A reduction theory is developed for binary forms (homogeneous polynomials) of degrees three and four with integer coef-cients. The resulting coeecient bounds simplify and improve on those in the literature, particularly in the case of negative discriminant. Applications include systematic enumeration of cubic number elds, and 2-descent on elliptic curves deened over Q. Remarks are given concern...

Nonlinear Support Vector Machines (SVMs) are investigated for visual sex classification with low resolution "thumbnail" faces (21by-12 pixels) processed from 1,755 images from the FE RET face database. The performance of SVMs is shown to be superior to traditional pattern classifiers (Linear, Quadratic, Fisher Linear Discriminant, Nearest-Neighbor) as well as more modern techniques such as Radi...

In this study the characterisation and separation/discrimination of three sheep breeds (crosses, West African Dwarfs (WAD) and West African Long Legged (WALL)] based on their physical traits (morphological characterisation) was investigated extensively with the application of discriminant analysis. The study's main objective was specifically based on developing a variable selection criterion th...

We applied a multivariate analysis to a large series of serum biochemical tests in an attempt to identify a function that could efficiently discriminate cirrhosis from hepatocellular carcinoma (HC). We analyzed two successive temporal cohorts (1987-90; 1991-94) of HC and cirrhotic patients, all histologically classified (first cohort: 69 cirrhosis and 39 HC; second cohort: 66 cirrhosis and 38 H...

conclusions the levels of hemoglobin can be used to predict preeclampsia and monitoring the pregnant women and its regular measure in 3 trimesters help us to identify women at risk for preeclampsia. background preeclampsia is one of the most serious complications during pregnancy with important effects on health of mother and fetus that causes maternal and fetal morbidity and mortality. this st...