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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| Line 1: | Line 1: | ||
{| class="wikitable" | {| class="wikitable" | ||
| − | |+Time Scale | + | |+Time Scale Sine Functions |
|- | |- | ||
|$\mathbb{T}$ | |$\mathbb{T}$ | ||
| − | |$\ | + | |$\sin_p(t,s)= $ |
|- | |- | ||
|[[Real_numbers | $\mathbb{R}$]] | |[[Real_numbers | $\mathbb{R}$]] | ||
| Line 9: | Line 9: | ||
|- | |- | ||
|[[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 | $h\mathbb{Z}$]] | ||
Revision as of 18:37, 21 March 2015
| $\mathbb{T}$ | $\sin_p(t,s)= $ |
| $\mathbb{R}$ | |
| $\mathbb{Z}$ | $\dfrac{\displaystyle\prod_{k=t_0}^{t-1}1+ip(k) - \displaystyle\prod_{k=t_0}^{t-1}1-ip(k)}{2i}$ |
| $h\mathbb{Z}$ | |
| $\mathbb{Z}^2$ | |
| $\overline{q^{\mathbb{Z}}}, q > 1$ | |
| $\overline{q^{\mathbb{Z}}}, q < 1$ | |
| $\mathbb{H}$ |
