Difference between revisions of "Manuals/calci/BASETHETA"

Revision as of 15:04, 21 December 2016

BASETHETA (Theta)

This function shows the Base theta value.
The basic theta function is defined to be the function Failed to parse (syntax error): {\displaystyle \theta : \mathbb{C} → \mathbb{C}} given by
The function $\theta$ depends on $\tau$ τ .
So for each $\tau \in \mathbb {C}$ τ ∈ C with Im τ > 0 we get a (not necessarily different) basic theta function.
Hence there is a whole family of basic theta functions {θ(τ )}τ∈C,Im τ>0.
But here we assume τ to be fixed, so we have only one basic theta function.
The basic theta function is quasi-periodic.
Base Theta is locally uniformly unordered convergent also basic theta function is an entire function.

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-base
+<div style="font-size:30px">'''BASETHETA (Theta)'''</div><br/>
+*<math> Theta </math> is the angle value.
+==Description==
+*This function shows the Base theta value.
+*The basic theta function is defined to be the function <math>\theta : \mathbb{C} → \mathbb{C}</math> given by
+*The function <math>\theta</math> depends on <math>\tau</math>τ .
+*So for each <math>\tau \in \mathbb{C}</math>τ ∈ C with Im τ > 0 we get a (not necessarily different) basic theta function.
+*Hence there is a whole family of basic theta functions {θ(τ )}τ∈C,Im τ>0.
+*But here we assume τ to be fixed, so we have only one basic theta function.
+*The basic theta function is quasi-periodic.
+*Base Theta is locally uniformly unordered convergent also  basic theta function is an entire function.