A [ An−1 + p1A n−2 + · · ·+ pn−1 In ] = −pn In . Since A is nonsingular, pn = (−1)n det(A) 6= 0; thus the result follows. Newton’s Identity. Let λ1, λ2, . . . , λn be the roots of the polynomial K(λ) = λ + p1λ n−1 + p2λ n−2 + · · · · · ·+ pn−1λ+ pn. If sk = λ k 1 + λ k 2 + · · ·+ λn, then pk = − 1 k (sk + sk−1 p1 + sk−2 p2 + · · ·+ s2 pk−2p1 + s1 pk−1) . Proof. From K(λ) = (λ − λ1)(λ − λ2) . . ...

saffron (zaaferan), botanical name crocus sativus, is the most expensive spice in the world. it is derived from the dried stigma and pistil of the purple saffron crocus flowers. iran is the largest saffron producer accounting for more than 80% of the world's production. saffron contains an aeroallergen that causes reactive respiratory allergic reactions in atopic subjects. igg antibody to aller...

This note extends the characteristic 0 results in [Bil99] to arbitrary characteristic. The method is completely different from Bilu’s. The main bulk of the work handles the case of positive characteristic. Indeed, if one skips all the arguments specific to this, one obtains a particularly short and natural proof of Bilu’s results. Also, the rather specific main result of [BG05] is a trivial con...

Four studies investigated the reliability and validity of thin slices of nonverbal behavior from social interactions including (a) how well individual slices of a given behavior predict other slices in the same interaction; (b) how well a slice of a given behavior represents the entirety of that behavior within an interaction; (c) how long a slice is necessary to sufficiently represent the enti...

Wisdom is a field of growing interest both inside and outside academic psychology, and researchers are increasingly interested in using measures of wisdom in their work. However, wisdom is a highly complex construct, and its various operationalizations are based on quite different definitions. Which measure a researcher chooses for a particular research project may have a strong influence on th...

INTRODUCTION The incidence and prevalence of mental problems among older people are difficult to map because the causes are often complex and the symptoms manifest in a range of ways. Therefore, there is a need for robust and useful instruments for screening mental problems in this group. One instrument used in Norway and around the world is the 30-item version of the General Health Questionnai...

We study the notions of positive cone, characteristic and C-characteristic in (Krasner) hyperfields. demonstrate how these interact order to produce interesting results theory For instance, we provide a criterion for deciding whether certain hyperfields cannot be obtained via Krasner’s quotient construction. prove that any integer (larger than 1) can realized as some infinite hyperfield an anal...

Article history: Received 31 August 2011 Revised 12 April 2012 Accepted 16 April 2012 Available online 21 April 2012 Communicated by D. Panario