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- 18:06, 15 January 2023 (diff | hist) . . (-120) . . Gamma function on certain time scales at bracket number equals bracket factorial
- 18:05, 15 January 2023 (diff | hist) . . (+506) . . N Gamma function on certain time scales at bracket number equals bracket factorial (Created page with "==Theorem== <div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $n \in \mathbb{Z}^+$ and assume that $[k]_{\mathbb{T}}$ is a...")
- 18:05, 15 January 2023 (diff | hist) . . (-346) . . Gamma function (→Properties of gamma functions)
- 18:04, 15 January 2023 (diff | hist) . . (0) . . m Bracket number (Tom moved page Bracket numbers to Bracket number)
- 18:04, 15 January 2023 (diff | hist) . . (+28) . . N Bracket numbers (Tom moved page Bracket numbers to Bracket number) (current)
- 18:03, 15 January 2023 (diff | hist) . . (+311) . . N Bracket factorial (Created page with "Let $\mathbb{T}$ be a time scale. Define the bracket factorial by $$[n]_{\mathbb{T}}! = \left\{ \begin{array}{ll} 1&; n=0 \\ \displaystyle\prod_{j=1}^n [j]_{\mathbb{T}} &;...")
- 18:03, 15 January 2023 (diff | hist) . . (-167) . . Gamma function (→Properties of gamma functions)
- 18:02, 15 January 2023 (diff | hist) . . (+19) . . Bracket number
- 18:02, 15 January 2023 (diff | hist) . . (+122) . . Bracket number
- 18:01, 15 January 2023 (diff | hist) . . (+199) . . N Bracket number (Created page with "Define the bracket number operators (they are actually functions) $$[n]_{\mathbb{T}} = \left\{ \begin{array}{ll} 0 &; n=0 \\ [n-1]_{\mathbb{T}} \boxplus_{\mu} 1 &; n=1,2,\ldo...")
- 18:01, 15 January 2023 (diff | hist) . . (-199) . . Gamma function (→Properties of gamma functions)
- 18:01, 15 January 2023 (diff | hist) . . (+11) . . Gamma function of x boxplus one
- 18:00, 15 January 2023 (diff | hist) . . (+326) . . N Gamma function of x boxplus one (Created page with "==Theorem== If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then for all $x \in \mathbb{R}^+$, $$\Gamma_{\mathbb{T}}(x \boxplus_{\mu} 1;s) = \dfrac{x}{s} \Gamma_...")
- 17:58, 15 January 2023 (diff | hist) . . (-285) . . Gamma function (→Properties of gamma functions)
- 17:57, 15 January 2023 (diff | hist) . . (+242) . . N Gamma function equals one at one (Created page with "==Theorem== If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then $$\Gamma_{\mathbb{T}}(1;s)=1,$$ where $\Gamma_{\mathbb{T}}$ denotes the gamma function. ==...") (current)
- 17:56, 15 January 2023 (diff | hist) . . (-198) . . Gamma function (→Properties of gamma functions)
- 17:56, 15 January 2023 (diff | hist) . . (+60) . . Gamma function diverges at infinity (current)
- 17:55, 15 January 2023 (diff | hist) . . (+230) . . N Gamma function diverges at infinity (Created page with "==Theorem== If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then $$\displaystyle\lim_{x \rightarrow \infty} \Gamma_{\mathbb{T}}(x;s) = \infty.$$ ==Proof== ==R...")
- 17:55, 15 January 2023 (diff | hist) . . (-244) . . Gamma function
- 17:54, 15 January 2023 (diff | hist) . . (+286) . . N Gamma function diverges at zero (Created page with "==Theorem== If $\mathbb{T}$ is a time scale and $s \in \mathbb{T}^+$, then $$\displaystyle\lim_{x \rightarrow 0^+} \Gamma_{\mathbb{T}}(x;s) = \infty,$$ where $\Gamma_{\mat...") (current)
- 17:54, 15 January 2023 (diff | hist) . . (-239) . . Gamma function (→Properties of gamma functions)
- 17:53, 15 January 2023 (diff | hist) . . (+19) . . Gamma function
- 17:53, 15 January 2023 (diff | hist) . . (0) . . m Convergence of gamma function at positive values (Tom moved page Convergence of gamma function to Convergence of gamma function at positive values) (current)
- 17:53, 15 January 2023 (diff | hist) . . (+62) . . N Convergence of gamma function (Tom moved page Convergence of gamma function to Convergence of gamma function at positive values) (current)
- 17:52, 15 January 2023 (diff | hist) . . (+97) . . Convergence of gamma function at positive values
- 17:52, 15 January 2023 (diff | hist) . . (+179) . . N Convergence of gamma function at positive values (Created page with "==Theorem== If $s \in \mathbb{T}^+$, then $\Gamma_{\mathbb{T}}(x;s)$ converges for any $x \in \mathbb{R}^+$. ==Proof== ==References== Category:Theorem Category:Unprov...")
- 17:51, 15 January 2023 (diff | hist) . . (-242) . . Gamma function
- 17:49, 15 January 2023 (diff | hist) . . (+62) . . Gamma function
- 17:49, 15 January 2023 (diff | hist) . . (-244) . . Gamma function
- 17:48, 15 January 2023 (diff | hist) . . (+133) . . Unilateral Laplace transform
- 17:47, 15 January 2023 (diff | hist) . . (+45) . . Paper:Martin Bohner/The gamma function on time scales (current)
- 17:47, 15 January 2023 (diff | hist) . . (+124) . . Paper:Martin Bohner/The gamma function on time scales
- 17:45, 15 January 2023 (diff | hist) . . (+1) . . Paper:Martin Bohner/The gamma function on time scales
- 17:45, 15 January 2023 (diff | hist) . . (+20) . . Paper:Martin Bohner/The gamma function on time scales
- 17:44, 15 January 2023 (diff | hist) . . (+287) . . N Paper:Martin Bohner/The gamma function on time scales (Created page with "{{Book|The gamma function on time scales|2013|Dynamics of Continuous, Discrete, and Impulsive Systems Series A: Mathematical Analysis||Martin Bohner|}} ===Online copies=== [h...")
- 17:42, 15 January 2023 (diff | hist) . . (+1) . . Forward box minus
- 17:42, 15 January 2023 (diff | hist) . . (+1) . . Gamma function
- 17:42, 15 January 2023 (diff | hist) . . (+1) . . Forward box minus
- 17:42, 15 January 2023 (diff | hist) . . (+2) . . Forward box plus
- 17:42, 15 January 2023 (diff | hist) . . (0) . . m Forward box plus (Tom moved page Forward boxplus to Forward box plus)
- 17:42, 15 January 2023 (diff | hist) . . (+30) . . N Forward boxplus (Tom moved page Forward boxplus to Forward box plus) (current)
- 17:41, 15 January 2023 (diff | hist) . . (+1) . . Forward box minus
- 17:41, 15 January 2023 (diff | hist) . . (0) . . m Forward box minus (Tom moved page Forward boxminus to Forward box minus)
- 17:41, 15 January 2023 (diff | hist) . . (+31) . . N Forward boxminus (Tom moved page Forward boxminus to Forward box minus) (current)
- 17:41, 15 January 2023 (diff | hist) . . (+44) . . Gamma function
- 17:40, 15 January 2023 (diff | hist) . . (+103) . . Gamma function
- 17:40, 15 January 2023 (diff | hist) . . (-3) . . Gamma function
- 17:40, 15 January 2023 (diff | hist) . . (+6) . . Gamma function
- 17:39, 15 January 2023 (diff | hist) . . (-156) . . Gamma function
- 17:38, 15 January 2023 (diff | hist) . . (+4) . . Forward box minus
- 17:38, 15 January 2023 (diff | hist) . . (+304) . . N Forward box minus (Created page with "Let $\mathbb{T}$ be a time scale. We define the (forward) boxminus operation $\boxminus_{\mu}$ by $$\left( p \boxplus_{\mu} q \right)(t) := \dfrac{t\Big(p(t)-q(t)\Big)}{t...")
- 17:37, 15 January 2023 (diff | hist) . . (+72) . . Forward box plus
- 17:37, 15 January 2023 (diff | hist) . . (+229) . . N Forward box plus (Created page with "Let $\mathbb{T}$ be a time scale. We define the (forward) boxplus operation $\boxplus_{\mu}$ by $$\left( p \boxplus_{\mu} q \right)(t) := p(t)+q(t)+\dfrac{p(t)q(t)\mu(t)}...")
- 17:34, 15 January 2023 (diff | hist) . . (0) . . Gamma function
- 17:34, 15 January 2023 (diff | hist) . . (-29) . . Gamma function
- 17:34, 15 January 2023 (diff | hist) . . (+16) . . Gamma function
- 17:05, 15 January 2023 (diff | hist) . . (+7) . . Delta hk
- 17:05, 15 January 2023 (diff | hist) . . (0) . . Delta Taylor's formula (current)
- 17:04, 15 January 2023 (diff | hist) . . (-162) . . Delta Taylor's formula
- 17:04, 15 January 2023 (diff | hist) . . (+64) . . Delta Taylor's formula
- 16:50, 15 January 2023 (diff | hist) . . (+162) . . Cuchta-Georgiev Fourier transform of delta derivatives (current)
- 16:49, 15 January 2023 (diff | hist) . . (-136) . . Cuchta-Georgiev Fourier transform of delta derivatives
- 16:48, 15 January 2023 (diff | hist) . . (+607) . . N Cuchta-Georgiev Fourier transform of delta derivatives (Created page with "==Theorem== If $f$ is $k$-times delta differentiable and for all $\ell \in \{0,\ldots,k-1\}$, $\displaystyle\lim_{t \rightarrow \pm \infty} f^{\Delta^{\el...")
- 16:46, 15 January 2023 (diff | hist) . . (+67) . . Cuchta-Georgiev Fourier transform (→Examples)
- 16:46, 15 January 2023 (diff | hist) . . (0) . . Cuchta-Georgiev Fourier transform (→Examples)
- 16:45, 15 January 2023 (diff | hist) . . (-41) . . Cuchta-Georgiev Fourier transform (→Examples)
- 16:44, 15 January 2023 (diff | hist) . . (+857) . . Cuchta-Georgiev Fourier transform
- 16:43, 15 January 2023 (diff | hist) . . (+13) . . Marks-Gravagne-Davis Fourier transform
- 16:43, 15 January 2023 (diff | hist) . . (+13) . . Marks-Gravagne-Davis Fourier transform as a delta integral with classical exponential kernel (current)
- 16:42, 15 January 2023 (diff | hist) . . (+8) . . Cuchta-Georgiev Fourier transform
- 16:42, 15 January 2023 (diff | hist) . . (+73) . . Cuchta-Georgiev Fourier transform
- 16:35, 15 January 2023 (diff | hist) . . (+20) . . Cuchta-Georgiev Fourier transform
- 16:26, 15 January 2023 (diff | hist) . . (+3) . . Cuchta-Georgiev Fourier transform
- 16:25, 15 January 2023 (diff | hist) . . (+165) . . Cuchta-Georgiev Fourier transform
- 16:24, 15 January 2023 (diff | hist) . . (+256) . . N Paper:Tom Cuchta/Analysis of the bilateral Laplace transform on time scales with applications (Created page with "{{Book|Analysis of the bilateral Laplace transform on time scales with applications|2021|International Journal of Dynamical Systems and Differential Equations||Tom Cuchta|auth...")
- 16:22, 15 January 2023 (diff | hist) . . (+432) . . Cuchta-Georgiev Fourier transform
- 16:19, 15 January 2023 (diff | hist) . . (+21) . . Marks-Gravagne-Davis Fourier transform
- 16:18, 15 January 2023 (diff | hist) . . (+60) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:17, 15 January 2023 (diff | hist) . . (+56) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:17, 15 January 2023 (diff | hist) . . (+64) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:15, 15 January 2023 (diff | hist) . . (+37) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:14, 15 January 2023 (diff | hist) . . (+105) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:13, 15 January 2023 (diff | hist) . . (-519) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:13, 15 January 2023 (diff | hist) . . (+799) . . Marks-Gravagne-Davis Fourier transform (→Examples)
- 16:12, 15 January 2023 (diff | hist) . . (-21) . . Marks-Gravagne-Davis Fourier transform
- 16:12, 15 January 2023 (diff | hist) . . (+275) . . Marks-Gravagne-Davis Fourier transform
- 16:08, 15 January 2023 (diff | hist) . . (+219) . . Marks-Gravagne-Davis Fourier transform as a delta integral with classical exponential kernel
- 16:08, 15 January 2023 (diff | hist) . . (+25) . . Marks-Gravagne-Davis Fourier transform
- 16:08, 15 January 2023 (diff | hist) . . (+257) . . N Marks-Gravagne-Davis Fourier transform as a delta integral with classical exponential kernel (Created page with "==Theorem== If $0 \in \mathbb{T}$, then the Marks-Gravagne-Davis Fourier transform obeys $$\mathscr{F}\{f\}(z;0) = \displaystyle\int_{-\infty}^{\infty} f(t)e^{-2i\pi zt} \...")
- 16:04, 15 January 2023 (diff | hist) . . (+28) . . Marks-Gravagne-Davis Fourier transform
- 16:03, 15 January 2023 (diff | hist) . . (+83) . . Marks-Gravagne-Davis Fourier transform
- 16:01, 15 January 2023 (diff | hist) . . (+45) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales (current)
- 16:00, 15 January 2023 (diff | hist) . . (+45) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 16:00, 15 January 2023 (diff | hist) . . (+205) . . Hilger pure imaginary
- 15:59, 15 January 2023 (diff | hist) . . (+152) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:58, 15 January 2023 (diff | hist) . . (+156) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:57, 15 January 2023 (diff | hist) . . (+16) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:56, 15 January 2023 (diff | hist) . . (+89) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:55, 15 January 2023 (diff | hist) . . (+47) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:55, 15 January 2023 (diff | hist) . . (+193) . . Multiples of integers (current)
- 15:55, 15 January 2023 (diff | hist) . . (+202) . . Real numbers (current)
- 15:53, 15 January 2023 (diff | hist) . . (+525) . . Marks-Gravagne-Davis Fourier Transform (current)
- 15:52, 15 January 2023 (diff | hist) . . (+54) . . N Cuchta-Georgiev Fourier transform (Created page with " =See also= Marks-Gravagne-Davis Fourier transform")
- 15:52, 15 January 2023 (diff | hist) . . (+2) . . Marks-Gravagne-Davis Fourier transform
- 15:52, 15 January 2023 (diff | hist) . . (+48) . . Marks-Gravagne-Davis Fourier transform
- 15:52, 15 January 2023 (diff | hist) . . (0) . . m Marks-Gravagne-Davis Fourier transform (Tom moved page Marks-Gravagne-Davis Fourier Transform to Marks-Gravagne-Davis Fourier transform)
- 15:52, 15 January 2023 (diff | hist) . . (+52) . . N Marks-Gravagne-Davis Fourier Transform (Tom moved page Marks-Gravagne-Davis Fourier Transform to Marks-Gravagne-Davis Fourier transform)
- 15:51, 15 January 2023 (diff | hist) . . (+44) . . Main Page
- 15:51, 15 January 2023 (diff | hist) . . (+176) . . Marks-Gravagne-Davis Fourier transform
- 15:49, 15 January 2023 (diff | hist) . . (+21) . . Main Page
- 15:42, 15 January 2023 (diff | hist) . . (0) . . m Marks-Gravagne-Davis Fourier transform (Tom moved page Fourier transform to Marks-Gravagne-Davis Fourier Transform)
- 15:42, 15 January 2023 (diff | hist) . . (+52) . . N Fourier transform (Tom moved page Fourier transform to Marks-Gravagne-Davis Fourier Transform) (current)
- 15:42, 15 January 2023 (diff | hist) . . (+218) . . Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
- 15:27, 15 January 2023 (diff | hist) . . (+82) . . Book:Martin Bohner/Dynamic Equations on Time Scales (current)
- 15:26, 15 January 2023 (diff | hist) . . (0) . . Hilger pure imaginary
- 15:26, 15 January 2023 (diff | hist) . . (+158) . . Hilger pure imaginary
- 15:25, 15 January 2023 (diff | hist) . . (+174) . . Hilger imaginary part
- 15:25, 15 January 2023 (diff | hist) . . (+157) . . Hilger real part
- 15:24, 15 January 2023 (diff | hist) . . (+162) . . Hilger circle
- 15:23, 15 January 2023 (diff | hist) . . (-10) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 15:23, 15 January 2023 (diff | hist) . . (-10) . . Hilger alternating axis
- 15:23, 15 January 2023 (diff | hist) . . (+162) . . Hilger alternating axis
- 15:23, 15 January 2023 (diff | hist) . . (+166) . . Hilger real axis
- 15:22, 15 January 2023 (diff | hist) . . (+139) . . Hilger complex plane
- 15:21, 15 January 2023 (diff | hist) . . (+114) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 15:03, 15 January 2023 (diff | hist) . . (-256) . . Hilger imaginary part
- 15:03, 15 January 2023 (diff | hist) . . (+199) . . N Range of Hilger imaginary part (Created page with "==Theorem== The following inequality holds for $z \in \mathbb{C}_h$: $$-\dfrac{\pi}{h} < \mathrm{Im}_h(z) \leq \dfrac{\pi}{h}.$$ ==Proof== ==References== Category:Theorem...") (current)
- 15:02, 15 January 2023 (diff | hist) . . (-3) . . Forward circle plus
- 15:01, 15 January 2023 (diff | hist) . . (0) . . m Forward circle plus (Tom moved page Circle plus to Forward circle plus: there's a backward one too)
- 15:01, 15 January 2023 (diff | hist) . . (+33) . . N Circle plus (Tom moved page Circle plus to Forward circle plus: there's a backward one too) (current)
- 15:00, 15 January 2023 (diff | hist) . . (+241) . . Paper:Billy Jackson/Partial dynamic equations on time scales (current)
- 14:59, 15 January 2023 (diff | hist) . . (+15) . . Backward jump (current)
- 14:58, 15 January 2023 (diff | hist) . . (+14) . . Left dense (current)
- 14:58, 15 January 2023 (diff | hist) . . (+118) . . Forward graininess (current)
- 14:55, 15 January 2023 (diff | hist) . . (+144) . . N Isolated point (Created page with "=References= * {{PaperReference|Partial dynamic equations on time scales|2006|Billy Jackson||prev=Left dense|next=Forward graininess}}: Appendix") (current)
- 14:54, 15 January 2023 (diff | hist) . . (+131) . . Left dense
- 14:53, 15 January 2023 (diff | hist) . . (+116) . . Backward jump
- 14:53, 15 January 2023 (diff | hist) . . (+125) . . Left scattered
- 14:52, 15 January 2023 (diff | hist) . . (+133) . . Right dense (current)
- 14:52, 15 January 2023 (diff | hist) . . (+128) . . Right scattered
- 14:51, 15 January 2023 (diff | hist) . . (+138) . . Forward jump (current)
- 14:50, 15 January 2023 (diff | hist) . . (+140) . . Multiples of integers
- 14:49, 15 January 2023 (diff | hist) . . (+151) . . Quantum q greater than 1 (current)
- 14:48, 15 January 2023 (diff | hist) . . (+152) . . Real numbers
- 14:47, 15 January 2023 (diff | hist) . . (+12) . . Time scale (current)
- 14:47, 15 January 2023 (diff | hist) . . (+104) . . Time scale
- 14:46, 15 January 2023 (diff | hist) . . (+18) . . Paper:Billy Jackson/Partial dynamic equations on time scales
- 14:45, 15 January 2023 (diff | hist) . . (-3) . . Delta wave equation (current)
- 14:44, 15 January 2023 (diff | hist) . . (+63) . . Paper:Billy Jackson/Partial dynamic equations on time scales
- 14:44, 15 January 2023 (diff | hist) . . (+63) . . Paper:Billy Jackson/Partial dynamic equations on time scales
- 14:43, 15 January 2023 (diff | hist) . . (-3) . . Delta heat equation (current)
- 14:41, 15 January 2023 (diff | hist) . . (+39) . . Partial delta derivative
- 14:41, 15 January 2023 (diff | hist) . . (+39) . . Delta derivative
- 14:40, 15 January 2023 (diff | hist) . . (+8) . . Paper:Billy Jackson/Partial dynamic equations on time scales
- 14:39, 15 January 2023 (diff | hist) . . (+483) . . N Paper:Billy Jackson/Partial dynamic equations on time scales (Created page with "{{Book|Partial dynamic equations on time scales|2006|Journal of Computational and Applied Mathematics||Billy Jackson|}} ===Online copies=== [https://www.sciencedirect.com/sci...")
- 14:39, 15 January 2023 (diff | hist) . . (+108) . . Partial delta derivative
- 14:30, 15 January 2023 (diff | hist) . . (+35) . . Real numbers
- 14:28, 15 January 2023 (diff | hist) . . (+171) . . Main Page
- 14:27, 15 January 2023 (diff | hist) . . (+61) . . User:Tom (current)
- 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
- 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
- 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
- 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)
- 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,$$ where $L_{\mathbb{T}}$...")
- 18:56, 11 December 2017 (diff | hist) . . (+54) . . Mozyrska-Torres logarithm (→Properties) (current)
- 15:33, 21 October 2017 (diff | hist) . . (+10) . . Mozyrska-Torres logarithm
- 15:32, 21 October 2017 (diff | hist) . . (+97) . . Mozyrska-Torres logarithm
- 15:32, 21 October 2017 (diff | hist) . . (+415) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales (current)
- 15:31, 21 October 2017 (diff | hist) . . (-1) . . Mozyrska-Torres logarithm composed with forward jump
- 15:30, 21 October 2017 (diff | hist) . . (+177) . . Euler-Cauchy logarithm
- 15:29, 21 October 2017 (diff | hist) . . (-12) . . Mozyrska-Torres logarithm
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Delta derivative of Mozyrska-Torres logarithm (current)
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm at 1 (current)
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm on the reals
- 15:28, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm is increasing
- 15:27, 21 October 2017 (diff | hist) . . (0) . . Mozyraska-Torres logarithm is negative on (0,1)
- 15:27, 21 October 2017 (diff | hist) . . (0) . . Mozyrska-Torres logarithm is positive on (1,infinity)
- 15:27, 21 October 2017 (diff | hist) . . (+499) . . N Mozyrska-Torres logarithm composed with forward jump (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. Then, $$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
- 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
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