An identity for the Chebychev functional is presented in which a Riemann-Stieltjes integral is involved. This allows bounds for the functional to be obtained for functions that are of bounded variation, Lipschitzian and monotone. Some applications are presented to produce bounds for moments of functions about a general point γ and for moment generating functions.

We used functional magnetic resonance imaging (fMRI) to investigate whether the neural systems for nonspatial visual and auditory working memory exhibits a functional dissociation. The subjects performed a delayed recognition task for previously unfamiliar faces and voices and an audiovisual sensorimotor control task. During the initial sample and subsequent test stimulus presentations, activat...

40 Drastic biodiversity declines have raised concerns about the deterioration of ecosystem 41 functions and have motivated much recent research on the relationship between species diversity 42 and ecosystem functioning. A functional trait framework has been proposed to improve the 43 mechanistic understanding of this relationship, but this has rarely been tested for organisms other 44 than plan...

On the lattice, for Wilson fermions, the chiral Ward Identity is only approximately true, due to discretisation effects. We have a finite renormalisation constant ZA(g) to determine by demanding that a Ward Identity is obeyed to O(a) (with n = 2 for O(a) improved fermions). The ALPHA collaboration [1] has found ZA for quenched fermions using the Schrödinger functional and PCAC; here, alternativ...

Abstract. In this short paper we present a simple method for deriving a remarkable functional identity for Riemann’s Zeta Function. The connections between some functional equations obtained implicitly by Leonhard Euler in his work ”Remarques sur un beau rapport entre les series des puissances tant directes que reciproques (E 352)” in Memoires de l’Academie des Sciences de Berlin 17, (1768) per...

Increasing evidence suggests that loss of β cell characteristics may cause insulin secretory deficiency in diabetes, but the underlying mechanisms remain unclear. Here, we show that Rfx6, whose mutation leads to neonatal diabetes in humans, is essential to maintain key features of functionally mature β cells in mice. Rfx6 loss in adult β cells leads to glucose intolerance, impaired β cell gluco...

Previous research has made significant progress in identifying the neural basis of the remarkably efficient and seemingly effortless face perception in humans. However, the neural processes that enable the extraction of facial information under challenging conditions when face images are noisy and deteriorated remains poorly understood. Here we investigated the neural processes underlying the e...

We present a two-dimensional extension of an identity in distribution due to Bougerol [Bou] that involves the exponential functional of a linear Brownian motion. Even though this identity does not extend at the level of processes, we point at further striking relations in this direction.

Compared with the traditional marketing model, live broadcast model increases role of anchor, making it a research hotspot. Based on different types products and anchor modes, impact consumers’ psychology behavior is focus this paper. Through two standard experiments, spss22 0 statistical analysis found that: (1) for functional products, entertainment mode significantly improves emotional ident...