Abstract. There is a well-known asymptotic formula, due to W. M. Schmidt (1968) for the number of full-rank integer lattices of index at most V in Z. This set of lattices L can naturally be partitioned with respect to the factor group Z/L. Accordingly, we count the number of full-rank integer lattices L ⊆ Z such that Z/L is cyclic and of order at most V , and deduce that these co-cyclic lattice...

For each field k, natural number n and parameter δ ∈ k, the Brauer algebra Bn(δ) is a finite dimensional algebra, with a basis of pair partitions of the set {1, 2, ..., 2n} [2]. Indeed there is a Z[δ]-algebra BZ n (for δ indeterminate), free of finite rank as a Z[δ]-module, that passes to each Brauer algebra by the natural base change; and a collection of modules {∆Z(λ)}λ∈Λn for this algebra th...

In this paper, we propose a new method, where the likelihood normalization technique is applied at both the frame and utterance levels. In this method based on Gaussian Mixture Models (GMM), every frame of the test utterance is inputed to the claimed and all background speaker models in parallel. In this procedure, for each frame, likelihoods from all the background models are available, hence ...

We consider the problem of comparing the gene expression levels of cells grown under two different conditions using cDNA microarray data. We use a quality index, computed from duplicate spots on the same slide, to filter out outlying spots, poor quality genes and problematical slides. We also perform calibration experiments to show that normalization between fluorescent labels is needed and tha...

Spectral counting is a strategy to quantify relative protein concentrations in pre-digested protein mixtures analyzed by liquid chromatography online with tandem mass spectrometry. In the present study, we used combinations of normalization and statistical (feature selection) methods on spectral counting data to verify whether we could pinpoint which and how many proteins were differentially ex...

We show that if G is a stable group of finite weight with no infinite, infinite-index, chains of definable subgroups, then G is superstable of finite U rank. Combined with recent work of Palaćın and Sklinos, we conclude that (Z,+, 0) has no proper stable expansions of finite weight. A corollary of this result is that if P ⊆ Zn is definable in a finite dp-rank expansion of (Z,+, 0), and (Z,+, 0,...

MOTIVATION Despite the central role of diseases in biomedical research, there have been much fewer attempts to automatically determine which diseases are mentioned in a text-the task of disease name normalization (DNorm)-compared with other normalization tasks in biomedical text mining research. METHODS In this article we introduce the first machine learning approach for DNorm, using the NCBI...

For each of the torsion groups Z/2Z ⊕ Z/10Z, Z/2Z ⊕ Z/12Z,Z/15Z we find the quadratic field with the smallest absolute value of its discriminant such that there exists an elliptic curve with that torsion and positive rank. For the torsion groups Z/11Z, Z/14Z we solve the analogous problem after assuming the Parity conjecture.

We reanalyze deep inelastic scattering data of BCDMS Collaboration by including proper cuts of ranges with large systematic errors. We perform also the fits of high statistic deep inelastic scattering data of BCDMS, SLAC, NM and BFP Collaborations taking the data separately and in combined way and find good agreement between these analyses. We extract the values of the QCD coupling constant αs(...

Normalization of high-throughput molecular expression profiles secures differential expression analysis between samples of different phenotypes or biological conditions, and facilitates comparison between experimental batches. While the same general principles apply to microRNA (miRNA) normalization, there is mounting evidence that global shifts in their expression patterns occur in specific ci...