User contributions
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- 20:07, 11 June 2014 (diff | hist) . . (+15) . . Unilateral Laplace transform (→Inverse Transform on isolated time scales)
- 20:00, 11 June 2014 (diff | hist) . . (+676) . . Unilateral Laplace transform (→Inverse Transform on isolated time scales)
- 21:47, 10 June 2014 (diff | hist) . . (+479) . . Unilateral 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) . . Unilateral 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) . . Unilateral Laplace transform
- 13:56, 9 June 2014 (diff | hist) . . (+839) . . Unilateral Laplace transform
- 13:46, 9 June 2014 (diff | hist) . . (+74) . . Unilateral Laplace transform (→Properties of Laplace Transforms)
- 13:45, 9 June 2014 (diff | hist) . . (+710) . . Unilateral Laplace transform (→Properties of Laplace Transforms)
- 02:07, 4 June 2014 (diff | hist) . . (+13) . . Delta derivative
- 18:55, 26 May 2014 (diff | hist) . . (+108) . . Unilateral Laplace transform
- 18:44, 26 May 2014 (diff | hist) . . (+619) . . Unilateral 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
- 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 (→Related definitions)
- 22:08, 25 May 2014 (diff | hist) . . (+238) . . Forward regressive (→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 Unilateral 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) . . (0) . . m Delta integral (Tom moved page Delta integration to Delta integral)
- 18:48, 20 May 2014 (diff | hist) . . (+28) . . N Delta integration (Tom moved page Delta integration to Delta integral) (current)
- 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
- 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
- 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
- 03:48, 18 May 2014 (diff | hist) . . (+757) . . N Forward regressive (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")
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