Let u1×n, Xn×n, and vn×1 be matrices of indeterminates, AdjX be the classical adjoint of X, and H(n) be the ideal I1(uX)+ I1(Xv)+ I1(vu−AdjX). Vasconcelos has conjectured that H(n) is a perfect Gorenstein ideal of grade 2n. In this paper, we obtain the minimal free resolution of H(n); and thereby establish Vasconcelos’ conjecture. Let u1×n, Xn×n, and vn×1 be matrices of indeterminates over a co...

A multivariate approach based on hierarchical cluster analysis has been proposed to study the pattern of rainfall in different mandals of Visakhapatnam district of Andhra Pradesh. The approach was applied to study the rainfall patterns of 42 mandals based on 25 years of rainfall data of Visakhapatnam district from 1986-2010. The application of hierarchical clustering approaches single linkage, ...

Genome wide association studies (GWAS) have largely succeeded family-based linkage studies in livestock and human populations as the preferred method to map loci for complex or quantitative traits. However, the type of results produced by the two analyses contrast sharply due to differences in linkage disequilibrium (LD) imposed by the design of studies. In this paper, we demonstrate that assoc...

We measured the α-relaxation in trehalose glass by using photon correlation spectroscopy(PCS). The α-relaxations of trehalose glass showed a crossover from stretchedto compressed-exponential relaxations as the temperature increased. From the Raman scattering measurements, we found that the unusual compressed-exponential relaxation in trehalose glass was caused by the change of glycosidic linkag...

It is usually not known in advance whether a nonlinear set of constraints has zero, one, or multiple feasible regions. Further, if one or more feasible regions exist, their locations are usually unknown. We propose a method for exploring the variable space quickly using Constraint Consensus to identify promising areas that may contain a feasible region. Multiple Constraint Consensus solution po...

We present a simple two-stage procedure to define haplotype blocks and construct a statistic to test whether a polymorphism belongs to a block. Applying this method to the data of Gabriel et al. [2002] yielded longer haplotype blocks than were originally reported with a similar average percentage of common haplotypes in blocks. Furthermore, across regions of the genome and among the four popula...

A low-density, male-based linkage map was constructed as one of the objectives of the International Equine Gene Mapping Workshop. Here we report the second generation map based on testing 503 half-sibling offspring from 13 sire families for 344 informative markers using the CRIMAP program. The multipoint linkage analysis localized 310 markers (90%) with 257 markers being linearly ordered. The m...

We performed linkage analysis on families with rheumatoid arthritis, stratifying by ethnic origin. We compared results using either Kong and Cox nonparametric LOD scores or MOD score analysis using the software GeneHunter MODSCORE. We first applied SNPLINK to remove markers showing excess linkage disequilibrium from the SNPs in the Illumina IV SNP Linkage panel. In this analysis there were 659 ...

The objective of this study was to quantify the extent of linkage disequilibrium (LD) on bovine chromosomes 19 and 29 and to study the pattern of selection signatures in beef and dairy breeds (Angus and Holstein) of Bos taurus. The extent of LD was estimated for 370 and 186 single nucleotide polymorphism markers on BTA19 and 29 respectively using the square of the correlation coefficient (r(2))...

In livestock, current statistical approaches utilize extensive molecular data, e.g., single nucleotide polymorphisms (SNPs), to improve the genetic evaluation of individuals. The number of model parameters increases with the number of SNPs, so the multicollinearity between covariates can affect the results obtained using whole genome regression methods. In this study, dependencies between SNPs ...