Abstract For a probability measure μ on [0, 1] without discrete component, the best possible order of approximation by finite point set in terms star-discrepancy is &inline as has been proven relatively recently. However, if contains component no non-trivial lower bound holds general because it straightforward to construct examples any error this case. This might explain, why measures sets ...

Pt-Pd catalyst supported on nitrogen-doped carbon nanofiber (N-CNF) was prepared and evaluated as a cathode electrode of the direct methanol fuel cell (DMFC). The N-CNF, which was directly synthesized by the catalytic chemical vapor deposition from acetonitrile at 640 °C, was verified as having a change of electrochemical surface properties such as oxygen reduction reaction (ORR) activities and...

Given a set of n data points (xi, yi, zi) ∈ [0, 1] , two methods are established for constructing two piecewise linear copulas, respectively denoted CA(x, y) and CB(x, y), in such a way that CA(xi, yi) and CB(xi, yi) both yield an approximation of zi for all i. If the data points are (randomly) sampled from an unknown copula C, i.e. zi = C(xi, yi), then CA and CB provide two piecewise linear es...

Recently, the Nash-style convex integration has been becoming main scheme for mathematical study of turbulence, and building block it either Beltrami flow (finite mode) or Mikado (compactly supported in physical side). On other hand, physics, is observed that turbulence composed a hierarchy scale-by-scale vortex stretching. Thus our motivation this to find another type blocks accompanied by str...

Abstract The purpose of this paper is to provide a systematic discussion generalized barycenter based on variant unbalanced optimal transport (UOT) that defines distance between general non-negative, finitely supported measures by allowing for mass creation and destruction modeled some cost parameter. They are denoted as Kantorovich–Rubinstein (KR) distance. In particular, we detail the influen...

The open core of a structure R := (R, <, . . .) is defined to be the reduct (in the sense of definability) of R generated by all of its definable open sets. If the open core of R is o-minimal, then the topological closure of any definable set has finitely many connected components. We show that if every definable subset of R is finite or uncountable, or if R defines addition and multiplication ...

We introduce various new type of recurrent sets for finitely generated semigroups on non-compact metric spaces that are conjugacy invariant, and obtain some basic properties chain via these definitions. Moreover, we define the notion weak shadowing property group actions compact spaces, which is weaker than property, prove equivalence a generalized homogeneous space without isolated points.

The local reconstruction from samples is one of most desirable properties for many applications in signal processing, but it has not been given as much attention. In this paper, we will consider the local reconstruction problem for signals in a shiftinvariant space. In particular, we consider finding sampling sets X such that signals in a shift-invariant space can be locally reconstructed from ...