User contributions
(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)
- 13:36, 20 January 2023 (diff | hist) . . (-1,053) . . Unilateral convolution
- 12:58, 16 January 2023 (diff | hist) . . (0) . . m Forward regressive (Tom moved page Forward regressive function to Forward regressive) (current)
- 12:58, 16 January 2023 (diff | hist) . . (+32) . . N Forward regressive function (Tom moved page Forward regressive function to Forward regressive) (current)
- 12:57, 16 January 2023 (diff | hist) . . (0) . . m Forward positively regressive (Tom moved page Forward positively regressive function to Forward positively regressive) (current)
- 12:57, 16 January 2023 (diff | hist) . . (+43) . . N Forward positively regressive function (Tom moved page Forward positively regressive function to Forward positively regressive) (current)
- 12:57, 16 January 2023 (diff | hist) . . (+23) . . Forward positively regressive
- 12:57, 16 January 2023 (diff | hist) . . (+264) . . N Forward positively regressive (Created page with "Let $\mathbb{T}$ be a time scale. Let $p \colon \mathbb{T} \rightarrow \mathbb{C}$. We say that $p$ is (forward) positively regressive if for all $t \in \math...")
- 12:56, 16 January 2023 (diff | hist) . . (+91) . . Delta Bernoulli inequality
- 12:53, 16 January 2023 (diff | hist) . . (+25) . . Bracket number (current)
- 12:53, 16 January 2023 (diff | hist) . . (+25) . . Bracket factorial (current)
- 12:53, 16 January 2023 (diff | hist) . . (+25) . . Gamma function (current)
- 12:53, 16 January 2023 (diff | hist) . . (+25) . . Bilateral Laplace transform
- 12:53, 16 January 2023 (diff | hist) . . (+25) . . Pre-differentiable (current)
- 12:53, 16 January 2023 (diff | hist) . . (-124) . . Forward regressive
- 12:50, 16 January 2023 (diff | hist) . . (+49) . . Bilateral Laplace transform
- 12:50, 16 January 2023 (diff | hist) . . (+10) . . Bilateral Laplace transform
- 12:48, 16 January 2023 (diff | hist) . . (+56) . . Abel's theorem (current)
- 12:46, 16 January 2023 (diff | hist) . . (-231) . . Abel's theorem
- 12:43, 16 January 2023 (diff | hist) . . (+14) . . Pre-differentiable
- 12:43, 16 January 2023 (diff | hist) . . (+6) . . Main Page
- 12:43, 16 January 2023 (diff | hist) . . (0) . . m First mean value theorem (Tom moved page Mean value theorem to First mean value theorem) (current)
- 12:43, 16 January 2023 (diff | hist) . . (+38) . . N Mean value theorem (Tom moved page Mean value theorem to First mean value theorem) (current)
- 12:42, 16 January 2023 (diff | hist) . . (-123) . . First mean value theorem
- 12:41, 16 January 2023 (diff | hist) . . (+8) . . Main Page (→Calculus on time scales)
- 02:35, 16 January 2023 (diff | hist) . . (+79) . . Main Page
- 02:33, 16 January 2023 (diff | hist) . . (+294) . . Paper:Tom Cuchta/Analysis of the bilateral Laplace transform on time scales with applications (current)
- 02:31, 16 January 2023 (diff | hist) . . (-7) . . Cuchta-Georgiev Fourier transform
- 02:31, 16 January 2023 (diff | hist) . . (+44) . . Bilateral Laplace transform
- 02:31, 16 January 2023 (diff | hist) . . (+50) . . Unilateral Laplace transform
- 02:31, 16 January 2023 (diff | hist) . . (+40) . . Bilateral Laplace transform
- 02:30, 16 January 2023 (diff | hist) . . (+161) . . Bilateral Laplace transform
- 18:09, 15 January 2023 (diff | hist) . . (+9) . . Gamma function (→Examples of gamma functions)
- 18:09, 15 January 2023 (diff | hist) . . (+19) . . Gamma function (→Examples of gamma functions)
- 18:08, 15 January 2023 (diff | hist) . . (+50) . . Forward box plus (current)
- 18:08, 15 January 2023 (diff | hist) . . (+50) . . Gamma function of x boxplus one (current)
- 18:08, 15 January 2023 (diff | hist) . . (+99) . . Bracket factorial
- 18:07, 15 January 2023 (diff | hist) . . (+99) . . Bracket number
- 18:07, 15 January 2023 (diff | hist) . . (+108) . . Gamma function on certain time scales at bracket number equals bracket factorial (current)
- 18:06, 15 January 2023 (diff | hist) . . (+11) . . Gamma function
- 18:06, 15 January 2023 (diff | hist) . . (0) . . m Gamma function on certain time scales at bracket number equals bracket factorial (Tom moved page Gamma function on integers at bracket number equals bracket factorial to Gamma function on certain time scales at bracket number equals bracket factorial)
- 18:06, 15 January 2023 (diff | hist) . . (+94) . . N Gamma function on integers at bracket number equals bracket factorial (Tom moved page Gamma function on integers at bracket number equals bracket factorial to Gamma function on certain time scales at bracket number equals bracket factorial) (current)
- 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
- 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
- 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
- 22:38, 10 February 2017 (diff | hist) . . (+18) . . Forward regressive
- 22:38, 10 February 2017 (diff | hist) . . (+104) . . Forward regressive
- 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
- 16:38, 9 February 2017 (diff | hist) . . (+26) . . Forward regressive
- 16:38, 9 February 2017 (diff | hist) . . (-1,845) . . Forward regressive (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
- 06:34, 23 December 2016 (diff | hist) . . (+50) . . Backward graininess (current)
- 06:24, 23 December 2016 (diff | hist) . . (+287) . . N Delta derivative of constant (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{C}$ be a constant function. Then the following formula holds for all $t \in \...") (current)
- 06:23, 23 December 2016 (diff | hist) . . (+39) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 06:22, 23 December 2016 (diff | hist) . . (+386) . . Timescalecalculus python library documentation (→Defining a time scale)
- 03:27, 19 December 2016 (diff | hist) . . (+16) . . Timescalecalculus python library documentation (→Defining a time scale)
- 03:21, 19 December 2016 (diff | hist) . . (+79) . . MediaWiki:Sidebar
- 03:12, 19 December 2016 (diff | hist) . . (-69) . . Timescalecalculus python library documentation
- 03:11, 19 December 2016 (diff | hist) . . (+207) . . Timescalecalculus python library documentation
- 03:09, 19 December 2016 (diff | hist) . . (-54) . . Timescalecalculus python library documentation
- 03:05, 19 December 2016 (diff | hist) . . (-29) . . Main Page
- 03:04, 19 December 2016 (diff | hist) . . (+204) . . Main Page
- 03:02, 19 December 2016 (diff | hist) . . (+950) . . N Timescalecalculus python library documentation (Created page with "{{lowercase}} This is the documentation for the Python repository [https://github.com/tomcuchta/timescalecalculus timescalecalculus]. =The basics= After extracting the files...")
- 03:02, 19 December 2016 (diff | hist) . . (0) . . Delta derivative of squaring function (current)
- 03:00, 19 December 2016 (diff | hist) . . (+346) . . N Delta derivative of squaring function (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. The following formula holds for $f \colon \mathbb{T} \rightarrow \mathbb{R}$ defined by $f(t)=t^2$: $$f^{\Delta}(t)=t \sigma(...")
- 02:59, 19 December 2016 (diff | hist) . . (+48) . . Delta derivative (→Properties of the $\Delta$-derivative)
- 02:50, 19 December 2016 (diff | hist) . . (+154) . . N Template:Lowercase (Created page with "<span style="display:none">{{DISPLAYTITLE:{{#if:{{NAMESPACE}}|{{NAMESPACE}}:|}}{{lcfirst:{{PAGENAME}}}}}}</span><noinclude> {{documentation}} </noinclude>") (current)
- 01:11, 19 December 2016 (diff | hist) . . (+10) . . Nabla exponential (current)
- 23:51, 11 December 2016 (diff | hist) . . (+37) . . Main Page
- 23:39, 11 December 2016 (diff | hist) . . (+71) . . Nabla sine (current)
- 23:38, 11 December 2016 (diff | hist) . . (+8) . . Nabla cosh (current)
- 23:38, 11 December 2016 (diff | hist) . . (0) . . m Dynamic equation for nabla cosh and nabla sinh (Tom moved page 2nd order dynamic equation for nabla cosh and nabla sinh to Dynamic equation for nabla cosh and nabla sinh) (current)
- 23:38, 11 December 2016 (diff | hist) . . (+60) . . N 2nd order dynamic equation for nabla cosh and nabla sinh (Tom moved page 2nd order dynamic equation for nabla cosh and nabla sinh to Dynamic equation for nabla cosh and nabla sinh) (current)
- 23:37, 11 December 2016 (diff | hist) . . (0) . . m Dynamic equation for nabla cosh and nabla sinh (Tom moved page Second order dynamic equation for nabla cosh to 2nd order dynamic equation for nabla cosh and nabla sinh)
- 23:37, 11 December 2016 (diff | hist) . . (+70) . . N Second order dynamic equation for nabla cosh (Tom moved page Second order dynamic equation for nabla cosh to 2nd order dynamic equation for nabla cosh and nabla sinh) (current)
- 23:37, 11 December 2016 (diff | hist) . . (+447) . . N Dynamic equation for nabla cosh and nabla sinh (Created page with "==Theorem== If $\gamma > 0$ with $\alpha^2\nu \in \mathcal{\nu}$, a regressive function, then the dynamic equation $$y^{\nabla \nabla}-\gamma^2 y=0$$ is solved by the func...")
- 23:35, 11 December 2016 (diff | hist) . . (-365) . . Nabla cosh
- 02:00, 11 December 2016 (diff | hist) . . (+83) . . Main Page
- 01:56, 11 December 2016 (diff | hist) . . (+77) . . Main Page
- 00:56, 11 December 2016 (diff | hist) . . (+2) . . Nth root of nonnegative integers (current)
- 02:15, 2 December 2016 (diff | hist) . . (-75) . . Delta exponential
- 02:15, 2 December 2016 (diff | hist) . . (+65) . . Cylinder transformation
- 02:14, 2 December 2016 (diff | hist) . . (+431) . . N Cylinder transformation (Created page with "Let $\mathbb{T}$ be a time scale. We define the cylinder transformation $\xi_h \colon \mathbb{C}_h \rightarrow \mathbb{Z}_h$, where $\mathbb{C}_h$ denotes the Hilger com...")
- 02:48, 17 November 2016 (diff | hist) . . (-1) . . Delta derivative of the delta integral (current)
- 22:13, 6 October 2016 (diff | hist) . . (-44) . . Delta integral over degenerate interval (current)
- 15:07, 25 September 2016 (diff | hist) . . (+30) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 15:06, 25 September 2016 (diff | hist) . . (+2) . . Delta derivative of classical polynomial (current)
- 15:05, 25 September 2016 (diff | hist) . . (+44) . . Delta derivative of classical polynomial
- 01:31, 24 September 2016 (diff | hist) . . (+11) . . Table:Delta hk (current)
- 00:23, 24 September 2016 (diff | hist) . . (+2) . . Delta differentiable implies continuous
- 00:22, 24 September 2016 (diff | hist) . . (+33) . . Delta hk
- 00:22, 24 September 2016 (diff | hist) . . (-63) . . Expected value of uniform distribution (current)
- 12:48, 23 September 2016 (diff | hist) . . (+2) . . Delta derivative of reciprocal of classical polynomial (current)
- 15:58, 22 September 2016 (diff | hist) . . (+15) . . Variance (current)
- 15:57, 22 September 2016 (diff | hist) . . (+15) . . Expected value (→Example) (current)
- 15:53, 22 September 2016 (diff | hist) . . (+10) . . Delta Lyapunov inequality
- 15:46, 22 September 2016 (diff | hist) . . (+24) . . Hilger real part
- 15:46, 22 September 2016 (diff | hist) . . (+5) . . Hilger pure imaginary
- 15:45, 22 September 2016 (diff | hist) . . (+10) . . Hilger imaginary part
- 15:43, 22 September 2016 (diff | hist) . . (+10) . . Forward circle minus
- 15:41, 22 September 2016 (diff | hist) . . (+9) . . Bilateral Laplace transform
(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)