Universal and non-universal text statistics: Clustering coefficient for language identification

Mani and shapur a universal faith for e universal kingdom

Universal statistics of the scattering coefficient of chaotic microwave cavities.

We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the nonuniversal effects of the coupling from the experimental S data using the radiation impedance obtained directly from the experiments. We thus obtain the normalized scattering coefficient whose probability density function (PDF) is predicted to be universal in that i...

A Universal Coefficient Theorem for Gauss’s Lemma

We shall prove a version of Gauß’s Lemma that recursively constructs polynomials {ck}k=0,...,m+n in Z[ai, Ai, bj , Bj ]i=0,...,m, j=0,...,n, of degree at most ( m+n n ) , such that whenever ∑ k CkX k = ∑ i AiX i · ∑ j BjX j and 1 = ∑

Universal acyclic resolutions for arbitrary coefficient groups

We prove that for every compactum X and every integer n ≥ 2 there are a compactum Z of dim ≤ n + 1 and a surjective UV n−1-map r : Z −→ X such that for every abelian group G and every integer k ≥ 2 such that dimG X ≤ k ≤ n we have dimG Z ≤ k and r is G-acyclic.

Universal Compressed Text Indexing

The rise of repetitive datasets has lately generated a lot of interest in compressed self-indexes based on dictionary compression, a rich and heterogeneous family that exploits text repetitions in different ways. For each such compression scheme, several different indexing solutions have been proposed in the last two decades. To date, the fastest indexes for repetitive texts are based on the ru...