- 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...
- edges, and
cutting off its
vertices at
those points Rectifiable curve, in
mathematics Rectifiable set, in
mathematics GHK flux equation#Rectification...
- to
prove the
following Theorem — Let Γ {\displaystyle \Gamma } be a
rectifiable,
positively oriented Jordan curve in R 2 {\displaystyle \mathbb {R} ^{2}}...
-
connected (straight) line
segments is also
called curve rectification. A
rectifiable curve has a
finite number of
segments in its
rectification (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. The basic...
- on U ¯ {\textstyle {\overline {U}}} and γ {\displaystyle \gamma } a
rectifiable simple loop in U ¯ {\textstyle {\overline {U}}} . The
Cauchy integral...
- by
replacing differentiability requirements with
those provided by
rectifiable sets,
while maintaining the
general algebraic structure usually seen...
-
conditions for when sets in Rn{\displaystyle \mathbb {R} ^{n}} may be
rectifiable. For a
Borel measure μ{\displaystyle \mu } on a
Euclidean space Rn{\displaystyle...
-
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...
- The arc
length functional has as its
domain the
vector space of
rectifiable curves – a
subspace of C ( [ 0 , 1 ] , R 3 ) {\displaystyle C([0,1],\mathbb...
