A run (or maximal periodicity) in a word is a periodic factor whose length is at least twice the period and which cannot be extended to the left or right without changing the period. Recently Kusano et al. [6] used a clever search technique to find run-rich words and were able to show that the number of runs in a word of length n can be greater than 0.94457564n. In this paper we use a two-stage...

Abstract We give an explicit positive answer, in the case of reduced curve singularities, to a question B. Teissier about existence toric embedded resolution after reembedding. In singularity ( C , O ) contained non singular surface S such reembedding may be defined terms sequence maximal contact curves minimal . prove that there exists modification, reembedding, which provides use properties s...