Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n uppe...

Let \(\left( H;\left\langle \cdot ,\cdot \right\rangle \right)\) be a complex Hilbert space and \(f:[0,\infty )\rightarrow \mathbb{R}\) convex (concave) on \([0,\infty )\). If \(x, y\in H\) with \(Re \left\langle x,y\right\rangle \geq 0\), then \begin{align*} f\left( \frac{\left\Vert x\right\Vert ^{2}+Re +\left\Vert y\right\Vert ^{2}}{3}\right) & \leq \left( \right) \int_{0}^{1}f\left( \lef...

correspondence correspondence Left is right, right is wrong T he cover illustration of the August 2009 issue of EMBO reports, although aesthetically pleasing, is unfortunately erroneous and could come as a shock to researchers in the chromatin field. Canonical nucleosomes are indeed left-handed, such as the nucleosomes in the left 'column' of chro-matin fibres on the cover. However, in the righ...

We present an interactive translation prediction method based on neural machine translation. Even with the same translation quality of the underlying machine translation systems, the neural prediction method yields much higher word prediction accuracy (61.6% vs. 43.3%) than the traditional method based on search graphs, mainly due to better recovery from errors. We also develop efficient means ...

This article is devoted to studying some new numerical radius inequalities for Hilbert space operators. Our analysis enables us improve an earlier bound due Kittaneh. It shown, among other, that if $A\in \mathcal{B}(\mathcal{H})$, then \[ \frac{1}{8}\left( {{\left\| A+{{A}^{*}} \right\|}^{2}}+{{\left\| A-{{A}^{*}} \right\|}^{2}} \right)\le \omega ^{2}\left( A \right) \le \left\| \frac{{{\left| ...

The Berezin transform $\widetilde{A}$ and the radius of an operator $A$ on reproducing kernel Hilbert space over some set $Q$ with normalized $k_{\eta}:=\dfrac{K_{\eta}}{\left\Vert K_{\eta}\right\Vert}$ are defined, respectively, by $\widetilde{A}(\eta)=\left\langle {A}k_{\eta},k_{\eta}\right\rangle$, $\eta\in Q$ $\mathrm{ber} (A):=\sup_{\eta\in Q}\left\vert \widetilde{A}{(\eta)}\right\vert$. A...

objective: whole-mouth examination is generally considered as a gold standard for exact periodontal disease assessment. partial mouth examination also has sometimes been used for this purpose, but its efficacy has been questioned. with regard to symmetric destruction hypothesis of periodontal disease, the present study investigated the efficacy of partial- mouth examination as an alternative fo...

Gerstmann’s syndrome is caused by a left (dominant) inferior parietal lesion, particularly involving the angular gyrus or subjacent white matter of the left hemisphere. We describe case of an 80 year old right handed man admitted to our hospital with history of sudden onset of blurred vision. At first in neurological examination, he had left hemonymus hemianopia and characteristic features of G...