- to
prove the
following Theorem — Let Γ {\displaystyle \Gamma } be a
rectifiable,
positively oriented Jordan curve in R 2 {\displaystyle \mathbb {R} ^{2}}...
- edges, and
cutting off its
vertices at
those points Rectifiable curve, in
mathematics Rectifiable set, in
mathematics GHK flux equation#Rectification...
- mathematics, a
rectifiable set is a set that is
smooth in a
certain measure-theoretic sense. It is an
extension of the idea of a
rectifiable curve to higher...
-
connected (straight) line
segments is also
called curve rectification. For a
rectifiable curve these approximations don't get
arbitrarily large (so the curve...
-
approximated by
small straight segments with a
definite limit is
termed a
rectifiable curve.
Benoit Mandelbrot showed that D is
independent of ε [clarification...
- by
replacing differentiability requirements with
those provided by
rectifiable sets,
while maintaining the
general algebraic structure usually seen...
-
conditions for when sets in R n {\displaystyle \mathbb {R} ^{n}} may be
rectifiable. For a
Borel measure μ {\displaystyle \mu } on a
Euclidean space R n...
- snowflake. It has a
topological dimension of 1, but it is by no
means rectifiable: the
length of the
curve between any two
points on the Koch snowflake...
-
simplest and
original form, it asks
which plane sets are
subsets of
rectifiable curves of
finite length.
Whereas the
original traveling salesman problem...
-
takes the form of a fractal. In general,
fractal curves are
nowhere rectifiable curves — that is, they do not have
finite length — and
every subarc longer...
