- Eddington luminosity
cong 1.3\times10^ 38\left(\frac M M_\bigodot\right)\rm erg\ s^-1 3.3\times10^4\left(\frac M M_\bigodot\right) L_\bigodot \end align where ...
10 KB (1520 words) - 23:24, 24 September 2008
- Table of spherical harmonics (section Spherical harmonics with l = 4)
Y_6^-2(\theta,\varphi)1\over 64\sqrt 1365\over \pi\cdot e^-2i\varphi\cdot\sin^ 2\theta\cdot(33\cos^ 4\theta-18\cos^ 2\theta+1): ...
20 KB (3965 words) - 04:21, 20 July 2008
- Solid harmonics
begin align \bar\Pi^0_0 & 1 & \bar\Pi^1_3 & \frac 1 4\sqrt 6(5 ... Y^-2_4 \frac 1 r^4 \left\tfrac 9 4\pi\cdot\tfrac 5 32\right^1/2(7z^2-r^2 ...
12 KB (2115 words) - 20:31, 16 April 2008
- Weibull distribution
(1+\frac 3 k)\lambda^3-3\mu\sigma^2-\mu^3\sigma^3 | kurtosis (see text) | entropy \ ... gamma_2\frac\lambda^4\Gamma(1+\frac 4 k)-4\gamma_1\ ...
12 KB (1500 words) - 12:52, 4 November 2008
- Cumulant
33, pp. ... kappa_6)\,x+(6\kappa_5\kappa_1+15\kappa_4\kappa_2+10\kappa_3^2)\,x^2+(15\kappa_4\kappa_1^2+60\kappa_3\kappa_2\kappa_1+15\kappa_ ...
22 KB (3209 words) - 15:31, 16 November 2008
- Elliptic rational functions
qquad X_4\frac 1\pm\sqrt 1+t_4\,\left(\frac 1-X_8 1+X_8\right),\qquad ... Particular values : x_33-x_31\,: x_41\xi\sqrt\left(1-\sqrt t\right)\ ...
11 KB (2031 words) - 13:35, 23 October 2006
- List of trigonometric identities
Grad s | 33 ⅓ | 50 | 66 ⅔ | 100 | 133 ⅓ | 200 | 300! ... sin^4\theta \frac 3 - 4 \cos 2\theta + \cos 4\theta 8 |\cos^4\theta \frac 3 + 4 \cos ...
40 KB (5568 words) - 11:40, 19 November 2008
- Frobenius endomorphism
Examples : beta^5+\beta^4-4\beta^3-3\beta^2+3\beta+1 0 to \Bbb Q. This extension is cyclic of order five, with roots : 2 \cos \frac 2 \pi n 11 ...
9 KB (1391 words) - 05:33, 8 August 2008
- Factorization
primes as 3 × 5, and the polynomial x 2 − 4 factors as (x − 2)(x + 2). ... 4\sin^2x(x^3-78x^2+1155x-2006) - 3(x^3-78x^2+1155x-2006 ...
12 KB (1888 words) - 12:24, 19 November 2008
- Drucker Prager yield criterion
begin align J_2^0 : & \cfrac 1 6\left a_1(\sigma_22\sigma_33)^2+a_2(\sigma_33\sigma_11)^2 +a_3(\sigma_11\sigma_22)^2\right + a_4\sigma_23 ...
14 KB (2261 words) - 19:50, 12 November 2008
- Multiplication algorithm
rowspan"2" | 2 3 9 5 8 2 3 3 +-+-+-+-+-+-+-+-+- | 1 / | 1 / | 4 ... Examples: 33\, | A more complicated example, using the figures from the ...
18 KB (2715 words) - 16:45, 15 October 2008
- Cayley–Hamilton theorem
tr(A)^3-3\mbox tr(A^2)\mbox tr(A)+2\mbox tr(A^3)\bigr)A + \det(A)I_4 0 ... 3&\lambda-4\end vmatrix(\lambda-1)(\lambda-4)-2\cdot3\lambda^2-5\ ...
29 KB (5006 words) - 22:45, 18 November 2008
- Rotation operator (vector space)
q_1\ ,\ q_2\ ,\ q_3\ ,\ q_4\ ... 2(q_1^2+ q_4^2)-1 &2(q_1 q_2 q_3 q_4) &2(q_1 q_3+q_2 q_4) \2(q_1 q_2+q_3 q_4) &2(q_2^2+ q_4^2)-1 &2(q_2 q_3 q_1 ...
12 KB (1965 words) - 05:19, 23 October 2008
- Associated Legendre function
P_4^1(x)-\begin matrix\frac 5 2\end matrix(7x^3-3x)(1-x^2)^1/2: ... Reparameterization in terms of angles: P_4^4(\cos\theta)105\sin^4\theta ...
26 KB (2915 words) - 12:01, 10 November 2008
- Adjugate matrix
21 & A_22 & A_23 \A_31 & A_32 & A_33\end pmatrix \begin pmatrix 1 & 2 ... 3x3 numeric matrix : 3&\,2\\ \,3&\!-4\end pmatrix-(-3)(-4)-(2)(3)-6. ...
7 KB (991 words) - 15:14, 22 October 2008
- Quadratic reciprocity
mod 37 | 1 | 4 | 9 | 16 | 25 | 36 | 12 | 27 | 7 | 26 | 20 | 33 | ... p \equiv 1 \pmod 4\\ -1 &\textrm if\;p \equiv 3 \pmod 4\end array\right.:\ ...
66 KB (6422 words) - 02:01, 18 November 2008
- Physical constant
Planck's constant | h \, | 6.626 068 96(33) × 10−34 J·s | 5.0 × 10 ... Coulomb's constant |\kappa 1 / 4\pi\epsilon_0 \, | 8.987 551 787 4 × ...
17 KB (2138 words) - 15:05, 19 November 2008
- Static light scattering
K 4\pi^2 n_0^2 (dn/dc)^2/N_A\lambda^4 where \ (dn/dc) is the refractive index increment , \ n_0 is the ... References : 33 (1910), 1275 2. ...
5 KB (789 words) - 20:45, 25 September 2008
- List of Solar System objects by surface gravity
Basis of calculations: frac G m r^2 - \frac 4\pi^2r T^2 Table ... 33 Mimas Saturn 3.75E+19 198.3 0.06363616 0.006482295 | 34 Himalia Jupiter 6.70 ...
27 KB (1525 words) - 20:39, 22 July 2008
- 4′33″
4′33″ (Four minutes, thirty-three seconds) is a three- movement composition by American avant-garde composer John Cage (1912–1992). ...
18 KB (2823 words) - 02:10, 18 November 2008
