We define the Z2 Hodge spaces Hpq(Σ) of a fan Σ. If Σ is the normal fan of a reflexive polytope ∆ then we use polyhedral duality to compute the Z2 Hodge Spaces of Σ. In particular, if the cones of dimension at most e in the face fan Σ of ∆ are smooth then we compute Hpq(Σ) for p < e− 1. If Σ is a smooth fan then we completely determine the spaces Hpq(Σ) and we show XΣ is maximal, meaning that t...

marketers apply a variety of approaches to attract customers and gain more profits. one method is the utilization of nostalgia marketing. the use of nostalgic sport characters has not been sufficiently studied. this research determined the reliability and validity of the questionnaires presented in the studies evoked nostalgia by pascal et al. (2002), familiarity with nostalgic character by mey...

This article presents a formulation of the fan theorem in Martin-Löf’s type theory. Starting from one of the standard versions of the fan theorem we gradually introduce reformulations leading to a final version which is easy to interpret in type theory. Finally we describe a formal proof of that final version of the fan theorem.

In this paper, on the basis of some recent works of Fan, Jiang and Jia, we establish a representation theorem in the space of processes for generators of BSDEs with monotonic and polynomialgrowth generators, which generalizes the corresponding results in Fan (2006, 2007), and Fan and Hu (2008).

In this paper, we study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.

the aim of this paper is to evaluate the effect of tectonic on the volume of alluvial fans around danehkhoshk anticline. to achieve the purpose of this study, at first, borders, sweep angle(s) and radius(r) of alluvial fans were obtained based on quick bird satellite image and then difference in the altitude between the apex and toe of alluvial fans (h) were calculated based on topographic map ...

The recent increase in the generated polygonal dataset sizes has outpaced the performance of graphics hardware. Several solutions such as multiresolution hierarchies and level-of-detail rendering have been developed to bridge the increasing gap. However, the discrete levels of detail generate annoying popping effects, the preliminaries multiresolution schemes cannot perform drastic changes on t...

Great interest has recently been focused on dating and interpreting alluvial-fan surfaces. As a complement to the radiometric methods often used for surface-exposure dating, this paper illustrates a rapid method for correlating and dating fan surfaces using the cross-sectional shape of gullies incised into fan surfaces. The method applies a linear hillslope-diffusion model to invert for the dif...