# User contributions

(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)

- 18:36, 21 March 2015 (diff | hist) . . (+445) . . N Table:Time scale delta cosine functions (Created page with "{| class="wikitable" |+Time Scale Cosine Functions |- |$\mathbb{T}$ |$\cos_p(t,s)= $ |- | $\mathbb{R}$ | |- | $\mathbb{Z}$ | |- |Multiples_o...") (current)
- 18:36, 21 March 2015 (diff | hist) . . (+2) . . Delta cosine (→Examples)
- 18:36, 21 March 2015 (diff | hist) . . (+445) . . N Table:Time scale delta sine functions (Created page with "{| class="wikitable" |+Time Scale Cosine Functions |- |$\mathbb{T}$ |$\cos_p(t,s)= $ |- | $\mathbb{R}$ | |- | $\mathbb{Z}$ | |- |Multiples_o...")
- 18:36, 21 March 2015 (diff | hist) . . (-403) . . Delta cosine
- 18:34, 21 March 2015 (diff | hist) . . (+34) . . Table:Delta hk
- 18:32, 21 March 2015
(diff | hist) . .
**(+660)** . . N Table:Delta hk (Created page with "{| class="wikitable" |+Time Scale $h_k$ Monomials |- |$\mathbb{T}=$ |$h_k(t,t_0)=$ |- | $\mathbb{R}$ |$\dfrac{(t-t_0)^k}{k!}$ |- | $\mathbb{Z}$...") - 18:32, 21 March 2015 (diff | hist) . . (+2) . . Delta hk
- 18:32, 21 March 2015
(diff | hist) . .
**(-628)** . . Delta hk - 18:31, 21 March 2015
(diff | hist) . .
**(+873)** . . N Delta hk (Created page with "Define $h_n \colon \mathbb{T} \times \mathbb{T} \rightarrow \mathbb{R}$ by the scheme: $$\left\{ \begin{array}{ll} h_0(t,s)=1 \\ h_n(t,s)= \displaystyle\int_s^t h_{n-1}(\tau,s...") - 18:30, 21 March 2015 (diff | hist) . . (+31) . . Main Page (→$\Delta$-calculus)
- 18:27, 21 March 2015 (diff | hist) . . (+37) . . Nabla sinh (current)
- 18:27, 21 March 2015 (diff | hist) . . (+37) . . Nabla sine
- 18:27, 21 March 2015 (diff | hist) . . (+37) . . Nabla exponential
- 18:27, 21 March 2015 (diff | hist) . . (+37) . . Nabla cosh
- 18:26, 21 March 2015 (diff | hist) . . (+366) . . N Nabla special functions footer (Created page with "<center><table><tr><h2>$\nabla$-special functions on time scales</h2></tr> <tr> <td>$\Delta$-$\widehat{\cos}_p$</td><td>Nabla cosh|$\Delta$-$\widehat{\cosh}...")
- 18:23, 21 March 2015 (diff | hist) . . (+37) . . Nabla cosine (current)
- 18:22, 21 March 2015 (diff | hist) . . (+30) . . N Dynamic equations (Tom moved page Dynamic equations to Dynamic equation) (current)
- 18:22, 21 March 2015 (diff | hist) . . (0) . . m Dynamic equation (Tom moved page Dynamic equations to Dynamic equation)
- 18:21, 21 March 2015 (diff | hist) . . (-95) . . Delta cosine (→Examples)
- 18:20, 21 March 2015 (diff | hist) . . (-93) . . Delta sine (→Examples)
- 18:18, 21 March 2015 (diff | hist) . . (+37) . . Delta sinh
- 18:18, 21 March 2015 (diff | hist) . . (+37) . . Delta sine
- 18:18, 21 March 2015 (diff | hist) . . (+37) . . Delta exponential
- 18:18, 21 March 2015 (diff | hist) . . (+37) . . Delta cosh
- 18:17, 21 March 2015 (diff | hist) . . (+316) . . N Delta special functions footer (Created page with "<center><table><tr><h2>$\Delta$-special functions on time scales</h2></tr> <tr> <td>$\Delta$-$\cos_p$</td><td>$\Delta$-$\cosh_p$</td><td>Delt...")
- 18:15, 21 March 2015 (diff | hist) . . (+37) . . Delta cosine
- 18:14, 21 March 2015
(diff | hist) . .
**(-625)** . . Delta sinh - 18:13, 21 March 2015 (diff | hist) . . (+456) . . N Derivative of delta sinh (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $p\in$ $C_{rd}$....")
- 18:12, 21 March 2015 (diff | hist) . . (-166) . . Delta sinh
- 18:11, 21 March 2015 (diff | hist) . . (-31) . . Delta cosh
- 18:11, 21 March 2015 (diff | hist) . . (-339) . . Delta cosh
- 18:10, 21 March 2015 (diff | hist) . . (+472) . . N Delta hyperbolic trigonometric second order dynamic equation (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\gamma...")
- 18:09, 21 March 2015 (diff | hist) . . (-1) . . Delta cosh minus delta sinh
- 18:09, 21 March 2015 (diff | hist) . . (+489) . . N Delta cosh minus delta sinh (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The following formula holds: $$\cosh^2_p - \...")
- 18:08, 21 March 2015 (diff | hist) . . (-185) . . Delta cosh
- 18:07, 21 March 2015 (diff | hist) . . (+6) . . Delta sine
- 18:06, 21 March 2015 (diff | hist) . . (+6) . . Delta cosine
- 18:04, 21 March 2015 (diff | hist) . . (+438) . . N Derivative of delta cosh (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $p\in C_{rd}$. If $-\mu p^2 \in \mathcal{R}...")
- 18:03, 21 March 2015 (diff | hist) . . (-312) . . Delta cosh (→Properties)
- 18:02, 21 March 2015 (diff | hist) . . (+6) . . Derivative of delta cosine
- 18:01, 21 March 2015 (diff | hist) . . (+6) . . Sum of squares of delta cosine and delta sine
- 18:01, 21 March 2015 (diff | hist) . . (+5) . . Derivative of Delta sine
- 17:59, 21 March 2015 (diff | hist) . . (+177) . . Delta cosine
- 17:59, 21 March 2015
(diff | hist) . .
**(+691)** . . N Derivative of delta cosine (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> The following formula holds: $$\cos_p^{\D...") - 17:58, 21 March 2015 (diff | hist) . . (-464) . . Delta sine (→Relation to other special functions)
- 17:57, 21 March 2015 (diff | hist) . . (+450) . . N Sum of squares of delta cosine and delta sine (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> The following formula ...")
- 17:56, 21 March 2015
(diff | hist) . .
**(+586)** . . Delta sine (→Properties) - 17:55, 21 March 2015
(diff | hist) . .
**(+722)** . . N Derivative of Delta sine (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> The following formula holds: $$\sin_p^{\Del...") - 17:53, 21 March 2015 (diff | hist) . . (+55) . . Delta sine
- 16:08, 17 March 2015 (diff | hist) . . (0) . . Abel dynamic equation
- 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) . . (+38) . . N Diamond derivative (Tom moved page Diamond derivative to Diamond alpha derivative) (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) . . (+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)** . . Laplace transform (→Properties of Laplace Transforms) - 10:26, 18 January 2015 (diff | hist) . . (+2) . . Laplace transform
- 10:25, 18 January 2015 (diff | hist) . . (-2) . . Laplace transform
- 19:22, 5 December 2014 (diff | hist) . . (+4) . . Abel's theorem (current)
- 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 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...") (current) - 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
- 06:13, 19 October 2014 (diff | hist) . . (-1) . . Integers
- 06:13, 19 October 2014 (diff | hist) . . (+195) . . Integers
- 06:12, 19 October 2014 (diff | hist) . . (+27) . . Integers
- 06:11, 19 October 2014 (diff | hist) . . (+28) . . Integers
- 06:11, 19 October 2014 (diff | hist) . . (0) . . N File:Cos 1T=Z.png (current)
- 06:10, 19 October 2014 (diff | hist) . . (+242) . . Integers
- 06:03, 19 October 2014 (diff | hist) . . (+28) . . Integers
- 06:03, 19 October 2014 (diff | hist) . . (0) . . N File:Sin 1T=Z.png (current)
- 06:03, 19 October 2014 (diff | hist) . . (+466) . . Integers
- 01:21, 5 October 2014
(diff | hist) . .
**(-555)** . . Exponential functions (→Examples of $\Delta$-exponential Functions) - 01:19, 5 October 2014
(diff | hist) . .
**(+555)** . . Exponential functions (→Examples of $\Delta$-exponential Functions) - 22:26, 4 October 2014
(diff | hist) . .
**(-554)** . . Exponential functions (Undo revision 354 by Tom (talk)) - 22:26, 4 October 2014
(diff | hist) . .
**(+554)** . . Exponential functions (→Examples of $\Delta$-exponential Functions) - 22:26, 4 October 2014
(diff | hist) . .
**(-554)** . . Exponential functions (Undo revision 352 by Tom (talk)) - 22:25, 4 October 2014
(diff | hist) . .
**(+554)** . . Exponential functions (→Examples of $\Delta$-exponential Functions) - 22:24, 4 October 2014
(diff | hist) . .
**(+533)** . . Format notes - 22:20, 4 October 2014 (diff | hist) . . (-14) . . Format notes (→Generic list of time scales)
- 22:19, 4 October 2014 (diff | hist) . . (-7) . . Format notes
- 22:19, 4 October 2014
(diff | hist) . .
**(+555)** . . Format notes - 22:02, 4 October 2014 (diff | hist) . . (+32) . . Delta derivative
- 22:02, 4 October 2014 (diff | hist) . . (0) . . Delta derivative
- 22:01, 4 October 2014 (diff | hist) . . (+83) . . Delta derivative
- 16:53, 2 October 2014
(diff | hist) . .
**(+635)** . . N Abel's theorem (Created page with "Let $\mathbb{T}$ be a time scale and consider the dynamic equation defined by the linear operator $$L_2 y(t) = y^{\Delta \Delta}(t) + p(t) y^{\Delta}(t) + q(t)y(t),$$ wher...") - 16:47, 2 October 2014 (diff | hist) . . (+20) . . Main Page (→Calculus on time scales)
- 16:46, 2 October 2014 (diff | hist) . . (+423) . . N Wronskian (Created page with "Let $\mathbb{T}$ be a time scale. Consider the dynamic equation $$y^{\Delta \Delta} + p(t)y^{\Delta} + q(t) y = f(t),$$ where $p,q,$ and $f$ are Continuity | rd-Continuo...") (current)
- 16:39, 2 October 2014 (diff | hist) . . (+1) . . Main Page (→Calculus on time scales)
- 16:39, 2 October 2014 (diff | hist) . . (+25) . . Main Page (→Calculus on time scales)
- 12:00, 22 September 2014 (diff | hist) . . (+92) . . Main Page (→Calculus on time scales)
- 17:39, 21 September 2014 (diff | hist) . . (+15) . . Main Page
- 17:38, 21 September 2014 (diff | hist) . . (+9) . . Variation of parameters (current)
- 17:37, 21 September 2014
(diff | hist) . .
**(+842)** . . N Variation of parameters (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $t_0 \in \mathbb{T}^{\kappa}$. Suppose that $y_1$ and $y_2$ form a fun...") - 17:33, 21 September 2014 (diff | hist) . . (+29) . . Main Page (→Calculus on time scales)
- 16:55, 21 September 2014 (diff | hist) . . (+9) . . Exponential functions (→Examples of $\Delta$-exponential Functions)
- 16:55, 21 September 2014 (diff | hist) . . (+9) . . Exponential functions (→Examples of Exponential Functions)
- 16:50, 21 September 2014 (diff | hist) . . (+40) . . Main Page (→Calculus on time scales)
- 16:46, 21 September 2014
(diff | hist) . .
**(+600)** . . Time scale - 16:38, 21 September 2014 (diff | hist) . . (-9) . . Forward regressive function
- 16:38, 21 September 2014 (diff | hist) . . (+242) . . Forward regressive function
- 16:37, 21 September 2014 (diff | hist) . . (-232) . . Exponential functions (→Examples of Exponential Functions)
- 16:36, 21 September 2014 (diff | hist) . . (+6) . . Exponential functions (→Properties of $\nabla$-exponential functions)
- 10:56, 21 September 2014 (diff | hist) . . (+67) . . Exponential functions
- 10:55, 21 September 2014 (diff | hist) . . (+23) . . Exponential functions
- 10:55, 21 September 2014 (diff | hist) . . (+2) . . Exponential functions
- 10:54, 21 September 2014 (diff | hist) . . (+453) . . Exponential functions
- 10:52, 21 September 2014
(diff | hist) . .
**(+1,652)** . . Exponential functions - 10:37, 21 September 2014 (diff | hist) . . (+306) . . Exponential functions (→$\nabla$-exponential Functions)
- 10:34, 21 September 2014 (diff | hist) . . (+179) . . Exponential functions
- 10:31, 21 September 2014 (diff | hist) . . (-12) . . Nabla derivative (→References)
- 10:31, 21 September 2014
(diff | hist) . .
**(+823)** . . N Nabla derivative (Created page with "Let $\mathbb{T}$ be a time scale. If $\mathbb{T}$ has a right-scattered minimum $m$, then define $\mathbb{T}_{\kappa}=\mathbb{T} \setminus \{m\}$, otherwise let $\mathbb{T...") - 10:24, 21 September 2014 (diff | hist) . . (+44) . . Main Page (→Calculus on time scales)
- 04:51, 12 September 2014
(diff | hist) . .
**(+964)** . . Function spaces (current) - 04:42, 12 September 2014 (diff | hist) . . (-12) . . Function spaces (→References)
- 04:42, 12 September 2014 (diff | hist) . . (+141) . . N Function spaces (Created page with "=References= <a href="http://campus.mst.edu/ijde/contents/v2n1p2.pdf">Ozlem Batit. Function spaces and their duals spaces on time scales.</a>")
- 04:41, 12 September 2014 (diff | hist) . . (+21) . . Main Page
- 20:54, 10 September 2014 (diff | hist) . . (-1) . . Complex calculus
- 20:44, 10 September 2014
(diff | hist) . .
**(+876)** . . Main Page - 20:32, 10 September 2014 (diff | hist) . . (+37) . . N Trig functions (Tom moved page Trig functions to Trigonometric functions) (current)
- 07:13, 10 September 2014 (diff | hist) . . (+2) . . Delta Wirtinger inequality
- 07:12, 10 September 2014 (diff | hist) . . (+2) . . Delta Lyapunov inequality
- 23:30, 7 September 2014 (diff | hist) . . (+48) . . Main Page (→Calculus on time scales)
- 04:54, 6 September 2014
(diff | hist) . .
**(+1,030)** . . N Delta Wirtinger inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $M$ be positive and strictly monotone such that $M^{\Delta}$ exists an i...") - 04:49, 6 September 2014
(diff | hist) . .
**(+572)** . . N Delta Opial inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> For a differentiable $x \colon [0,h] \cap \mathbb{T} \rightarrow \mathbb{R}$...") - 04:48, 6 September 2014
(diff | hist) . .
**(+678)** . . N Delta Minkowski inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $a,b \in \mathbb{T}$ and $p>1$. For rd-continuous $f,g ...") - 04:46, 6 September 2014
(diff | hist) . .
**(+911)** . . N Delta Lyapunov inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $p \colon \mathbb{T} \rightarrow \mathbb{R}^+$ be positive-valued and [c...") - 04:41, 6 September 2014
(diff | hist) . .
**(+646)** . . N Delta Jensen inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $a,b \in \mathbb{T}$ and $c,d \in \mathbb{R}$. Suppose $g \colon [a,b]\c...") - 04:39, 6 September 2014
(diff | hist) . .
**(+671)** . . N Delta Hölder inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $a,b \in \mathbb{T}$. For rd-continuous $f,g \colon [a,...") - 04:37, 6 September 2014 (diff | hist) . . (+17) . . Delta Gronwall inequality
- 04:36, 6 September 2014 (diff | hist) . . (0) . . Delta Bihari inequality
- 04:36, 6 September 2014 (diff | hist) . . (+17) . . Delta Bihari inequality
- 04:36, 6 September 2014 (diff | hist) . . (+17) . . Delta Cauchy-Schwarz inequality
- 04:35, 6 September 2014
(diff | hist) . .
**(+651)** . . N Delta Gronwall inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $y$ and $f$ be rd-continuous and $p$ be regressive_function | positive...") - 04:33, 6 September 2014 (diff | hist) . . (+457) . . Delta Cauchy-Schwarz inequality
- 04:30, 6 September 2014 (diff | hist) . . (+140) . . N Delta Cauchy-Schwarz inequality (Created page with "==References== [http://www.math.unl.edu/~apeterson1/pub/ineq.pdf R. Agarwal, M. Bohner, A. Peterson - Inequalities on Time Scales: A Survey]")
- 04:30, 6 September 2014 (diff | hist) . . (+142) . . Delta Bernoulli inequality
- 04:30, 6 September 2014 (diff | hist) . . (+142) . . Delta Bihari inequality
- 04:27, 6 September 2014
(diff | hist) . .
**(+668)** . . N Delta Bihari inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Suppose that $g$ is continuous and nondecreasing, $p$ is rd-continuous and n...") - 04:24, 6 September 2014 (diff | hist) . . (+22) . . Delta Bernoulli inequality
- 04:23, 6 September 2014 (diff | hist) . . (+318) . . N Delta Bernoulli inequality (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\alpha \in \mathbb{R}$ be a positively regressive constant. Then $$...")
- 04:22, 6 September 2014 (diff | hist) . . (+104) . . Main Page (→Inequalities)
- 04:20, 6 September 2014 (diff | hist) . . (+165) . . Main Page
- 20:04, 4 September 2014
(diff | hist) . .
**(+545)** . . Isolated points - 01:33, 29 August 2014 (diff | hist) . . (+397) . . Complex calculus
- 01:30, 29 August 2014
(diff | hist) . .
**(+3,714)** . . Complex calculus - 01:06, 29 August 2014 (diff | hist) . . (-2) . . Complex calculus
- 00:39, 29 August 2014
(diff | hist) . .
**(+3,051)** . . Convergence of time scales - 20:37, 28 August 2014 (diff | hist) . . (+174) . . Convergence of time scales (→Which topology should be used on $\mathrm{CL}(\mathbb{R})$?)
- 20:35, 28 August 2014 (diff | hist) . . (+277) . . Convergence of time scales
- 19:42, 28 August 2014 (diff | hist) . . (-25) . . Main Page
- 19:41, 28 August 2014 (diff | hist) . . (+40) . . N Time scale convergence (Tom moved page Time scale convergence to Convergence of time scales) (current)
- 19:41, 28 August 2014 (diff | hist) . . (0) . . m Convergence of time scales (Tom moved page Time scale convergence to Convergence of time scales)
- 19:36, 28 August 2014 (diff | hist) . . (-25) . . Convergence of time scales
- 19:35, 28 August 2014
(diff | hist) . .
**(+709)** . . N Convergence of time scales (Created page with "The set of time scales is the [http://dualaud.net/hyperspacewiki/index.php/Hyperspace hyperspace] $\mathrm{CL}(\mathbb{R})$. There are three popular [http://d...") - 18:42, 28 August 2014 (diff | hist) . . (+9) . . Time scale (→The set of time scales)
- 18:41, 28 August 2014 (diff | hist) . . (-2) . . Time scale (→The set of time scales)
- 18:41, 28 August 2014 (diff | hist) . . (+13) . . Time scale (→The set of time scales)
- 18:40, 28 August 2014 (diff | hist) . . (-3) . . Time scale (→The set of time scales)
- 18:39, 28 August 2014 (diff | hist) . . (+57) . . Main Page (→Calculus on time scales)
- 03:58, 24 July 2014 (diff | hist) . . (+329) . . File:Hilgercircle,T=hZ.png (current)
- 03:55, 24 July 2014 (diff | hist) . . (+9) . . Format notes (→Theorem/proof box template)
- 03:55, 24 July 2014 (diff | hist) . . (+77) . . Format notes
- 03:54, 24 July 2014
(diff | hist) . .
**(+1,059)** . . Format notes - 03:50, 24 July 2014 (diff | hist) . . (+58) . . N Timescalewiki:About (Created page with "Timescalewiki is run by [http://tomcuchta.com Tom Cuchta].")
- 03:29, 24 July 2014 (diff | hist) . . (0) . . Format notes (→Theorem/proof box template)
- 03:29, 24 July 2014 (diff | hist) . . (-180) . . Format notes
- 03:29, 24 July 2014
(diff | hist) . .
**(+695)** . . N Format notes (Created page with "=Theorem/proof box template= <pre><div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>THEOREM/LEMMA/PROPOSITION:</strong> STATEMENT OF THEOREM $$\...") - 03:27, 24 July 2014 (diff | hist) . . (+29) . . MediaWiki:Sidebar
- 03:22, 24 July 2014 (diff | hist) . . (+43) . . Main Page (→Calculus on time scales)
- 03:09, 24 July 2014 (diff | hist) . . (-1) . . Gamma function (→References) (current)
- 03:09, 24 July 2014 (diff | hist) . . (-13) . . Gamma function (→Examples of gamma functions)
- 03:09, 24 July 2014 (diff | hist) . . (-115) . . Time scale (→Examples of time scales)
- 03:08, 24 July 2014 (diff | hist) . . (-10) . . Time scale (→Examples of time scales)
- 03:08, 24 July 2014 (diff | hist) . . (+115) . . Time scale
- 03:06, 24 July 2014
(diff | hist) . .
**(+2,281)** . . Gamma function - 02:53, 24 July 2014
(diff | hist) . .
**(+596)** . . Gamma function (→Examples of gamma functions) - 02:46, 24 July 2014 (diff | hist) . . (+32) . . Gamma function
- 02:43, 24 July 2014 (diff | hist) . . (+479) . . Gamma function
- 02:39, 24 July 2014 (diff | hist) . . (+1) . . Laplace transform
- 21:03, 23 July 2014 (diff | hist) . . (+106) . . Multiples of integers
- 21:01, 23 July 2014
(diff | hist) . .
**(+646)** . . N Gamma function (Created page with "We define $$p_f(t,s)=e_{\frac{f}{\mathrm{id}}}(t,s),$$ where $\mathrm{id}$ denotes the identity map $\mathrm{id} \colon \mathbb{T} \rightarrow \mathbb{T}$ and $e_{\cdot}$ den...") - 21:00, 23 July 2014 (diff | hist) . . (-18) . . Main Page
- 20:45, 23 July 2014 (diff | hist) . . (+2) . . Forward regressive function
- 19:44, 21 July 2014 (diff | hist) . . (-263) . . Laplace transform
- 19:30, 21 July 2014 (diff | hist) . . (-188) . . Laplace transform
- 19:28, 21 July 2014 (diff | hist) . . (-27) . . Laplace transform
- 19:26, 21 July 2014 (diff | hist) . . (+47) . . Laplace transform
- 19:22, 21 July 2014 (diff | hist) . . (+21) . . Laplace transform (→References)
- 19:21, 21 July 2014
(diff | hist) . .
**(+501)** . . Laplace transform (→References) - 19:00, 21 July 2014 (diff | hist) . . (-4) . . Time scale
- 16:00, 18 July 2014 (diff | hist) . . (+304) . . Main Page
- 19:09, 16 July 2014 (diff | hist) . . (+499) . . N Asd (Created page with "<bibtex> @inproceedings{garfinkel:carving07, title="Properties of the Laplace transform on time scales with arbitrary graininess", author="Bohner, Martin and Guseinov, ...") (current)
- 16:01, 16 July 2014 (diff | hist) . . (+30) . . Laplace transform
- 16:01, 16 July 2014 (diff | hist) . . (-8) . . Laplace transform
- 23:59, 15 July 2014
(diff | hist) . .
**(+1,511)** . . Laplace transform (→Properties of Laplace Transforms) - 23:36, 15 July 2014 (diff | hist) . . (+2) . . Multiples of integers
- 21:57, 15 July 2014
(diff | hist) . .
**(+2,887)** . . N Complex calculus (Created page with "Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales. We define a distance function on $\mathbb{T}_1 \times \mathbb{T}_2$ by the formula $$d((x_1,y_1),(x_2,y_2))=\sqrt{(x_2-x...") - 21:06, 15 July 2014 (diff | hist) . . (+56) . . Main Page (→Calculus on time scales)
- 20:48, 15 July 2014 (diff | hist) . . (+158) . . Multiples of integers
- 20:46, 15 July 2014 (diff | hist) . . (+179) . . N File:Hilgercircle,T=hZ.png (The time scale $\mathbb{T}=h\mathbb{Z}$ has constant graininess function $\mu \equiv h$. Hence if $z$ is a regressive constant, then $$1 + hz \neq 0$$ or $$z \neq -\dfrac{1}{h}.$$)
- 20:37, 15 July 2014 (diff | hist) . . (-14) . . Laplace transform (→Inverse Transform on isolated time scales)
- 16:08, 15 July 2014 (diff | hist) . . (+17) . . Laplace transform (→Inverse Transform on isolated time scales)
- 16:07, 15 July 2014 (diff | hist) . . (+34) . . Laplace transform (→Properties of Laplace Transforms)
- 16:04, 15 July 2014 (diff | hist) . . (+60) . . Laplace transform (→Properties of Laplace Transforms)
- 16:04, 15 July 2014 (diff | hist) . . (+147) . . Laplace transform (→Inverse Transform on isolated time scales)
- 16:01, 15 July 2014 (diff | hist) . . (+396) . . Laplace transform (→Properties of Laplace Transforms)
- 18:36, 23 June 2014 (diff | hist) . . (-3) . . Laplace transform
- 18:35, 23 June 2014 (diff | hist) . . (0) . . Laplace transform
- 21:05, 17 June 2014 (diff | hist) . . (+1) . . Laplace transform (→Properties of Laplace Transforms)
- 21:05, 17 June 2014 (diff | hist) . . (+199) . . Laplace transform (→Properties of Laplace Transforms)
- 21:03, 17 June 2014 (diff | hist) . . (+144) . . Laplace transform (→Properties of Laplace Transforms)
- 20:07, 11 June 2014 (diff | hist) . . (+15) . . Laplace transform (→Inverse Transform on isolated time scales)
- 20:00, 11 June 2014
(diff | hist) . .
**(+676)** . . Laplace transform (→Inverse Transform on isolated time scales) - 21:47, 10 June 2014 (diff | hist) . . (+479) . . Laplace transform (→Inverse Transform on isolated time scales)
- 19:53, 10 June 2014 (diff | hist) . . (+231) . . N File:Hilger circles.png (This image is from the paper Davis, John M. ; Gravagne, Ian A. ; Jackson, Billy J. ; Marks, Robert J., II ; Ramos, Alice A. The Laplace transform on time scales revisited. J. Math. Anal. Appl. 332 (2007), no. 2, 1291--1307.) (current)
- 19:49, 10 June 2014
(diff | hist) . .
**(+715)** . . Laplace transform - 14:31, 9 June 2014 (diff | hist) . . (+7) . . Time scale
- 14:03, 9 June 2014 (diff | hist) . . (+233) . . Dynamic equation (→Examples of Dynamic Equations)
- 13:58, 9 June 2014 (diff | hist) . . (0) . . Dynamic equation (→Examples of Dynamic Equations)
- 13:58, 9 June 2014 (diff | hist) . . (+15) . . Dynamic equation (→Examples of Dynamic Equations)
- 13:56, 9 June 2014 (diff | hist) . . (+15) . . Laplace transform
- 13:56, 9 June 2014
(diff | hist) . .
**(+839)** . . Laplace transform - 13:46, 9 June 2014 (diff | hist) . . (+74) . . Laplace transform (→Properties of Laplace Transforms)
- 13:45, 9 June 2014
(diff | hist) . .
**(+710)** . . Laplace transform (→Properties of Laplace Transforms) - 02:07, 4 June 2014 (diff | hist) . . (+13) . . Delta derivative
- 18:55, 26 May 2014 (diff | hist) . . (+108) . . Laplace transform
- 18:44, 26 May 2014
(diff | hist) . .
**(+619)** . . Laplace transform - 08:55, 26 May 2014 (diff | hist) . . (+1) . . Gaussian bell
- 05:41, 26 May 2014 (diff | hist) . . (+52) . . Time scale (→The set of time scales)
- 05:40, 26 May 2014 (diff | hist) . . (+12) . . Time scale (→The set of time scales)
- 05:39, 26 May 2014 (diff | hist) . . (+19) . . Time scale (→The set of time scales)
- 05:36, 26 May 2014 (diff | hist) . . (+468) . . Time scale
- 02:26, 26 May 2014 (diff | hist) . . (+29) . . Main Page
- 02:25, 26 May 2014 (diff | hist) . . (+39) . . Exponential functions (→Examples of Exponential Functions)
- 02:24, 26 May 2014 (diff | hist) . . (+351) . . Gaussian bell
- 02:17, 26 May 2014 (diff | hist) . . (+437) . . Forward regressive function
- 02:09, 26 May 2014 (diff | hist) . . (+313) . . N Gaussian bell (Created page with "The Gaussian bell is defined<ref name=gaussbell /> ==References== <references> <ref name=gaussbell>[http://www.math.unl.edu/~apeterson1/pub/epsgauss.pdf Erbe, L.; Peterson, A...")
- 01:05, 26 May 2014 (diff | hist) . . (+93) . . Isolated points
- 01:03, 26 May 2014 (diff | hist) . . (+38) . . Isolated points
- 01:02, 26 May 2014 (diff | hist) . . (+17) . . Isolated points
- 01:02, 26 May 2014 (diff | hist) . . (-369) . . Isolated points
- 22:09, 25 May 2014 (diff | hist) . . (+1) . . Forward regressive function (→Related definitions)
- 22:08, 25 May 2014 (diff | hist) . . (+238) . . Forward regressive function (→Related definitions)
- 22:05, 25 May 2014 (diff | hist) . . (+49) . . Main Page
- 19:56, 25 May 2014 (diff | hist) . . (+2) . . Exponential functions (→Examples of Exponential Functions)
- 19:55, 25 May 2014 (diff | hist) . . (+22) . . Exponential functions (→Examples of Exponential Functions)
- 19:53, 25 May 2014 (diff | hist) . . (+16) . . Exponential functions (→Examples of Exponential Functions)
- 19:53, 25 May 2014 (diff | hist) . . (+208) . . Exponential functions (→Examples of Exponential Functions)
- 19:50, 25 May 2014 (diff | hist) . . (+398) . . Exponential functions (→Examples of Exponential Functions)
- 19:42, 25 May 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.)
- 19:41, 25 May 2014 (diff | hist) . . (+1) . . Delta derivative
- 19:41, 25 May 2014 (diff | hist) . . (+158) . . Delta derivative
- 19:20, 25 May 2014 (diff | hist) . . (+19) . . Delta derivative
- 19:19, 25 May 2014 (diff | hist) . . (+179) . . Delta derivative
- 18:35, 25 May 2014 (diff | hist) . . (+348) . . N Laplace transform (Created page with "Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. For an appropriate $D \subset \mathbb{R}$ we define the Laplace transfo...")
- 18:29, 25 May 2014 (diff | hist) . . (+43) . . Main Page
- 04:12, 25 May 2014 (diff | hist) . . (-14) . . Delta integral (→Riemann definition of $\Delta$-integral)
- 04:12, 25 May 2014 (diff | hist) . . (-14) . . Delta integral (→Cauchy definition of $\Delta$-integral)
- 03:48, 25 May 2014 (diff | hist) . . (+204) . . Dynamic equation (→Examples of Dynamic Equations)
- 03:46, 25 May 2014 (diff | hist) . . (+118) . . Dynamic equation
- 23:52, 21 May 2014
(diff | hist) . .
**(-632)** . . Exponential functions (→Examples of Exponential Functions) - 18:48, 20 May 2014 (diff | hist) . . (+28) . . N Delta integration (Tom moved page Delta integration to Delta integral) (current)
- 18:48, 20 May 2014 (diff | hist) . . (0) . . m Delta integral (Tom moved page Delta integration to Delta integral)
- 18:42, 20 May 2014 (diff | hist) . . (+13) . . Delta integral (→Cauchy definition of $\Delta$-integral)
- 18:40, 20 May 2014 (diff | hist) . . (+22) . . Delta integral (→Properties)
- 18:40, 20 May 2014 (diff | hist) . . (+366) . . Delta integral
- 18:36, 20 May 2014
(diff | hist) . .
**(+2,564)** . . N Delta integral (Created page with "There are a few equivalent definitions of $\Delta$-integration. ==Cauchy integral== Let $\mathbb{T}$ be a time_scale. We say that $f$ is regulated if its right-sided limi...") - 18:20, 20 May 2014 (diff | hist) . . (+1) . . Continuous
- 18:19, 20 May 2014 (diff | hist) . . (+309) . . Continuous
- 18:17, 20 May 2014 (diff | hist) . . (+87) . . Main Page
- 18:08, 20 May 2014 (diff | hist) . . (-31) . . Time scale
- 18:07, 20 May 2014 (diff | hist) . . (+93) . . Time scale
- 18:06, 20 May 2014 (diff | hist) . . (+26) . . Time scale
- 18:04, 20 May 2014 (diff | hist) . . (+202) . . Time scale
- 18:00, 20 May 2014 (diff | hist) . . (-1) . . Isolated points
- 18:00, 20 May 2014 (diff | hist) . . (+6) . . Isolated points
- 17:59, 20 May 2014 (diff | hist) . . (+55) . . Isolated points
- 17:54, 20 May 2014 (diff | hist) . . (-1) . . Integers
- 17:53, 20 May 2014 (diff | hist) . . (+57) . . Closure of unit fractions
- 17:52, 20 May 2014 (diff | hist) . . (0) . . Time scale
- 21:34, 19 May 2014 (diff | hist) . . (+37) . . Dynamic equation
- 21:32, 19 May 2014 (diff | hist) . . (+17) . . Dynamic equation
- 21:31, 19 May 2014
(diff | hist) . .
**(+754)** . . Dynamic equation - 21:13, 19 May 2014 (diff | hist) . . (+280) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 21:09, 19 May 2014 (diff | hist) . . (+4) . . Delta derivative (→Interesting Examples)
- 21:07, 19 May 2014 (diff | hist) . . (0) . . Delta derivative (→Interesting Examples)
- 21:07, 19 May 2014 (diff | hist) . . (+253) . . Delta derivative (→Interesting Examples)
- 21:05, 19 May 2014 (diff | hist) . . (+356) . . Time scale
- 21:02, 19 May 2014 (diff | hist) . . (+4) . . Continuous
- 21:02, 19 May 2014 (diff | hist) . . (+248) . . Continuous
- 21:00, 19 May 2014 (diff | hist) . . (+256) . . N Continuous (Created page with "Let $X \subset \mathbb{R}$ and let $t \in X%. We say that a function $f \colon X \rightarrow \mathbb{R}$ is continuous at $t$ if for every $\epsilon >0$ there exists $\delta >...")
- 20:58, 19 May 2014 (diff | hist) . . (+90) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 20:57, 19 May 2014 (diff | hist) . . (-397) . . Delta derivative
- 20:45, 19 May 2014 (diff | hist) . . (+126) . . Delta derivative
- 20:19, 19 May 2014 (diff | hist) . . (+304) . . Delta derivative
- 20:14, 19 May 2014 (diff | hist) . . (+3) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 20:13, 19 May 2014 (diff | hist) . . (+1) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 20:12, 19 May 2014
(diff | hist) . .
**(+547)** . . Delta derivative - 19:59, 19 May 2014 (diff | hist) . . (-21) . . Dynamic equation (→Dynamic Equations)
- 19:59, 19 May 2014 (diff | hist) . . (+21) . . N Dynamic equation (Created page with "==Dynamic Equations==")
- 19:57, 19 May 2014 (diff | hist) . . (+43) . . Main Page
- 19:50, 19 May 2014 (diff | hist) . . (+79) . . Exponential functions (→Examples of Exponential Functions)
- 19:49, 19 May 2014 (diff | hist) . . (+3) . . Exponential functions (→Examples of Exponential Functions)
- 19:49, 19 May 2014 (diff | hist) . . (+73) . . Exponential functions (→Examples of Exponential Functions)
- 19:48, 19 May 2014 (diff | hist) . . (-131) . . Exponential functions (→Examples of Exponential Functions)
- 19:47, 19 May 2014 (diff | hist) . . (+168) . . Exponential functions (→Examples of Exponential Functions)
- 19:45, 19 May 2014 (diff | hist) . . (-20) . . Integers
- 19:44, 19 May 2014 (diff | hist) . . (+25) . . Exponential functions (→Examples of Exponential Functions)
- 19:43, 19 May 2014 (diff | hist) . . (-206) . . Exponential functions (→Examples of Exponential Functions)
- 19:42, 19 May 2014 (diff | hist) . . (+8) . . Exponential functions (→Examples of Exponential Functions)
- 19:39, 19 May 2014 (diff | hist) . . (+201) . . Exponential functions (→Examples of Exponential Functions)
- 19:35, 19 May 2014 (diff | hist) . . (-45) . . Exponential functions (→Examples of Exponential Functions)
- 05:31, 18 May 2014
(diff | hist) . .
**(+1,167)** . . N Square integers (Created page with "The set $\mathbb{Z}^2 = \{0,1,4,9,16,\ldots\}$ of square integers is a time scale. {| class="wikitable" |+$\mathbb{T}=\mathbb{Z}^2$ |- |Generic element $t\in \mathbb{T}$:...") - 05:28, 18 May 2014 (diff | hist) . . (+91) . . Time scale
- 05:26, 18 May 2014 (diff | hist) . . (-2) . . Exponential functions
- 05:25, 18 May 2014 (diff | hist) . . (+2) . . Main Page
- 05:24, 18 May 2014 (diff | hist) . . (+325) . . Forward regressive function
- 05:20, 18 May 2014 (diff | hist) . . (+45) . . Exponential functions (→Examples of Exponential Functions)
- 05:18, 18 May 2014 (diff | hist) . . (+485) . . Exponential functions
- 05:13, 18 May 2014 (diff | hist) . . (+34) . . Forward regressive function
- 05:05, 18 May 2014 (diff | hist) . . (-352) . . Isolated points
- 05:05, 18 May 2014
(diff | hist) . .
**(+1,626)** . . N Isolated points (Created page with "Let $X \subset \mathbb{R}$. We say a point $x \in X$ is an isolated point if there exists a $\delta > 0$ such that $(t-\delta,t+\delta) \cap X = \emptyset$. It is known that f...") - 04:56, 18 May 2014 (diff | hist) . . (-10) . . Time scale
- 04:55, 18 May 2014 (diff | hist) . . (+103) . . Time scale
- 04:52, 18 May 2014 (diff | hist) . . (+123) . . Quantum q less than 1
- 04:49, 18 May 2014
(diff | hist) . .
**(+1,261)** . . N Quantum q less than 1 (Created page with "Let $q<1$. The set $\overline{q^{\mathbb{Z}}}=\{0, \ldots, q^{2}, q^{1}, 1, q^{-1}, q^{-2}, \ldots \}$ of quantum numbers is a time scale. {| class="wikitable" |+$\mathbb...") - 04:46, 18 May 2014 (diff | hist) . . (+108) . . Quantum q greater than 1
- 04:38, 18 May 2014
(diff | hist) . .
**(+1,211)** . . N Quantum q greater than 1 (Created page with "Let $q>1$. The set $\overline{q^{\mathbb{Z}}}=\{\ldots, q^{-2}, q^{-1}, 1, q, q^2, \ldots \}$ of quantum numbers is a time scale. {| class="wikitable" |+$\mathbb{T}=\over...") - 04:33, 18 May 2014 (diff | hist) . . (+179) . . Time scale
- 04:30, 18 May 2014
(diff | hist) . .
**(+1,017)** . . N Closure of unit fractions (Created page with "The set $\overline{\left\{\dfrac{1}{n} \colon n \in \mathbb{Z}^+\right\}}=\left\{ 0,1,\dfrac{1}{2},\dfrac{1}{3},\ldots \right\}$, where the $\overline{\mathrm{overline}}$ deno...") - 04:26, 18 May 2014
(diff | hist) . .
**(+835)** . . N Integers (Created page with "The set $h\mathbb{Z}=\{\ldots,-2h,-h,0,h,2h,\ldots\}$ of multiples of the integers is a time scale. {| class="wikitable" |+$\mathbb{T}=h\mathbb{Z}$ |- |Generic element $t...") - 04:24, 18 May 2014
(diff | hist) . .
**(+914)** . . N Multiples of integers (Created page with "The set $h\mathbb{Z}=\{\ldots,-2h,-h,0,h,2h,\ldots\}$ of multiples of the integers is a time scale. {| class="wikitable" |+$\mathbb{T}=h\mathbb{Z}$ |- |Generic element $t...") - 04:19, 18 May 2014
(diff | hist) . .
**(+2,316)** . . N Harmonic numbers (Created page with "The set $\mathbb{H}=\left\{\displaystyle\sum_{k=1}^n \dfrac{1}{k} \colon n \in \mathbb{Z}^+ \right\}$ of harmonic numbers is a time scale. {| class="wikitable" |+$\mathbb...") - 04:17, 18 May 2014 (diff | hist) . . (+48) . . Real numbers
- 04:16, 18 May 2014 (diff | hist) . . (+3) . . Real numbers
- 04:15, 18 May 2014 (diff | hist) . . (+44) . . Real numbers
- 04:04, 18 May 2014 (diff | hist) . . (-191) . . Exponential functions
- 03:58, 18 May 2014
(diff | hist) . .
**(+648)** . . Main Page - 03:49, 18 May 2014 (diff | hist) . . (+20) . . Forward regressive function
- 03:48, 18 May 2014
(diff | hist) . .
**(+757)** . . N Forward regressive function (Created page with "Let $\mathbb{T}$ be a time scale. Let $p \colon \mathbb{T} \rightarrow \mathbb{R}$. We say that $p$ is ''regressive'' if for all $t \in \mathbb{T}^{\kappa}$ ...") - 03:37, 18 May 2014 (diff | hist) . . (+72) . . Real numbers
- 03:35, 18 May 2014 (diff | hist) . . (+418) . . Real numbers
- 03:34, 18 May 2014 (diff | hist) . . (+353) . . Real numbers
- 03:28, 18 May 2014 (diff | hist) . . (+117) . . Time scale (→Examples of time scales)
- 03:26, 18 May 2014 (diff | hist) . . (0) . . MediaWiki:Sidebar
- 03:26, 18 May 2014 (diff | hist) . . (+183) . . N MediaWiki:Sidebar (Created page with " * navigation ** mainpage|mainpage-description ** recentchanges-url|recentchanges ** randompage-url|randompage ** references|references ** helppage|help * SEARCH * TOOLBOX * L...")
- 03:16, 18 May 2014 (diff | hist) . . (+38) . . Exponential functions
- 03:13, 18 May 2014 (diff | hist) . . (-46) . . Exponential functions
- 03:12, 18 May 2014 (diff | hist) . . (+119) . . Main Page
- 03:10, 18 May 2014
(diff | hist) . .
**(+2,167)** . . Exponential functions - 03:01, 18 May 2014 (diff | hist) . . (+57) . . N Real numbers (Created page with "The set $\mathbb{R}$ of real numbers is a time scale.")
- 03:01, 18 May 2014
(diff | hist) . .
**(+520)** . . N Exponential functions (Created page with "{| class="wikitable" |+Time Scale Exponential Functions |- |$\mathbb{T}=$ |$e_p(t,s)=$ |- |$\mathbb{R}$ |$\begin{array}{ll} e_p(t,s) &= \exp \left( \displaystyle\int_s^t \disp...") - 02:51, 18 May 2014 (diff | hist) . . (+31) . . Main Page
- 02:51, 18 May 2014 (diff | hist) . . (+53) . . Main Page
- 02:50, 18 May 2014 (diff | hist) . . (-433) . . Main Page
- 02:48, 18 May 2014 (diff | hist) . . (+137) . . Time scale
- 02:46, 18 May 2014 (diff | hist) . . (+108) . . Time scale
- 02:42, 18 May 2014 (diff | hist) . . (+113) . . Time scale
- 02:37, 18 May 2014 (diff | hist) . . (+496) . . N Delta derivative (Created page with "Let $\mathbb{T}$ be a time scale. Define $\mathbb{T}^{\kappa} := \mathbb{T} \setminus \sup \mathbb{T}$. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. We define the del...")
- 02:35, 18 May 2014
(diff | hist) . .
**(+591)** . . Time scale - 02:23, 18 May 2014 (diff | hist) . . (+33) . . Time scale
- 01:43, 18 May 2014 (diff | hist) . . (+25) . . N Time scale (Created page with "A ''time scale'' is a set")

(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)