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) . . (+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) . . 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
- 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...")
- 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
- 17:33, 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
- 16:38, 21 September 2014 (diff | hist) . . (+242) . . Forward regressive
- 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
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