- 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...
- 1809. His
parents were Claude-Joseph
Liouville (an army officer) and Thérèse
Liouville (née Balland).
Liouville gained admission to the École Polytechnique...
- In physics,
Liouville's theorem,
named after the
French mathematician Joseph Liouville, is a key
theorem in
classical statistical and
Hamiltonian mechanics...
- 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...
-
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 physics,
Liouville field theory (or
simply Liouville theory) is a two-dimensional
conformal field theory whose classical equation of
motion is a generalization...
-
Liouville's theorem has
various meanings, all
mathematical results named after Joseph Liouville: In
complex analysis, see
Liouville's theorem (complex...
- For
Liouville's equation in
dynamical systems, see
Liouville's theorem (Hamiltonian). For
Liouville's equation in
quantum mechanics, see Von
Neumann equation...
- 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...
- we have the
notion of
integrability in the
Liouville sense. (See the
Liouville–Arnold theorem.)
Liouville integrability means that
there exists a regular...
