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discontinuous piecewiselinear
"... Heterogeneous speculators and asset price dynamics: further results from a onedimensional ..."
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Heterogeneous speculators and asset price dynamics: further results from a onedimensional
Algorithms and . . . PIECEWISELINEAR HOMEOMORPHISMS
, 2008
"... The first part (Chapters 2 through 5) studies decision problems in Thompson’s groups F, T, V and some generalizations. The simultaneous conjugacy problem is determined to be solvable for Thompson’s group F and suitable larger groups of piecewiselinear homeomorphisms of the unit interval. We describ ..."
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The first part (Chapters 2 through 5) studies decision problems in Thompson’s groups F, T, V and some generalizations. The simultaneous conjugacy problem is determined to be solvable for Thompson’s group F and suitable larger groups of piecewiselinear homeomorphisms of the unit interval. We
Computing Correlation between PiecewiseLinear Functions ∗
, 2013
"... We study the problem of computing correlation between two piecewiselinear bivariate functions defined over a common domain, where the surfaces they define in 3D—polyhedral terrains—can be transformed vertically by a linear transformation of the third coordinate (scaling and translation). We present ..."
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We study the problem of computing correlation between two piecewiselinear bivariate functions defined over a common domain, where the surfaces they define in 3D—polyhedral terrains—can be transformed vertically by a linear transformation of the third coordinate (scaling and translation). We
Piecewiselinear models of genetic regulatory networks: equilibria and . . .
 J. MATH. BIOL.
, 2005
"... A formalism based on piecewiselinear (PL) differential equations, originally due to Glass and Kauffman, has been shown to be wellsuited to modelling genetic regulatory networks. However, the discontinuous vector field inherent in the PL models raises some mathematical problems in defining solutio ..."
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Cited by 45 (19 self)
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A formalism based on piecewiselinear (PL) differential equations, originally due to Glass and Kauffman, has been shown to be wellsuited to modelling genetic regulatory networks. However, the discontinuous vector field inherent in the PL models raises some mathematical problems in defining
Control of PiecewiseLinear Hybrid Systems on Simplices and Rectangles
, 2001
"... A necessary and sucient condition for the reachability of a piecewiselinear hybrid system is formulated in terms of reachability of a finitestate discreteevent system and of a finite family of affine systems on a polyhedral set. As a subproblem, the reachability of an affine system on a polyt ..."
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Cited by 30 (3 self)
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A necessary and sucient condition for the reachability of a piecewiselinear hybrid system is formulated in terms of reachability of a finitestate discreteevent system and of a finite family of affine systems on a polyhedral set. As a subproblem, the reachability of an affine system on a
Computing the Distance between PiecewiseLinear Bivariate Functions
"... We consider the problem of computing the distance between two piecewiselinear bivariate functions f and g defined over a common domain M. We focus on the distance induced by the L2norm, that is ‖f − g‖2 = M (f − g)2. If f is defined by linear interpolation over a triangulation of M with n triangle ..."
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Cited by 1 (1 self)
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We consider the problem of computing the distance between two piecewiselinear bivariate functions f and g defined over a common domain M. We focus on the distance induced by the L2norm, that is ‖f − g‖2 = M (f − g)2. If f is defined by linear interpolation over a triangulation of M with n
A Complete 3D Canonical PiecewiseLinear Representation
"... Abstract A complete 3D Canonical PiecewiseLinear (CPWL) representation is developed constructively in this paper. The key to the representation is the establishment of the explicit functional formulation of basis function. It is proved that basis function is the most elementary generating functio ..."
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 Piecewiselinear representation, basis function, Piecewiselinear modeling, nonlinear approximation. The continuous PiecewiseLinear (PWL) function is a promising tool in many fields where strong nonlinearity
Results 1  10
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427,131