We fill a gap in the systematically analyzed space of available techniques for state-of-the-art dependency parsing by comparing non-projective strategies for graph-based parsers. Using three languages with varying frequency of non-projective constructions, we compare the non-projective approximation algorithm with pseudo-projective parsing. We also analyze the differences between different enco...

We develop some aspects of the homological algebra persistence modules, in both one-parameter and multi-parameter settings, considered as either sheaves or graded modules. The two theories are different. consider module sheaf tensor product Hom bifunctors well their derived functors, Tor Ext, give explicit computations for interval a classification injective, projective, flat state Kunneth theo...

In order to investigate the role of initial quantum coherence in work probability distribution, it is necessary explicitly consider a concrete measurement apparatus record rather than implicitly appealing perform an energy measurement. this paper, we harmonic oscillator with coherent or squeezing state as apparatus, and propose unified framework statistics for arbitrary state. We find that prop...

In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d > 0 and order h with a generic projective differential hyperplane is shown to be an irreducible projective differential variety of dimension d − 1 and order h. Based on the generic intersection theo...