User contributions
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- 16:00, 4 October 2014 (diff | hist) . . (+525) . . Euler totient
- 15:58, 4 October 2014 (diff | hist) . . (+399) . . Euler totient
- 15:56, 4 October 2014 (diff | hist) . . (+185) . . N Euler totient (Created page with "Euler's totient function (sometimes called Euler's $\phi$ function) is the function <br /> <center>$\phi(n) =$ # of positive integers $\leq n$ that are relatively prime to $n$...")
- 15:53, 4 October 2014 (diff | hist) . . (+21) . . N Tangent function (Tom moved page Tangent function to Tangent) (current)
- 15:53, 4 October 2014 (diff | hist) . . (0) . . m Tangent (Tom moved page Tangent function to Tangent)
- 15:53, 4 October 2014 (diff | hist) . . (+29) . . Main Page
- 15:52, 4 October 2014 (diff | hist) . . (+20) . . N Cosine function (Tom moved page Cosine function to Cosine) (current)
- 15:52, 4 October 2014 (diff | hist) . . (0) . . m Cosine (Tom moved page Cosine function to Cosine)
- 15:52, 4 October 2014 (diff | hist) . . (+18) . . N Sine function (Tom moved page Sine function to Sine) (current)
- 15:52, 4 October 2014 (diff | hist) . . (0) . . m Sine (Tom moved page Sine function to Sine)
- 15:51, 4 October 2014 (diff | hist) . . (+126) . . N Tangent (Created page with "The tangent function is defined as the ratio of the sine and cosine functions: $$\tan(x) = \dfrac{\sin(x)}{\cos(x)}.$$")
- 15:47, 4 October 2014 (diff | hist) . . (0) . . Mills' constant
- 15:47, 4 October 2014 (diff | hist) . . (+293) . . N Mills' constant (Created page with "Mills' constant is the smallest positive real number $M$ such that $\left\lfloor A^{3^n} \right\rfloor$ is prime for every positive $n$. =References= [http://www.ams.org/jou...")
- 15:45, 4 October 2014 (diff | hist) . . (+900) . . Pi
- 15:36, 4 October 2014 (diff | hist) . . (+272) . . N Pi (Created page with "=References= [http://math.stackexchange.com/questions/3198/proof-that-pi-is-constant-the-same-for-all-circles-without-using-limits Proof that $\pi$ is constant for all circles...")
- 15:32, 4 October 2014 (diff | hist) . . (+56) . . Main Page (→$q$-Calculus)
- 15:31, 4 October 2014 (diff | hist) . . (+16) . . Main Page
- 15:30, 4 October 2014 (diff | hist) . . (+142) . . Prime counting
- 15:29, 4 October 2014 (diff | hist) . . (-20) . . Prime counting
- 15:29, 4 October 2014 (diff | hist) . . (+339) . . Prime counting
- 02:29, 3 October 2014 (diff | hist) . . (+248) . . E
- 02:26, 3 October 2014 (diff | hist) . . (+96) . . E
- 02:17, 3 October 2014 (diff | hist) . . (+240) . . N Continued fraction (Created page with "Let $x \in \mathbb{R}$. Then $x$ has a continued fraction expansion, notated $x=[a_0;a_1,a_2,\ldots]$ if $x$ can be represented as $$x = a_0 + \dfrac{1}{a_1+\dfrac{1}{a_2+\dfr...") (current)
- 02:07, 3 October 2014 (diff | hist) . . (+395) . . N Minkowski question mark (Created page with "If $x \in \mathbb{R}$ is irrational with continued fraction expansion $x=[a_0;a_1,a_2,\ldots]$ then define $$?(x) = a_0 + 2 \displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n...")
- 01:35, 3 October 2014 (diff | hist) . . (+139) . . N Graph (Created page with "A graph $G$ is a set $G=\{V,E\}$ where $V$ is a set called the vertices of $G$ and $E \subset V \times V$ is a set called the edges of $G$.") (current)
- 23:43, 2 October 2014 (diff | hist) . . (+120) . . N Khinchin's constant (Created page with " =References= [http://dualaud.net/talks/pdf/Khinchin-constant-12-Sept-2014-MST-Analysis-Seminar.pdf Khinchin's Constant]")
- 21:31, 2 October 2014 (diff | hist) . . (+2) . . Pochhammer
- 21:31, 2 October 2014 (diff | hist) . . (+125) . . N Pochhammer (Created page with "$$(a)_0 = 1$$ $$(a)_n=a(a+1)(a+2)\ldots(a+n-1)=\dfrac{\Gamma(a+n)}{\Gamma(a)},$$ where $\Gamma$ denotes the [gamma function].")
- 21:28, 2 October 2014 (diff | hist) . . (+242) . . N Q-Beta function (Created page with "$$B_q(a,b) = \dfrac{\Gamma_q(a)\Gamma_q(b)}{\Gamma_q(a+b)}$$ $$B_q(a,b) = \displaystyle\int_0^1 \dfrac{t^{a-1}(tq;q)_{\infty}}{(tq^b;q)_{\infty}} d_q t$$ =References= [http:/...")
- 21:26, 2 October 2014 (diff | hist) . . (+77) . . Q-Gamma (→References)
- 21:23, 2 October 2014 (diff | hist) . . (+13) . . Q-Gamma (→Properties)
- 21:16, 2 October 2014 (diff | hist) . . (+123) . . N Factorial (Created page with "Let $n$ be an integer. Then the factorial of $n$, written $n!$, is the integer $$n!=n(n-1)(n-2)\ldots 3 \cdot 2 \cdot 1.$$")
- 21:15, 2 October 2014 (diff | hist) . . (+20) . . Main Page (→Special functions)
- 21:15, 2 October 2014 (diff | hist) . . (+38) . . Gamma (→Recurrence)
- 21:13, 2 October 2014 (diff | hist) . . (+676) . . Gamma (→Other formulas)
- 21:09, 2 October 2014 (diff | hist) . . (+109) . . N Euler-Mascheroni constant (Created page with "$$\gamma = \lim_{n \rightarrow \infty} 1 + \dfrac{1}{2} + \ldots + \dfrac{1}{n}-\log(n) = 0.577215664901532$$")
- 20:32, 2 October 2014 (diff | hist) . . (+8) . . Cosine
- 20:32, 2 October 2014 (diff | hist) . . (+38) . . Sine
- 20:31, 2 October 2014 (diff | hist) . . (+49) . . Cosine
- 20:31, 2 October 2014 (diff | hist) . . (+13) . . Cosine
- 20:30, 2 October 2014 (diff | hist) . . (+90) . . N Cosine (Created page with "The cosine function is the unique solution of the differential equation $$y''=-y;y(0)=1.$$")
- 16:38, 2 October 2014 (diff | hist) . . (+40) . . N Integration by parts (Created page with "$$\int_a^b u dv = uv|_a^b - \int v du.$$")
- 01:01, 1 October 2014 (diff | hist) . . (+117) . . Main Page (→Zeta functions)
- 01:00, 1 October 2014 (diff | hist) . . (+780) . . Main Page (→Zeta functions)
- 00:53, 1 October 2014 (diff | hist) . . (+70) . . N Polylogarithm (Created page with "$$\mathrm{Li}_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{z^k}{k^s}$$")
- 00:49, 1 October 2014 (diff | hist) . . (+791) . . N Beta (Created page with "$$B(x,y)=\displaystyle\int_0^1 t^{x-1}(1-t)^{y-1}dt$$ =Properties= <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> $B(x,y)=...")
- 00:44, 1 October 2014 (diff | hist) . . (+20) . . Main Page (→Special functions)
- 00:41, 1 October 2014 (diff | hist) . . (+502) . . Main Page (→Special functions)
- 21:32, 25 September 2014 (diff | hist) . . (+29) . . Hermite (probabilist)
- 18:28, 23 September 2014 (diff | hist) . . (+2) . . Secant zeta function
- 18:28, 23 September 2014 (diff | hist) . . (+75) . . Secant zeta function
- 18:27, 23 September 2014 (diff | hist) . . (+71) . . N Secant zeta function (Created page with "=References= [http://arxiv.org/pdf/1304.3922.pdf Secant zeta functions]")
- 18:26, 23 September 2014 (diff | hist) . . (+31) . . Main Page
- 06:08, 23 September 2014 (diff | hist) . . (+920) . . Gamma
- 05:58, 23 September 2014 (diff | hist) . . (+6) . . Main Page (→Tools from calculus)
- 05:58, 23 September 2014 (diff | hist) . . (+25) . . Main Page (→Tools from calculus)
- 05:55, 23 September 2014 (diff | hist) . . (+144) . . Gamma
- 05:55, 23 September 2014 (diff | hist) . . (+49) . . Apéry's constant
- 05:55, 23 September 2014 (diff | hist) . . (+410) . . Gamma (→Properties)
- 05:49, 23 September 2014 (diff | hist) . . (+641) . . N Apéry's constant (Created page with "Apéry's constant is the value $\zeta(3)$, where $\zeta$ denotes the Riemann zeta function. This constant is notable because it is known in general that for integers $n$,...")
- 02:18, 23 September 2014 (diff | hist) . . (0) . . Q-Pochhammer
- 02:15, 23 September 2014 (diff | hist) . . (+156) . . N Q-Hermite polynomial (Created page with "=References= [http://arxiv.org/pdf/1101.2875v4.pdf On the $q$-Hermite polynomials and their relationship with some other families of orthogonal polynomials]")
- 02:14, 23 September 2014 (diff | hist) . . (+56) . . Main Page (→Special functions)
- 17:27, 21 September 2014 (diff | hist) . . (+143) . . N E (Created page with "The number $e$ can be defined in the following way: let $f$ be the unique solution of the initial value problem $$y'=y;y(0)=1,$$ then $e=f(1)$.")
- 17:26, 21 September 2014 (diff | hist) . . (+308) . . Fransén–Robinson constant
- 17:05, 21 September 2014 (diff | hist) . . (+147) . . N Fransén–Robinson constant (Created page with "The Fransén–Robinson constant is defined to be the number $F$ given by the formula $$F = \displaystyle\int_0^{\infty} \dfrac{1}{\Gamma(x)} dx.$$")
- 17:05, 21 September 2014 (diff | hist) . . (+39) . . Main Page (→Special constants)
- 11:01, 21 September 2014 (diff | hist) . . (+1) . . Gamma
- 11:01, 21 September 2014 (diff | hist) . . (+337) . . Gamma (→Properties)
- 03:49, 14 September 2014 (diff | hist) . . (+220) . . Hermite (probabilist)
- 01:34, 14 September 2014 (diff | hist) . . (+943) . . Hermite (probabilist)
- 01:30, 14 September 2014 (diff | hist) . . (+4) . . Hermite (probabilist)
- 01:29, 14 September 2014 (diff | hist) . . (+308) . . N Hermite (probabilist) (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The Hermite polynomials $H_n$ satisfy the Rodrigues' formula $$H_n(t) = (-1)...")
- 01:27, 14 September 2014 (diff | hist) . . (+29) . . Main Page
- 04:54, 12 September 2014 (diff | hist) . . (-1) . . Main Page (→Special functions)
- 03:08, 12 September 2014 (diff | hist) . . (+180) . . N Prime counting (Created page with "The prime counting function $\pi \colon \mathbb{R} \rightarrow \mathbb{Z}^+$ is defined by the formula $$\pi(x) = \{\mathrm{number \hspace{2pt} of \hspace{2pt} primes} \leq x...")
- 03:07, 12 September 2014 (diff | hist) . . (+34) . . Main Page (→Special functions)
- 02:59, 12 September 2014 (diff | hist) . . (+24) . . Main Page (→Special functions)
- 10:20, 10 September 2014 (diff | hist) . . (+124) . . N Lambert W (Created page with "Let $z \in \mathbb{C}$ and define the Lambert $W$ function by the relation $z=W(z)e^{W(z)}$. This function has two branches.")
- 20:22, 31 August 2014 (diff | hist) . . (-3) . . Main Page (→Other)
- 20:22, 31 August 2014 (diff | hist) . . (+118) . . Main Page
- 00:55, 29 August 2014 (diff | hist) . . (+28) . . Q-Bessel functions
- 00:55, 29 August 2014 (diff | hist) . . (+22) . . Main Page (→Special functions)
- 00:53, 29 August 2014 (diff | hist) . . (+40) . . Main Page (→Special functions)
- 00:53, 29 August 2014 (diff | hist) . . (+706) . . N Q-Bessel functions (Created page with "The three Jackson $q$-Bessel functions are $$J_{\nu}^{(1)}(x;q) = \dfrac{(q^{\nu+1};q)_{\infty}}{(q;q)_{\infty}} \left( \dfrac{x}{2} \right)^{\nu} {}_2\Phi_1\left(0,0;q^{\nu+1...")
- 05:35, 3 August 2014 (diff | hist) . . (+27) . . Main Page (→Special constants)
- 01:00, 3 August 2014 (diff | hist) . . (+282) . . Airy Bi
- 00:58, 3 August 2014 (diff | hist) . . (+100) . . N Airy Bi (Created page with "The Airy functions $\mathrm{Ai}$ and $\mathrm{Bi}$ solve the differential equation $$y'' - xy = 0.$$")
- 00:57, 3 August 2014 (diff | hist) . . (+324) . . N Exponential (Created page with "Let $a$ be constant. Exponential functions are of the form $$f(x)=a^x.$$ The most commonly used exponential function is $e^x$, where $e$ is the E | base of the natural logar...")
- 00:55, 3 August 2014 (diff | hist) . . (+31) . . Main Page (→Special functions)
- 00:55, 3 August 2014 (diff | hist) . . (+293) . . Main Page
- 00:49, 3 August 2014 (diff | hist) . . (+6) . . Ihara zeta function (→References)
- 00:49, 3 August 2014 (diff | hist) . . (+157) . . Ihara zeta function (→References)
- 00:46, 3 August 2014 (diff | hist) . . (+104) . . N Euler product (Created page with "An Euler product is a way to represent a Dirichlet series as an infinite product over prime numbers.")
- 00:45, 3 August 2014 (diff | hist) . . (+330) . . Riemann zeta
- 00:42, 3 August 2014 (diff | hist) . . (+4) . . Ihara zeta function
- 00:42, 3 August 2014 (diff | hist) . . (+568) . . N Ihara zeta function (Created page with "Let $X$ be a finite graph. The Ihara zeta function is given by the formula $$\zeta_X(t) = \displaystyle\prod_{[C]} \dfrac{1}{1-t^{|C|}},$$ where $[C]$ is the set of equiva...")
- 00:37, 3 August 2014 (diff | hist) . . (+30) . . Main Page (→Special functions)
- 11:03, 28 July 2014 (diff | hist) . . (+41) . . Main Page (→Special functions)
- 22:51, 27 July 2014 (diff | hist) . . (+24) . . Main Page (→Special functions)
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