-
called the
Pfaffian polynomial. The
value of this polynomial, when
applied to the
entries of a skew-symmetric matrix, is
called the
Pfaffian of that matrix...
- In mathematics,
Pfaffian functions are a
certain class of
functions whose derivative can be
written in
terms of the
original function. They were originally...
- a
constraint equation in
Pfaffian form,
whether the
constraint is
holonomic or
nonholonomic depends on
whether the
Pfaffian form is integrable. See Universal...
- In
graph theory, a
Pfaffian orientation of an
undirected graph ****igns a
direction to each edge, so that
certain cycles (the "even
central cycles") have...
- In dynamics, a
Pfaffian constraint is a way to
describe a
dynamical system in the form: ∑ s = 1 n A r s d u s + A r d t = 0 ; r = 1 , … , L {\displaystyle...
- A
Pfaffian system is
specified by 1-forms alone, but the
theory includes other types of
example of
differential system. To elaborate, a
Pfaffian system...
-
convert the
problem into a
Pfaffian com****tion of a skew-symmetric
matrix derived from a
planar embedding of the graph. The
Pfaffian of this
matrix is then...
-
noted for his work on
partial differential equations of the
first order Pfaffian systems, as they are now called,
which became part of the
theory of differential...
- In
differential geometry, a one-form (or
covector field) on a
differentiable manifold is a
differential form of
degree one, that is, a
smooth section of...
-
define its
Pfaffian closure,
which is
again an o-minimal structure. (The
Pfaffian closure of a
structure is, in particular,
closed under Pfaffian chains where...
