User contributions
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- 18:49, 21 March 2015 (diff | hist) . . (+39) . . Uniform distribution
- 18:48, 21 March 2015 (diff | hist) . . (+16) . . Delta derivative (→Interesting Examples)
- 18:47, 21 March 2015 (diff | hist) . . (+55) . . Delta derivative (→Interesting Examples)
- 18:46, 21 March 2015 (diff | hist) . . (+21) . . Delta differentiable implies continuous
- 18:46, 21 March 2015 (diff | hist) . . (+40) . . Delta differentiable implies continuous
- 18:45, 21 March 2015 (diff | hist) . . (+269) . . N Delta differentiable implies continuous (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> If $f$ is $\Delta$-differentiable at $t$, then $f$ is continuity | continu...")
- 18:45, 21 March 2015 (diff | hist) . . (-229) . . 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.)
- 18:39, 21 March 2015 (diff | hist) . . (+17) . . Table:Time scale delta sine functions (current)
- 18:38, 21 March 2015 (diff | hist) . . (+42) . . Table:Time scale delta sine functions
- 18:37, 21 March 2015 (diff | hist) . . (+93) . . Table:Time scale delta sine functions
- 18:37, 21 March 2015 (diff | hist) . . (-495) . . Delta sine (→Examples)
- 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) . . (0) . . m Dynamic equation (Tom moved page Dynamic equations to Dynamic equation)
- 18:22, 21 March 2015 (diff | hist) . . (+30) . . N Dynamic equations (Tom moved page Dynamic equations to Dynamic equation) (current)
- 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) . . (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
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