in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

We force and construct a model in which GCH and level by level equivalence between strong compactness and supercompactness hold, along with certain additional “L-like” combinatorial principles. In particular, this model satisfies the following properties: 1. ♦δ holds for every successor and Mahlo cardinal δ. 2. There is a stationary subset S of the least supercompact cardinal κ0 such that for e...

Thermokarst is the process of ground subsidence caused by either the thawing of ice-rich permafrost or the melting of massive ground ice. The consequences of permafrost degradation associated with thermokarst for surface ecology, landscape evolution, and hydrological processes have been of great scientific interest and social concern. Part of a tundra patch affected by wildfire in northern Alas...

X iv :m at h/ 00 12 20 2v 1 [ m at h. A G ] 2 0 D ec 2 00 0 The Moduli Space of Bilevel-6 Abelian Surfaces G.K. Sankaran & J. Spandaw The moduli space Abil t of (1, t)-polarised abelian surfaces with a weak bilevel structure was introduced by S. Mukai in [11]. Mukai showed that Abil t is rational for t = 2, 3, 4, 5. More generally, we may ask for birational invariants, such as Kodaira dimension...

Human movement analysis requires representations that allow for effective encoding and interpretation of spatiotemporally varying data. While several types of representation exist to encode elaborate movements (e.g. choreographies), they only bear a symbolic resemblance to what can be measured; trajectories of points on the body and joint angles. In this paper, we attempt to bridge the gap betw...