Correction to "On a piecewise linear link isotopy group"

Milnor ’ S Isotopy Invariants and Generalized Link

It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor’s invariants with repeated indices are invariants not only of isotopy, but also of self Ck-moves. A self Ck-move is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.

On Piecewise - Linear

If two sets of vectors (in Classification

Automatic off-resonance correction with piecewise linear autofocus

(red arrows) and other places, the proposed method removes more offresonance artifacts than conventional autofocus and produces images comparable to field map-based correction. The estimated field map also exhibits better agreement with measurement except in featureless areas (white circle). Eq 1: fo(x,y) = fc + fxx + fyy Eq 2: so(kx,ky) = e–j2πfct s(kx+fxt,ky+fyt) Eq 3: s(0,0) = e+j2πfcTE so(–...

Piecewise Constant Controlled Linear Fuzzy Systems

Remarks on Piecewise-linear Algebra

Introduction* A function f: V —>W between real vector spaces is piecewise-linear (PL) if there exists a partition of V into "open polyhedra" X€ (i.e., relative interiors of polyhedra) such that / is affine on each Xt. (As distinct to the case of PL-topology, no continuity is required of /.) Images and preimages under PL-maps give rise to finite unions of open polyhedra, or PL-seίs; conversely P...