User contributions
(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)
- 15:40, 22 September 2016 (diff | hist) . . (0) . . Relationship between delta hk and delta gk (current)
- 21:00, 17 September 2016 (diff | hist) . . (+92) . . Mozyrska-Torres logarithm
- 20:56, 17 September 2016 (diff | hist) . . (+304) . . N Mozyrska-Torres logarithm at 1 (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}(1)=0,$$ where $...")
- 20:56, 17 September 2016 (diff | hist) . . (+18) . . Mozyrska-Torres logarithm (→Properties)
- 20:55, 17 September 2016 (diff | hist) . . (+66) . . Delta derivative of Mozyrska-Torres logarithm
- 20:55, 17 September 2016 (diff | hist) . . (+71) . . Delta derivative of Mozyrska-Torres logarithm
- 20:54, 17 September 2016 (diff | hist) . . (+189) . . N Delta derivative of Mozyrska-Torres logarithm (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale including $1$ and at least one other point $t$ such that $0< t < 1$. The following formula holds: $$L_{\mathbb{T}}^{\Delta}(t) = \...")
- 20:54, 17 September 2016 (diff | hist) . . (+11) . . Mozyrska-Torres logarithm
- 20:53, 17 September 2016 (diff | hist) . . (+36) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:52, 17 September 2016 (diff | hist) . . (+3) . . Mozyrska-Torres logarithm
- 20:50, 17 September 2016 (diff | hist) . . (+1) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:50, 17 September 2016 (diff | hist) . . (+1) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 20:49, 17 September 2016 (diff | hist) . . (+26) . . MediaWiki:Sidebar
- 20:48, 17 September 2016 (diff | hist) . . (+20) . . Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales
- 20:48, 17 September 2016 (diff | hist) . . (+243) . . N Paper:Dorota Mozyrska/The Natural Logarithm on Time Scales (Created page with "{{Book|The Natural Logarithm on Time Scales|2009|Journal of Dynamical Systems & Geometric Theories||Dorota Mozyrska|author2 = Delfim F. M. Torres}} ===Online copies=== [http:...")
- 00:46, 15 September 2016 (diff | hist) . . (+10) . . Nabla exponential
- 00:43, 15 September 2016 (diff | hist) . . (+15) . . Delta spq (current)
- 00:42, 15 September 2016 (diff | hist) . . (-137) . . Derivative of alternative delta sine (current)
- 00:41, 15 September 2016 (diff | hist) . . (-139) . . Derivative of alternative delta cosine (current)
- 00:41, 15 September 2016 (diff | hist) . . (-165) . . Pythagorean identity for alternate delta trigonometric functions (current)
- 00:41, 15 September 2016 (diff | hist) . . (+15) . . Delta cpq (→Properties) (current)
- 00:39, 15 September 2016 (diff | hist) . . (+10) . . Delta Wirtinger inequality (current)
- 00:39, 15 September 2016 (diff | hist) . . (-112) . . Delta Wirtinger inequality
- 00:38, 15 September 2016 (diff | hist) . . (+10) . . Delta Tschebycheff inequality (current)
- 00:38, 15 September 2016 (diff | hist) . . (+83) . . Delta Tschebycheff inequality
- 00:38, 15 September 2016 (diff | hist) . . (+44) . . Delta Opial inequality (current)
- 00:38, 15 September 2016 (diff | hist) . . (+44) . . Delta Minkowski inequality (current)
- 00:37, 15 September 2016 (diff | hist) . . (+10) . . Delta Markov inequality (current)
- 00:37, 15 September 2016 (diff | hist) . . (+87) . . Delta Markov inequality
- 00:37, 15 September 2016 (diff | hist) . . (-112) . . Delta Lyapunov inequality
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Jensen inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Gronwall inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Cauchy-Schwarz inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Bihari inequality (current)
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Bernoulli inequality
- 00:36, 15 September 2016 (diff | hist) . . (+44) . . Delta Hölder inequality (current)
- 00:35, 15 September 2016 (diff | hist) . . (+12) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:35, 15 September 2016 (diff | hist) . . (+36) . . Delta Opial inequality
- 00:35, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey (→Contents)
- 00:34, 15 September 2016 (diff | hist) . . (+36) . . Delta Bihari inequality
- 00:34, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:34, 15 September 2016 (diff | hist) . . (+36) . . Delta Gronwall inequality
- 00:33, 15 September 2016 (diff | hist) . . (+46) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:32, 15 September 2016 (diff | hist) . . (+36) . . Delta Bernoulli inequality
- 00:31, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:31, 15 September 2016 (diff | hist) . . (+36) . . Delta Jensen inequality
- 00:30, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:30, 15 September 2016 (diff | hist) . . (+10) . . Delta Minkowski inequality
- 00:30, 15 September 2016 (diff | hist) . . (-120) . . Delta Minkowski inequality
- 00:30, 15 September 2016 (diff | hist) . . (+10) . . Delta Cauchy-Schwarz inequality
- 00:29, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:28, 15 September 2016 (diff | hist) . . (-120) . . Delta Cauchy-Schwarz inequality
- 00:28, 15 September 2016 (diff | hist) . . (0) . . Delta Hölder inequality
- 00:27, 15 September 2016 (diff | hist) . . (0) . . Delta Hölder inequality
- 00:19, 15 September 2016 (diff | hist) . . (+13) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:16, 15 September 2016 (diff | hist) . . (-173) . . Delta Hölder inequality
- 00:07, 15 September 2016 (diff | hist) . . (+7,617) . . N Template:PaperReference (Created page with "<!-- This excerpt is here for ease of understanding the wiki code for author refs. Might be expanded to aid readability of the book reference as well. {{AuthorRef|{{{3}}}}} {...") (current)
- 00:07, 15 September 2016 (diff | hist) . . (+63) . . Delta Hölder inequality
- 00:04, 15 September 2016 (diff | hist) . . (+467) . . Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
- 00:03, 15 September 2016 (diff | hist) . . (-146) . . Delta Opial inequality
- 00:02, 15 September 2016 (diff | hist) . . (-140) . . Delta Bihari inequality
- 00:01, 15 September 2016 (diff | hist) . . (-146) . . Delta Gronwall inequality
- 23:59, 14 September 2016 (diff | hist) . . (-157) . . Delta Jensen inequality
- 23:47, 14 September 2016 (diff | hist) . . (+289) . . N Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey (Created page with "{{Book|Inequalities on Time Scales: A Survey|2001|Mathematical Inequalities & Applications||Ravi Agarwal|author2 = Martin Bohner| author3 = Allan Peterson}} ===Online copies=...")
- 23:46, 14 September 2016 (diff | hist) . . (+192) . . N Template:Date (Created page with "{{#if: {{{day|}}} |${{{day}}}$ {{{month}}} ${{{year}}}$|{{#if: {{{month|}}} |{{{month}}} ${{{year}}}$|{{#if: {{{circa|}}} |c. ${{{circa}}}$|${{{1}}}$}}}}}}{{#if: {{{era|}}} |&...") (current)
- 23:36, 14 September 2016 (diff | hist) . . (0) . . Delta Bernoulli inequality
- 23:36, 14 September 2016 (diff | hist) . . (+10) . . Delta Bernoulli inequality
- 23:35, 14 September 2016 (diff | hist) . . (-156) . . Delta Bernoulli inequality
- 01:07, 23 August 2016 (diff | hist) . . (+130) . . Main Page (→Special functions on time scales)
- 01:06, 23 August 2016 (diff | hist) . . (+25) . . Main Page (→$\Diamond_{\alpha}$-calculus)
- 01:06, 23 August 2016 (diff | hist) . . (+10) . . Main Page (→$\nabla$-calculus)
- 01:06, 23 August 2016 (diff | hist) . . (+105) . . Main Page (→$\Delta$-calculus)
- 01:05, 23 August 2016 (diff | hist) . . (+215) . . Main Page (→Calculus on time scales)
- 01:01, 23 August 2016 (diff | hist) . . (+64) . . Nabla derivative (current)
- 00:58, 23 August 2016 (diff | hist) . . (+153) . . Nabla derivative at left-scattered (current)
- 00:57, 23 August 2016 (diff | hist) . . (+215) . . N Nabla derivative at left-scattered (Created page with "==Theorem== If $f$ is continuous at $t$ and $t$ is left-scattered, then $$f^{\nabla}(t) = \dfrac{f(t)-f(\rho(t))}{\nu(t)}.$$ ==Proof== ==References== ...")
- 00:55, 23 August 2016 (diff | hist) . . (-229) . . Nabla derivative
- 00:54, 23 August 2016 (diff | hist) . . (+190) . . N Nabla differentiable implies continuous (Created page with "==Theorem== If $f$ is nabla differentiable at $t$, then $f$ is continuous at $t$. ==Proof== ==References== Category:Theorem Cate...") (current)
- 00:53, 23 August 2016 (diff | hist) . . (-221) . . Nabla derivative (→Properties of the $\nabla$-derivative)
- 00:31, 23 August 2016 (diff | hist) . . (-159) . . Relationship between delta derivative and nabla derivative (current)
- 23:46, 22 August 2016 (diff | hist) . . (-1,318) . . Delta integral (current)
- 23:37, 22 August 2016 (diff | hist) . . (+41) . . Delta integral
- 23:35, 22 August 2016 (diff | hist) . . (+87) . . Delta derivative of the delta integral
- 23:34, 22 August 2016 (diff | hist) . . (+181) . . N Delta derivative of the delta integral (Created page with "==Theorem== The following formula holds: $$\left( \int_{t_0}^x f(\tau) \Delta \tau) \right)^{\Delta} = f(x).$$ ==Proof== ==References== Category:Theorem Category:Unpr...")
- 23:34, 22 August 2016 (diff | hist) . . (-268) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:33, 22 August 2016 (diff | hist) . . (+255) . . N Delta integral of delta derivative (Created page with "==Theorem== The following formula holds: $$\int_a^b f^{\Delta}(t) \Delta t = f(b)-f(a),$$ where $\int$ denotes the delta integral and $f^{\Delta}$ denotes the delta deri...") (current)
- 23:33, 22 August 2016 (diff | hist) . . (-250) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:32, 22 August 2016 (diff | hist) . . (+221) . . N Delta integral of nonnegative function (Created page with "==Theorem== If $f(t) \geq 0$ for all $a \leq t < b$ then $$\displaystyle\int_a^b f(t) \Delta t \geq 0,$$ where $\int$ denotes the delta integral. ==Proof== ==References...") (current)
- 23:31, 22 August 2016 (diff | hist) . . (-226) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:28, 22 August 2016 (diff | hist) . . (+263) . . N Modulus of delta integral (Created page with "==Theorem== Let $|f(t)| \leq g(t)$ on $[a,b)$. The following formula holds: $$\left| \int_a^b f(t) \Delta t \right| \leq \int_a^b g(t) \Delta t,$$ where $\int$ denotes the ...") (current)
- 23:27, 22 August 2016 (diff | hist) . . (-255) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:26, 22 August 2016 (diff | hist) . . (+187) . . N Delta integral over degenerate interval (Created page with "==Theorem== The following formula holds: $$\int_a^a f(t) \Delta t = 0,$$ where $\int$ denotes the delta integral. ==Proof== ==References== Category:Theorem Categor...")
- 23:26, 22 August 2016 (diff | hist) . . (-191) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:26, 22 August 2016 (diff | hist) . . (+45) . . Integration by parts for delta integrals with no sigma in integrand
- 23:25, 22 August 2016 (diff | hist) . . (+220) . . N Integration by parts for delta integrals with no sigma in integrand (Created page with "==Theorem== The following formula holds: $$\int_a^b f(t) g^{\Delta}(t) \Delta t = (fg)(b) - (fg)(a) - \int_a^b f^{\Delta}(t) g(\sigma(t)) \Delta t.$$ ==Proof== ==References=...")
- 23:25, 22 August 2016 (diff | hist) . . (+12) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:25, 22 August 2016 (diff | hist) . . (-273) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:24, 22 August 2016 (diff | hist) . . (+263) . . N Integration by parts for delta integrals with sigma in integrand (Created page with "==Theorem== The following formula holds: $$\int_a^b f(\sigma(t))g^{\Delta}(t) \Delta t = (fg)(b) - (fg)(a) - \int_a^b f^{\Delta}(t)g(t) \Delta t,$$ where $\int$ denotes the ...")
- 23:24, 22 August 2016 (diff | hist) . . (-273) . . Delta integral (→Properties of $\Delta$-integrals)
- 23:23, 22 August 2016 (diff | hist) . . (+43) . . Delta integrals are additive over intervals (current)
- 23:22, 22 August 2016 (diff | hist) . . (+189) . . N Delta integrals are additive over intervals (Created page with "==Theorem== The following formula holds: $$\int_a^b f(t) \Delta t = \int_a^c f(t) \Delta t + \int_c^b f(t) \Delta t.$$ ==Proof== ==References== Category:Theorem Categ...")
- 23:22, 22 August 2016 (diff | hist) . . (-234) . . Delta integral (→Properties of $\Delta$-integrals)
- 22:52, 22 August 2016 (diff | hist) . . (+210) . . N Interchanging limits of delta integral (Created page with "==Theorem== The following formula holds: $$\int_a^b f(t) \Delta t = -\int_b^a f(t) \Delta t,$$ where $\int$ denotes the delta integral. ==Proof== ==References== Categ...") (current)
- 22:52, 22 August 2016 (diff | hist) . . (-512) . . Delta integral (→Properties of $\Delta$-integrals)
- 22:49, 22 August 2016 (diff | hist) . . (+312) . . N Delta integral is linear (Created page with "==Theorem== The delta integral is linear, i.e. for any $\alpha, \beta \in \mathbb{C}$, $$\displaystyle\int_s^t \alpha f(t) + \beta g(t) \Delta t = \alpha \displaystyle\in...") (current)
- 22:48, 22 August 2016 (diff | hist) . . (-131) . . Delta integral (→Properties of $\Delta$-integrals)
- 22:47, 22 August 2016 (diff | hist) . . (+108) . . Delta integral (→Properties of $\Delta$-integrals)
- 22:40, 22 August 2016 (diff | hist) . . (-228) . . Delta integral (→Properties of $\Delta$-integrals)
- 22:40, 22 August 2016 (diff | hist) . . (0) . . m Delta integral from t to sigma(t) (Tom moved page Integral from t to sigma(t) to Delta integral from t to sigma(t)) (current)
- 22:40, 22 August 2016 (diff | hist) . . (+47) . . N Integral from t to sigma(t) (Tom moved page Integral from t to sigma(t) to Delta integral from t to sigma(t)) (current)
- 22:39, 22 August 2016 (diff | hist) . . (+40) . . Delta integral from t to sigma(t)
- 22:39, 22 August 2016 (diff | hist) . . (+91) . . Delta integral from t to sigma(t)
- 22:38, 22 August 2016 (diff | hist) . . (+167) . . N Delta integral from t to sigma(t) (Created page with "==Theorem== The following formula holds: $$\int_t^{\sigma(t)} f(\tau) \Delta \tau = \mu(t)f(t)$$ ==Proof== ==References== Category:Theorem Category:Unproven")
- 22:37, 22 August 2016 (diff | hist) . . (-526) . . Delta integral
- 23:10, 14 July 2016 (diff | hist) . . (+14) . . Forward circle plus
- 23:10, 14 July 2016 (diff | hist) . . (+9) . . Regressive functions form an abelian group under circle plus (current)
- 23:09, 14 July 2016 (diff | hist) . . (0) . . Regressive functions form an abelian group under circle plus
- 23:09, 14 July 2016 (diff | hist) . . (+210) . . Regressive functions form an abelian group under circle plus
- 23:07, 14 July 2016 (diff | hist) . . (+143) . . N Regressive functions form an abelian group under circle plus (Created page with "==Theorem== The structure $(\mathbb{C}_h,\oplus_h)$ is an Abelian group. ==Proof== ==References== Category:Theorem Category:Unproven")
- 23:06, 14 July 2016 (diff | hist) . . (-169) . . Forward circle plus
- 21:42, 14 July 2016 (diff | hist) . . (-154) . . Hilger real part oplus Hilger imaginary part equals z (current)
- 21:34, 14 July 2016 (diff | hist) . . (+20) . . Forward circle plus
- 21:33, 14 July 2016 (diff | hist) . . (-136) . . Circle minus inverse of circle plus (current)
- 02:27, 11 June 2016 (diff | hist) . . (+1) . . Delta cosine
- 02:26, 11 June 2016 (diff | hist) . . (-3) . . Delta cosine
- 06:23, 10 June 2016 (diff | hist) . . (-376) . . Riccati equation (current)
- 06:13, 10 June 2016 (diff | hist) . . (+84) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 06:13, 10 June 2016 (diff | hist) . . (+755) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 06:09, 10 June 2016 (diff | hist) . . (-1) . . Delta derivative of sum (current)
- 06:08, 10 June 2016 (diff | hist) . . (+1) . . Delta simple useful formula (current)
- 06:06, 10 June 2016 (diff | hist) . . (+16) . . Forward jump
- 06:05, 10 June 2016 (diff | hist) . . (+145) . . Time scale
- 06:05, 10 June 2016 (diff | hist) . . (+25) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 06:03, 10 June 2016 (diff | hist) . . (+44) . . Delta derivative of reciprocal of classical polynomial
- 06:02, 10 June 2016 (diff | hist) . . (-159) . . Relationship between nabla derivative and delta derivative (current)
- 06:01, 10 June 2016 (diff | hist) . . (+116) . . Delta derivative
- 06:00, 10 June 2016 (diff | hist) . . (+537) . . N Delta derivative of reciprocal of classical polynomial (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale, let $\alpha$ a constant, let $m \in \mathbb{N}$, and define $g\colon \mathbb{T} \rightarrow \mathbb{R}$ by $g(t)=\dfrac{1}{(t...")
- 05:53, 10 June 2016 (diff | hist) . . (+54) . . Delta derivative of classical polynomial
- 05:53, 10 June 2016 (diff | hist) . . (+500) . . N Delta derivative of classical polynomial (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale, let $\alpha \in \mathbb{R}$, let $m \in \mathbb{N}$, and define $f \colon \mathbb{T} \rightarrow \mathbb{R}$ by $f(t)=(t-\alp...")
- 05:48, 10 June 2016 (diff | hist) . . (+20) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 05:47, 10 June 2016 (diff | hist) . . (+24) . . MediaWiki:Sidebar
- 05:47, 10 June 2016 (diff | hist) . . (+372) . . Delta derivative
- 05:45, 10 June 2016 (diff | hist) . . (+44) . . Delta derivative of sum
- 05:45, 10 June 2016 (diff | hist) . . (+44) . . Delta derivative of constant multiple (current)
- 05:45, 10 June 2016 (diff | hist) . . (+44) . . Delta derivative of product (1) (current)
- 05:44, 10 June 2016 (diff | hist) . . (+44) . . Delta derivative of product (2) (current)
- 05:44, 10 June 2016 (diff | hist) . . (+55) . . Delta derivative of quotient (current)
- 05:44, 10 June 2016 (diff | hist) . . (+62) . . Delta derivative of quotient
- 05:41, 10 June 2016 (diff | hist) . . (+579) . . N Delta derivative of reciprocal (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale, $t \in \mathbb{T}^{\kappa}$, $f \colon \mathbb{T} \rightarrow \mathbb{R}$ delta differentiable, and $f(t...")
- 05:41, 10 June 2016 (diff | hist) . . (+2) . . Delta derivative of product (2)
- 05:41, 10 June 2016 (diff | hist) . . (+551) . . N Delta derivative of quotient (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale, $t \in \mathbb{T}^{\kappa}$, $f \colon \mathbb{T} \rightarrow \mathbb{R}$ delta differentiable, and $f(t...")
- 05:37, 10 June 2016 (diff | hist) . . (0) . . Delta derivative of product (2)
- 05:37, 10 June 2016 (diff | hist) . . (+526) . . N Delta derivative of product (2) (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and $f,g \colon \mathbb{T} \rightarrow \mathbb{R}$ delta differentiable. Then the product function $fg$ i...")
- 05:36, 10 June 2016 (diff | hist) . . (-1) . . Delta derivative of constant multiple
- 05:36, 10 June 2016 (diff | hist) . . (-40) . . Delta derivative of constant multiple
- 05:35, 10 June 2016 (diff | hist) . . (+1) . . Delta derivative of product (1)
- 05:35, 10 June 2016 (diff | hist) . . (+534) . . N Delta derivative of product (1) (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and $f,g \colon \mathbb{T} \rightarrow \mathbb{R}$ delta differentiable. Then the product function $fg$ i...")
- 05:34, 10 June 2016 (diff | hist) . . (+521) . . N Delta derivative of constant multiple (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and $f,g \colon \mathbb{T} \rightarrow \mathbb{R}$ delta differentiable. Then the product function $fg$ i...")
- 05:31, 10 June 2016 (diff | hist) . . (+517) . . N Delta derivative of sum (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale and let $f,g \colon \mathbb{T} \rightarrow \mathbb{R}$ be delta differentiable at $t$. Then the function ...")
- 05:28, 10 June 2016 (diff | hist) . . (+6) . . Delta derivative at right-dense
- 05:27, 10 June 2016 (diff | hist) . . (+6) . . Delta simple useful formula
- 05:26, 10 June 2016 (diff | hist) . . (+173) . . Delta simple useful formula
- 05:24, 10 June 2016 (diff | hist) . . (+6) . . Delta derivative at right-dense
- 05:24, 10 June 2016 (diff | hist) . . (+5) . . Delta derivative at right-scattered
- 05:24, 10 June 2016 (diff | hist) . . (+1) . . Delta differentiable implies continuous
- 05:24, 10 June 2016 (diff | hist) . . (+3) . . Delta differentiable implies continuous
- 05:23, 10 June 2016 (diff | hist) . . (+504) . . N Delta derivative at right-dense (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale, $t \in \mathbb{T}$ be right-dense. Then $f \colon \mathbb{T} \rightarrow \mathbb{R}$ is delta derivative|delta differen...")
- 05:19, 10 June 2016 (diff | hist) . . (0) . . Delta differentiable implies continuous
- 05:19, 10 June 2016 (diff | hist) . . (0) . . m Delta derivative at right-scattered (Tom moved page Delta derivative at right scattered to Delta derivative at right-scattered)
- 05:19, 10 June 2016 (diff | hist) . . (+49) . . N Delta derivative at right scattered (Tom moved page Delta derivative at right scattered to Delta derivative at right-scattered) (current)
- 05:19, 10 June 2016 (diff | hist) . . (+218) . . Delta derivative at right-scattered
- 05:18, 10 June 2016 (diff | hist) . . (+4) . . Delta derivative
- 05:17, 10 June 2016 (diff | hist) . . (0) . . m Delta differentiable implies continuous (Tom moved page Delta derivative implies continuous to Delta differentiable implies continuous)
- 05:17, 10 June 2016 (diff | hist) . . (+53) . . N Delta derivative implies continuous (Tom moved page Delta derivative implies continuous to Delta differentiable implies continuous) (current)
- 05:17, 10 June 2016 (diff | hist) . . (-161) . . Delta derivative
- 05:16, 10 June 2016 (diff | hist) . . (+359) . . N Delta derivative at right-scattered (Created page with "==Theorem== Let $\mathbb{T}$ be a time scale. Let $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be continuous and right-scattered at $t \in \mathbb{T}$. Then $$f^{\...")
- 05:13, 10 June 2016 (diff | hist) . . (+35) . . Delta differentiable implies continuous
- 05:12, 10 June 2016 (diff | hist) . . (-2,305) . . Delta derivative
- 05:10, 10 June 2016 (diff | hist) . . (+16) . . Induction on time scales (current)
- 05:09, 10 June 2016 (diff | hist) . . (+21) . . Induction on time scales
- 03:23, 10 June 2016 (diff | hist) . . (+169) . . Forward jump
- 03:23, 10 June 2016 (diff | hist) . . (+7,615) . . N Template:BookReference (Created page with "<!-- This excerpt is here for ease of understanding the wiki code for author refs. Might be expanded to aid readability of the book reference as well. {{AuthorRef|{{{3}}}}} {...") (current)
- 03:19, 10 June 2016 (diff | hist) . . (+1,956) . . Book:Martin Bohner/Dynamic Equations on Time Scales
- 03:11, 10 June 2016 (diff | hist) . . (+203) . . N Book:Martin Bohner/Dynamic Equations on Time Scales (Created page with "{{Book|Dynamic Equations on Time Scales||||Martin Bohner|author2=Allan Peterson}} ===Online versions=== [http://web.mst.edu/~bohner/sample.pdf Chapters 1-3 hosted by Martin B...")
- 03:11, 10 June 2016 (diff | hist) . . (+392) . . N Template:AuthorRef (Created page with "<noinclude> This template is to be used to provide a link to the authorship of an entry from (mainly) the Books page. It can be called by: * <code><nowiki>{{Au...") (current)
- 03:10, 10 June 2016 (diff | hist) . . (+3,208) . . N Template:Book (Created page with "<noinclude> This template is used to provide a standard header for a book or other publication. Can be called by: * <code><nowiki>{{Book|Name of book|Year of publication|Publ...") (current)
- 02:42, 10 June 2016 (diff | hist) . . (-125) . . Derivative of delta sinh (current)
- 02:00, 10 June 2016 (diff | hist) . . (+33) . . Delta sine
- 01:59, 10 June 2016 (diff | hist) . . (-24) . . Delta sine
- 01:59, 10 June 2016 (diff | hist) . . (-144) . . Relationship between delta hk and delta gk
- 01:58, 10 June 2016 (diff | hist) . . (-118) . . Zeros of delta gk (current)
- 22:22, 9 June 2016 (diff | hist) . . (-161) . . Relationship between nabla exponential and delta exponential (current)
- 22:22, 9 June 2016 (diff | hist) . . (-161) . . Relationship between delta exponential and nabla exponential (current)
- 22:21, 9 June 2016 (diff | hist) . . (-151) . . Quotient of delta exponentials with fixed t and s (current)
- 22:21, 9 June 2016 (diff | hist) . . (-150) . . Product of delta exponentials with fixed t and s (current)
- 22:20, 9 June 2016 (diff | hist) . . (-133) . . Reciprocal of delta exponential (current)
- 22:20, 9 June 2016 (diff | hist) . . (-123) . . Delta simple useful formula
- 22:19, 9 June 2016 (diff | hist) . . (-128) . . Delta exponential with t=s (current)
- 21:31, 9 June 2016 (diff | hist) . . (-128) . . Delta exponential with p=0 (current)
- 21:31, 9 June 2016 (diff | hist) . . (-141) . . Semigroup property of delta exponential
- 21:30, 9 June 2016 (diff | hist) . . (-161) . . Delta hyperbolic trigonometric second order dynamic equation (current)
- 21:30, 9 June 2016 (diff | hist) . . (-128) . . Delta cosh minus delta sinh (current)
- 21:29, 9 June 2016 (diff | hist) . . (-125) . . Derivative of delta cosh (current)
- 21:29, 9 June 2016 (diff | hist) . . (0) . . Delta cosine (→Properties)
- 21:29, 9 June 2016 (diff | hist) . . (0) . . Delta cosine (→Properties)
- 21:28, 9 June 2016 (diff | hist) . . (-126) . . Derivative of Delta sine (current)
- 21:28, 9 June 2016 (diff | hist) . . (-150) . . Sum of squares of delta cosine and delta sine (current)
- 21:27, 9 June 2016 (diff | hist) . . (+42) . . Derivative of delta cosine
- 21:26, 9 June 2016 (diff | hist) . . (-171) . . Derivative of delta cosine
- 21:25, 9 June 2016 (diff | hist) . . (+50) . . Delta sinh
- 21:24, 9 June 2016 (diff | hist) . . (+40) . . Delta sine
- 21:24, 9 June 2016 (diff | hist) . . (+30) . . Delta hk
- 21:24, 9 June 2016 (diff | hist) . . (+30) . . Delta gk
- 21:23, 9 June 2016 (diff | hist) . . (+5) . . Delta hk
- 21:23, 9 June 2016 (diff | hist) . . (+10) . . Delta gk
- 21:23, 9 June 2016 (diff | hist) . . (+10) . . Delta exponential
- 21:22, 9 June 2016 (diff | hist) . . (+80) . . Delta exponential
- 21:21, 9 June 2016 (diff | hist) . . (+45) . . Delta cosh
- 21:21, 9 June 2016 (diff | hist) . . (+16) . . Delta cosine
- 07:16, 8 June 2016 (diff | hist) . . (-25) . . MediaWiki:Sidebar
- 23:00, 2 June 2016 (diff | hist) . . (+170) . . Delta cpq
- 23:00, 2 June 2016 (diff | hist) . . (+551) . . N Derivative of alternative delta sine (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a [[time scale]...")
- 22:59, 2 June 2016 (diff | hist) . . (-9) . . Derivative of alternative delta cosine
- 22:58, 2 June 2016 (diff | hist) . . (+562) . . N Derivative of alternative delta cosine (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a ...")
- 22:57, 2 June 2016 (diff | hist) . . (+2) . . Pythagorean identity for alternate delta trigonometric functions
- 22:57, 2 June 2016 (diff | hist) . . (+534) . . N Pythagorean identity for alternate delta trigonometric functions (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\m...")
- 22:55, 2 June 2016 (diff | hist) . . (+170) . . Delta spq
- 22:53, 2 June 2016 (diff | hist) . . (+337) . . N Delta spq (Created page with "Let $\mathbb{T}$ be a time scale and let $p$ and $q$ be rd-continuous functions that satisfy the relation $2p(t)+\mu(t)(p(t)^2+q(t)^2)=0$. The (alternative) delta sine fun...")
- 22:52, 2 June 2016 (diff | hist) . . (+32) . . Delta cpq
- 22:52, 2 June 2016 (diff | hist) . . (+300) . . N Delta cpq (Created page with "Let $\mathbb{T}$ be a time scale and let $p$ and $q$ be rd-continuous functions that satisfy the relation $2p(t)+\mu(t)(p(t)^2+q(t)^2)=0$. The (alternative) cosine functio...")
- 22:49, 2 June 2016 (diff | hist) . . (+24) . . Main Page (→Special functions on time scales)
- 22:48, 2 June 2016 (diff | hist) . . (+112) . . Main Page (→Special functions on time scales)
- 22:39, 2 June 2016 (diff | hist) . . (-76) . . Main Page
- 22:38, 2 June 2016 (diff | hist) . . (-59) . . Main Page (→$\Delta$-calculus)
- 22:38, 2 June 2016 (diff | hist) . . (-31) . . Main Page (→Special functions on time scales)
- 22:37, 2 June 2016 (diff | hist) . . (0) . . Delta sinh
- 22:37, 2 June 2016 (diff | hist) . . (-31) . . Delta sinh
- 22:36, 2 June 2016 (diff | hist) . . (+17) . . Delta sinh
- 22:35, 2 June 2016 (diff | hist) . . (+16) . . Delta sine
- 22:34, 2 June 2016 (diff | hist) . . (+17) . . Delta exponential
- 22:33, 2 June 2016 (diff | hist) . . (+17) . . Delta cosh
- 22:32, 2 June 2016 (diff | hist) . . (-1) . . Delta cosine
- 22:32, 2 June 2016 (diff | hist) . . (-2) . . Delta cosine (→See Also)
- 22:32, 2 June 2016 (diff | hist) . . (-13) . . Delta cosine
- 22:32, 2 June 2016 (diff | hist) . . (+87) . . Delta cosine
- 22:31, 2 June 2016 (diff | hist) . . (+17) . . Delta gk
- 22:26, 2 June 2016 (diff | hist) . . (+127) . . Delta special functions footer
- 22:26, 2 June 2016 (diff | hist) . . (+1,055) . . N File:Integerdeltagk,k=2,s=0glyph.png (Category:deltagkglyph Category:glyph Category:timescale:integers Category:deltagk <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4...) (current)
- 22:22, 2 June 2016 (diff | hist) . . (+1,055) . . N File:Integerdeltagk,k=3,s=0glyph.png (Category:deltagkglyph Category:glyph Category:timescale:integers Category:deltagk <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4...) (current)
- 22:19, 2 June 2016 (diff | hist) . . (+1,061) . . N File:Integergk,k=4,s=0plot.png (Category:plot Category:deltagk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 22:17, 2 June 2016 (diff | hist) . . (+64) . . Delta gk
- 22:16, 2 June 2016 (diff | hist) . . (+1,102) . . N File:Integergk,k=5,s=0plot.png (Category:plot Category:deltaexponential Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figs...) (current)
- 22:15, 2 June 2016 (diff | hist) . . (0) . . File:Integerhk,k=5,s=0plot.png (Tom uploaded a new version of "File:Integerhk,k=5,s=0plot.png") (current)
- 22:11, 2 June 2016 (diff | hist) . . (+62) . . Delta gk
- 19:24, 2 June 2016 (diff | hist) . . (+63) . . Delta gk
- 19:24, 2 June 2016 (diff | hist) . . (+1,040) . . N File:Integergk,k=2,s=0plot.png (Category:plot Category:deltagk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 19:18, 2 June 2016 (diff | hist) . . (+115) . . Delta gk
- 19:17, 2 June 2016 (diff | hist) . . (+1,051) . . N File:Integergk,k=3,s=0plot.png (Category:plot Category:deltagk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 19:00, 2 June 2016 (diff | hist) . . (+5) . . File:Integerdeltahk,k=3,s=0glyph.png (current)
- 19:00, 2 June 2016 (diff | hist) . . (+17) . . Delta hk
- 18:59, 2 June 2016 (diff | hist) . . (+981) . . N File:Integerdeltahk,k=3,s=0glyph.png (Category:deltahk Category:glyph Category:timescale:integers Category:deltahk <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4...)
- 18:58, 2 June 2016 (diff | hist) . . (+148) . . Delta special functions footer
- 18:56, 2 June 2016 (diff | hist) . . (+990) . . N File:Integerdeltahk,k=2,s=0glyph.png (Category:deltahkglyph Category:glyph Category:timescale:integers Category:deltahk <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2....) (current)
- 18:48, 2 June 2016 (diff | hist) . . (+17) . . Main Page (→$\Delta$-calculus)
- 20:21, 1 June 2016 (diff | hist) . . (0) . . Delta hk
- 20:21, 1 June 2016 (diff | hist) . . (+30) . . Delta hk
- 20:19, 1 June 2016 (diff | hist) . . (-18) . . Delta special functions footer
- 20:18, 1 June 2016 (diff | hist) . . (+53) . . Main Page
- 20:18, 1 June 2016 (diff | hist) . . (-172) . . Main Page (→$\Delta$-calculus)
- 20:18, 1 June 2016 (diff | hist) . . (-56) . . Delta special functions footer
- 20:12, 1 June 2016 (diff | hist) . . (+18) . . Main Page (→Calculus on time scales)
- 20:10, 1 June 2016 (diff | hist) . . (+47) . . Relationship between delta hk and delta gk
- 20:10, 1 June 2016 (diff | hist) . . (+62) . . Delta hk
- 20:09, 1 June 2016 (diff | hist) . . (+439) . . N Relationship between delta hk and delta gk (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale, let $t,s \in \mathbb{T}$, and let $k$ ...")
- 20:07, 1 June 2016 (diff | hist) . . (+48) . . Delta gk
- 20:06, 1 June 2016 (diff | hist) . . (+19) . . Zeros of delta gk
- 20:05, 1 June 2016 (diff | hist) . . (0) . . Zeros of delta gk
- 20:04, 1 June 2016 (diff | hist) . . (+469) . . N Zeros of delta gk (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale, let $t,s \in \mathbb...")
- 20:04, 1 June 2016 (diff | hist) . . (+247) . . Delta gk
- 20:00, 1 June 2016 (diff | hist) . . (+73) . . Delta hk
- 19:57, 1 June 2016 (diff | hist) . . (+302) . . Delta hk
- 19:55, 1 June 2016 (diff | hist) . . (+647) . . N File:Integerhk,k=5,s=0plot.png (Category:plot Category:deltahk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...)
- 19:55, 1 June 2016 (diff | hist) . . (+647) . . N File:Integerhk,k=4,s=0plot.png (Category:plot Category:deltahk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 19:55, 1 June 2016 (diff | hist) . . (+647) . . N File:Integerhk,k=3,s=0plot.png (Category:plot Category:deltahk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 19:54, 1 June 2016 (diff | hist) . . (+647) . . N File:Integerhk,k=2,s=0plot.png (Category:plot Category:deltahk Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 1...) (current)
- 19:40, 1 June 2016 (diff | hist) . . (+103) . . Delta special functions footer
- 19:40, 1 June 2016 (diff | hist) . . (0) . . File:Integerdeltasinhglyph,a=0.6,s=0glyph.png (current)
- 19:39, 1 June 2016 (diff | hist) . . (+1,113) . . N File:Integerdeltasinhglyph,a=0.6,s=0glyph.png (Category:deltasineglyph Category:glyph Category:timescale:integers Category:deltasine <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] =...)
- 19:32, 1 June 2016 (diff | hist) . . (+103) . . Delta special functions footer
- 19:31, 1 June 2016 (diff | hist) . . (+1,107) . . N File:Integerdeltacosh,a=0.6,s=0glyph.png (Category:deltacoshglyph Category:glyph Category:timescale:integers Category:deltacosh <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] =...) (current)
- 08:08, 1 June 2016 (diff | hist) . . (+90) . . Delta exponential
- 08:07, 1 June 2016 (diff | hist) . . (0) . . Delta exponential
- 08:02, 1 June 2016 (diff | hist) . . (+130) . . Delta sinh
- 08:01, 1 June 2016 (diff | hist) . . (+836) . . N File:Integerdeltasinh,a=0.6,s=0plot.png (Category:plot Category:deltasinh Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] =...) (current)
- 07:57, 1 June 2016 (diff | hist) . . (+126) . . Delta cosh
- 07:55, 1 June 2016 (diff | hist) . . (+798) . . N File:Integercosh,a=0.6,s=0plot.png (Category:plot Category:deltaexponential Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figs...) (current)
- 07:54, 1 June 2016 (diff | hist) . . (+34) . . Format notes (→Categories) (current)
- 07:54, 1 June 2016 (diff | hist) . . (-9) . . Format notes (→Categories)
- 07:48, 1 June 2016 (diff | hist) . . (+108) . . Delta special functions footer
- 07:47, 1 June 2016 (diff | hist) . . (+4) . . File:Integerdeltacosine,a=0.6,s=0glyph.png (current)
- 07:46, 1 June 2016 (diff | hist) . . (+1,158) . . N File:Integerdeltacosine,a=0.6,s=0glyph.png (Category:deltasineglyph Category:glyph Category:timescale:integers Category:deltasine <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] =...)
- 07:45, 1 June 2016 (diff | hist) . . (+116) . . Format notes (→Categories)
- 07:25, 1 June 2016 (diff | hist) . . (+5) . . File:Integerdeltacosine,a=0.6,s=0plot.png (current)
- 07:25, 1 June 2016 (diff | hist) . . (0) . . m File:Integerdeltacosine,a=0.6,s=0plot.png (Tom moved page File:Integercosine,a=0.6,s=0plot.png to File:Integerdeltacosine,a=0.6,s=0plot.png)
- 07:25, 1 June 2016 (diff | hist) . . (+55) . . N File:Integercosine,a=0.6,s=0plot.png (Tom moved page File:Integercosine,a=0.6,s=0plot.png to File:Integerdeltacosine,a=0.6,s=0plot.png) (current)
- 07:24, 1 June 2016 (diff | hist) . . (+132) . . Delta cosine
- 07:24, 1 June 2016 (diff | hist) . . (+909) . . N File:Integerdeltacosine,a=0.6,s=0plot.png (Category:plot Category:deltacosine Category:timescale:integers Category:specialfunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize']...)
- 07:14, 1 June 2016 (diff | hist) . . (-63) . . Delta special functions footer
- 07:14, 1 June 2016 (diff | hist) . . (+106) . . Delta special functions footer
- 07:11, 1 June 2016 (diff | hist) . . (+1,155) . . N File:Integerdeltasine,a=0.6,s=0glyph.png (Category:deltasineglyph Category:glyph Category:timescale:integers Category:deltasine <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] =...) (current)
- 07:00, 1 June 2016 (diff | hist) . . (+132) . . Delta sine
- 07:00, 1 June 2016 (diff | hist) . . (-187) . . Format notes (→Galleries)
- 06:59, 1 June 2016 (diff | hist) . . (+486) . . Format notes
- 06:59, 1 June 2016 (diff | hist) . . (+943) . . N File:Integerdeltasine,a=0.6,s=0plot.png (Category:Plot Category:TimeScaleDeltaExponential Category:TimeScale:Integers Category:SpecialFunction <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['fi...) (current)
- 06:56, 1 June 2016 (diff | hist) . . (+53) . . N File:Integersine,a=0.6,s=0plot.png (Tom moved page File:Integersine,a=0.6,s=0plot.png to File:Integerdeltasine,a=0.6,s=0plot.png) (current)
- 06:55, 1 June 2016 (diff | hist) . . (+29) . . Format notes (→Categories)
- 00:36, 1 June 2016 (diff | hist) . . (+39) . . Delta special functions footer
- 00:33, 1 June 2016 (diff | hist) . . (+1,059) . . N File:Integerdeltaexponential,a=-3,s=0glyph.png (Category:deltaexponentialglyph Category:glyph Category:timeScale:integers Category:deltaexponential <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['fig...) (current)
- 23:57, 31 May 2016 (diff | hist) . . (+95) . . Delta special functions footer
- 23:53, 31 May 2016 (diff | hist) . . (+37) . . Main Page (→$\Delta$-calculus)
- 23:52, 31 May 2016 (diff | hist) . . (+1,050) . . N File:Integerdeltaexponential,a=1,s=0glyph.png (Category:deltaexponentialglyph Category:glyph Category:timeScale:integers Category:deltaexponential <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figu...) (current)
- 23:35, 31 May 2016 (diff | hist) . . (+40) . . Forward circle minus
- 23:35, 31 May 2016 (diff | hist) . . (+425) . . Forward circle minus
- 23:28, 31 May 2016 (diff | hist) . . (0) . . Forward regressive
- 23:28, 31 May 2016 (diff | hist) . . (0) . . m Forward regressive (Tom moved page Regressive function to Forward regressive function)
- 23:28, 31 May 2016 (diff | hist) . . (+41) . . N Regressive function (Tom moved page Regressive function to Forward regressive function) (current)
- 23:28, 31 May 2016 (diff | hist) . . (+21) . . Forward circle minus
- 23:27, 31 May 2016 (diff | hist) . . (+91) . . Forward circle minus
- 23:25, 31 May 2016 (diff | hist) . . (0) . . m Forward circle minus (Tom moved page Circle minus to Forward circle minus)
- 23:25, 31 May 2016 (diff | hist) . . (+34) . . N Circle minus (Tom moved page Circle minus to Forward circle minus) (current)
- 23:24, 31 May 2016 (diff | hist) . . (+40) . . Delta exponential
- 23:20, 31 May 2016 (diff | hist) . . (+33) . . Quotient of delta exponentials with fixed t and s
- 23:20, 31 May 2016 (diff | hist) . . (+33) . . Product of delta exponentials with fixed t and s
- 23:19, 31 May 2016 (diff | hist) . . (+22) . . Reciprocal of delta exponential
- 23:14, 31 May 2016 (diff | hist) . . (+4) . . Semigroup property of delta exponential
- 23:13, 31 May 2016 (diff | hist) . . (+4) . . Delta exponential with p=0
- 23:13, 31 May 2016 (diff | hist) . . (+4) . . Delta exponential with t=s
- 23:13, 31 May 2016 (diff | hist) . . (+4) . . Delta simple useful formula
- 23:13, 31 May 2016 (diff | hist) . . (-357) . . Delta exponential
- 23:12, 31 May 2016 (diff | hist) . . (+517) . . N Quotient of delta exponentials with fixed t and s (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a ...")
- 23:11, 31 May 2016 (diff | hist) . . (-266) . . Delta exponential
- 23:09, 31 May 2016 (diff | hist) . . (-2) . . Reciprocal of delta exponential
- 23:09, 31 May 2016 (diff | hist) . . (-4) . . Reciprocal of delta exponential
- 23:09, 31 May 2016 (diff | hist) . . (-4) . . Product of delta exponentials with fixed t and s
- 23:09, 31 May 2016 (diff | hist) . . (+564) . . N Product of delta exponentials with fixed t and s (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a [...")
- 23:07, 31 May 2016 (diff | hist) . . (-256) . . Delta exponential
- 23:06, 31 May 2016 (diff | hist) . . (+525) . . N Reciprocal of delta exponential (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale, le...")
- 23:04, 31 May 2016 (diff | hist) . . (-272) . . Delta exponential
- 23:03, 31 May 2016 (diff | hist) . . (0) . . m Delta simple useful formula (Tom moved page Simple useful formula to Delta simple useful formula)
- 23:03, 31 May 2016 (diff | hist) . . (+41) . . N Simple useful formula (Tom moved page Simple useful formula to Delta simple useful formula) (current)
- 23:03, 31 May 2016 (diff | hist) . . (+6) . . Delta exponential
- 23:02, 31 May 2016 (diff | hist) . . (+584) . . N Delta simple useful formula (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale, $t,s \in \ma...")
- 23:00, 31 May 2016 (diff | hist) . . (-342) . . Delta exponential
- 22:58, 31 May 2016 (diff | hist) . . (-76) . . Delta exponential
- 22:56, 31 May 2016 (diff | hist) . . (+447) . . N Delta exponential with t=s (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale, $t \in ...")
- 22:55, 31 May 2016 (diff | hist) . . (+381) . . N Delta exponential with p=0 (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time scale and $t,s...")
- 22:52, 31 May 2016 (diff | hist) . . (-235) . . Delta exponential
- 22:51, 31 May 2016 (diff | hist) . . (+6) . . Delta exponential
- 22:51, 31 May 2016 (diff | hist) . . (+11) . . Delta exponential
- 22:51, 31 May 2016 (diff | hist) . . (+103) . . Delta exponential
- 22:49, 31 May 2016 (diff | hist) . . (+11) . . Semigroup property of delta exponential
- 22:48, 31 May 2016 (diff | hist) . . (+2) . . Semigroup property of delta exponential
- 22:48, 31 May 2016 (diff | hist) . . (0) . . Semigroup property of delta exponential
- 22:48, 31 May 2016 (diff | hist) . . (+504) . . N Semigroup property of delta exponential (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $\mathbb{T}$ be a time sca...")
- 22:46, 31 May 2016 (diff | hist) . . (-269) . . Delta exponential
- 22:45, 31 May 2016 (diff | hist) . . (+9) . . Delta exponential
- 22:45, 31 May 2016 (diff | hist) . . (+72) . . Delta exponential
- 22:44, 31 May 2016 (diff | hist) . . (+1,027) . . N File:Integerexponential,a=2,s=1plot.png (Category:Plot Category:TimeScaleDeltaExponential Category:TimeScale:Integers <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=n...) (current)
- 22:37, 31 May 2016 (diff | hist) . . (+1,025) . . N File:Integerexponential,a=2,s=0plot.png (Category:Plot Category:TimeScaleDeltaExponential Category:TimeScale:Integers <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=n...) (current)
- 22:32, 31 May 2016 (diff | hist) . . (+72) . . Delta exponential
- 22:29, 31 May 2016 (diff | hist) . . (-1) . . Delta exponential
- 22:29, 31 May 2016 (diff | hist) . . (+124) . . Delta exponential
- 22:24, 31 May 2016 (diff | hist) . . (+116) . . Format notes
- 22:24, 31 May 2016 (diff | hist) . . (+5) . . File:Integerexponential,a=2,s=-1plot.png (current)
- 22:23, 31 May 2016 (diff | hist) . . (+32) . . File:Integerexponential,a=2,s=-1plot.png
- 22:23, 31 May 2016 (diff | hist) . . (+962) . . N File:Integerexponential,a=2,s=-1plot.png (Category:Plot Category:TimeScaleExponential <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=np.arange(-3,4,1); x2=np.arange(-20,20,...)
- 22:02, 31 May 2016 (diff | hist) . . (-8) . . Time scale
- 22:00, 31 May 2016 (diff | hist) . . (-105) . . Delta exponential
- 21:59, 31 May 2016 (diff | hist) . . (+10) . . Delta exponential
- 01:12, 5 April 2016 (diff | hist) . . (+5) . . Main Page (→$\nabla$-calculus)
- 01:10, 5 April 2016 (diff | hist) . . (-14) . . Main Page (→$\nabla$-calculus)
- 01:05, 5 April 2016 (diff | hist) . . (-7) . . Main Page (→$\Delta$-calculus)
- 01:04, 5 April 2016 (diff | hist) . . (-14) . . Main Page (→$\Delta$-calculus)
- 05:30, 16 March 2016 (diff | hist) . . (+131) . . Main Page
- 05:53, 27 February 2016 (diff | hist) . . (-456) . . Delta derivative
- 05:06, 26 February 2016 (diff | hist) . . (-46) . . Main Page (→Special functions on time scales)
- 22:47, 23 February 2016 (diff | hist) . . (-754) . . Time scale
- 22:41, 23 February 2016 (diff | hist) . . (+42) . . Nth root of nonnegative integers
- 22:39, 23 February 2016 (diff | hist) . . (+32) . . Right dense point
- 22:38, 23 February 2016 (diff | hist) . . (+191) . . N Right scattered point (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is a right scattered point if $\sigma(t)>t$. We say that $t$ is left scattered if $\rho(t)<t$. =See Also=...")
- 22:37, 23 February 2016 (diff | hist) . . (+21) . . Main Page (→Calculus on time scales)
- 22:32, 23 February 2016 (diff | hist) . . (+119) . . Closure of unit fractions (current)
- 22:29, 23 February 2016 (diff | hist) . . (+84) . . N Cantor set (Created page with "The [http://hyperspacewiki.org/index.php/Cantor_set Cantor set] is a time scale.") (current)
- 22:29, 23 February 2016 (diff | hist) . . (+16) . . Time scales footer (current)
- 22:27, 23 February 2016 (diff | hist) . . (+76) . . Nth root of nonnegative integers
- 22:22, 23 February 2016 (diff | hist) . . (+97) . . Nth root of nonnegative integers
- 22:18, 23 February 2016 (diff | hist) . . (+17) . . Nth root of nonnegative integers
- 22:18, 23 February 2016 (diff | hist) . . (+75) . . Nth root of nonnegative integers
- 22:16, 23 February 2016 (diff | hist) . . (+4,645) . . N Nth root of nonnegative integers (Created page with "The set $\sqrt[n]{\mathbb{N}_0}=\{0,1,\sqrt[n]{2}, \sqrt[n]{3},\ldots\}$ is a time scale. {| class="wikitable" |+$\mathbb{T}=\sqrt[n]{\mathbb{N}}$ |- |Forward jump: |...")
- 22:13, 23 February 2016 (diff | hist) . . (-3) . . Time scales footer
- 22:00, 19 February 2016 (diff | hist) . . (+754) . . Jackson logarithm (→Properties)
- 04:14, 19 February 2016 (diff | hist) . . (+387) . . N Pre-differentiable (Created page with "Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. We say that $f$ is pre-differentiable with region of differentiation $D \subset \mat...")
- 04:00, 19 February 2016 (diff | hist) . . (+24) . . Main Page (→Calculus on time scales)
- 03:59, 19 February 2016 (diff | hist) . . (+282) . . Rd-continuous
- 03:57, 19 February 2016 (diff | hist) . . (+363) . . N Rd-continuous (Created page with "Let $\mathbb{T}$ be a time scale and $f \colon \mathbb{T} \rightarrow \mathbb{R}$ be a regulated function. We say that $f$ is rd-continuous if for any dense point|ri...")
- 03:55, 19 February 2016 (diff | hist) . . (+19) . . Main Page (→Calculus on time scales)
- 03:54, 19 February 2016 (diff | hist) . . (+17) . . Main Page (→Calculus on time scales)
- 03:53, 19 February 2016 (diff | hist) . . (+244) . . N Right dense point (Created page with "Let $\mathbb{T}$ be a time scale. We say that $t \in \mathbb{T}$ is right dense if the forward jump operator obeys the formula $\sigma(t)=t$. We say that $t$ is left d...")
- 03:52, 19 February 2016 (diff | hist) . . (+352) . . N Regulated (Created page with "Let $\mathbb{T}$ be a time scale and let $f \colon \mathbb{T} \rightarrow \mathbb{R}$. We say that $f$ is regulated if for all right dense points $t_1 \in ...")
- 03:49, 19 February 2016 (diff | hist) . . (+24) . . Main Page (→Calculus on time scales)
- 01:32, 19 February 2016 (diff | hist) . . (+185) . . Time scales footer
- 01:26, 19 February 2016 (diff | hist) . . (+78) . . Time scales footer
- 01:24, 19 February 2016 (diff | hist) . . (+81) . . Time scales footer
- 01:23, 19 February 2016 (diff | hist) . . (0) . . m Euler-Cauchy logarithm (Tom moved page Euler-Cauchy logarithm to Cauchy-Euler logarithm)
- 01:14, 19 February 2016 (diff | hist) . . (+164) . . Integers (current)
- 01:13, 19 February 2016 (diff | hist) . . (+77) . . N Derivation of delta exponential T=Z (Created page with "The proof is the same as Derivation of delta exponential T=hZ with $h=1$.") (current)
- 18:42, 8 February 2016 (diff | hist) . . (+448) . . Shifting problem
- 18:41, 8 February 2016 (diff | hist) . . (-386) . . Unilateral convolution
- 18:37, 8 February 2016 (diff | hist) . . (0) . . Unilateral convolution
- 18:36, 8 February 2016 (diff | hist) . . (+2) . . Unilateral convolution
- 18:35, 8 February 2016 (diff | hist) . . (+33) . . Unilateral convolution
- 18:35, 8 February 2016 (diff | hist) . . (+34) . . Shifting problem
- 14:35, 8 February 2016 (diff | hist) . . (+443) . . Shifting problem
- 14:33, 8 February 2016 (diff | hist) . . (+390) . . Unilateral convolution
- 14:07, 8 February 2016 (diff | hist) . . (+2,170) . . Unilateral convolution
- 06:12, 8 February 2016 (diff | hist) . . (-332) . . Unilateral convolution
- 06:12, 8 February 2016 (diff | hist) . . (+1,438) . . N Unilateral convolution (Created page with "Let $f,g \colon \mathbb{R} \rightarrow \mathbb{R}$ be Lebesgue integrable on $\mathbb{R}$. The classical (i.e. time scale $\mathbb{T}=\mathbb{R}$) convolution of $f$ a...")
- 06:06, 8 February 2016 (diff | hist) . . (+22) . . Main Page (→Calculus on time scales)
- 06:05, 8 February 2016 (diff | hist) . . (+520) . . N Shifting problem (Created page with "Let $\mathbb{T}$ be a time scale, $t_0 \in \mathbb{T}$, and $f \colon [t_0,\infty) \cap \mathbb{T} \rightarrow \mathbb{C}$. The shifting problem is the following partial dyn...")
- 05:46, 8 February 2016 (diff | hist) . . (+17) . . Main Page (→Calculus on time scales)
- 18:17, 29 January 2016 (diff | hist) . . (+34) . . Timescalewiki:About (current)
- 20:18, 29 December 2015 (diff | hist) . . (+74) . . Marks-Gravagne-Davis Fourier transform
- 20:17, 29 December 2015 (diff | hist) . . (+422) . . Marks-Gravagne-Davis Fourier transform
- 20:06, 29 December 2015 (diff | hist) . . (+40) . . Forward circle plus (→Properties)
- 20:05, 29 December 2015 (diff | hist) . . (+377) . . N Circle minus inverse of circle plus (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The circle minus $\ominus_h$ is ...")
- 20:05, 29 December 2015 (diff | hist) . . (-297) . . Forward circle minus (→Properties)
- 20:04, 29 December 2015 (diff | hist) . . (+498) . . N Forward circle minus (Created page with "Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$, the Hilger complex plane. We define the $\ominus_h$ operation by $$\ominus_h z = \dfrac{-z}{1+zh}.$$ =Properties= <div class="to...")
- 20:02, 29 December 2015 (diff | hist) . . (+60) . . Hilger pure imaginary
- 20:02, 29 December 2015 (diff | hist) . . (+60) . . Forward circle plus (→Properties)
- 20:02, 29 December 2015 (diff | hist) . . (+59) . . Hilger imaginary part (→Properties)
- 20:01, 29 December 2015 (diff | hist) . . (+110) . . Hilger real part oplus Hilger imaginary part equals z
- 20:00, 29 December 2015 (diff | hist) . . (+409) . . N Forward circle plus (Created page with "Let $h>0$ and $z_1,z_2 \in \mathbb{C}_h$, the Hilger complex plane. Then we define the $\oplus_h$ operation by $$z_1 \oplus_h z_2 = z_1+z_2+z_1 z_2h.$$ =Properties= <div ...")
- 19:58, 29 December 2015 (diff | hist) . . (+35) . . Main Page (→Calculus on time scales)
- 19:57, 29 December 2015 (diff | hist) . . (+461) . . N Hilger real part oplus Hilger imaginary part equals z (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The following formula holds: $$z = \mathrm{Re}_h(z) \oplus \mathring{\iota} ...")
- 19:56, 29 December 2015 (diff | hist) . . (+59) . . Hilger real part
- 19:55, 29 December 2015 (diff | hist) . . (+59) . . Hilger imaginary part (→Properties)
- 19:54, 29 December 2015 (diff | hist) . . (+128) . . Limit of Hilger real and imag parts yields classical
- 19:54, 29 December 2015 (diff | hist) . . (+411) . . N Limit of Hilger real and imag parts yields classical (Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The following formu...")
- 19:53, 29 December 2015 (diff | hist) . . (+59) . . Hilger real part
- 19:52, 29 December 2015 (diff | hist) . . (+310) . . Hilger imaginary part
- 19:51, 29 December 2015 (diff | hist) . . (+297) . . Hilger real part
- 19:49, 29 December 2015 (diff | hist) . . (+322) . . Hilger pure imaginary
- 19:46, 29 December 2015 (diff | hist) . . (+154) . . N Hilger real part (Created page with "Let $h>0$ and let $z \in \mathbb{C}_h$, the Hilger complex plane. The Hilger real part of $z$ is defined by $$\mathrm{Re}_h(z)=\dfrac{|zh+1|-1}{h}.$$")
- 19:45, 29 December 2015 (diff | hist) . . (+269) . . N Hilger imaginary part (Created page with "Let $h>0$ and let $z \in \mathbb{C}_h$, the Hilger complex plane. The Hilger imaginary part of $z$ is defined by $$\mathrm{Im}_h(z)=\dfrac{\mathrm{Arg}(zh+1)}{h},$$ where ...")
- 19:44, 29 December 2015 (diff | hist) . . (+49) . . Main Page (→Calculus on time scales)
- 19:43, 29 December 2015 (diff | hist) . . (+221) . . N Hilger circle (Created page with "Let $h>0$. The Hilger imaginary circle is defined by $$\mathbb{I}_h = \left\{ z \in \mathbb{C}_h \colon \left| z + \dfrac{1}{h} \right| = \dfrac{1}{h} \right\},$$ where $\math...")
- 19:41, 29 December 2015 (diff | hist) . . (+5) . . Hilger alternating axis
- 19:41, 29 December 2015 (diff | hist) . . (+188) . . N Hilger alternating axis (Created page with "The Hilger alternating axis is defined by $$\mathbb{A}_h = \{z \in \mathbb{C}_h \colon z \in \mathbb{R}, z < -\dfrac{1}{h} \right\},$$ where $\mathbb{C}_h$ is the Hilger com...")
- 19:41, 29 December 2015 (diff | hist) . . (+197) . . N Hilger real axis (Created page with "Let $h>0$. We define the Hilger real axis by $$\mathbb{R}_h = \left\{ z \in \mathbb{C}_h \colon z \in \mathbb{R}, z > -\dfrac{1}{h} \right\},$$ where $\mathbb{C}_h$ is the H...")
- 19:40, 29 December 2015 (diff | hist) . . (+141) . . N Hilger complex plane (Created page with "Let $h>0$ be fixed. We define the Hilger complex plane to be $$\mathbb{C}_h = \left\{ z \in \mathbb{C} \colon z \neq \dfrac{1}{h} \right\}.$$")
- 19:39, 29 December 2015 (diff | hist) . . (+96) . . Main Page (→Calculus on time scales)
- 19:38, 29 December 2015 (diff | hist) . . (+24) . . Main Page (→Calculus on time scales)
- 19:38, 29 December 2015 (diff | hist) . . (+371) . . Hilger pure imaginary
- 19:36, 29 December 2015 (diff | hist) . . (+243) . . N Hilger pure imaginary (Created page with "Let $h>0$ be fixed. The Hilger pure imaginary numbers, $\mathring{\iota} \omega$, where $-\dfrac{\pi}{h} < \omega \leq \dfrac{\pi}{h}$ is defined by the formula $$\mathring{\i...")
- 19:17, 29 December 2015 (diff | hist) . . (+27) . . Main Page (→Calculus on time scales)
- 19:17, 29 December 2015 (diff | hist) . . (+81) . . N Marks-Gravagne-Davis Fourier transform (Created page with " =References= [http://web.ecs.baylor.edu/faculty/gravagnei/archived/Fourier.pdf]")
- 19:15, 29 December 2015 (diff | hist) . . (+146) . . Dilation of time scales
- 19:14, 29 December 2015 (diff | hist) . . (+329) . . N Dilation of time scales (Created page with "Let $\mathbb{T}_1$ and $\mathbb{T}_2$ be time scales. Their dilation, $\mathbb{T}_1 \oplus \mathbb{T}_2$, is a time scale defined by $$\mathbb{T}_1 \oplus \mat...")
- 19:12, 29 December 2015 (diff | hist) . . (+29) . . Main Page (→Calculus on time scales)
- 21:16, 30 November 2015 (diff | hist) . . (-1) . . Delta sinh
- 04:19, 30 September 2015 (diff | hist) . . (+18) . . Delta sine
- 04:19, 30 September 2015 (diff | hist) . . (-2) . . Delta sine
- 04:19, 30 September 2015 (diff | hist) . . (-2) . . Delta sine
- 04:18, 30 September 2015 (diff | hist) . . (-6) . . Delta sine
- 02:12, 9 September 2015 (diff | hist) . . (+65) . . Integers
- 00:49, 9 September 2015 (diff | hist) . . (0) . . Unilateral Laplace transform (→Table of Laplace transforms)
- 00:45, 9 September 2015 (diff | hist) . . (+2) . . Quantum q less than 1 (current)
- 00:45, 9 September 2015 (diff | hist) . . (+2) . . Gaussian bell
- 00:45, 9 September 2015 (diff | hist) . . (-10) . . Gaussian bell
- 00:45, 9 September 2015 (diff | hist) . . (+713) . . Gaussian bell
- 00:43, 9 September 2015 (diff | hist) . . (+21) . . Integers
- 00:38, 9 September 2015 (diff | hist) . . (+98) . . Harmonic numbers (current)
- 00:36, 9 September 2015 (diff | hist) . . (+12) . . Quantum q less than 1
- 00:35, 9 September 2015 (diff | hist) . . (+81) . . Quantum q less than 1
- 00:34, 9 September 2015 (diff | hist) . . (+2) . . Quantum q less than 1
- 00:33, 9 September 2015 (diff | hist) . . (+53) . . Multiples of integers
- 00:30, 9 September 2015 (diff | hist) . . (+127) . . Real numbers
- 00:27, 9 September 2015 (diff | hist) . . (+39) . . Real numbers
- 03:05, 8 September 2015 (diff | hist) . . (-1) . . Closure of unit fractions
- 02:55, 8 September 2015 (diff | hist) . . (-3) . . Forward jump
- 02:55, 8 September 2015 (diff | hist) . . (+23) . . Forward graininess
- 02:50, 8 September 2015 (diff | hist) . . (+164) . . N Backward graininess (Created page with "Let $\mathbb{T}$ be a time scale. The backward graininess function $\nu \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by $$\nu(t) = t-\rho(t).$$")
- 02:49, 8 September 2015 (diff | hist) . . (+212) . . N Backward jump (Created page with "Let $\mathbb{T}$ be a time scale. The backward jump operator $\rho \colon \mathbb{T}^{\kappa} \rightarrow \mathbb{T}$ is defined by the formula $$\rho(t) = \sup \left\{s \...")
- 21:28, 16 August 2015 (diff | hist) . . (-3) . . Closure of unit fractions
- 21:27, 16 August 2015 (diff | hist) . . (+3,744) . . Closure of unit fractions
- 21:26, 16 August 2015 (diff | hist) . . (+3,079) . . Quantum q less than 1
- 03:37, 10 August 2015 (diff | hist) . . (-1,274) . . Quantum q greater than 1
- 03:37, 10 August 2015 (diff | hist) . . (+4,711) . . Quantum q greater than 1
- 22:30, 31 July 2015 (diff | hist) . . (+196) . . N Forward graininess (Created page with "Let $\mathbb{T}$ be a time scale. The forward graininess function $\mu \colon \mathbb{T}^{\kappa}$ is defined by $$\mu(t) = \sigma(t)-t,$$ where $\sigma$ denotes the for...")
- 22:29, 31 July 2015 (diff | hist) . . (+9) . . Forward jump
(newest | oldest) View (newer 500 | older 500) (20 | 50 | 100 | 250 | 500)