- 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...
-
Liouville's theorem has
various meanings, all
mathematical results named after Joseph Liouville: In
complex analysis, see
Liouville's theorem (complex...
- 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's theorem,
named after the
French mathematician Joseph Liouville, is a key
theorem in
classical statistical and
Hamiltonian mechanics...
- The
Liouville lambda function,
denoted by λ(n) and
named after Joseph Liouville, is an
important arithmetic function. Its
value is +1 if n is the product...
- For
Liouville's equation in
dynamical systems, see
Liouville's theorem (Hamiltonian). For
Liouville's equation in
quantum mechanics, see Von
Neumann equation...
- In mathematics, the Riemann–
Liouville integral ****ociates with a real
function f : R → R {\displaystyle f:\mathbb {R} \rightarrow \mathbb {R} } another...
- In
complex analysis,
Liouville's theorem,
named after Joseph Liouville (although the
theorem was
first proven by
Cauchy in 1844),
states that
every bounded...
- we have the
notion of
integrability in the
Liouville sense. (See the
Liouville–Arnold theorem.)
Liouville integrability means that
there exists a regular...
