# Difference between revisions of "Manuals/calci/BASETHETA"

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==Description== | ==Description== | ||

*This function shows the Base theta value. | *This function shows the Base theta value. | ||

− | *The basic theta function is defined to be the function <math> \theta</math>:<math>\mathbb{C} | + | *The basic theta function is defined to be the function <math> \theta</math>:<math>\mathbb{C} \rarr \mathbb{C} </math> given by |

*The function <math>\theta</math> depends on <math>\tau</math>τ . | *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. | *So for each <math>\tau \in \mathbb{C}</math>τ ∈ C with Im τ > 0 we get a (not necessarily different) basic theta function. |

## Revision as of 16:08, 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 : 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.