User contributions
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- 16:08, 17 March 2015 (diff | hist) . . (+52) . . Abel dynamic equation (→References)
- 16:07, 17 March 2015 (diff | hist) . . (+98) . . N Abel dynamic equation (Created page with "=References= [http://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=7913&context=masters_theses]")
- 16:07, 17 March 2015 (diff | hist) . . (+28) . . Dynamic equation (→Examples of Dynamic Equations)
- 03:48, 17 March 2015 (diff | hist) . . (+17) . . Time scale
- 03:31, 17 March 2015 (diff | hist) . . (+7) . . Time scale (→Applications of time scales)
- 03:29, 17 March 2015 (diff | hist) . . (+106) . . Time scale (→Applications of time scales)
- 22:13, 10 March 2015 (diff | hist) . . (+151) . . N Fractional calculus (Created page with "=References= [http://arxiv.org/pdf/1405.2813.pdf A Fractional Calculus on Arbitrary Time Scales: Fractional Differentiation and Fractional Integration]") (current)
- 22:13, 10 March 2015 (diff | hist) . . (+25) . . Main Page (→Calculus on time scales)
- 21:23, 10 March 2015 (diff | hist) . . (+361) . . Main Page
- 21:16, 10 March 2015 (diff | hist) . . (+165) . . Main Page
- 21:12, 10 March 2015 (diff | hist) . . (+87) . . Main Page (→Calculus on time scales)
- 21:06, 10 March 2015 (diff | hist) . . (0) . . Main Page (→Calculus on time scales)
- 21:06, 10 March 2015 (diff | hist) . . (+28) . . Main Page (→Calculus on time scales)
- 08:59, 10 March 2015 (diff | hist) . . (+75) . . Time scale
- 08:46, 10 March 2015 (diff | hist) . . (+107) . . Time scale (→Applications of time scales)
- 08:42, 10 March 2015 (diff | hist) . . (+108) . . Time scale (→Applications of time scales)
- 08:41, 10 March 2015 (diff | hist) . . (+55) . . Time scale (→Applications of time scales)
- 08:39, 10 March 2015 (diff | hist) . . (+72) . . Time scale (→Applications of time scales)
- 08:38, 10 March 2015 (diff | hist) . . (+69) . . Time scale (→Applications of time scales)
- 08:16, 10 March 2015 (diff | hist) . . (+172) . . Time scale
- 08:10, 10 March 2015 (diff | hist) . . (+333) . . Main Page (→Special functions on time scales)
- 08:05, 10 March 2015 (diff | hist) . . (+743) . . Diamond integral (current)
- 08:01, 10 March 2015 (diff | hist) . . (0) . . m Diamond alpha derivative (Tom moved page Diamond derivative to Diamond alpha derivative)
- 08:01, 10 March 2015 (diff | hist) . . (+38) . . N Diamond derivative (Tom moved page Diamond derivative to Diamond alpha derivative) (current)
- 08:01, 10 March 2015 (diff | hist) . . (+15) . . Main Page (→Calculus on time scales)
- 08:00, 10 March 2015 (diff | hist) . . (+561) . . N Diamond alpha derivative (Created page with " =Properties= <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $0 \leq \alpha \leq 1$. If $f$ is both $\Delta$ and $\nab...")
- 04:37, 6 March 2015 (diff | hist) . . (+207) . . Joint time scales probability density function (current)
- 04:37, 6 March 2015 (diff | hist) . . (+230) . . Cumulative distribution function (current)
- 04:35, 6 March 2015 (diff | hist) . . (+293) . . N Joint time scales probability density function (Created page with "Let $\mathbb{T}$ be a time scale. Let $X$ and $Y$ be random variables. We say that $f_{X,Y}(x,y)$ is a joint time scales probability density function if # $f_{X,Y}(x,y) \g...")
- 04:31, 6 March 2015 (diff | hist) . . (+155) . . N Nabla sine (Created page with "$$\widehat{\sin}_p(t,s)=\dfrac{\hat{e}_{ip}(t,s)-\hat{e}_{-ip}(t,s)}{2i}$$ =References= [http://faculty.cord.edu/andersod/p20.pdf Nabla dynamic equations]")
- 04:30, 6 March 2015 (diff | hist) . . (+107) . . Nabla cosh
- 04:28, 6 March 2015 (diff | hist) . . (+871) . . N Nabla sinh (Created page with "$$\widehat{\sinh}_p(t,s)=\dfrac{\hat{e}_{p}(t,s)+\hat{e}_{-p}(t,s)}{2}$$ =Properties= <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem...")
- 04:23, 6 March 2015 (diff | hist) . . (+833) . . N Nabla cosh (Created page with "$$\hat{\cosh}_p(t,s)=\dfrac{\hat{e}_p(t,s)+\hat{e}_{-p}(t,s)}{2}$$ =Properties= <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</str...")
- 17:58, 1 March 2015 (diff | hist) . . (+377) . . Multiples of integers
- 17:55, 1 March 2015 (diff | hist) . . (+175) . . Nabla exponential (→Examples)
- 17:51, 1 March 2015 (diff | hist) . . (-5) . . Nabla exponential (→Examples)
- 17:51, 1 March 2015 (diff | hist) . . (+752) . . Nabla exponential (→Examples)
- 06:56, 1 March 2015 (diff | hist) . . (0) . . Delta cosh
- 06:56, 1 March 2015 (diff | hist) . . (-8) . . Delta cosh
- 06:56, 1 March 2015 (diff | hist) . . (+218) . . N Nabla cosine (Created page with "Let $\mathbb{T}$ be a time scale and $p \in C_{ld}$ and $-\nu p^2 \in \mathcal{R}_{\nu}$. $${\hat{\cos}_p(t,s)}=\dfrac{\hat{e}_{ip}(t,s)+\hat{e}_{-ip}(t,s)}{2}$$ =References=...")
- 06:31, 1 March 2015 (diff | hist) . . (+15) . . Delta cosh (→Properties)
- 06:31, 1 March 2015 (diff | hist) . . (+1) . . Delta cosh (→Properties)
- 06:30, 1 March 2015 (diff | hist) . . (+1,176) . . N Delta sinh (Created page with "Let $p$ and $-\mu p^2$ be regressive functions. Then the $\Delta$ hyperbolic sine function is defined by $$\sinh_p(t,s) = \dfrac{e_p(t,s)-e_{-p}(t,s)}{...")
- 06:27, 1 March 2015 (diff | hist) . . (+1,188) . . Delta cosh
- 06:10, 1 March 2015 (diff | hist) . . (+894) . . N Delta cosine (Created page with "Let $\mathbb{T}$ be a time scale and let $t_0 \in \mathbb{T}$ and let $p \colon \mathbb{T} \rightarrow \mathbb{R}$ be a regressive_function | regressive fun...")
- 06:04, 1 March 2015 (diff | hist) . . (+334) . . Delta sine
- 06:03, 1 March 2015 (diff | hist) . . (+631) . . N Delta sine (Created page with "{| class="wikitable" |+Time Scale Sine Functions |- |$\mathbb{T}$ | |- | $\mathbb{R}$ |$\sin_p(t,s)= $ |- | $\mathbb{Z}$ |$\sin_p(t,s) = \dfra...")
- 19:53, 28 February 2015 (diff | hist) . . (+2) . . Main Page (→Special functions on time scales)
- 19:53, 28 February 2015 (diff | hist) . . (+4) . . Main Page (→Special functions on time scales)
- 19:53, 28 February 2015 (diff | hist) . . (+70) . . Main Page (→Special functions on time scales)
- 19:52, 28 February 2015 (diff | hist) . . (+35) . . Main Page (→Special functions on time scales)
- 19:49, 28 February 2015 (diff | hist) . . (0) . . Delta cosh
- 19:49, 28 February 2015 (diff | hist) . . (+47) . . Delta cosh
- 19:49, 28 February 2015 (diff | hist) . . (+564) . . N Delta cosh (Created page with "{| class="wikitable" |+Time Scale $\Delta$-$\cosh_1$ Functions |- |$\mathbb{T}=$ |$\cosh_1(t,0)=$ |- | $\mathbb{R}$ | $\cosh_1(t,0)=\cosh(t)$ |- |Integers ...")
- 19:46, 28 February 2015 (diff | hist) . . (+37) . . Main Page (→Special functions on time scales)
- 19:19, 28 February 2015 (diff | hist) . . (+614) . . N Delta Taylor's formula (Created page with "Let $\mathbb{T}$ be a time scale. <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $n \in \{1,2,\ldots\}$. Suppose ...")
- 19:15, 28 February 2015 (diff | hist) . . (+22) . . Main Page
- 18:58, 28 February 2015 (diff | hist) . . (+821) . . Nabla exponential
- 08:11, 8 February 2015 (diff | hist) . . (+2,393) . . N L'Hospital's Rule (Created page with "Let $\mathbb{T}$ be a time scale. Let $\overline{\mathbb{T}} = \mathbb{T} \cup \left\{\sup \mathbb{T} \right\} \cup \left\{ \inf \mathbb{T} \right\}$. If $\infty \in \over...") (current)
- 07:53, 8 February 2015 (diff | hist) . . (+23) . . Main Page (→Calculus on time scales)
- 06:40, 6 February 2015 (diff | hist) . . (-2) . . Quantum q greater than 1
- 06:39, 6 February 2015 (diff | hist) . . (-2) . . Quantum q greater than 1
- 01:12, 22 January 2015 (diff | hist) . . (+2) . . Dynamic equation (→See Also)
- 01:12, 22 January 2015 (diff | hist) . . (+45) . . Dynamic equation
- 10:48, 18 January 2015 (diff | hist) . . (+821) . . Unilateral Laplace transform (→Properties of Laplace Transforms)
- 10:26, 18 January 2015 (diff | hist) . . (+2) . . Unilateral Laplace transform
- 10:25, 18 January 2015 (diff | hist) . . (-2) . . Unilateral Laplace transform
- 19:22, 5 December 2014 (diff | hist) . . (+4) . . Abel's theorem
- 17:29, 23 November 2014 (diff | hist) . . (+467) . . N Cumulative distribution function (Created page with "Let $\mathbb{T}$ be a time scale. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a probability density function. The following function is called the cumulative d...")
- 17:26, 23 November 2014 (diff | hist) . . (+207) . . Expected value
- 17:26, 23 November 2014 (diff | hist) . . (+207) . . Moment generating function (current)
- 17:26, 23 November 2014 (diff | hist) . . (+207) . . Probability density function
- 17:26, 23 November 2014 (diff | hist) . . (+207) . . Cumulant generating function (current)
- 17:25, 23 November 2014 (diff | hist) . . (+98) . . Variance
- 17:25, 23 November 2014 (diff | hist) . . (+109) . . Variance
- 17:24, 23 November 2014 (diff | hist) . . (+336) . . Variance
- 17:22, 23 November 2014 (diff | hist) . . (+1) . . Variance
- 17:22, 23 November 2014 (diff | hist) . . (+261) . . N Variance (Created page with "Let $\mathbb{T} be a time scale. Let $X$ be a random variable with probability density function $f \colon \mathbb{T} \rightarrow \mathbb{R}$. Then the variance of $X$ ...")
- 17:21, 23 November 2014 (diff | hist) . . (+9) . . Expected value
- 17:21, 23 November 2014 (diff | hist) . . (+293) . . N Expected value (Created page with "Let $\mathbb{T}$ be a time scale. Let $X$ be a random variable with probability density function $f \colon \mathbb{T} \rightarrow \mathbb{R}$. The expected value of $X...")
- 17:19, 23 November 2014 (diff | hist) . . (+321) . . N Cumulant generating function (Created page with "Let $\mathbb{T}$ be a time scale with $0 \in \mathbb{T}$ and $\sup \mathbb{T}=\infty$. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a probability density function a...")
- 17:18, 23 November 2014 (diff | hist) . . (+34) . . Main Page (→Probability Theory)
- 17:17, 23 November 2014 (diff | hist) . . (+295) . . N Moment generating function (Created page with "Let $\mathbb{T}$ be a time scale with $0 \in \mathbb{T}$ and $\sup \mathbb{T}=\infty$. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a probability density function. ...")
- 17:14, 23 November 2014 (diff | hist) . . (+4) . . Probability density function
- 17:14, 23 November 2014 (diff | hist) . . (+286) . . N Probability density function (Created page with "Let $\mathbb{T}$ be a time scale with $0 \in \mathbb{T}$ and $\sup \mathbb{T} = \infty$. A function $f \colon \mathbb{T} \rightarrow \mathbb{R}$ is called a probability densit...")
- 22:05, 21 November 2014 (diff | hist) . . (+276) . . N Delta Tschebycheff inequality (Created page with "Let $\mathbb{T}$ be a time scale and let $\epsilon > 0$. Then $$\dfrac{\mathbb{V}ar_{\mathbb{T}}(X) - \mathbb{E}_{\mathbb{T}}(2H(X))}{\epsilon^2} \geq P((X-\mathbb{E}_{\ma...")
- 22:03, 21 November 2014 (diff | hist) . . (+13) . . Delta Markov inequality
- 22:03, 21 November 2014 (diff | hist) . . (+228) . . N Delta Markov inequality (Created page with "Let $\mathbb{T}$ be a time scale with $a \in \mathbb{T}$. Then $$P(X \geq a) \leq \dfrac{\mathbb{E}_{\mathbb{T}}(X)}{a},$$ where $X$ is a random variable, $P$ denotes prob...")
- 22:02, 21 November 2014 (diff | hist) . . (+52) . . Main Page (→Inequalities)
- 22:01, 21 November 2014 (diff | hist) . . (+90) . . Main Page (→Probability Theory)
- 21:59, 21 November 2014 (diff | hist) . . (0) . . Gamma distribution
- 21:59, 21 November 2014 (diff | hist) . . (+366) . . N Gamma distribution (Created page with "Let $\mathbb{T}$ be a time scale. Let $\lamnba \in \mathbb{R}$ with $\lambda > 0$ and define $\Lambda_0(t,t_0)=0, \Lambda_1(t,t_0)=1$. The gamma distribution is the probabil...")
- 21:56, 21 November 2014 (diff | hist) . . (+333) . . N Exponential distribution (Created page with "Let $\mathbb{T}$ be a time scale. Let $\lambda > 0$ and $\ominus \lambda$ be positively regressive and let $t \in \mathbb{T}$. The exponential distribution is given by the p...")
- 21:54, 21 November 2014 (diff | hist) . . (+287) . . N Uniform distribution (Created page with "Let $\mathbb{T}$ be a time scale. Let $a,b \in \mathbb{T}$. The uniform distribution on the interval $[a,b] \cap \mathbb{T}$ is given by the formula $$U_{[a,b]}(t) = \left...")
- 21:51, 21 November 2014 (diff | hist) . . (+138) . . Main Page (→Calculus on time scales)
- 21:50, 21 November 2014 (diff | hist) . . (+128) . . Main Page (→Special functions on time scales)
- 05:13, 2 November 2014 (diff | hist) . . (+107) . . Multiples of integers
- 05:11, 2 November 2014 (diff | hist) . . (+123) . . Multiples of integers
- 02:36, 21 October 2014 (diff | hist) . . (0) . . Main Page (→Special functions on time scales)
- 02:36, 21 October 2014 (diff | hist) . . (+70) . . Main Page (→Special functions on time scales)
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