- 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=sinθ{\displaystyle x=\sin \
theta }, then dx/dθ=cosθ=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...