We call these equations the Donaldson-Thomas equations, and a solution (A,u) to these equations Donaldson-Thomas instanton. In [Ta1], we studied local structures of the moduli space of the DonaldsonThomas instantons such as the infinitesimal deformation and the Kuranishi map of the moduli space. In this article, we prove a weak compactness theorem of the Donaldson-Thomas instantons. This descri...

This paper proposes a method for removing image inconsistencies which occur by an existence of moving objects or a change of illumination condition when an omnidirectional image database is generated. The database is used for archiving an outdoor scene in wide areas or generating novel view images with an image-based rendering approach. In related work, it is difficult to remove moving objects ...

Inconsistencies frequently occur in news about the real-world. Some of these inconsistencies may be more significant than others, and some news may contain more inconsistencies than others. This creates problems of deciding whether to act on these inconsistencies, and if so how. Possible actions on an inconsistency in a news report include ignore the inconsistency, resolve the inconsistency, an...

This paper addresses partly an open question raised in the Handbook of Mathematical economics about the orientability of the pseudo-equilibrium manifold in the basic two-period General Equilibrium with Incomplete markets (GEI) model. For a broad class of explicit asset structures, it is proved that the asset equilibrium space is an orientable manifold if S − J is even. This implies, under the s...

INTRODUCTION Despite numerous studies on the benefits of exclusive breastfeeding during the first half year of life, little information is available on actual breastfeeding practices in terms of daily duration and frequency of suckling. This study proposes to determine daily breastfeeding patterns among exclusively breastfed infants from birth to six months. SUBJECT AND METHODS An observation...

In this paper, we study the thermodynamic phase transition in one dimensional systems with short range interaction. We begin by reviewing some famous non-existence result, such as Landau’s argument and van Hove’s theorem. And we point out that the PerronFrobenius theorem is generally used to determine whether there is phase transition in such kind of system. Then several examples that Perron-Fr...

The main goal of this study is to give the preliminary estimates of the tsunami risks for the Lesser Antilles. We investigated the available data of the tsunamis in the French West Indies using the historical data and catalogue of the tsunamis in the Lesser Antilles. In total, twenty-four (24) tsunamis were recorded in this area for last 400 years; sixteen (16) events of the seismic origin, fiv...

We develope a 5D mechanism inspired in the Campbell's theorem, to explain the (neutral scalar field governed) evolution of the universe from a initially inflationary expansion that has a change of phase towards a decelerated expansion and thereinafter evolves towards the present day observed accelerated (quintessential) expansion.

Two nonce-word studies examined German-speaking children's productivity with the Perfekt (present perfect) from 2;6 to 3;6. The German Perfekt consists of the past participle of the main verb and an inflected form of an auxiliary (either haben 'have' or sein 'be'). In Study 1, nonce verbs were either introduced in the infinitival form, and children (seventy-two children, aged 2;6 to 3;6) were t...

AIM The purpose of this study is the evaluation of the tooth eruption ages in a sample of children aged between 6 and 24 months. MATERIALS AND METHODS The sample consists of 204 children aged between six and twenty-four months, followed up for a period of one year in collaboration with seven pediatricians in the province of Sassari (Italy). The visits were carried out at the paediatricians' p...