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- 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)
- 02:35, 21 October 2014 (diff | hist) . . (+4) . . Main Page (→Special functions on time scales)
- 02:35, 21 October 2014 (diff | hist) . . (+68) . . Main Page (→Special functions on time scales)
- 02:27, 21 October 2014 (diff | hist) . . (+615) . . N First mean value theorem (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem (First Mean Value Theorem):</strong> Let $f$ and $g$ be bounded and integrable functio...")
- 02:24, 21 October 2014 (diff | hist) . . (+24) . . Main Page (→Calculus on time scales)
- 21:44, 20 October 2014 (diff | hist) . . (+1,417) . . Diamond integral
- 21:37, 20 October 2014 (diff | hist) . . (-37) . . Diamond integral
- 21:36, 20 October 2014 (diff | hist) . . (+122) . . N Diamond integral (Created page with "=References= [http://www.emis.de/journals/BMMSS/pdf/acceptedpapers/2013-02-023-R1.pdf The Diamond Integral on Time Scales]")
- 21:23, 20 October 2014 (diff | hist) . . (+96) . . Nabla exponential
- 21:22, 20 October 2014 (diff | hist) . . (+78) . . Real numbers
- 21:21, 20 October 2014 (diff | hist) . . (+474) . . Real numbers
- 21:19, 20 October 2014 (diff | hist) . . (+51) . . Integers
- 21:08, 20 October 2014 (diff | hist) . . (-3) . . Main Page (→Calculus on time scales)
- 21:07, 20 October 2014 (diff | hist) . . (+2,619) . . Nabla derivative
- 21:00, 20 October 2014 (diff | hist) . . (+35) . . Delta derivative (→Properties of the $\Delta$-derivativeBohner, Martin ; Peterson, Allan. Dynamic equations on time scales. An introduction with applications. Birkhäuser Boston, Inc., Boston, MA, 2001,p.8.)
- 20:59, 20 October 2014 (diff | hist) . . (+1) . . Delta derivative (→Properties of the $\Delta$-derivativeBohner, Martin ; Peterson, Allan. Dynamic equations on time scales. An introduction with applications. Birkhäuser Boston, Inc., Boston, MA, 2001,p.8.)
- 20:58, 20 October 2014 (diff | hist) . . (+1,685) . . Delta derivative (→Properties of the $\Delta$-derivativeBohner, Martin ; Peterson, Allan. Dynamic equations on time scales. An introduction with applications. Birkhäuser Boston, Inc., Boston, MA, 2001,p.8.)
- 20:55, 20 October 2014 (diff | hist) . . (+158) . . Exponential functions (current)
- 20:54, 20 October 2014 (diff | hist) . . (+98) . . Nabla exponential
- 20:53, 20 October 2014 (diff | hist) . . (+1,731) . . N Nabla exponential (Created page with "Define the function $\hat{\xi}_{h} \colon \mathbb{C}_h \rightarrow \mathbb{Z}_h$ by $$\hat{\xi}_h(z) = \dfrac{1}{h} \log(1-zh).$$ Define the $\nabla$ exponential function for ...")
- 20:53, 20 October 2014 (diff | hist) . . (-1,768) . . Exponential functions
- 20:52, 20 October 2014 (diff | hist) . . (+9) . . Delta exponential (→Properties of Exponential Functions)
- 20:52, 20 October 2014 (diff | hist) . . (+104) . . Delta exponential
- 20:50, 20 October 2014 (diff | hist) . . (+41) . . Main Page (→Special functions on time scales)
- 20:49, 20 October 2014 (diff | hist) . . (+1,879) . . Delta exponential (→Properties of Exponential Functions)
- 20:40, 20 October 2014 (diff | hist) . . (-1) . . Integers
- 20:39, 20 October 2014 (diff | hist) . . (-4) . . Integers
- 20:39, 20 October 2014 (diff | hist) . . (-33) . . Delta exponential
- 20:38, 20 October 2014 (diff | hist) . . (+3,295) . . N Delta exponential (Created page with "=$\Delta$-exponential functions= Let $\mathbb{T}$ be a time scale. Define $\xi_h(z) := \dfrac{1}{h} \log(1+zh)$. Let $p \in \mathcal{R}(\mathbb{T},\mathbb{R})$ be a regr...")
- 20:38, 20 October 2014 (diff | hist) . . (-3,269) . . Exponential functions
- 20:36, 20 October 2014 (diff | hist) . . (+358) . . Integers
- 16:58, 20 October 2014 (diff | hist) . . (+561) . . Nabla integral
- 16:46, 20 October 2014 (diff | hist) . . (-63) . . Main Page (→Calculus on time scales)
- 16:46, 20 October 2014 (diff | hist) . . (-26) . . Main Page
- 16:46, 20 October 2014 (diff | hist) . . (-1) . . Nabla integral
- 16:45, 20 October 2014 (diff | hist) . . (+267) . . Nabla integral
- 16:44, 20 October 2014 (diff | hist) . . (+317) . . Nabla integral
- 16:44, 20 October 2014 (diff | hist) . . (+612) . . Delta integral
- 16:42, 20 October 2014 (diff | hist) . . (-293) . . Nabla integral
- 16:41, 20 October 2014 (diff | hist) . . (+673) . . Nabla integral
- 16:38, 20 October 2014 (diff | hist) . . (+1,841) . . Delta integral (→Properties of $\Delta$-integrals)
- 16:23, 20 October 2014 (diff | hist) . . (+34) . . Nabla integral
- 16:22, 20 October 2014 (diff | hist) . . (+259) . . Nabla integral
- 07:34, 19 October 2014 (diff | hist) . . (+1,355) . . N Nabla integral (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The following formula holds: $$\int_a^b f(t)+g(t) \nabla t = \int_a^b f(t) \...")
- 06:27, 19 October 2014 (diff | hist) . . (-22) . . Integers
- 06:23, 19 October 2014 (diff | hist) . . (-1) . . Multiples of integers
- 06:23, 19 October 2014 (diff | hist) . . (-1) . . Integers
- 06:21, 19 October 2014 (diff | hist) . . (+59) . . Integers
- 06:21, 19 October 2014 (diff | hist) . . (-25) . . Multiples of integers
- 06:20, 19 October 2014 (diff | hist) . . (0) . . N File:Hilgercircle,T=Z.png
- 06:18, 19 October 2014 (diff | hist) . . (+169) . . Integers
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