On piecewise linear cell decompositions

On Piecewise - Linear

If two sets of vectors (in Classification

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...

Stable Morse Decompositions for Piecewise Constant Vector Fields on Surfaces

Numerical simulations and experimental observations are inherently imprecise. Therefore, most vector fields of interest in scientific visualization are known only up to an error. In such cases, some topological features, especially those not stable enough, may be artifacts of the imprecision of the input. This paper introduces a technique to compute topological features of user-prescribed stabi...

on the effect of linear & non-linear texts on students comprehension and recalling

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