In Karatzas and Kardaras’s paper [11] it is proved that the NUPBR condition is a property of the local characteristic of the asset process. In Takaoka’s paper [15] it is proved that the NUPBR condition is equivalent to the existence of a local martingale deflator. However, the paper [15] founds its proof on Delbaen and Schachermayer’s fundamental asset pricing theorem, i.e. the NFLVR condition,...

In industrial X-ray CT application, it is particularly important to remove beam hardening artifacts in reconstructed images in order to achieve accurate surface extraction for dimensional inspection of mechanical parts. This paper proposes a new method in the same category as the IAR (iterative artifact reduction) technique with the added advantage of not requiring repeated image reconstruction...

A well-known theorem of Fong states that over large enough fields of any characteristic, the principal indecomposable modules of a soluble finite group are induced from subgroups of order prime to the characteristic. It is shown that this property in fact characterises soluble finite groups.

We prove that the Kawamata-Viehweg vanishing theorem holds on rational surfaces in positive characteristic by means of the lifting property to W2(k) of certain log pairs on smooth rational surfaces. As a corollary, the Kawamata-Viehweg vanishing theorem holds on log del Pezzo surfaces in positive characteristic.

We describe the class of n-variable polynomial functions that satisfy Aczél’s bisymmetry property over an arbitrary integral domain of characteristic zero with identity.

The echo state property is a key for the design and training of recurrent neural networks within the paradigm of reservoir computing. In intuitive terms, this is a passivity condition: a network having this property, when driven by an input signal, will become entrained by the input and develop an internal response signal. This excited internal dynamics can be seen as a high-dimensional, nonlin...

We study the pointwise multiplier property of characteristic function half-space on weighted mixed-norm anisotropic vector-valued spaces Bessel potential and Triebel–Lizorkin type.

The authors of the present paper prepared a series of research related to the ways of representation by Generalized nets (GNs, see [1] and the Appendix) the process of machine learning of different objects, e,g" neural networks, genetic algorithms, GNs, expert systems, systems (abstract, statical, dynamical, stohastical and others), etc. Working on their research [21, where they gave a countere...

Extended plus (epf) closure and rank 1 (r1f) are two operations introduced by Raymond C. Heitmann for rings of mixed characteristic. Recently, he Linquan Ma proved that epf satisfies the usual colon-capturing property under mild conditions. In this paper, we extend their result prove what call $p$-colon-capturing property. Based on that, define a new notion called "weak closure", it generalized...

If a real value invariant of compact combinatorial manifolds (with or without boundary) depends only on the number of simplices in each dimension on the manifold, then the invariant is completely determined by Euler characteristics of the manifold and its boundary. So essentially, Euler characteristic is the unique invariant of this type.