# User contributions

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- 14:41, 4 December 2018 (diff | hist) . . (-1) . . Timescalecalculus python library documentation (current)
- 12:57, 28 October 2018 (diff | hist) . . (+270) . . Timescalecalculus python library documentation
- 01:22, 30 September 2018 (diff | hist) . . (+20) . . Uniform distribution (current)
- 00:41, 14 March 2018 (diff | hist) . . (0) . . Frequency roots (current)
- 14:48, 13 March 2018 (diff | hist) . . (+10) . . Integration by parts for delta integrals with no sigma in integrand (current)
- 14:47, 13 March 2018 (diff | hist) . . (+10) . . Integration by parts for delta integrals with sigma in integrand (current)
- 14:47, 13 March 2018 (diff | hist) . . (+92) . . Integration by parts for delta integrals with sigma in integrand
- 14:47, 13 March 2018 (diff | hist) . . (+89) . . Integration by parts for delta integrals with no sigma in integrand
- 04:02, 26 February 2018 (diff | hist) . . (+49) . . Paper:John M. Davis/Time Scale Discrete Fourier Transforms (current)
- 04:00, 26 February 2018 (diff | hist) . . (+16) . . Time scale discrete Fourier transform (current)
- 03:53, 26 February 2018
(diff | hist) . .
**(+506)** . . N Time scale discrete Fourier transform (Created page with "Let $\mathbb{T}=\{t_0,t_1,\ldots,t_n\}$ be a finite time scale and let $z_n$ be a frequency root of $\mathbb{T}$. The time scale discrete Fourier transform at $z_k$ is def...") - 03:45, 26 February 2018 (diff | hist) . . (-190) . . Frequency roots
- 03:45, 26 February 2018 (diff | hist) . . (+250) . . Frequency roots
- 03:34, 26 February 2018 (diff | hist) . . (+281) . . N Frequency roots (Created page with "Let $\mathbb{T}=\{t_0,t_1,\ldots,t_n\}$ be a finite time scale. The roots of the following polynomial are called the frequency roots of $\mathbb{T}$: $$\mu(t_0) + \display...")
- 03:30, 26 February 2018 (diff | hist) . . (+26) . . Main Page (current)
- 03:30, 26 February 2018 (diff | hist) . . (-1) . . Paper:John M. Davis/Time Scale Discrete Fourier Transforms
- 03:30, 26 February 2018 (diff | hist) . . (+182) . . N Paper:John M. Davis/Time Scale Discrete Fourier Transforms (Created page with "{{Book|Time Scale Discrete Fourier Transforms|2010|||John M. Davis|author2 = Ian A. Gravagne| author3 = Robert J. Marks II}} ===Online copies=== ===Contents==== Category:...")
- 18:51, 9 January 2018 (diff | hist) . . (+219) . . Main Page
- 17:08, 27 December 2017 (diff | hist) . . (+16) . . Timescalecalculus python library documentation
- 16:42, 27 December 2017 (diff | hist) . . (+259) . . Timescalecalculus python library documentation
- 02:57, 20 December 2017
(diff | hist) . .
**(+4,615)** . . N Book:Svetlin G. Georgiev/Integral Equations on Time Scales (Created page with "{{Book|Integral Equations on Time Scales||||Svetlin G. Georgiev}} ===Contents=== :1 Elements of the Time Scale Calculus ::1.1 Forward and Backward Jump Operators, Graininess...") (current) - 02:43, 20 December 2017 (diff | hist) . . (+19) . . Book:V. Lakshmikantham/Dynamic Systems on Measure Chains (current)
- 02:43, 20 December 2017
(diff | hist) . .
**(+1,314)** . . N Book:V. Lakshmikantham/Dynamic Systems on Measure Chains (Created page with "{{Book|Dynamic Systems on Measure Chains||||V. Lakshmikantham|author2=S. Sivasundaram|author3=B. Kaymakcalan}} ===Contents=== :Preface :Chapter 1 ::1.0 Introduction ::1.1 Mea...") - 02:38, 20 December 2017 (diff | hist) . . (-1) . . MediaWiki:Sidebar (current)
- 02:37, 20 December 2017 (diff | hist) . . (-1) . . Book:Martin Bohner/Dynamic Equations on Time Scales (current)
- 02:37, 20 December 2017
(diff | hist) . .
**(+1,267)** . . N Book:Ravi Agarwal/Dynamic Inequalities on Time Scales (Created page with "{{Book|Dynamic Inequalities on Time Scales||||Ravi Agarwal|author2=Donal O'Regan|author3=Samir Saker}} ===Contents=== :1 Preliminaries ::1.1 Delta Calculus ::1.2 Nabla Calcul...") (current) - 19:07, 11 December 2017 (diff | hist) . . (+127) . . Mozyrska-Torres logarithm tends to infinity (current)
- 19:07, 11 December 2017 (diff | hist) . . (0) . . m Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations (Tom moved page Paper:Ravi Agarwal/Oscillation of second order delay dynamic equations to Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations) (current)
- 19:07, 11 December 2017 (diff | hist) . . (+87) . . N Paper:Ravi Agarwal/Oscillation of second order delay dynamic equations (Tom moved page Paper:Ravi Agarwal/Oscillation of second order delay dynamic equations to Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations) (current)
- 19:05, 11 December 2017 (diff | hist) . . (+1) . . Mozyrska-Torres logarithm tends to infinity
- 19:05, 11 December 2017 (diff | hist) . . (+3) . . Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations
- 19:05, 11 December 2017 (diff | hist) . . (+310) . . Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations
- 19:02, 11 December 2017 (diff | hist) . . (+377) . . N Paper:Ravi P. Agarwal/Oscillation of second order delay dynamic equations (Created page with "{{Book|Oscillation of second order delay dynamic equations|2005|Canadian Applied Mathematics Quarterly||Ravi P. Agarwal|author2=Martin Bohner|author3=Samir H. Saker}} ===Onli...")
- 18:57, 11 December 2017 (diff | hist) . . (+289) . . N Mozyrska-Torres logarithm tends to infinity (Created page with "==Theorem== Let $\mathb{T}$ be a time scale. The following formula holds: $$\displaystyle\lim_{t \rightarrow \infty} L_{\mathbb{T}}(t) = \infty,$$ where $L_{\mathbb{T}}$...")
- 18:56, 11 December 2017 (diff | hist) . . (+54) . . Mozyrska-Torres logarithm (→Properties) (current)
- 15:33, 21 October 2017 (diff | hist) . . (+10) . . Mozyrska-Torres logarithm
- 15:32, 21 October 2017 (diff | hist) . . (+97) . . Mozyrska-Torres logarithm
- 15:32, 21 October 2017 (diff | hist) . . (+415) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales (current)
- 15:31, 21 October 2017 (diff | hist) . . (-1) . . Mozyrska-Torres logarithm composed with forward jump (current)
- 15:30, 21 October 2017 (diff | hist) . . (+177) . . Euler-Cauchy logarithm (current)
- 15:29, 21 October 2017 (diff | hist) . . (-12) . . Mozyrska-Torres logarithm
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Delta derivative of Mozyrska-Torres logarithm (current)
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm at 1 (current)
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm on the reals (current)
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm is increasing (current)
- 15:27, 21 October 2017 (diff | hist) . . (0) . . Mozyraska-Torres logarithm is negative on (0,1) (current)
- 15:27, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm is positive on (1,infinity) (current)
- 15:27, 21 October 2017 (diff | hist) . . (+499) . . N Mozyrska-Torres logarithm composed with forward jump (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. Then, $$L_{\mathbb{T}}(\sigma(t)) = L_{\mathbb{T}}(t) + \dfrac{\mu(t)}{t},$$ where $L_{\mathbb{T}}$ denotes the Mozyrska-To...")
- 15:25, 21 October 2017 (diff | hist) . . (+202) . . Mozyrska-Torres logarithm at 1
- 15:24, 21 October 2017 (diff | hist) . . (-26) . . Mozyrska-Torres logarithm at 1
- 15:22, 21 October 2017 (diff | hist) . . (+61) . . Mozyrska-Torres logarithm is positive on (1,infinity)
- 15:22, 21 October 2017 (diff | hist) . . (+1) . . Mozyraska-Torres logarithm is negative on (0,1)
- 15:22, 21 October 2017 (diff | hist) . . (+65) . . Mozyraska-Torres logarithm is negative on (0,1)
- 15:22, 21 October 2017 (diff | hist) . . (-1) . . Mozyraska-Torres logarithm is negative on (0,1)
- 15:21, 21 October 2017 (diff | hist) . . (0) . . m Mozyrska-Torres logarithm is positive on (1,infinity) (Tom moved page Mozyraska-Torres logarithm is positive on (1,infinity) to Mozyrska-Torres logarithm is positive on (1,infinity))
- 15:21, 21 October 2017 (diff | hist) . . (+67) . . N Mozyraska-Torres logarithm is positive on (1,infinity) (Tom moved page Mozyraska-Torres logarithm is positive on (1,infinity) to Mozyrska-Torres logarithm is positive on (1,infinity)) (current)
- 15:21, 21 October 2017 (diff | hist) . . (+360) . . N Mozyrska-Torres logarithm is positive on (1,infinity) (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. If $t \in (1,\infty) \cap \mathbb{T}$, then $L_{\mathbb{T}}(t) > 0$. ==Proof== ==References== {{PaperReference|The Natural Log...")
- 15:20, 21 October 2017 (diff | hist) . . (+353) . . N Mozyraska-Torres logarithm is negative on (0,1) (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. If $t \in (0,1) \cap \mathbb{T}$, then $L_{\mathbb{T}}(t) < 0$. ==Proof== ==References== {{PaperReference|The Natural Loga...")
- 15:18, 21 October 2017 (diff | hist) . . (+394) . . N Mozyrska-Torres logarithm is increasing (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. For all $t \in \mathbb{T}^{\kappa} \cap (0,\infty)$, $t \mapsto L_{\mathbb{T}}(t)$ is an increasing function. ==Proof==...")
- 15:16, 21 October 2017 (diff | hist) . . (+490) . . N Mozyrska-Torres logarithm on the reals (Created page with "==Theorem== The following formula holds: $$L_{\mathbb{R}}(t) = \ln(t),$$ where $L_{\mathbb{R}}$ denotes the Mozyrska-Torres logarithm on the Real numbers|time scale of r...")
- 15:13, 21 October 2017 (diff | hist) . . (+38) . . Mozyrska-Torres logarithm
- 15:11, 21 October 2017 (diff | hist) . . (+174) . . Delta derivative of Mozyrska-Torres logarithm
- 15:11, 21 October 2017 (diff | hist) . . (+31) . . Mozyrska-Torres logarithm
- 14:57, 21 October 2017 (diff | hist) . . (+24) . . Paper:Dorota Mozyrska/Functional series on time scales (current)
- 14:56, 21 October 2017 (diff | hist) . . (+45) . . Paper:Dorota Mozyrska/Functional series on time scales
- 14:56, 21 October 2017 (diff | hist) . . (+291) . . Paper:Dorota Mozyrska/Functional series on time scales
- 14:54, 21 October 2017 (diff | hist) . . (+16) . . Delta derivative (current)
- 14:53, 21 October 2017 (diff | hist) . . (+131) . . Pre-differentiable (current)
- 14:53, 21 October 2017 (diff | hist) . . (+139) . . Rd-continuous (current)
- 14:50, 21 October 2017 (diff | hist) . . (+141) . . Regulated (current)
- 14:49, 21 October 2017 (diff | hist) . . (+131) . . Delta derivative
- 14:48, 21 October 2017 (diff | hist) . . (+140) . . Left dense (current)
- 14:48, 21 October 2017 (diff | hist) . . (+150) . . Right dense (current)
- 14:47, 21 October 2017 (diff | hist) . . (+152) . . Left scattered (current)
- 14:47, 21 October 2017 (diff | hist) . . (+158) . . Right scattered (current)
- 14:46, 21 October 2017 (diff | hist) . . (+154) . . Forward graininess (current)
- 14:46, 21 October 2017 (diff | hist) . . (-1) . . Backward jump (current)
- 14:46, 21 October 2017 (diff | hist) . . (+157) . . Backward jump
- 14:45, 21 October 2017 (diff | hist) . . (+135) . . Forward jump (current)
- 14:44, 21 October 2017 (diff | hist) . . (+295) . . Time scale (current)
- 14:40, 21 October 2017 (diff | hist) . . (+290) . . N Paper:Dorota Mozyrska/Functional series on time scales (Created page with "{{Book|Functional series on time scales|2008|International Journal of Mathematics and Statistics||Dorota Mozyrska|author2=Ewa Pawluszewicz}} ===Online copies=== [http://www.s...")
- 00:53, 26 September 2017 (diff | hist) . . (-304) . . Main Page
- 12:59, 19 August 2017 (diff | hist) . . (+56) . . Inequality for Hilger real part (current)
- 12:58, 17 August 2017 (diff | hist) . . (+56) . . Inequality for Hilger real part
- 12:57, 17 August 2017 (diff | hist) . . (+186) . . N Inequality for Hilger real part (Created page with "==Theorem== The following inequality holds for $z \in \mathbb{C}_h$: $$-\dfrac{1}{h} < \mathrm{Re}_h(z) < \infty.$$ ==Proof== ==References== Category:Theorem Category...")
- 12:57, 17 August 2017 (diff | hist) . . (-242) . . Hilger real part (current)
- 12:57, 17 August 2017 (diff | hist) . . (-153) . . Limit of Hilger real and imag parts yields classical (current)
- 16:16, 10 July 2017 (diff | hist) . . (+286) . . N Paper:Martin Bohner/A survey of exponential functions on time scales (Created page with "{{Book|A survey of exponential functions on time scales|2001|Revista Cubo Matematica Educacional||Martin Bohner|author2=Allan Peterson}} ===Online copies=== [http://www.math....") (current)
- 17:36, 7 July 2017 (diff | hist) . . (-30) . . Paper:Lynn Erbe/Square Integrability of Gaussian Bells on Time Scales (→Online copies) (current)
- 17:36, 7 July 2017 (diff | hist) . . (+14) . . Paper:Lynn Erbe/Square Integrability of Gaussian Bells on Time Scales
- 17:35, 7 July 2017 (diff | hist) . . (+37) . . Paper:John M. Davis/Bilateral Laplace Transforms on Time Scales: Convergence, Convolution, and the Characterization of Stationary Stochastic Time Series (current)
- 17:34, 7 July 2017 (diff | hist) . . (-18) . . Bilateral Laplace transform (current)
- 17:34, 7 July 2017 (diff | hist) . . (+180) . . Bilateral Laplace transform
- 17:32, 7 July 2017 (diff | hist) . . (+440) . . N Paper:John M. Davis/Bilateral Laplace Transforms on Time Scales: Convergence, Convolution, and the Characterization of Stationary Stochastic Time Series (Created page with "{{Book|Bilateral Laplace Transforms on Time Scales: Convergence, Convolution, and the Characterization of Stationary Stochastic Time Series|2009|Circuits, Systems and Signal P...")
- 17:22, 7 July 2017 (diff | hist) . . (+52) . . Paper:Lynn Erbe/Square Integrability of Gaussian Bells on Time Scales
- 17:20, 7 July 2017 (diff | hist) . . (-33) . . Gaussian bell (current)
- 17:19, 7 July 2017 (diff | hist) . . (+42) . . Gaussian bell
- 17:18, 7 July 2017 (diff | hist) . . (-37) . . Gaussian bell
- 17:17, 7 July 2017 (diff | hist) . . (+308) . . N Paper:Lynn Erbe/Square Integrability of Gaussian Bells on Time Scales (Created page with "{{Book|Square Integrability of Gaussian Bells on Time Scales|2005|Computers & Mathematics with Applications||Lynn Erbe|author2=Allan Peterson|author3=Moritz Simon}} ===Online...")
- 17:14, 7 July 2017 (diff | hist) . . (-73) . . Delta exponential (current)
- 00:57, 30 May 2017 (diff | hist) . . (+15) . . Inverse cylinder transformation (→References) (current)
- 00:56, 30 May 2017
(diff | hist) . .
**(+537)** . . N Inverse cylinder transformation (Created page with "Let $\mathbb{T}$ be a time scale. We define the inverse cylinder transformation $\xi_h \colon \mathbb{Z}_h \rightarrow \mathbb{C}_h$, where $\mathbb{Z}_h$ denotes the cy...") - 00:52, 30 May 2017 (diff | hist) . . (+179) . . Cylinder transformation (current)
- 00:50, 30 May 2017 (diff | hist) . . (+461) . . N Cylinder strip (Created page with "The cylinder strip $\mathbb{Z}_h$ is defined for $h>1$ by $$\mathbb{Z}_h = \left\{ z \in \mathbb{C} \colon -\dfrac{\pi}{h} < \mathrm{Im}(z) \leq \dfrac{\pi}{h} \right\},$$ and...") (current)
- 00:49, 30 May 2017 (diff | hist) . . (+8) . . Hilger circle (→References) (current)
- 00:42, 30 May 2017 (diff | hist) . . (+240) . . Hilger circle
- 00:41, 30 May 2017 (diff | hist) . . (-25) . . Hilger real axis (current)
- 00:40, 30 May 2017 (diff | hist) . . (+49) . . Hilger complex plane (current)
- 00:40, 30 May 2017 (diff | hist) . . (-16) . . Hilger alternating axis (current)
- 00:38, 30 May 2017 (diff | hist) . . (+240) . . Hilger alternating axis
- 00:37, 30 May 2017 (diff | hist) . . (+254) . . Hilger real axis
- 00:36, 30 May 2017 (diff | hist) . . (+244) . . Hilger complex plane
- 00:34, 30 May 2017 (diff | hist) . . (+14) . . Causal time scale (current)
- 00:34, 30 May 2017 (diff | hist) . . (+331) . . N Causal time scale (Created page with "Let $\mathbb{T}$ be a time scale. We say that $\mathbb{T}$ is causal provided it contains no elements less than $0$. =Properties= =References= *{{PaperReference|A genera...")
- 00:32, 30 May 2017 (diff | hist) . . (-1) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales (current)
- 00:29, 30 May 2017 (diff | hist) . . (+323) . . N Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales (Created page with "{{Book|A generalized Fourier transform and convolution on time scales|2008|Journal of Mathematical Analysis and Applications||Robert J. Marks II|author2=Ian A. Gravagne|author...")
- 23:37, 29 May 2017 (diff | hist) . . (+270) . . N Paper:Gusein Sh. Guseinov/Integration on time scales (Created page with "{{Book|Integration on time scales|2003|Journal of Mathematical Analysis and Applications||Gusein Sh. Guseinov|}} ===Online copies=== [http://www.sciencedirect.com/science/art...") (current)
- 13:02, 10 March 2017
(diff | hist) . .
**(-980)** . . Laplace transform (→References) (current) - 13:01, 10 March 2017 (diff | hist) . . (+10) . . Laplace transform
- 23:44, 14 February 2017 (diff | hist) . . (+272) . . N Delta Clairaut dynamic equation (Created page with "Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{R} \rightarrow \mathbb{R}$ be continuously differentiable. The delta Clairaut dynamic equation is $$y(t)=ty^...") (current)
- 17:47, 11 February 2017 (diff | hist) . . (+144) . . Jackson logarithm of a product (current)
- 17:46, 11 February 2017 (diff | hist) . . (-8) . . Delta exponential of Jackson logarithm (current)
- 17:46, 11 February 2017 (diff | hist) . . (+176) . . Delta exponential of Jackson logarithm
- 17:45, 11 February 2017 (diff | hist) . . (+32) . . Jackson logarithm of delta exponential (→References) (current)
- 17:43, 11 February 2017 (diff | hist) . . (+2) . . Jackson logarithm (current)
- 17:43, 11 February 2017 (diff | hist) . . (+20) . . Jackson logarithm (→References)
- 17:43, 11 February 2017 (diff | hist) . . (+11) . . Jackson logarithm of delta exponential
- 17:42, 11 February 2017 (diff | hist) . . (+97) . . Jackson logarithm of delta exponential
- 17:39, 11 February 2017 (diff | hist) . . (+341) . . N Jackson logarithm of a product (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. The following formula holds: $$\log_{\mathbb{T}}(f(t)g(t))=\log_{\mathbb{T}} f(t) \oplus \log_{\mathbb{T}} g(t),$$ where $\lo...")
- 17:37, 11 February 2017 (diff | hist) . . (+41) . . Jackson logarithm (→Properties)
- 17:36, 11 February 2017 (diff | hist) . . (+313) . . N Delta exponential of Jackson logarithm (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. The following formula holds: $$e_{\log_{\mathbb{T}} f}(t,s)=\dfrac{f(t)}{f(s)},$$ where $e_{\cdot}$ denotes the delta expon...")
- 17:34, 11 February 2017
(diff | hist) . .
**(-903)** . . Jackson logarithm - 17:33, 11 February 2017 (diff | hist) . . (+255) . . N Jackson logarithm of delta exponential (Created page with "==Theorem== The following formula holds: $$\log_{\mathbb{T}} e_p(t,s) = p(t),$$ where $\log_{\mathbb{T}}$ denotes the Jackson logarithm and $e_p$ denotes the delta expon...")
- 17:33, 11 February 2017 (diff | hist) . . (-238) . . Jackson logarithm
- 17:30, 11 February 2017 (diff | hist) . . (+16) . . Jackson logarithm
- 17:30, 11 February 2017 (diff | hist) . . (+87) . . Paper:Billy Jackson/The time scale logarithm (current)
- 17:27, 11 February 2017 (diff | hist) . . (-76) . . Paper:Billy Jackson/The time scale logarithm
- 17:26, 11 February 2017 (diff | hist) . . (-152) . . Jackson logarithm
- 17:24, 11 February 2017 (diff | hist) . . (-60) . . Jackson logarithm
- 17:22, 11 February 2017 (diff | hist) . . (+314) . . N Paper:Billy Jackson/The time scale logarithm (Created page with "{{Book|The time scale logarithm|2008|Applied Mathematics Letters||Billy Jackson|}} ===Online copies=== [http://ac.els-cdn.com/S0893965907001309/1-s2.0-S0893965907001309-main....")
- 17:09, 11 February 2017 (diff | hist) . . (+100) . . Mozyrska-Torres logarithm
- 17:03, 11 February 2017 (diff | hist) . . (+64) . . Euler-Cauchy logarithm
- 17:02, 11 February 2017 (diff | hist) . . (+1) . . Bohner logarithm (current)
- 17:02, 11 February 2017 (diff | hist) . . (+1) . . Euler-Cauchy logarithm
- 17:02, 11 February 2017 (diff | hist) . . (+2) . . Delta exponential dynamic equation (current)
- 17:02, 11 February 2017 (diff | hist) . . (-2) . . Delta exponential dynamic equation
- 17:01, 11 February 2017 (diff | hist) . . (+112) . . Paper:Martin Bohner/The logarithm on time scales (current)
- 17:00, 11 February 2017 (diff | hist) . . (+2) . . Bohner logarithm
- 17:00, 11 February 2017 (diff | hist) . . (+4) . . Bohner logarithm
- 17:00, 11 February 2017 (diff | hist) . . (-34) . . Delta exponential dynamic equation
- 16:59, 11 February 2017 (diff | hist) . . (+136) . . Delta exponential dynamic equation
- 16:59, 11 February 2017 (diff | hist) . . (+2) . . Euler-Cauchy logarithm
- 16:59, 11 February 2017 (diff | hist) . . (+38) . . Euler-Cauchy logarithm
- 16:58, 11 February 2017 (diff | hist) . . (-349) . . Euler-Cauchy logarithm
- 16:53, 11 February 2017 (diff | hist) . . (-50) . . Delta exponential dynamic equation (→See also)
- 16:53, 11 February 2017 (diff | hist) . . (+162) . . Delta exponential dynamic equation
- 23:27, 10 February 2017 (diff | hist) . . (+7) . . Bohner logarithm
- 23:05, 10 February 2017 (diff | hist) . . (+127) . . Euler-Cauchy dynamic equation (current)
- 23:03, 10 February 2017 (diff | hist) . . (+109) . . Bohner logarithm
- 23:00, 10 February 2017 (diff | hist) . . (+1) . . Euler-Cauchy dynamic equation
- 23:00, 10 February 2017 (diff | hist) . . (+307) . . N Euler-Cauchy dynamic equation (Created page with "Let $\mathbb{T} be a time scale and let $a, b \in \mathbb{R}$. The following dynamic equation is called the Euler-Cauchy dynamic equation: $$t \sigma(t) y^{\Delta \Del...")
- 22:59, 10 February 2017 (diff | hist) . . (0) . . m Euler-Cauchy logarithm (Tom moved page Cauchy-Euler logarithm to Euler-Cauchy logarithm over redirect)
- 22:59, 10 February 2017 (diff | hist) . . (+36) . . N Cauchy-Euler logarithm (Tom moved page Cauchy-Euler logarithm to Euler-Cauchy logarithm over redirect) (current)
- 22:53, 10 February 2017 (diff | hist) . . (+389) . . N Bohner logarithm sub a product (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $p, q \colon \mathbb{T} \rightarrow \mathbb{C}$. The following formula holds: $$L_{pq}(t,s)=L_p(t,s)+L_q(t,s)+\display...") (current)
- 22:49, 10 February 2017 (diff | hist) . . (-327) . . Bohner logarithm
- 22:45, 10 February 2017 (diff | hist) . . (-95) . . Paper:Martin Bohner/The logarithm on time scales
- 22:45, 10 February 2017 (diff | hist) . . (-1) . . MediaWiki:Sidebar
- 22:44, 10 February 2017 (diff | hist) . . (-1) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey (current)
- 22:44, 10 February 2017 (diff | hist) . . (-1) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 22:44, 10 February 2017 (diff | hist) . . (+229) . . N Paper:Martin Bohner/The logarithm on time scales (Created page with "===Online copies=== [http://web.mst.edu/~bohner/papers/tlots.pdf hosted by Martin Bohner]<br /> ===References=== {{PaperReference|The logarithm on time scales|2005|Martin Boh...")
- 22:39, 10 February 2017 (diff | hist) . . (+2) . . Forward regressive function (current)
- 22:38, 10 February 2017 (diff | hist) . . (+18) . . Forward regressive function
- 22:38, 10 February 2017 (diff | hist) . . (+104) . . Forward regressive function
- 16:42, 9 February 2017 (diff | hist) . . (-181) . . Delta exponential dynamic equation
- 16:42, 9 February 2017 (diff | hist) . . (+50) . . Delta exponential dynamic equation
- 16:41, 9 February 2017 (diff | hist) . . (-16) . . Delta exponential dynamic equation
- 16:39, 9 February 2017 (diff | hist) . . (+25) . . Forward regressive function
- 16:38, 9 February 2017 (diff | hist) . . (+26) . . Forward regressive function
- 16:38, 9 February 2017
(diff | hist) . .
**(-1,845)** . . Forward regressive function (Replaced content with "Let $\mathbb{T}$ be a time scale. Let $p \colon \mathbb{T} \rightarrow \mathbb{C}$. We say that $p$ is forward regressive if for all $t \in \mathbb{T}^{\k...") - 16:37, 9 February 2017 (diff | hist) . . (+36) . . Delta exponential dynamic equation
- 16:32, 9 February 2017 (diff | hist) . . (-40) . . Dynamic equation (→See Also) (current)
- 16:31, 9 February 2017 (diff | hist) . . (+40) . . Dynamic equation
- 16:29, 9 February 2017 (diff | hist) . . (+2) . . Delta exponential dynamic equation
- 16:26, 9 February 2017 (diff | hist) . . (+35) . . Dynamic equation
- 16:26, 9 February 2017
(diff | hist) . .
**(-1,269)** . . Dynamic equation - 16:22, 9 February 2017 (diff | hist) . . (+46) . . Dynamic equation (→See Also)
- 16:18, 9 February 2017 (diff | hist) . . (+42) . . Delta exponential dynamic equation
- 23:22, 8 February 2017 (diff | hist) . . (+2) . . Delta exponential
- 23:21, 8 February 2017 (diff | hist) . . (-2) . . Semigroup property of delta exponential (current)
- 23:21, 8 February 2017 (diff | hist) . . (0) . . m Delta exponential dynamic equation (Tom moved page Forward exponential dynamic equation to Delta exponential dynamic equation)
- 23:20, 8 February 2017 (diff | hist) . . (+8) . . Semigroup property of delta exponential
- 23:20, 8 February 2017 (diff | hist) . . (0) . . m Delta exponential dynamic equation (Tom moved page Exponential dynamic equation to Forward exponential dynamic equation)
- 23:20, 8 February 2017 (diff | hist) . . (-62) . . Delta exponential dynamic equation
- 23:19, 8 February 2017 (diff | hist) . . (+2) . . Semigroup property of delta exponential
- 23:18, 8 February 2017 (diff | hist) . . (+57) . . Delta exponential dynamic equation
- 23:18, 8 February 2017 (diff | hist) . . (+446) . . N Delta exponential dynamic equation (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $p \in \mathcal{R}(\mathbb{T},\mathbb{C})$. The following dynamic equation holds: $$y^{\Delta}(t)=p(t)y(t), \quad...")
- 23:15, 8 February 2017 (diff | hist) . . (+164) . . Semigroup property of delta exponential
- 23:13, 8 February 2017 (diff | hist) . . (+183) . . Delta exponential
- 23:13, 8 February 2017 (diff | hist) . . (+29) . . Semigroup property of delta exponential
- 23:12, 8 February 2017 (diff | hist) . . (+8) . . Semigroup property of delta exponential
- 03:33, 7 January 2017 (diff | hist) . . (+1) . . Main Page
- 00:07, 5 January 2017 (diff | hist) . . (+35) . . Delta derivative
- 00:07, 5 January 2017 (diff | hist) . . (+45) . . Delta mean value theorem (current)
- 23:59, 4 January 2017 (diff | hist) . . (+72) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 23:55, 4 January 2017 (diff | hist) . . (+154) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 23:53, 4 January 2017
(diff | hist) . .
**(+534)** . . N Delta mean value theorem (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $f,g \colon \mathbb{T} \rightarrow \mathbb{R}$ be pre-differentiable with $D$. Then $|f^{\Delta}(t)| \leq g^{\Delt...") - 23:51, 4 January 2017 (diff | hist) . . (+18) . . Regulated on compact interval is bounded (current)
- 23:42, 4 January 2017 (diff | hist) . . (+256) . . N Regulated on compact interval is bounded (Created page with "==Theorem== Every regulated function on a compact interval is bounded. ==Proof== ==References== * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bo...")
- 23:41, 4 January 2017 (diff | hist) . . (+34) . . Pre-differentiable
- 23:41, 4 January 2017 (diff | hist) . . (+152) . . Pre-differentiable
- 23:40, 4 January 2017 (diff | hist) . . (+43) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 23:39, 4 January 2017 (diff | hist) . . (+173) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 23:37, 4 January 2017 (diff | hist) . . (+40) . . Rd-continuous
- 23:37, 4 January 2017 (diff | hist) . . (+40) . . Forward jump
- 23:37, 4 January 2017 (diff | hist) . . (+56) . . Regulated
- 23:36, 4 January 2017 (diff | hist) . . (+4) . . Regulated
- 23:35, 4 January 2017 (diff | hist) . . (+31) . . Left dense
- 23:35, 4 January 2017 (diff | hist) . . (+32) . . Right dense
- 23:35, 4 January 2017 (diff | hist) . . (+182) . . N Left scattered (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is left scattered provided that $\nu(t)<t$, where $\nu$ denotes the backward jump. =See also= Left ...")
- 23:34, 4 January 2017 (diff | hist) . . (+189) . . N Right scattered (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is right scattered provided that $\sigma(t)>t$, where $\sigma$ denotes the forward jump. =See also= [...")
- 23:33, 4 January 2017 (diff | hist) . . (-1) . . Left dense
- 23:33, 4 January 2017 (diff | hist) . . (+152) . . N Left dense (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is left dense provided that $\nu(t)=t$, where $\nu$ denotes the backwards jump.")
- 23:32, 4 January 2017 (diff | hist) . . (+157) . . N Right dense (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is right dense provided that $\sigma(t)=t$, where $\sigma$ denotes the forward jump.")
- 23:32, 4 January 2017 (diff | hist) . . (-8) . . Regulated
- 23:31, 4 January 2017 (diff | hist) . . (+6) . . Forward jump is rd-continuous (current)
- 23:30, 4 January 2017 (diff | hist) . . (+293) . . N Forward jump is rd-continuous (Created page with "==Theorem== The forward jump function is rd-continuous. ==Proof== ==References== * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan ...")
- 23:29, 4 January 2017 (diff | hist) . . (+25) . . Continuous implies rd-continuous (current)
- 23:28, 4 January 2017 (diff | hist) . . (-9) . . Rd-continuous
- 23:28, 4 January 2017 (diff | hist) . . (0) . . m Regulated (Tom moved page Regulated function to Regulated)
- 23:28, 4 January 2017 (diff | hist) . . (+23) . . N Regulated function (Tom moved page Regulated function to Regulated) (current)
- 23:28, 4 January 2017 (diff | hist) . . (0) . . m Continuous (Tom moved page Continuity to Continuous) (current)
- 23:28, 4 January 2017 (diff | hist) . . (+24) . . N Continuity (Tom moved page Continuity to Continuous) (current)
- 23:28, 4 January 2017 (diff | hist) . . (+44) . . Rd-continuous implies regulated (current)
- 23:27, 4 January 2017 (diff | hist) . . (+370) . . N Rd-continuous implies regulated (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. If $f$ is continuous, then $f$ is regulated. ==Proof== ==Refer...")
- 23:26, 4 January 2017 (diff | hist) . . (+42) . . Rd-continuous
- 23:25, 4 January 2017 (diff | hist) . . (+26) . . Rd-continuous
- 23:25, 4 January 2017 (diff | hist) . . (+375) . . N Continuous implies rd-continuous (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. If $f$ is continuous, then $f$ is rd-continuous. ==Proof== ==R...")
- 23:24, 4 January 2017 (diff | hist) . . (+57) . . Rd-continuous
- 23:23, 4 January 2017 (diff | hist) . . (+83) . . Book:Martin Bohner/Dynamic Equations on Time Scales (→Contents)
- 23:23, 4 January 2017 (diff | hist) . . (+164) . . Rd-continuous
- 23:22, 4 January 2017 (diff | hist) . . (+159) . . Regulated
- 07:02, 30 December 2016 (diff | hist) . . (+261) . . N Paper:C.R. Adams/Linear q-difference equations (Created page with "{{Book|Linear q-difference equations|1931|Journal of Dynamical Systems & Geometric Theories||C.R. Adams|}} ===Online copies=== [https://projecteuclid.org/download/pdf_1/eucli...") (current)
- 11:17, 24 December 2016 (diff | hist) . . (+130) . . Timescalecalculus python library documentation (→On $\mathbb{T}=\{2,3,5,7,11,13,17\}$)
- 11:14, 24 December 2016 (diff | hist) . . (+377) . . Timescalecalculus python library documentation (→Delta exponential $e_p(t,s)$)
- 11:07, 24 December 2016 (diff | hist) . . (+12) . . Timescalecalculus python library documentation (→Delta exponential $e_p(t,s)$)
- 11:06, 24 December 2016 (diff | hist) . . (-40) . . Timescalecalculus python library documentation
- 11:05, 24 December 2016 (diff | hist) . . (+4) . . Timescalecalculus python library documentation (→Delta exponential $e_p(t,s)$)
- 11:05, 24 December 2016
(diff | hist) . .
**(+1,041)** . . Timescalecalculus python library documentation - 06:37, 23 December 2016 (diff | hist) . . (+389) . . Timescalecalculus python library documentation

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