Fomin and Shapiro conjectured that the link of the identity in the Bruhat stratification of the totally nonnegative real part of the unipotent radical of a Borel subgroup in a semisimple, simply connected algebraic group defined and split over R is a regular CW complex homeomorphic to a ball. The main result of this paper is a proof of this conjecture. This completes the solution of the questio...

This paper describes an efficient approach to improve the accuracy of a named entity recognition system for Vietnamese. The approach combines regular expressions over tokens and a bidirectional inference method in a sequence labelling model, which achieves an overall F1 score of 89.66% on a test set of an evaluation compaign, organized in late 2016 by the Vietnamese Language and Speech Processi...

We present the result and accuracy comparison of generalized positivitypreserving schemes for triangular Bézier patches of 1 C and 2 C scattered data interpolants that have been constructed. We compare three methods of 1 C schemes using cubic triangular Bézier patches and one 2 C scheme using quintic triangular Bézier patches. Our test case consists of four sets of node/test function pairs, wit...