Difference between revisions of "Manuals/calci/BASETHETA"

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

Revision as of 16:04, 21 December 2016

BASETHETA (Theta)


  • is the angle value.

Description

  • 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 depends on τ .
  • So for each 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.