Definition of Theta function. Meaning of Theta function. Synonyms of Theta function

Here you will find one or more explanations in English for the word Theta function. Also in the bottom left of the page several parts of wikipedia pages related to the word Theta function and, of course, Theta function synonyms and on the right images related to the word Theta function.

Definition of Theta function

Theta function
Theta The"ta, n. [L., fr. Gr. qh^ta, the Greek letter [theta], [Theta].] A letter of the Greek alphabet corresponding to th in English; -- sometimes called the unlucky letter, from being used by the judges on their ballots in passing condemnation on a prisoner, it being the first letter of the Greek qa`natos, death. Theta function (Math.), one of a group of functions used in developing the properties of elliptic functions.

Meaning of Theta function from wikipedia

- In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces...
- function L(θ∣x){\displaystyle {\mathcal {L}}(\theta \mid x)} is the probability of observing data x{\displaystyle x} ****uming θ{\displaystyle \theta }...
- particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties...
- Ma**** form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta functions were described by Srinivasa...
- complex variables. Theta function may also refer to: q-theta function, θ(z;q){\displaystyle \theta (z;q)}, a type of q-series Theta function of a lattice,...
- _{2}(\mathbb {R} )}. An example is the Jacobi theta function θ(z,τ)=∑n=−∞∞e2πinz+iπn2τ{\displaystyle \theta (z,\tau )=\sum _{n=-\infty }^{\infty }e^{2\pi...
- Theta (UK: /ˈθiːtə/, US: /ˈθeɪtə/; uppercase Θ or ϴ; lowercase θ or ϑ; Ancient Gr****: θῆτα thē̂ta [tʰɛ̂ːta]; Modern: θήτα thī́ta [ˈθita]) is the eighth...
- trigonometric functions. For example, if x=sin⁡θ{\displaystyle x=\sin \theta }, then dx/dθ=cos⁡θ=1−x2,{\textstyle dx/d\theta =\cos \theta ={\sqrt {1-x^{2}}}...
- {\begin{aligned}e^{i\theta }&=\cos \theta +i\sin \theta \\e^{-i\theta }&=\cos \theta -i\sin \theta \\\cos \theta &={\frac {e^{i\theta }+e^{-i\theta }}{2}}.\\\end{aligned}}}...
- In mathematics, the q-theta function (or modified Jacobi theta function) is a type of q-series which is used to define elliptic hypergeometric series...