Difference between revisions of "Table:Time scale delta sine functions"

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(Created page with "{| class="wikitable" |+Time Scale Cosine Functions |- |$\mathbb{T}$ |$\cos_p(t,s)= $ |- | $\mathbb{R}$ | |- | $\mathbb{Z}$ | |- |Multiples_o...")
 
 
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{| class="wikitable"
 
{| class="wikitable"
|+Time Scale Cosine Functions
+
|+[[Table:Time scale delta sine functions|Time Scale Sine Functions]]
 
|-
 
|-
 
|$\mathbb{T}$
 
|$\mathbb{T}$
|$\cos_p(t,s)=  $
+
|[[Delta sine|$\sin$]]$_p(t,s)=  $
 
|-
 
|-
 
|[[Real_numbers | $\mathbb{R}$]]
 
|[[Real_numbers | $\mathbb{R}$]]
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|-
 
|-
 
|[[Integers | $\mathbb{Z}$]]
 
|[[Integers | $\mathbb{Z}$]]
|
+
|$\dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i}$
 
|-
 
|-
 
|[[Multiples_of_integers | $h\mathbb{Z}$]]
 
|[[Multiples_of_integers | $h\mathbb{Z}$]]

Latest revision as of 18:39, 21 March 2015

Time Scale Sine Functions
$\mathbb{T}$ $\sin$$_p(t,s)= $
$\mathbb{R}$
$\mathbb{Z}$ $\dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i}$
$h\mathbb{Z}$
$\mathbb{Z}^2$
$\overline{q^{\mathbb{Z}}}, q > 1$
$\overline{q^{\mathbb{Z}}}, q < 1$
$\mathbb{H}$