1 Overview This document provides a detailed discussion of the plotting functions in marray package, which is a packages for diagnostic plots of two-color spotted microarray data. This docuement provides functions for diagnostic plots of microarray spot statistics, such as boxplots, scatter–plots, and spatial color images. Examination of diagnostic plots of intensity data is important in order ...

In this paper, we give a ‘direct’ construction of the endomorphism ring of supersingular elliptic curves over a prime field Fp from ‘ideal classes’ of Q( √−p). We use the result to prove that the result of Kaneko on ‘minimal’ CM liftings of such supersingular elliptic curves is a best possible result. We also prove that the result of Elkies on ‘minimal’ CM liftings of all supersingular elliptic...

One approach to the study of the structure of animal communities for which there is a considerable amount of raw data is the comparison of abundances of the species of a group of organisms in a given locality. The basic information is a list of species found and the abundance of each. This can best be plotted by ranking the species from commonest to rarest along the abscissa and plotting their ...

Wheat is an important crop of India. Precise estimates of evapotranspiration can be obtained by multiplying crop coefficients to reference evapotranspiration using readily available climatic data. PenmanMonteith equation is adopted world wide as the most reliable and accurate method for computing reference evapotranspiration. The Food and Agriculture Organization (FAO) presented crop coefficien...

With rapid response capabilities, and a daily planning of its observing schedule, the Neil Gehrels Swift Observatory is ideal for monitoring transient variable sources. Here we present sample 12 novae with most detailed ultraviolet (UV) follow-up by Swift—the first uniform analysis such UV light-curves. The fading these specific light-curves can be modelled as power-law decays (plotting magnitu...

We present first a generalized LWE problem, which is essentially to extend the original LWE to the case of matrices. Then we use this new version of LWE problem, which we call matrix LWE problem to build new cryptographic schemes, which include a new key distribution scheme, a new key exchanges scheme and a new simple identity-based encryption scheme.

in this note we review a simple criterion, due to ekedahl, for superspecial curves defined over finite fields.using this we generalize and give some simple proofs for some well-known superspecial curves.

In this paper, we present a detailed analysis of the global clustering coefficient in scale-free graphs. Many observed real-world networks of diverse nature have a power-law degree distribution. Moreover, the observed degree distribution usually has an infinite variance. Therefore, we are especially interested in such degree distributions. In addition, we analyze the clustering coefficient for ...