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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
$\alpha(k)$ function, related to zeta function      23
$\bar{K}_{n}$ empty graph      229
$\beta$ probability of type II error      661
$\beta(k)$ function, related to zeta function      23
$\chi'(G)$ chromatic index      221
$\chi(G)$ chromatic number      221
$\chi^{2}$-distribution      703
$\chi^{2}_{n}$ chi-square distributed      619
$\chi^{2}_{\alpha}$ critical value      696
$\Delta$, $\Delta(G)$ maximum vertex degree      223
$\Delta$, $\Delta_{C}$ arg $f(z)$ change in the argument      58
$\delta$, designed distance      257
$\delta$, Feigenbaum's constant      272
$\Delta$, forward difference      265 728
$\Delta$, Laplacian      493
$\delta(G)$ minimum vertex degree      223
$\delta(x)$ delta function      76
$\delta_{ij}$ Kronecker delta      483
$\epsilon_{i_{1}...i_{n}}$, Levi - Civita symbol      489
$\eta$ power of a test      661
$\eta(x, y)$ component of infinitesimal generator      466
$\gamma$ Euler's constant, definition      15
$\gamma$ Euler's constant, in different bases      16
$\gamma$ Euler's constant, value      16
$\gamma(G)$ graph genus      224
$\gamma(k)$ function, related to zeta function      23
$\Gamma(x)$ gamma function      540
$\Gamma^{i}_{jk}$, Christoffel symbol of second kind      487
$\Gamma^{i}_{jk}$, connection coefficients      484
$\gamma_{1}$ skewness      620
$\gamma_{2}$ excess      620
$\hat{f}(x)$ sample density function      658
$\hat{F}(x)$ sample distribution function      658
$\hat{\mathbf{i}}$ unit vector      135
$\hat{\mathbf{j}}$ unit vector      135
$\hat{\mathbf{k}}$ unit vector      135
$\kappa(G)$ connectivity      222
$\kappa(s)$ curvature      374
$\kappa_{n}$ cumulant      620
$\lambda$, average arrival rate      638
$\lambda$, eigenvalue      152 477 478
$\lambda$, number of blocks      241
$\lambda(G)$ edge connectivity      223
$\mathbb{C}$ complex numbers      3 167
$\mathbb{C}^{n}$ complex $n$ element vectors      131
$\mathbb{N}$ natural numbers      3
$\mathbb{Q}$ rational numbers      3 167
$\mathbb{R}$ continuity in      71
$\mathbb{R}$ convergence in      70
$\mathbb{R}$ real numbers      3 167
$\mathbb{R}^{n\times m}$ real $n\times m$ matrices      137
$\mathbb{R}^{n}$ real $n$ element vectors      131
$\mathbb{Z}$ integers      3 167
$\mathbb{Z}^{*}_{n}$ a group      163
$\mathbb{Z}_{n}$ integers modulo $n$      167
$\mathbf{b}$ unit binormal vector      374
$\mathbf{c}$ cardinality of real numbers      204
$\mathbf{e}$ vector of ones      137
$\mathbf{e}_{i}$ unit vector      137
$\mathbf{G}$ Catalan constant      23
$\mathbf{i}$ unit vector      494
$\mathbf{J}$ joule      792
$\mathbf{j}$ unit vector      494
$\mathbf{k}$ curvature vector      374
$\mathbf{k}$ unit vector      494
$\mathbf{k}_{g}$ geodesic curvature      377
$\mathbf{k}_{n}$ normal curvature vector      311
$\mathbf{n}$ principal normal unit vector      374
$\mathbf{N}$ unit normal vector      378
$\mathbf{p}_{X\times Y}$ joint probability distribution      254
$\mathbf{T}$ tesla      792
$\mathbf{T}$ time interval      796
$\mathbf{t}$ unit tangent vector      374
$\mathcal{A}(T)$ skew symmetric part of a tensor      484
$\mathcal{B}$ set of blocks      241
$\mathcal{C}$ integration contour      399 404
$\mathcal{F}$ Fourier transform      576
$\mathcal{F}_{N}$ discrete Fourier transform      582
$\mathcal{G}_{n,m}$ isomorphism classes      241
$\mathcal{H}$ Hilbert transform      591
$\mathcal{L}$ Laplace transform      585
$\mathcal{M}$, Mellin transform      612
$\mathcal{N}$ normal vector      377
$\mathcal{Z}$ $Z$-transform      594
$\mu$, average service rate      638
$\mu$, mean      620
$\mu'_{k}$ moments      620
$\mu(n)$ M$\ddot{o}$bius function      102
$\mu_{k}$ centered moments      620
$\mu_{p}$ MTBF for parallel system      655
$\mu_{s}$ MTBF for series system      655
$\nu(G)$ graph crossing number      222
$\Omega$, asymptotic function      75
$\Omega$, ohm      792
$\omega(G)$ size of the largest clique      221
$\overline{\nu}(G)$ rectilinear graph crossing number      222
$\phi$, Euler constant      21
$\phi$, golden ratio, defined      16
$\phi$, golden ratio, value      16
$\phi$, incidence mapping      219
$\phi$, zenith      346
$\phi(n)$ totient function      128 169
$\phi(t)$ characteristic function      620
$\Phi(x)$ normal distribution function      634
$\pi$, constants containing      14
$\pi$, continued fraction      97
$\pi$, distribution of digits      15
$\pi$, identities      14
$\pi$, number      13
$\pi$, number, in different bases      16
$\pi$, permutation      172
$\pi$, sums involving      24
$\pi(x)$, prime counting function      103
$\pi(x)$, probability distribution      640
$\psi(z)$ logarithmic derivative of the gamma function      543
$\rho$, server utilization      638
$\rho(A)$ spectral radius      154
$\rho(s)$ radius of curvature      374
$\rho_{ij}$ correlation coefficient      622
$\sigma$ standard deviation      620
$\sigma(n)$ sum of divisors      128
$\sigma^{2}$ variance      620
$\sigma_{ii}$ variance      622
$\sigma_{i}$ singular value of a matrix      152
$\sigma_{k}(n)$ sum of $k^{th}$ powers of divisors      128
$\sigma{ij}$ covariance      622
$\tau$ Ramanujan function      31
$\tau(n)$ number of divisors      128
$\tau(s)$ torsion      374
$\theta$, angle in polar coordinates      302
$\theta$, argument of a complex number      53
$\Theta$, asymptotic function      75
$\theta$, azimuth      346
$\theta(G)$ graph thickness      227
$\Upsilon(G)$ graph arboricity      220
$\xi(x, y)$ component of infinitesimal generator      466
$\xi_{p}$ quantile of order $p$      659
$\zeta(k)$ Riemann zeta function      23
${}^{H}$ Hermitian conjugate      138
${}^{T}$ transpose      131
${}_{p}F_{q}$ hypergeometric function      36
0 null vector      137
1, group identity      161
1-form      395
10, powers of      6 13 798
105 D standard      652
16, powers of      12
17 crystallographic groups      307
2*22 crystallographic group      310
2, negative powers of      10
2, powers of      6 10 27
2-($v$,3,1) Steiner triple system      249
2-form      396
2-sphere      491
2-switch      227
22* crystallographic group      309
2222 crystallographic group      310
230 crystallographic groups, three-dimensional      307
3*3 crystallographic group      311
3, powers of      29
3-design      (Hadamard matrices) . 250
3-form      397
3-sphere      491
333 crystallographic group      311
360, degrees in a circle      503
4*2 crystallographic group      310
4, powers of      30
442 crystallographic group      310
5, powers of      30
5-(12,6,1) table      244
5-design, Mathieu      244
632 crystallographic group      311
Ai($z$) Airy function      465 565
ALFS additive lagged-Fibonacci sequence      646
Am amplitude      572
AMS American Mathematical Society      801
ANOVA analysis of variance      686
AOQ average outgoing quality      652
AOQL average outgoing quality limit      652
AQL acceptable quality level      652
AR($k$) autoregressive model      718
Arg argument      53
ARMA($k$, $l$) mixed model      719
Aut($G$) graph automorphism group      220
B.C.E. (before the common era, B.C.)      810
BFS basic feasible solution      283
Bi($z$) Airy function      465 565
BIBD balanced incomplete block design      245
Bq becquerel      792
C coulomb      792
C Roman numeral (100)      4
C.E. (common era, A.D.)      810
Cas combination of sin and cos      591
Cd candela      792
Ci($z$) cosine integral      549
Cm crystallographic group      309
Cmm crystallographic group      310
Cn($u$,$k$) elliptic function      572
Cof${}_{ij}$ ($A$) cofactor of matrix $A$      145
Cond($A$) condition number      148
Cos trigonometric function      505
Cosh hyperbolic function      524
Cot trigonometric function      505
Coth hyperbolic function      524
Covers trigonometric function      505
Csc trigonometric function      505
Csch hyperbolic function      524
Det($A$) determinant of matrix $A$      144
DFT discrete Fourier transform      582
Diam($G$) graph diameter      223
Div divergence      493
DLG($n$; $a$, $b$) double loop graph      230
Dn($u$, $k$) elliptic function      572
E [] expectation operator      619
Ecc($v$) eccentricity of a vertex      223
Ei exbi      6
Erf error function      545
Erfc complementary error function      545
Exsec trigonometric function      505
Eye number of cycles      172
F farad      792
FCFS first come, first served      637
FFT fast Fourier transform      584
FIFO first in, first out      637
G.M. geometric mean      659
GCD greatest common divisor      101
Gd $x$ Gudermannian function      530
Gd function      530
GF($p^{n}$) Galois eld      169
Gi gibi      6
Gir(()$G$) graph girth      224
Glb greatest lower bound      68
Gy gray      792
H henry      792
H.M. harmonic mean      660
Hankel transform      589
Hav trigonometric function      372 505
Hz hertz      792
ICG inversive congruential generator      646
Iid independent and identically distributed      619
Im imaginary part of a complex number      53
In logarithmic function      522
In mum greatest lower bound      68
Inf greatest lower bound      68
Inv number of invariant elements      172
IVP initial-value problem      265
Kg kilogram      792
Ki kibi      6
Klein Four group      179 4
L length      796
L Roman numeral (50)      4
LCG linear congruential generator      644
LCL lower control limit      650
LCM least common multiple      101
Li($x$) logarithmic integral      550
LIFO last in, first out      637
Lim limits      70 385
Liminf limit inferior      70
Limsup limit superior      70
Lm lumen      792
Log logarithmic function      522
Log${}_{b}$ logarithm to base $b$      522
LP linear programming      280
LTPD lot tolerance percent defective      652
Lub least upper bound      68
Lux lux      792
M mass      796
M meter      792
M Roman numeral (1000)      4
M.D. mean deviation      660
MA($l$) moving average      719
MFLG multiplicative lagged-Fibonacci generator      646
Mi mebi      6
Mid midrange      660
MLE maximum likelihood estimator      662
Mod modular arithmetic      94
Mol mole      792
MOLS mutually orthogonal Latin squares      251
MOM method of moments      662
MTBF mean time between failures      655
N newton      792
P1 crystallographic group      309 311
P2 crystallographic group      310
P3 crystallographic group      311
P31m crystallographic group      311
P3m1 crystallographic group      311
P4 crystallographic group      310
P4g crystallographic group      310
P4m crystallographic group      310
P6 crystallographic group      311
P6m crystallographic group      311
Pa pascal      792
Per permanent      145
Per($x_{n}$) period of a sequence      644
Pg crystallographic group      309
Pgg crystallographic group      309
Pi pebi      6
PID principal ideal domain      165
Pm crystallographic group      309
Pmg crystallographic group      309
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