## Search

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#### Extensions of **discrete** triangular distributions and boundary bias in kernel estimation for **discrete** functions

(ELSEVIER SCIENCE BV, 2010)

Asymmetric discrete triangular distributions are introduced in order to extend the symmetric ones serving for discrete associated kernels in the nonparametric estimation for discrete functions. The extension from one to ...

#### Polygons with parallel opposite sides

(Springer, 2013-09)

In this paper we consider convex planar polygons with parallel opposite sides. These polygons can be regarded as discretizations of closed convex planar curves by taking tangent lines at samples with pairwise parallel ...

#### Affine properties of convex equal-area polygons

(Springer, 2012-10)

In this paper we discuss some affine properties of convex equal-area polygons, which are convex polygons such that all triangles formed by three consecutive vertices have the same area. Besides being able to approximate ...

#### A Simplicial Complex is Uniquely Determined by Its Set of **Discrete** Morse Functions

(Springer, 2017-07)

We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex ...

#### Dually **discrete** spaces

(ELSEVIER SCIENCE BV, 2008)

A neighbourhood assignment in a space X is a family O = {O-x: x is an element of X} of open subsets of X such that X is an element of O-x for any x is an element of X. A set Y subset of X is a kernel of O if O(Y) = U{O-x: ...

####
**Discrete**-time sliding mode control of input-delay systems applied on a power generation system

(2006-12-01)

This paper presents two discrete sliding mode control (SMC) design. The first one is a discrete-time SMC design that doesn't take into account the time-delay. The second one is a discrete-time SMC design, which takes in ...

#### Penalty-based nonlinear solver for optimal reactive power dispatch with **discrete** controls

(2013-04-15)

The optimal reactive dispatch problem is a nonlinear programming problem containing continuous and discrete control variables. Owing to the difficulty caused by discrete variables, this problem is usually solved assuming ...

#### Stability of an inverse problem for the **discrete** wave equation and convergence results

(Elsevier, 2015)

Using uniform global Carleman estimates for semi-discrete elliptic and hyperbolic equations, we study Lipschitz and logarithmic stability for the inverse problem of recovering a potential in a semi-discrete wave equation, ...

#### Stability of an inverse problem for the **discrete** wave equation and convergence results

(Elsevier, 2015)

Using uniform global Carleman estimates for semi-discrete elliptic and hyperbolic equations, we study Lipschitz and logarithmic stability for the inverse problem of recovering a potential in a semi-discrete wave equation, ...