In this paper, we extend the concept of classical f -divergence (for a pair of measures) to mixed f -divergence (for multiple pairs of measures). Mixed f -divergence provides a way to measure the difference between multiple pairs of probability distributions. Properties for mixed f -divergence are established, such as permutation invariance and symmetry in distributions. We also provide an Alex...

In this paper, by using the generalized Hadamard product and the orthogonal decomposition of projection matrix, we propose a new general approach to construct mixed-level orthogonal arrays. As an application of the method, some new mixed-level orthogonal array’s of run sizes 36 and 72 are constructed. c © 2001 Elsevier Science B.V. All rights reserved.

In this paper, a nonconforming mixed finite element method is studied for semilinear pseudo-hyperbolic partial integrodifferential equations. By use of the interpolation technique instead of the generalized elliptic projection, the optimal error estimates of the corresponding unknown function are given. Keywords—Pseudo-hyperbolic partial integro-differential equations; Nonconforming mixed eleme...

This demonstration will present recently completed research for a practice based PhD that explores the psycho-topographical relationship between bodies of matter, embodied data and data bodies, presenting a contribution to the field of mixed reality art, with a particular focus on post-biological identity. It will consist of the presentation of a body of practical outcomes that aim to provide a...

Manipulation of Notch activity alters neuronal subtype identity in vertebrate neuronal lineages. Nonetheless, it remains controversial whether Notch activity diversifies cell fate by regulating the timing of neurogenesis or acts directly in neuronal subtype specification. Here, we address the role of Notch in the zebrafish epiphysis, a simple structure containing only two neural subtypes: proje...

Multigrid algorithms for nonconforming and mixed nite element methods for second order elliptic problems on triangular and rectangular nite elements are considered. The construction of several coarse-tone intergrid transfer operators for nonconforming multigrid algorithms is discussed. The equivalence between the nonconforming and mixed nite element methods with and without projection of the co...

In this paper we prove that finite element discrete harmonic functions with mixed Dirichlet and Neumann boundary conditions satisfy a weak (Agmon-Miranda) maximum principle on convex polygonal domains. Using this result, we establish the stability of the Ritz projection with mixed boundary conditions in L∞ norm up to a logarithmic term.

A new kinematic formula for the support measures of convex bodies is proved. The underlying operation is the convex hull operation for pairs of convex bodies. Further, the concept of mixed support measures is introduced and kinematic relations for these new functionals are indicated.

In this paper we extend the notion of a Lorentz cone. We call a closed convex set isotone projection set with respect to a pointed closed convex cone if the projection onto the set is isotone (i.e., monotone) with respect to the order defined by the cone. We determine the isotone projection sets with respect to an extended Lorentz cone. In particular a Cartesian product between an Euclidean spa...

Some Orlicz-Brunn-Minkowski type inequalities for (dual) quermassintegrals of polar bodies and star dual have been introduced. In this paper, we generalize the results establish some mixed bodies.