Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fields), respectively 5 × 106 (other signatures). We list significant data.

We present a new method that we call generalized discriminant analysis (GDA) to deal with nonlinear discriminant analysis using kernel function operator. The underlying theory is close to the support vector machines (SVM) insofar as the GDA method provides a mapping of the input vectors into high-dimensional feature space. In the transformed space, linear properties make it easy to extend and g...

We fix an integer N ≥ 1 and an elliptic curve E over Z[1/6N ], given by an equation y = f(x) with f(x) a cubic in Z[1/6N ] whose discriminant is invertible in Z[1/6N ]. On E we have the differential of the first kind ω = dx/y and the differential of the second kind η = xdx/y. For each prime p not dividing 6N , we look at this data mod p, and apply the Cartier operator Cp. We get quantities αp, ...

introduction: in most bci articles which aim to separate movement imaginations, µ and β frequency bands have been used. in this paper, the effect of presence and absence of γ band on performance improvement is discussed since movement imaginations affect γ frequency band as well. methods: in this study we used data set 2a from bci competition iv. in this data set, 9 healthy subjects have perfor...

In two-group discriminant analysis, the Neyman-Pearson Lemma establishes that the ROC curve for an arbitrary linear function is everywhere below the ROC curve for the true likelihood ratio. The weighted area between these two curves can be used as a risk function for finding good discriminant functions. The weight function corresponds to the objective of the analysis, for example to minimize th...

Discriminant analysis has many application fields: assigning patients to a disease, loan applicants to a risk category, potential purchasers to a market segment, and the like. The conventional discriminant problem is to determine a discriminant function, which maps a point in a multi-dimensional feature space to a point in a one-dimensional decision space, using a set of labeled points in the f...

to assess the genetic diversity for morphological and agronomic traits in iranian oriental tobacco germplasm,100 oriental and semi-oriental tobacco genotypes from the urmieh tobacco research center collection were evaluated in the field using a simple square lattice design with two replications. some agronomic traits were measured on five randomly selected plants in each plot. genotypes were cl...