of vectors I 25 Rank of tensor I 247 Ratio test for convergence of series I 347 Rational curve I 263 Rational functions, integration of I 457 ff Rational integral function I 20 Rational numbers I 3 Rational numbers, field of I 48 Rayleigh quotient II 85 II II II II Rayleigh — Ritz method II 457 Real and imaginary axes I 11 Real cone, canonical and transformed equations I 216 Real function I 359 Real number(s) I 4 ff Real number(s), absolute value I 8 Real number(s), algebraic and transcendental I 5 Real number(s), bounds (greatest lower, least upper) of a set of I 5 Real number(s), general powers of I 13 Real number(s), inequalities between I 6 Real number(s), roots of I 12 Real space I 662 ff II Rearrangement of series I 346 Reciprocal equations I 43 Reciprocal spiral I 138 Rectangle of given perimeter having greatest area I 395 Rectangular coordinates I 167 I Rectangular Hermite elements II 438 Rectangular simply supported plate, deflection of II 543 Rectification of circle, Kochinski I 113 Rectification of circle, Sobotka I 114 Rectifying plane I 271 Recurrent formulae for Bessel functions I 694 Reduced equations of straight line I 205 Reduction of matrix to similar one 161 II II Redundancy in reliability theory II 789 Reference, interval II 432 Reference, triangle II 433 Refinement of nets II 550 Reflection, cartesian coordinate system I 198 Reflection, Riemann — Schwarz principle II 301 Reflexive space II 350 Region II 320 I Region of Caratheodory type (C-region) II 308 Region, bounded II 321 II Region, closed II 321 Region, closed, of type A I 573 I Region, k-tuply connected II 321 ff Region, regular with respect to Dirichlet problem II 190 Region, simply connected II 321 ff Region, theorem of preservation of I 419 Regression, coefficient of determination II 771 Regression, error variable II 766 Regression, explanatory variable (regressor) II 767 Regression, function II 766 ff Regression, hyperbolic II 769 Regression, linear (simple linear regression) II 769 II Regression, linear regression model II 768 Regression, method of least squares II 767 ff Regression, method of least squares, recursive II 772 Regression, method of least squares, weighted II 779 Regression, nonlinear II 779 Regression, parameter II 768 Regression, polynomial II 769 II Regression, quadratic II 769 Regression, response variable II 767 Regression, sum of squares II 770 Regressors (explanatory variable) II 767 Regressors (explanatory variable), orthogonalization of II 776 Regula falsi method II 658 Regular conic sections I 189
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