User contributions
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- 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
- 14:53, 21 October 2017 (diff | hist) . . (+131) . . Pre-differentiable
- 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
- 14:48, 21 October 2017 (diff | hist) . . (+150) . . Right dense
- 14:47, 21 October 2017 (diff | hist) . . (+152) . . Left scattered
- 14:47, 21 October 2017 (diff | hist) . . (+158) . . Right scattered
- 14:46, 21 October 2017 (diff | hist) . . (+154) . . Forward graininess
- 14:46, 21 October 2017 (diff | hist) . . (-1) . . Backward jump
- 14:46, 21 October 2017 (diff | hist) . . (+157) . . Backward jump
- 14:45, 21 October 2017 (diff | hist) . . (+135) . . Forward jump
- 14:44, 21 October 2017 (diff | hist) . . (+295) . . Time scale
- 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
- 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
- 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
- 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
- 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)
- 00:42, 30 May 2017 (diff | hist) . . (+240) . . Hilger circle
- 00:41, 30 May 2017 (diff | hist) . . (-25) . . Hilger real axis
- 00:40, 30 May 2017 (diff | hist) . . (+49) . . Hilger complex plane
- 00:40, 30 May 2017 (diff | hist) . . (-16) . . Hilger alternating axis
- 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
- 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) . . Unilateral Laplace transform (→References)
- 13:01, 10 March 2017 (diff | hist) . . (+10) . . Unilateral 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
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