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- 20:43, 29 April 2015 (diff | hist) . . (+284) . . Derivation of delta sin sub p for T=Z
- 20:37, 29 April 2015 (diff | hist) . . (-4) . . Derivation of delta sin sub p for T=Z
- 20:37, 29 April 2015 (diff | hist) . . (+157) . . Integers
- 20:36, 29 April 2015 (diff | hist) . . (+185) . . N Derivation of delta sin sub p for T=Z (Created page with "$$\begin{array}{ll} \sin_p(t,s) &= \dfrac{e_{ip}(t,s)-e_{-ip}(t,s)}{2i} \\ &= \dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i} \en...")
- 19:38, 29 April 2015 (diff | hist) . . (-13) . . Real numbers
- 19:36, 29 April 2015 (diff | hist) . . (-9) . . Real numbers
- 19:33, 29 April 2015 (diff | hist) . . (+512) . . N Derivation of delta e sub p on T=Z (Created page with "If $t>s$, then $$\begin{array}{ll} e_p(t,s) &= \exp \left( \displaystyle\int_{s}^{t} \dfrac{1}{\mu(\tau)} \log(1 + p(\tau)) \Delta \tau \right) \\ &= \exp \left( \displaystyle...") (current)
- 19:31, 29 April 2015 (diff | hist) . . (-211) . . Integers
- 19:26, 29 April 2015 (diff | hist) . . (+430) . . Real numbers
- 19:13, 29 April 2015 (diff | hist) . . (+389) . . N Derivation of delta exponential T=R (Created page with "$\begin{array}{ll} e_p(t,s) &= \exp \left( \displaystyle\int_s^t \displaystyle\lim_{h \rightarrow 0} \dfrac{1}{h} \log(1 + hp(\tau)) d\tau \right) \\ &\hspace{-10pt} \stackrel...") (current)
- 19:13, 29 April 2015 (diff | hist) . . (-349) . . Real numbers
- 19:12, 29 April 2015 (diff | hist) . . (0) . . Real numbers
- 07:24, 29 April 2015 (diff | hist) . . (+75) . . Real numbers
- 07:22, 29 April 2015 (diff | hist) . . (+878) . . N Examples of time scales (Created page with "==Examples of time scales== # The real line: $\mathbb{R}$ # The integers: $\mathbb{Z} = \{\ldots, -1,0,1,\ldots\}$ # Multiples of integer...") (current)
- 07:22, 29 April 2015 (diff | hist) . . (-846) . . Main Page
- 05:29, 26 April 2015 (diff | hist) . . (+8) . . Expected value (→Properties)
- 05:17, 26 April 2015 (diff | hist) . . (-18) . . Expected value
- 03:18, 26 April 2015 (diff | hist) . . (-8) . . Convergence of time scales (current)
- 01:30, 17 April 2015 (diff | hist) . . (+34) . . Main Page (→Calculus on time scales)
- 22:14, 14 April 2015 (diff | hist) . . (+36) . . Variance (→Examples)
- 22:14, 14 April 2015 (diff | hist) . . (+42) . . Expected value
- 22:13, 14 April 2015 (diff | hist) . . (+331) . . N Variance of gamma distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the gamma distribution o...") (current)
- 22:13, 14 April 2015 (diff | hist) . . (+333) . . N Expected value of gamma distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the gamma distributi...") (current)
- 22:13, 14 April 2015 (diff | hist) . . (+192) . . Gamma distribution
- 22:05, 14 April 2015 (diff | hist) . . (+42) . . Variance (→Examples)
- 22:04, 14 April 2015 (diff | hist) . . (+48) . . Expected value
- 22:04, 14 April 2015 (diff | hist) . . (+343) . . N Variance of exponential distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the exponential dist...")
- 22:04, 14 April 2015 (diff | hist) . . (+345) . . N Expected value of exponential distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $X$ have the exponentia...")
- 22:03, 14 April 2015 (diff | hist) . . (-513) . . Exponential distribution
- 22:02, 14 April 2015 (diff | hist) . . (+50) . . Variance
- 22:02, 14 April 2015 (diff | hist) . . (-16) . . Variance
- 22:01, 14 April 2015 (diff | hist) . . (+55) . . Expected value
- 22:00, 14 April 2015 (diff | hist) . . (0) . . Variance of uniform distribution (current)
- 22:00, 14 April 2015 (diff | hist) . . (+9) . . Expected value of uniform distribution
- 21:59, 14 April 2015 (diff | hist) . . (+18) . . Exponential distribution (→Properties)
- 21:59, 14 April 2015 (diff | hist) . . (-18) . . Exponential distribution (→Properties)
- 21:58, 14 April 2015 (diff | hist) . . (+19) . . Exponential distribution
- 21:58, 14 April 2015 (diff | hist) . . (+37) . . Exponential distribution
- 21:57, 14 April 2015 (diff | hist) . . (+602) . . Exponential distribution
- 21:53, 14 April 2015 (diff | hist) . . (0) . . Uniform distribution
- 21:53, 14 April 2015 (diff | hist) . . (+88) . . Exponential distribution
- 21:52, 14 April 2015 (diff | hist) . . (+73) . . Uniform distribution
- 21:49, 14 April 2015 (diff | hist) . . (+434) . . N Variance of uniform distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> Let $X$ have the uniform distribu...")
- 21:48, 14 April 2015 (diff | hist) . . (+366) . . N Expected value of uniform distribution (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Proposition:</strong> Let $X$ have the uniform di...")
- 21:47, 14 April 2015 (diff | hist) . . (+96) . . Uniform distribution
- 21:44, 14 April 2015 (diff | hist) . . (+81) . . Probability density function (current)
- 16:40, 14 April 2015 (diff | hist) . . (+310) . . Expected value
- 07:02, 14 April 2015 (diff | hist) . . (+529) . . N Nabla hk (Created page with "Define the $\hat{h}_k$ monomials by $$\left\{ \begin{array}{ll} \hat{h}_0(t,s)=0 \\ \hat{h}_{n+1}(t,s)=\displaystyle\int_s^t \hat{h}_n(\tau,s) \nabla \tau. \end{array} \right....") (current)
- 06:23, 14 April 2015 (diff | hist) . . (+1) . . Nabla exponential
- 21:56, 13 April 2015 (diff | hist) . . (+3,217) . . N Duality of delta and nabla (Created page with "Let $\mathbb{T}$ be a time scale. Define the dual time scale $\mathbb{T}^*=\{s \in \mathbb{R} \colon -s \in \mathbb{T} \}$, which is a time scale. We label the basic time ...") (current)
- 21:38, 13 April 2015 (diff | hist) . . (+21) . . Main Page (→Calculus on time scales)
- 21:38, 13 April 2015 (diff | hist) . . (+24) . . Main Page (→Calculus on time scales)
- 09:29, 12 April 2015 (diff | hist) . . (+2) . . Relationship between delta exponential and nabla exponential
- 09:26, 12 April 2015 (diff | hist) . . (+2) . . Relationship between nabla exponential and delta exponential
- 09:25, 12 April 2015 (diff | hist) . . (+22) . . Main Page (→Calculus on time scales)
- 09:16, 12 April 2015 (diff | hist) . . (+133) . . Nabla exponential (→Properties of $\nabla$-exponential functions)
- 09:15, 12 April 2015 (diff | hist) . . (-3) . . Delta exponential (→Properties of $\Delta$-exponential Functions)
- 09:15, 12 April 2015 (diff | hist) . . (+137) . . Relationship between nabla exponential and delta exponential
- 09:15, 12 April 2015 (diff | hist) . . (+131) . . Relationship between delta exponential and nabla exponential
- 09:14, 12 April 2015 (diff | hist) . . (+388) . . N Relationship between nabla exponential and delta exponential (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> If $p$ is [...")
- 09:13, 12 April 2015 (diff | hist) . . (+98) . . Delta exponential (→Properties of $\Delta$-exponential Functions)
- 09:12, 12 April 2015 (diff | hist) . . (+420) . . N Relationship between delta exponential and nabla exponential (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $p \in ...")
- 09:12, 12 April 2015 (diff | hist) . . (+102) . . Delta exponential (→Properties of $\Delta$-exponential Functions)
- 09:06, 12 April 2015 (diff | hist) . . (+129) . . Nabla derivative (→Properties of the $\nabla$-derivative)
- 09:06, 12 April 2015 (diff | hist) . . (+606) . . N Relationship between delta derivative and nabla derivative (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{...")
- 09:05, 12 April 2015 (diff | hist) . . (+63) . . Relationship between nabla derivative and delta derivative
- 09:05, 12 April 2015 (diff | hist) . . (+515) . . N Relationship between nabla derivative and delta derivative (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarro...")
- 09:05, 12 April 2015 (diff | hist) . . (+129) . . 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.)
- 08:32, 12 April 2015 (diff | hist) . . (+788) . . Diamond alpha derivative (current)
- 08:28, 12 April 2015 (diff | hist) . . (+473) . . Diamond alpha derivative
- 08:23, 12 April 2015 (diff | hist) . . (+61) . . Diamond alpha derivative
- 18:37, 6 April 2015 (diff | hist) . . (+1,084) . . N Chain rule (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Assume that $g \colon \mathbb{R} \rightarrow \mathbb{R}$ is continuous, $g \...") (current)
- 18:32, 6 April 2015 (diff | hist) . . (+16) . . Main Page (→Calculus on time scales)
- 06:37, 6 April 2015 (diff | hist) . . (+850) . . N Induction on time scales (Created page with "Let $\mathbb{T}$ be a time scale. <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $t_0 \in \mathbb{T}$ and assume t...")
- 06:32, 6 April 2015 (diff | hist) . . (+30) . . Main Page (→Calculus on time scales)
- 19:33, 5 April 2015 (diff | hist) . . (-295) . . Main Page
- 19:28, 5 April 2015 (diff | hist) . . (+297) . . Abel dynamic equation (current)
- 05:57, 5 April 2015 (diff | hist) . . (+68) . . Time scale
- 05:55, 5 April 2015 (diff | hist) . . (-87) . . Time scale
- 05:55, 5 April 2015 (diff | hist) . . (-158) . . Time scale
- 21:26, 29 March 2015 (diff | hist) . . (+124) . . Delta heat equation
- 21:26, 29 March 2015 (diff | hist) . . (+124) . . Delta wave equation
- 10:00, 29 March 2015 (diff | hist) . . (+27) . . Delta heat equation
- 10:00, 29 March 2015 (diff | hist) . . (+259) . . N Delta wave equation (Created page with "Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales and $c \in \mathbb{R}$. Define the wave equation by $$u^{\Delta_1^2}=c^2 u^{\Delta_2^2},$$ where $\Delta_1...")
- 09:59, 29 March 2015 (diff | hist) . . (+50) . . Main Page (→$\Delta$-calculus)
- 09:59, 29 March 2015 (diff | hist) . . (+25) . . Main Page (→$\Delta$-calculus)
- 09:59, 29 March 2015 (diff | hist) . . (-6) . . Main Page (→$\Delta$-calculus)
- 09:58, 29 March 2015 (diff | hist) . . (+33) . . N Heat equation (Tom moved page Heat equation to Delta heat equation) (current)
- 09:58, 29 March 2015 (diff | hist) . . (0) . . m Delta heat equation (Tom moved page Heat equation to Delta heat equation)
- 09:58, 29 March 2015 (diff | hist) . . (+27) . . N Homogeneous heat operator (Tom moved page Homogeneous heat operator to Heat equation) (current)
- 09:58, 29 March 2015 (diff | hist) . . (0) . . m Delta heat equation (Tom moved page Homogeneous heat operator to Heat equation)
- 09:58, 29 March 2015 (diff | hist) . . (+234) . . N Delta heat equation (Created page with "Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales. Define the heat equation by $$u^{\Delta_1}=c^2 u^{\Delta_2^2},$$ where $\Delta_1$ and $\Delta_2$ denote [...")
- 09:55, 29 March 2015 (diff | hist) . . (+31) . . Main Page (→$\Delta$-calculus)
- 09:51, 29 March 2015 (diff | hist) . . (+222) . . N Partial Delta Dynamic Equations (Created page with "=References= [http://ac.els-cdn.com/S0377042705001019/1-s2.0-S0377042705001019-main.pdf?_tid=10aec9d0-d5f9-11e4-95d2-00000aab0f01&acdnat=1427622823_40bf4701ab7ec8aa1698a42c857...") (current)
- 09:51, 29 March 2015 (diff | hist) . . (+74) . . Main Page (→$\Delta$-calculus)
- 08:42, 29 March 2015 (diff | hist) . . (+25) . . Directional Delta Derivative (current)
- 08:41, 29 March 2015 (diff | hist) . . (+79) . . Directional Delta Derivative
- 08:25, 29 March 2015 (diff | hist) . . (+224) . . Directional Delta Derivative
- 07:48, 29 March 2015 (diff | hist) . . (+37) . . Main Page (→$\Delta$-calculus)
- 07:48, 29 March 2015 (diff | hist) . . (+771) . . Partial delta derivative
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