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Zwillinger D. — CRC Standard Mathematical Tables and Formulae
Zwillinger D. — CRC Standard Mathematical Tables and Formulae



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Название: CRC Standard Mathematical Tables and Formulae

Автор: Zwillinger D.

Аннотация:

A perennial bestseller, the 30th edition of CRC Standard Mathematical Tables and Formulae was the first "modern" edition of the handbook - adapted to be useful in the era of personal computers and powerful handheld devices. Now this version will quickly establish itself as the "user-friendly" edition. With a detailed table of contents and an extensive index listing over 6,000 entries, the 31st edition of this hugely successful handbook makes information even easier to locate.New in the 31st edition:Game theory and voting powerHeuristic search techniquesQuadratic fieldsReliabilityRisk analysis and decision rulesA table of solutions to Pell's equationA table of irreducible polynomials in 2[x]An interpretation of powers of 10A collection of "proofs without words"Representations of groups of small orderCounting principlesTesselations and tilings…and much more!An indispensable, up-to-date resource, CRC Standard Mathematical Tables and Formulae, 31st Edition makes it effortless to find the equations, tables, and formulae you need most often.


Язык: en

Рубрика: Математика/Справочники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 31st edition

Год издания: 2003

Количество страниц: 840

Добавлена в каталог: 03.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$()^{-1}$ group inverse      161
$()^{-1}$ matrix inverse      138
$22^{\times}$ crystallographic group      309
$2^{A}$ power set of $A$      203
$A$ ampere      792
$A$ interarrival time      637
$A(n, d)$ number of codewords      259
$a.e.$ almost everywhere      74
$A/B/c/K/m/Z$ queue      637
$A_{4}$ alternating group on 4 elements      188
$a_{i}$ unit vector      492
$A_{k}$ radius of circumscribed circle      324
$A_{n}$ alternating group      163 172
$a_{n}$ Fourier coefficients      48
$a_{n}$ proportion of customers      637
$B$ amount borrowed      779
$B$ service time      637
$B(p, q)$ beta function      544
$B_{n}$ a block      241
$B_{n}$ Bell number      211
$B_{n}$ Bernoulli number      19
$B_{n}(x)$ Bernoulli polynomial      19
$C$ channel capacity      255
$c$ number of identical servers      637
$c$ speed of light      794
$C(n, r)$ $r$-combination      206 215
$C(x)$ Fresnel integral      547
$C^{R}(n, r)$ combinations with replacement      206
$C_{2}$ cyclic group of order 2      178
$C_{2}\timesC_{2}\timesC_{2}$ direct group product      181
$C_{3}$ cyclic group of order 3      178
$C_{3}\timesC_{3}$ direct group product      184
$C_{4}$ cyclic group of order 4      178
$C_{4}\timesC_{2}$ direct group product      181
$C_{5}$ cyclic group of order 5      179
$C_{6}$ cyclic group of order 6      179
$C_{7}$ cyclic group of order 7      180
$C_{8}$ cyclic group of order 8      180
$C_{9}$ cyclic group of order 9      184
$C_{n}$ Catalan numbers      212
$C_{n}$ cycle graph      229
$C_{n}$ cyclic group      172
$c_{n}$ Fourier coefficients      50
$C_{ten}$ cyclic group of order      10 185
$D$ constant service time      637
$D$ diagonal matrix      138
$D$ differentiation operator      456 466
$D$ Roman numeral (500)      4
$d$, derivative operator      386
$d$, exterior derivative      397
$d$, minimum distance      256
$d(u, v)$ distance between vertices      223
$dS$ differential surface area      405
$dV$ differential volume      405
$dx$ fundamental differential      377
$dx_{k}(\mathbf{a})$ projection      395
$D_{4}$ dihedral group of order 8      182
$D_{5}$ dihedral group of order 10      185
$D_{6}$ dihedral group of order 12      186
$D_{f}$ region of convergence      595
$d_{H}(\mathbf{u}, \mathbf{v})$Hamming distance      256
$D_{n}$ derangement      210
$D_{n}$ dihedral group      163 172
$d_{n}$ proportion of customers      637
$e$ algebraic identity      161
$e$ charge of electron      794
$e$ constants containing      15
$e$ continued fraction      97
$e$ definition      15
$e$ eccentricity      325
$E$ edge set      219
$E$ event      617
$e$ in different bases      16
$E(u, v)$ first fundamental metric coefficient      377
$e(u, v)$ second fundamental metric coefficient      377
$E_{ij}$ elementary matrix      138
$e_{i_{1}...i_{n}}$ permutation symbol      489
$E_{k}$ Erlang-$k$ service time      637
$E_{n}$ Euler numbers      20
$E_{n}(x)$ Euler polynomial      20
$E_{n}(x)$ exponential integral      550
$E_{p}$ identity group      172
$F (a, b; c; z)$ hypergeometric function      553
$f(u, v)$ second fundamental metric coefficient      377
$F(u,v)$ first fundamental metric coefficient      377
$F(x)$ Dawson's integral      546
$f(x)$ probability density function      619
$F(x)$ probability distribution function      619
$F_{c}$ Fourier cosine transform      582
$F_{n}$ Fibonacci numbers      21
$F_{p^{n}}$ Galois field      169
$F_{s}$ Fourier sine transform      582
$f_{X}(t)$ density function      467
$F_{\alpha}$ critical value      696
$g$ determinant of the metric tensor      489
$G$ general service time distribution      637
$G$ generating matrix      256
$G$ graph      219
$G$ gravitational constant      794
$G$ Green's function      471
$g$ metric tensor      487
$G$ primitive root      195
$G(k)$ Waring's problem      100
$G(s)$ generating function      620
$G(u, v)$ first fundamental metric coefficient      377
$g(x)$ generating polynomial      256
$G(x; z)$ Green's function      463
$GI$ general interarrival time      637
$GL(n, \mathbf{R})$ matrix group      171
$GL(n,\mathbb{C})$ matrix group      171
$G[x_{n}]$ generating function      268
$g^{ij}$ covariant metric      486
$g_{ij}$ contravariant metric      486
$H$ mean curvature      377
$H$ parity check matrix      256
$H(x)$ Haar wavelet      723
$H(x)$ Heaviside function      77 408
$H(\mathbf{p}_{X}$) entropy      253
$H_{0}$ null hypothesis      661
$H_{1}$ alternative hypothesis      661
$h_{i}$ metric coefficients      492
$H_{k}$ $k$-stage hyperexponential service time      637
$H_{n}$ harmonic numbers      32
$H_{n}(x)$ Hermite polynomials      532
$H_{\nu}^{(1)}$ Hankel function      559
$H_{\nu}^{(2)}$ Hankel function      559
$I$ first fundamental form      377
$I$ identity matrix      138
$i$ imaginary unit      53
$i$ interest rate      779
$I$ Roman numeral (1)      4
$I(X, Y)$ mutual information      254
$II$ second fundamental form      377
$I_{n}$ identity matrix      138
$J$ Jordan form      154
$J_{c}$ Julia set      273
$j_{n}(z)$ half order Bessel function      563
$j_{\nu, k}$ zero of Bessel function      563
$J_{\nu}(z)$ Bessel function      559
$k$ Boltzmann constant      794
$k$ dimension of a code      258
$K$ Gaussian curvature      377
$K$ Kelvin (degrees)      792
$K$ system capacity      637
$k(x,t)$ kernel      478
$k_{j}$ block size      241
$K_{m, n}$ complete bipartite graph      230
$K_{n_{1},...,n_{k}}$ complete multipartite graph      230
$K_{n}$ complete graph      229
$L$ average number of customers      638
$L$ period      48
$L(\theta)$ expected loss function      656
$l(\theta, a)$ loss function      656
$Li_{1}(z)$ logarithm      551
$Li_{2}(z)$ dilogarithm      551
$Li_{n}(z)$ polylogarithm      551
$L_{1}$ norm      133
$L_{2}$ norm      133
$L_{p}$ norm      73
$L_{Q}$ average number of customers      638
$L_{r}$ Lie group      466
$L_{\infty}$ space of measurable functions      73
$M (P)$ measure of a polynomial      93
$M$ exponential service time      637
$M$ Mandelbrot set      273
$m$ mortgage amount      779
$m$ number in the source      637
$M$ number of codewords      258
$M/G/c/c$ queue      639
$M/G/one$ queue      639
$M/G/\infty$ queue      639
$M/M/c$ queue      639
$M/M/one$ queue      638
$M_{n}$ M$\ddot{o}$bius ladder graph      229
$n$ code length      258
$n$ number of time periods      779
$N$ number of zeros      58
$n$ order of a plane      248
$N(A)$ null space      149
$N(\mu, \sigma)$ normal random variable      619
$N_{q} (n)$ number of monic irreducible polynomials      261
$O$ asymptotic function      75
$O(n)$ matrix group      171
$O_{n}$ odd graph      229
$p#$ product of prime numbers      106
$P$ number of poles      58
$P$ principal      779
$P(B | A)$ conditional probability      617
$P(E)$ probability of event $E$      617
$P(m,r)$ $r$-permutation      215
$p(n)$ partitions      210
$P(n, r)$ $r$-permutation      206
$P(x, y)$ Markov transition function      640
$P(\nu,z)$ auxiliary function      561
$P^{n}(x, y)$ $n$-step Markov transition matrix      641
$P^{R}(n, r)$ permutations with replacement      206
$P_{G}(X)$ chromatic polynomial      221
$p_{k} (n)$ partitions      207
$p_{k}$ discrete probability      619
$p_{m}(n)$ restricted partitions      210
$P_{n} (x)$ Legendre function      465
$P_{n}$ path (type of graph)      229
$p_{n}$ proportion of time      638
$P_{n}(x)$ Lagrange interpolating polynomial      733
$P_{n}(x)$ Legendre polynomials      534
$P_{n}(\alpha, \beta)(x)$ Jacobi polynomials      533
$P_{\nu^{\mu}(x)$ associated Legendre functions      557
$P_{\nu}(z)$ Legendre function      554
$P{ }$ Riemann $P$ function      465
$q$ nome      574
$Q$ quaternion group      182
$Q(\nu,z)$ auxiliary function      561
$Q^{\mu}_{\nu}(x)$ associated Legendre functions      557
$Q_{n}$ cube (type of graph)      229
$Q_{n}(x)$ Legendre function      465
$Q_{\nu}{z)$ Legendre function      554
$R$ curvature tensor      485
$r$ distance in polar coordinates      302
$r$ modulus of a complex number      53
$R$ radius (circumscribed circle)      319 513
$r$ radius (inscribed circle)      318 512
$R$ range      650
$R$ rate of a code      255
$R$ Ricci tensor      485 488
$R$ Riemann tensor      488
$r$ shearing factor      352
$R(A)$ range space      149
$R(t)$ reliability function      655
$r(\theta,a)$ regret function      658
$R_{i}$ reliability of a component      653
$r_{i}$ replication number      241
$R_{p}$ reliability of parallel system      653
$R_{s}$ reliability of series system      653
$R_{\oplus}$ radius of the earth      372
$r{k}(x)$ Rademacher functions      722
$R{\theta,d_{i})$ risk function      657
$S (T)$ symmetric part of a tensor      484
$s$ arc length parameter      373
$S$ sample space      617
$s$ sample standard deviation      660
$s$ second      792
$s$ semi-perimeter      512
$S$ siemen      792
$S$ torsion tensor      485
$s(n, k)$ Stirling number first kind      213
$S(n, k)$ Stirling number second kind      213
$S(x)$ Fresnel integral      547
$SL(n, \mathbb{C})$ matrix group      171
$SL(n, \mathbb{R})$ matrix group      171
$SO(2)$ matrix group      172
$SO(n)$ matrix group      172
$SU (n)$ matrix group      172
$S_{3}$ symmetric group      180
$s_{k}$ area of circumscribed polygon      324
$S_{k}$ area of inscribed polygon      324
$s_{k}$ elementary symmetric functions      84
$S_{n}$ star (type of graph)      229
$S_{n}$ symmetric group      163 172
$S_{n}(r)$ surface area of a sphere      368
$t-(v, k, \lambda)$ design nomenclature      241
$t_{(\alpha)}$ critical value      695
$T_{n,m}$ isomorphism class of trees      241
$T_{n}(x)$ Chebyshev polynomials      534
$t_{x, y}$ transition probabilities      255
$u$ traffic intensity      638
$U$ universe      201
$U(n)$ matrix group      172
$u(n)$ unit step function      595
$U[a, b)$ uniform random variable      619
$u_{i}$ distance      492 3
$U_{n}(x)$ Chebyshev polynomials      535
$V_{n}(r)$ volume of a sphere      368
$W$ average time      638
$W(u, v)$ Wronskian      462
$W_{N}$ root of unity      582
$W_{n}$ wheel (type of graph)      229
$W_{n}(x)$ Walsh functions      722
$W_{Q}$ average time      638
$X$ in nitesimal generator      466
$X$ Roman numeral (10)      4
$X$ set of points      241
$X^{(1)}$ first prolongation      466
$X^{(2)}$ second prolongation      466
$x_{(i)} i^{th}$ order statistic      659
$x_{i}$ rectangular coordinates      492
$y_{h}{x)$ homogeneous solution      456
$y_{n}(z)$ half order Bessel function      563
$y_{p}(x)$ particular solution      456
$y_{\nu, k}$ zero of Bessel function      563
$Y_{\nu}(z)$ Bessel function      559
$z$ complex number      53
$Z$ queue discipline      637
$Z(G)$ center of a graph      221
$Z(t)$ instantaneous hazard rate      655
$Z_{3}\rtimesZ_{4}$ semidirect group product      187
$Z_{p}$ integers modulo $p$      167
$z_{\alpha}$ critical value      695
$\alpha$, one minus the coincidence coefficient      666
$\alpha$, probability of type I error      661
$\alpha(G)$ graph independence number      225
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