- 1809. His
parents were Claude-Joseph
Liouville (an army officer) and Thérèse
Liouville (née Balland).
Liouville gained admission to the École Polytechnique...
- In
mathematics and its applications, a Sturm–
Liouville problem is a second-order
linear ordinary differential equation of the form d d x [ p ( x ) d y...
- In physics,
Liouville's theorem,
named after the
French mathematician Joseph Liouville, is a key
theorem in
classical statistical and
Hamiltonian mechanics...
-
physics of
quantum mechanics,
Liouville space, also
known as line space, is the
space of
operators on
Hilbert space.
Liouville space is
itself a
Hilbert space...
- In
number theory, a
Liouville number is a real
number x {\displaystyle x} with the
property that, for
every positive integer n {\displaystyle n} , there...
- In physics,
Liouville field theory (or
simply Liouville theory) is a two-dimensional
conformal field theory whose classical equation of
motion is a generalization...
- For
Liouville's equation in
dynamical systems, see
Liouville's theorem (Hamiltonian). For
Liouville's equation in
quantum mechanics, see Von
Neumann equation...
-
Liouville's theorem has
various meanings, all
mathematical results named after Joseph Liouville: In
complex analysis, see
Liouville's theorem (complex...
- In mathematics, the Riemann–
Liouville integral ****ociates with a real
function f : R → R {\displaystyle f:\mathbb {R} \rightarrow \mathbb {R} } another...
- In mathematics, the
Liouville–Neumann
series is a
function series that
results from
applying the
resolvent formalism to
solve Fredholm integral equations...