The loop-erased random walk (LERW) in three dimensions is obtained by erasing loops chronologically from simple random walk. In this paper we show the existence of the two-sided LERW which can be considered as the distribution of the LERW as seen by a point in the “middle” of the path.

In this paper we describe the first Ant algorithm designated for fuzzy TSP (FTSP). Our work consists of two parts. The former part is dedicated to FTSP specification. The latter transforms the Ant System (chronologically the first Ant algorithm) in order to tackle the FTSP, and implement the new algorithm on a FTSP instance.

Several morphological anomalies of teeth have been reported along with associated problems of eruption, alignment and susceptibility to dental caries. 1-3 Possible chronological effects of tooth development associated with position on the dental lamina have not been discussed. This paper reports two cases each with maxillary molars developing chronologically midway between the times anticipated...

M. Godec, Institute of Metals and Technology, Ljubljana, Slovenia The installations of the modern research equipment at the Institute of Metals and Technology are presented chronologically, with an emphasis on electron microscopes with analytical techniques and spectroscopic methods. In parallel with the analytical techniques,there is a focus on the signifi cance of the results for industry as ...

Fire regimes differ across tropical and subtropical biomes depending on multiple parameters whose interactions levels of importance are poorly understood, particularly at multidecadal longer time scales. In the catchment Lake Victoria, savanna, rainforest, Afromontane vegetation have interspersed over last 17,000 years, which may influenced fire regime vice versa. However, climate humans most o...