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- 03:26, 12 March 2018 (diff | hist) . . (+428) . . N Normal cdf (Created page with "The normal cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ is defined for $\mu \in \mathbb{R}$ and $\sigma^2 >0$ by $$F(x) = \dfrac{1}{2} \le...")
- 03:22, 12 March 2018 (diff | hist) . . (+401) . . N Normal pdf (Created page with "The normal probability density function $f \colon \mathbb{R} \rightarrow \mathbb{R}$ is defined for $\mu \in \mathbb{R}$ and $\sigma^2>0$ by $$f(x)=\dfrac{1}{\sqrt{2\pi\si...") (current)
- 03:18, 12 March 2018 (diff | hist) . . (+22) . . Laplace pdf (→See also) (current)
- 03:17, 12 March 2018 (diff | hist) . . (+313) . . N Laplace pdf (Created page with "The Laplace probability density function $f \colon \mathbb{R} \rightarrow \mathbb{R}$ for $\mu \in \mathbb{R}$ and $b>0$ by $$f(x) = \dfrac{1}{2b} \exp \left(-\dfrac{|x-\m...")
- 03:16, 12 March 2018 (diff | hist) . . (-4) . . Laplace cdf (→See also) (current)
- 03:15, 12 March 2018 (diff | hist) . . (+503) . . N Laplace cdf (Created page with "The Laplace cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ is defined for $\mu \in \mathbb{R}$ and $b>0$ and is given by $$F(x) = \left\{ \b...")
- 03:11, 12 March 2018 (diff | hist) . . (+294) . . N Exponential cdf (Created page with "The exponential cumulative distribution function $F \colon [0,\infty) \rightarrow \mathbb{R}$ is given by $$F(x)=1-e^{-\lambda x},$$ where $e^{-\lambda x}$ denotes the ...") (current)
- 03:10, 12 March 2018 (diff | hist) . . (+314) . . N Exponential pdf (Created page with "The exponential probability density function $f \colon [0,\infty) \rightarrow \mathbb{R}$ is defined for $\lambda >0$ by $$f(x)=\lambda e^{-\lambda x},$$ where $e^{\lambd...") (current)
- 15:46, 9 March 2018 (diff | hist) . . (+6) . . Main Page (→Cumulative Density Functions)
- 15:45, 9 March 2018 (diff | hist) . . (+309) . . N Arcsin cdf (Created page with "The arcsin cumulative distribution function $F \colon [0,1] \rightarrow \mathbb{R}$ is given by $$F(x) = \dfrac{2}{\pi} \arcsin\left(\sqrt{x} \right),$$ where $\pi$ denot...")
- 15:44, 9 March 2018 (diff | hist) . . (+255) . . N Arcsin pdf (Created page with "The arcsin probability density function $f \colon [0,1] \rightarrow \mathbb{R}$ is given by $$f(x) = \dfrac{1}{\pi \sqrt{x(1-x)}},$$ where $\pi$ denotes pi. =Properti...") (current)
- 15:41, 9 March 2018 (diff | hist) . . (+393) . . N Cauchy cdf (Created page with "The Cauchy cumulative distribution function $F \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma > 0$ is given by $$F(x) = \dfrac{1}{\pi} \mat...") (current)
- 15:39, 9 March 2018 (diff | hist) . . (+33) . . Cauchy pdf (current)
- 15:38, 9 March 2018 (diff | hist) . . (+317) . . N Cauchy pdf (Created page with "The Cauchy probability density function $f \colon \mathbb{R} \rightarrow \mathbb{R}$ for $x_0 \in \mathbb{R}$ and $\gamma >0$ is given by $$f(x) = \dfrac{1}{\pi \gamma \le...")
- 15:36, 9 March 2018 (diff | hist) . . (+214) . . Main Page (→Continuous distributions)
- 15:32, 9 March 2018 (diff | hist) . . (+38) . . Main Page (→Continuous distributions)
- 06:07, 4 March 2018 (diff | hist) . . (+173) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (current)
- 06:05, 4 March 2018 (diff | hist) . . (+592) . . N Z coth(z) = 2 Sum of (-1)^(n+1) zeta(2n) z^(2n)/pi^(2n) (Created page with "==Theorem== The following formula holds for $|z|<\pi$: $$z \mathrm{coth}(z) = 2 \displaystyle\sum_{k=0}^{\infty} (-1)^{k+1} \zeta(2k) \dfrac{z^{2k}}{\pi^{2k}},$$ where $\mathr...") (current)
- 06:03, 4 March 2018 (diff | hist) . . (+49) . . Z coth(z) = sum of 2^(2n)B (2n) z^(2n)/(2n)! (current)
- 06:01, 4 March 2018 (diff | hist) . . (+583) . . N Z coth(z) = sum of 2^(2n)B (2n) z^(2n)/(2n)! (Created page with "==Theorem== The following formula holds for $|z| < \pi$: $$z \mathrm{coth}(z) = \displaystyle\sum_{k=0}^{\infty} 2^{2k} B_{2k} \dfrac{z^{2k}}{(2k)!},$$ where $\mathrm{coth}$...")
- 05:57, 4 March 2018 (diff | hist) . . (+515) . . N Z coth(z) = 2z/(e^(2z)-1) + z (Created page with "==Theorem== The following formula holds for $|z|<\pi$: $$z \mathrm{coth}(z) = z+\dfrac{2z}{e^{2z}-1},$$ where $\mathrm{coth} denotes hyperbolic cotangent and $e^{2z}$...") (current)
- 05:53, 4 March 2018 (diff | hist) . . (+161) . . Coth (→Properties) (current)
- 05:47, 4 March 2018 (diff | hist) . . (+21) . . Bateman F
- 05:44, 4 March 2018 (diff | hist) . . (+4) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 05:44, 4 March 2018 (diff | hist) . . (+4) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume II (current)
- 05:44, 4 March 2018 (diff | hist) . . (+4) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume III (current)
- 05:43, 4 March 2018 (diff | hist) . . (0) . . m Book:Arthur Erdélyi/Higher Transcendental Functions Volume III (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume III to Book:Arthur Erdélyi/Higher Transcendental Functions Volume III)
- 05:43, 4 March 2018 (diff | hist) . . (+77) . . N Book:Harry Bateman/Higher Transcendental Functions Volume III (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume III to Book:Arthur Erdélyi/Higher Transcendental Functions Volume III) (current)
- 05:43, 4 March 2018 (diff | hist) . . (+82) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume III
- 05:42, 4 March 2018 (diff | hist) . . (+82) . . Kelvin kei (current)
- 05:42, 4 March 2018 (diff | hist) . . (+82) . . Kelvin bei (current)
- 05:42, 4 March 2018 (diff | hist) . . (+82) . . Kelvin ker (current)
- 05:41, 4 March 2018 (diff | hist) . . (+82) . . Kelvin ber (current)
- 05:41, 4 March 2018 (diff | hist) . . (+82) . . Bessel J (current)
- 05:40, 4 March 2018 (diff | hist) . . (0) . . m Book:Arthur Erdélyi/Higher Transcendental Functions Volume II (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume II to Book:Arthur Erdélyi/Higher Transcendental Functions Volume II)
- 05:40, 4 March 2018 (diff | hist) . . (+76) . . N Book:Harry Bateman/Higher Transcendental Functions Volume II (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume II to Book:Arthur Erdélyi/Higher Transcendental Functions Volume II) (current)
- 05:40, 4 March 2018 (diff | hist) . . (+82) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume II
- 05:39, 4 March 2018 (diff | hist) . . (0) . . m Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition (Tom moved page Creating Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition to Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition without leaving a redirect) (current)
- 01:24, 4 March 2018 (diff | hist) . . (+175) . . N Book:Norman L. Johnson/Continuous Univariate Distributions Volume 2/Second Edition (Created page with "{{Book|Continuous Univariate Distributions Volume 2|1995|John Wiley & Sons, Inc||Norman L. Johnson|author2=Samuel Kotz|author3=N. Balakrishnan}} =Contents= Category:Book")
- 01:08, 4 March 2018 (diff | hist) . . (+102) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 01:07, 4 March 2018 (diff | hist) . . (+401) . . N Euler E n'(x)=nE n-1(x) (Created page with "==Theorem== The following formula holds: $$E_n'(x)=n E_{n-1}(x),$$ where $E_n$ denotes an Euler polynomial. ==References== * {{BookReference|Higher Transcendental...") (current)
- 01:05, 4 March 2018 (diff | hist) . . (+17) . . Euler E generating function (current)
- 01:05, 4 March 2018 (diff | hist) . . (-193) . . Euler E (→Properties) (current)
- 01:04, 4 March 2018 (diff | hist) . . (+14) . . Euler E generating function
- 01:04, 4 March 2018 (diff | hist) . . (+11) . . Euler numbers (current)
- 01:03, 4 March 2018 (diff | hist) . . (+208) . . Euler E generating function
- 01:03, 4 March 2018 (diff | hist) . . (+511) . . N Euler numbers (Created page with "The Euler numbers $E_k$ are the coefficients in the following Taylor series for $|z| < \dfrac{\pi}{2}$: $$\mathrm{sech}(z) = \displaystyle\sum_{k=0}^{\infty} E_k \dfrac{z^...")
- 23:27, 3 March 2018 (diff | hist) . . (+82) . . Z/(1-sqrt(q))2Phi1(q,sqrt(q);sqrt(q^3);z)=Sum z^k/(1-q^(k-1/2)) (current)
- 23:27, 3 March 2018 (diff | hist) . . (+82) . . 2Phi1(q,-1;-q;z)=1+2Sum z^k/(1+q^k) (current)
- 23:26, 3 March 2018 (diff | hist) . . (+82) . . (z/(1-q))2Phi1(q,q;q^2;z)=Sum z^k/(1-q^k) (current)
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