In this paper a new quantity for real tensors, the sign-real spectral radius, is defined and investigated. Various characterizations, bounds and some properties are derived. In certain aspects our quantity shows similar behavior to the spectral radius of a nonnegative tensor. In fact, we generalize the Perron Frobenius theorem for nonnegative tensors to the class of real tensors.

Background The development of biologic and targeted synthetic (b/ts)DMARDs contributed to improved treatment outcomes in rheumatoid arthritis (RA). However, high medications costs may limit their use. Previously we showed that countries with a lower socioeconomic status (SES), b/tsDMARDs were prescribed fewer patients than higher SES. In this study take more detailed look at b/tsDMARD prescript...

Schedulability analysis for hard real-time systems requires bounds on the execution times of its tasks. To obtain useful bounds in the presence of caches, cache analysis is mandatory. The subject-matter of this article is the static analysis of the tree-based PLRU cache replacement policy (pseudo least-recently used), for which the precision of analyses lags behind those of other policies. We i...

Schedulability analysis for hard real-time systems requires bounds on the execution times of its tasks. To obtain useful bounds in the presence of caches, cache analysis is mandatory. The subject-matter of this article is the static analysis of the tree-based PLRU cache replacement policy (pseudo least-recently used), for which the precision of analyses lags behind those of other policies. We i...

Observe that the elements of ftxUf^ have infinite order, while those of ft2Uft3 have finite order. We will prove that whenever A e ft and B e ft do not both have a fixed point on L, then the group (A,B') is the discrete free product (A)*(B'), where B' denotes the transpose of B. The case where both A and B have a fixed point on L is also discussed. We show in addition that if A eft and Beft are...

In this paper x, a denote real numbers and p, q denote points of E2 T. The following propositions are true: (1) If |x| < a, then −a < x and x < a. (2) If a ­ 0 and (x− a) · (x + a) < 0, then −a < x and x < a. (3) For every real number s1 such that −1 < s1 and s1 < 1 holds 1 + s1 > 0 and 1− s1 > 0. (4) For every real number a such that a2 ¬ 1 holds −1 ¬ a and a ¬ 1. (5) For every real number a s...

We use a method based on the division algorithm to determine all the values of the real parameters b and c for which the hypergeometric polynomials 2F1(−n, b; c; z) have n real, simple zeros. Furthermore, we use the quasi-orthogonality of Jacobi polynomials to determine the intervals on the real line where the zeros are located.

Chytridiomycosis is a lethal fungal disease contributing to declines and extinctions of amphibian species worldwide. The currently used molecular screening tests for chytridiomycosis fail to detect the recently described species Batrachochytrium salamandrivorans. In this study, we present a duplex real-time PCR that allows the simultaneous detection of B. salamandrivorans and Batrachochytrium d...