The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding ti...

PURPOSE To examine the intra-rater reliability of knee movement data in sagital plane obtained from electrogoniometer (EGM) in a basic, sport-specific task of karate. METHODS A total of 23 elite karate athletes (13 females and 10 males; mean age of 16.10±1.26 yrs) participated in this study. The task was defined as performing three consecutive Zenkutsu-dachi in two sessions. The used EGM was ...

This paper presents additional conditions that are needed to create proper digraphs representation of the characteristic polynomial. Contrary to currently used methods (like canonical forms) digraphs representations allow to find a complete set of all possible realisations instead of only a few realisations. In addition, all realisations in the set are minimal. Proposed additional conditions on...

Let M be a loopless matroid with rank r and c components. Let P (M, t) be the characteristic polynomial of M. We shall show that (−1)P (M, t) > (1 − t) for t ∈ (−∞, 1), that the multiplicity of the zeros of P (M, t) at t = 1 is equal to c, and that (−1)r+cP (M, t) > (t− 1) for t ∈ (1, 32 27 ]. Using a result of C. Thomassen we deduce that the maximal zero-free intervals for characteristic polyn...

The performance of a classification system depends on the context in which it will be used, including the prevalence of the classes and the relative costs of different types of errors. Metrics such as accuracy are limited to the context in which the experiment was originally carried out, and metrics such as sensitivity, specificity, and receiver operating characteristic area--while independent ...

Zonotopal algebra deals with ideals and vector spaces of polynomials that are related to several combinatorial and geometric structures defined by a finite sequence of vectors. Given such a sequence X , an integer k ≥ −1 and an upper set in the lattice of flats of the matroid defined by X , we define and study the associated hierarchical zonotopal power ideal. This ideal is generated by powers ...

We define a new probability measure with two parameters on the n-dimensional torus. A q-analogue of Dyson’s circular ensembles is seen to be a special case of the new measure. The moments of the characteristic polynomial with respect to the measure are calculated via Macdonald function theory. Furthermore, explicit expressions for the asymptotic behavior of the moments in the limit as n → ∞ are...

In clinical practices, it is common that several biomakers are related to a specific disease and each single marker does not have enough diagnostic power. An effective way to improve the diagnostic accuracy is to combine multiple markers. It is known that the area under the receiver operating characteristic curve (AUC) is very popular for evaluation of a diagnostic tool. Su and Liu (1993) deriv...

On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...

Given the toric (or toral) arrangement defined by a root system Φ, we classify and count its components of each dimension. We show how to reduce to the case of 0-dimensional components, and in this case we give an explicit formula involving the maximal subdiagrams of the affine Dynkin diagram of Φ. Then we compute the Euler characteristic and the Poincaré polynomial of the complement of the arr...