Nephrogenic systemic fibrosis (NSF), first described in 2000 in a 15-patient case series, is an extremely debilitating, multisystemic fibrosing disorder. Since that initial report, more than 300 cases have been recognized, and their histopathologic features have been categorized. Two known associations with NSF are renal dysfunction and exposure to gadolinium (Gd)– containing magnetic resonance...

In a previous article [35] an algebraicity result for the central critical value for L-functions for GLn × GLn−1 over Q was proved assuming the validity of a nonvanishing hypothesis involving archimedean integrals. The purpose of this article is to generalize [35, Thm. 1.1] for all critical values for L-functions for GLn×GLn−1 over any number field F while using the period relations of [37] and...

and infinitely many integers n, multiplication in a normal basis of Fqn over Fq can be computed with O(n logn loglogn), division with O(n log n loglogn) operations in Fq , and exponentiation of an arbitrary element in Fqn with O(n2 loglogn) operations in Fq . We also prove that using a polynomial basis exponentiation in F2n can be done with the same number of operations in F2 for all n. The pre...

This paper compares radial basis function interpolants on diier-ent spaces. The spaces are generated by other radial basis functions, and comparison is done via an explicit representation of the norm of the error functional. The results pose some new questions for further research.

A radial basis function (RBF) has the general form

Monitoring nitrogen concentration of oilseed rape from hyperspectral data using radial basis function Fumin Wang, Jingfeng Huang, Yuan Wang, Zhuanyu Liu, Dailiang Peng & Feifeng Cao a Institute of Hydrology and Water Resources, Zhejiang University, Hangzhou, China b Institute of Agricultural Remote Sensing & Information Application, Zhejiang University, Hangzhou, China c Institute of Remote Sen...

Clinical neurology has been traditionally considered as an academic speciality in which the specialist regurgitates his/her knowledge of neurology without being able to do much for the patient. This attitude is no longer acceptable. Surge of information and discoveries in neurosciences within the last two decades translated into therapeutic interventions which is literally life saving in some o...

Radial basis function networks (RBF) are efficient general function approximators. They show good generalization performance and they are easy to train. Due to theoretical considerations RBFs commonly use Gaussian activation functions. It has been shown that these tight restrictions on the choice of possible activation functions can be relaxed in practical applications. As an alternative differ...