High-throughput cDNA microarray technology allows for the simultaneous analysis of gene expression levels for thousands of genes and as such, rapid, relatively simple methods are needed to store, analyze, and cross-compare basic microarray data. The application of a classical method of data normalization, Z score transformation, provides a way of standardizing data across a wide range of experi...

We de ne nite rank for Z actions and show that those nite rank actions with a certain tower shape are loosely Bernoulli for d

Let q be an algebraic integer of degree d ≥ 2. Consider the rank of the multiplicative subgroup of C generated by the conjugates of q. We say q is of full rank if either the rank is d− 1 and q has norm±1, or the rank is d. In this paper we study some properties of Z[q] where q is an algebraic integer of full rank. The special cases of when q is a Pisot number and when q is a Pisot-cyclotomic nu...

In this paper it is shown that if T ∈ L(H) satisfies (i) T is a pure hyponormal operator; (ii) [T ∗, T ] is of rank-two; and (iii) ker [T ∗, T ] is invariant for T , then T is either a subnormal operator or the Putinar’s matricial model of rank two. More precisely, if T |ker [T∗,T ] has the rank-one self-commutator then T is subnormal and if instead T |ker [T∗,T ] has the ranktwo self-commutato...

BACKGROUND AND PURPOSE Hyperperfusion syndrome is a rare but disastrous complication after carotid endarterectomy (CEA). The aim of this study was to investigate the relationship between preoperative cerebral blood flow (CBF) abnormalities and postoperative hyperperfusion through the use of statistical brain mapping analysis. METHODS For 41 patients with unilateral carotid stenosis >or=70%, C...

BACKGROUND The purpose of this study was to investigate in oral breathing children the qualitative and quantitative effects on aerobic and facultatively anaerobic oropharyngeal microflora of respiratory function improved by rapid palatal expansion (RPE). METHODS In an open clinical trial, we studied 50 oral breathers, aged 8 to 14 years and suffering from both maxillary constriction and poste...

trace function 45, 46-48, 50, 51, 56, 62, 64 adapted stratification 12, 24, 26, 37, 38, 46, 48, 63, 121, 408 additive character sums 2, 7, 8, 111-158, 161-183, 270-280, 427-428 analytic rank 8, 443, 444, 445, 447, 449, 451, 453 analytic rank, geometric see "geometric analytic rank" analytic rank, quadratic see "quadratic analytic rank" Analytic Rank Theorem 445, 450-454 approximate trace fu...

This paper re-examines the speech rhythm of Beijing Chinese and Pisa Italian by means of the Control/Compensation Index (CCI), with a view to normalizing the speech data, in order to reduce the effect of the rate factor. Two metrics were applied: (a) DnCCI, an adaptation to the CCI model of the nPVI normalization strategy; (b) SnCCI, a z-score normalization, which takes into account the actual ...

MicroRNAs (miRNAs) are short, endogenous non-coding RNAs that function as guide molecules to regulate transcription of their target messenger RNAs. Several methods including low-density qPCR arrays are being increasingly used to profile the expression of these molecules in a variety of different biological conditions. Reliable analysis of expression profiles demands removal of technical variati...

We develop an algorithm for bounding the rank of elliptic curves in the family y2 = x3−B x, all of them with torsion group Z/(2Z) and modular invariant j = 1728. We use it to look for curves of high rank in this family and present four such curves of rank 13 and 22 of rank 12.