User contributions
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- 01:22, 22 May 2015 (diff | hist) . . (+42) . . Integers
- 01:21, 22 May 2015 (diff | hist) . . (+17) . . Real numbers
- 01:21, 22 May 2015 (diff | hist) . . (+1,101) . . N Time scales footer (Created page with "<table> <tr> <td colspan=9><center><h2>Time scales</h2></center></td> </tr><tr> <td><center>$\Huge\mathbb{R}$<br /> Real numbers</c...")
- 01:21, 22 May 2015 (diff | hist) . . (+25) . . Real numbers
- 01:07, 22 May 2015 (diff | hist) . . (+2,487) . . Multiples of integers
- 01:00, 22 May 2015 (diff | hist) . . (+2,205) . . Integers
- 00:46, 22 May 2015 (diff | hist) . . (0) . . m Derivation of delta sin sub p for T=Z (Tom moved page Derivation of delta sin sub p on T=Z to Derivation of delta sin sub p for T=Z) (current)
- 00:46, 22 May 2015 (diff | hist) . . (+51) . . N Derivation of delta sin sub p on T=Z (Tom moved page Derivation of delta sin sub p on T=Z to Derivation of delta sin sub p for T=Z) (current)
- 00:46, 22 May 2015 (diff | hist) . . (+50) . . N Derivation of sin sub p on T=Z (Tom moved page Derivation of sin sub p on T=Z to Derivation of delta sin sub p on T=Z) (current)
- 00:46, 22 May 2015 (diff | hist) . . (0) . . m Derivation of delta sin sub p for T=Z (Tom moved page Derivation of sin sub p on T=Z to Derivation of delta sin sub p on T=Z)
- 00:42, 22 May 2015 (diff | hist) . . (-3) . . Format notes (→General format for time scale pages)
- 00:42, 22 May 2015 (diff | hist) . . (+44) . . Format notes (→General format for time scale pages)
- 00:33, 22 May 2015 (diff | hist) . . (-4) . . Format notes (→General format for time scale pages)
- 00:32, 22 May 2015 (diff | hist) . . (+2) . . Format notes (→General format for time scale pages)
- 00:25, 22 May 2015 (diff | hist) . . (-29) . . Main Page (→Special functions on time scales)
- 00:25, 22 May 2015 (diff | hist) . . (-4) . . Main Page (→Special functions on time scales)
- 00:24, 22 May 2015 (diff | hist) . . (-22) . . Main Page
- 00:23, 22 May 2015 (diff | hist) . . (-1) . . Mozyrska-Torres logarithm (→References)
- 00:23, 22 May 2015 (diff | hist) . . (+167) . . Mozyrska-Torres logarithm
- 00:23, 22 May 2015 (diff | hist) . . (-1) . . Jackson logarithm (→References)
- 00:22, 22 May 2015 (diff | hist) . . (+172) . . Jackson logarithm
- 00:22, 22 May 2015 (diff | hist) . . (+162) . . Euler-Cauchy logarithm
- 00:22, 22 May 2015 (diff | hist) . . (+162) . . Bohner logarithm
- 00:21, 22 May 2015 (diff | hist) . . (+450) . . N Mozyrska-Torres logarithm (Created page with "Let $\mathbb{T}$ be a time scale. For $t \in \mathbb{T} \cap (0,\infty)$, define $$L_{\mathbb{T}}(t) = \displaystyle\int_1^t \dfrac{1}{\tau} \Delta \tau.$$ =Properties= *$L^{...")
- 00:20, 22 May 2015 (diff | hist) . . (+499) . . Jackson logarithm
- 00:20, 22 May 2015 (diff | hist) . . (+541) . . N Jackson logarithm (Created page with "This definition attempts to define the logarithm as the inverse of an exponential function. Let $\mathbb{T}$ be a time scale. Let $p \in \mathcal{R...")
- 00:20, 22 May 2015 (diff | hist) . . (+580) . . N Bohner logarithm (Created page with "Define the logarithm to be $$L_p(t,t_0) = \displaystyle\int_{t_0}^t \dfrac{p^{\Delta}(\tau)}{p(\tau)} \Delta \tau$$ Note while $$\dfrac{(pq)^{\Delta}}{pq} = \dfrac{p^{\Delta}...")
- 00:18, 22 May 2015 (diff | hist) . . (+31) . . Format notes
- 00:17, 22 May 2015 (diff | hist) . . (+65) . . Real numbers
- 00:15, 22 May 2015 (diff | hist) . . (+557) . . N Euler-Cauchy logarithm (Created page with "Let $\mathbb{T}$ be a time scale. Define the Euler-Cauchy logarithm to be part of a solution of the Cauchy-Euler equation $$t\sigma(t)y^{\Delta \Delta}(t) - 3ty^{\Del...")
- 00:12, 22 May 2015 (diff | hist) . . (+273) . . Real numbers
- 00:09, 22 May 2015 (diff | hist) . . (+2,427) . . Format notes (→General format for time scale pages)
- 23:55, 21 May 2015 (diff | hist) . . (+1) . . Real numbers
- 23:54, 21 May 2015 (diff | hist) . . (+447) . . Real numbers
- 23:52, 21 May 2015 (diff | hist) . . (+108) . . Main Page (→Special functions on time scales)
- 23:46, 21 May 2015 (diff | hist) . . (+1,585) . . Real numbers
- 00:01, 18 May 2015 (diff | hist) . . (+1,428) . . Format notes
- 17:23, 16 May 2015 (diff | hist) . . (0) . . Integers
- 17:16, 16 May 2015 (diff | hist) . . (+32) . . Main Page (→Calculus on time scales)
- 17:16, 16 May 2015 (diff | hist) . . (0) . . m Delta Taylor's formula (Tom moved page Taylor's formula to Delta Taylor's formula)
- 17:16, 16 May 2015 (diff | hist) . . (+36) . . N Taylor's formula (Tom moved page Taylor's formula to Delta Taylor's formula) (current)
- 02:08, 5 May 2015 (diff | hist) . . (-266) . . Nabla integral (current)
- 22:53, 4 May 2015 (diff | hist) . . (+95) . . Quantum q greater than 1
- 22:52, 4 May 2015 (diff | hist) . . (-14) . . Table:Delta hk
- 04:16, 4 May 2015 (diff | hist) . . (+1) . . N Nabla gk (Created page with "a") (current)
- 21:13, 29 April 2015 (diff | hist) . . (+65) . . Integers
- 20:52, 29 April 2015 (diff | hist) . . (+5) . . Integers
- 20:51, 29 April 2015 (diff | hist) . . (-4) . . Integers
- 20:49, 29 April 2015 (diff | hist) . . (+187) . . Integers
- 20:44, 29 April 2015 (diff | hist) . . (+1) . . Derivation of delta sin sub p for T=Z
- 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)
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