It is conjectured since long that for any convex body $K \subset \mathbb{R}^n$ there exists a point in the interior of $K$ which belongs to at least $2n$ normals from different points on boundary $K$. The conjecture known be true $n=2,3,4$. Motivated by recent results Y. Martinez-Maure, and an approach A. Grebennikov G. Panina, we prove following: Let compact smooth $m$-dimensional manifold $M^...

BACKGROUND Data on ESBL carriage of healthy people including children are scarce especially in developing countries. We analyzed the prevalence and genotypes of ESBL-producing Enterobacteriaceae (EPE) in Tanzanian street children with rare contact to healthcare facilities but significant interactions with the environment, animals and other people. METHODOLOGY/ PRINCIPLE FINDINGS Between April...

In order to evaluate the clinical usefulness of serum and urinary beta 2 microglobulin (beta 2-m) determination as a marker of renal damage following perinatal asphyxia, twenty asphyxiated and twenty healthy full term newborns were studied. Renal function was monitored on the first and third day after birth by traditional tests such as creatinine (Cr), endogenous creatinine clearance (Ccr), and...

We describe five mouse tubulin cloned cDNAs, two (M alpha 1 and M alpha 2) that encode alpha-tubulin and three (M beta 2, M beta 4, and M beta 5) that encode beta-tubulin. The sequence of these clones reveals that each represents a distinct gene product. Within the sequence common to the two alpha-tubulin cDNAs, the encoded amino acids are identical, though the 3' noncoding regions are wholly d...

in this paper‎, ‎we study some properties of analytic extension of a $n$th roots of $m$-hyponormal operator‎. ‎we show that every analytic extension of a $n$th roots of $m$-hyponormal operator is subscalar of order $2k+2n$‎. ‎as a consequence‎, ‎we get that if the spectrum of such operator $t$ has a nonempty interior in $mathbb{c}$‎, ‎then $t$ has a nontrivial invariant subspace‎. ‎finally‎, ‎w...

Spontaneous contractile force of muscle strips isolated from male rabbit urinary bladder dome (detrusor) and base (trigonal muscle) was significantly inhibited by isoproterenol (10(-7)-10(-5) M), a non-specific beta-adrenoceptor agonist or by terbutaline (10(-8)-10(-5) M), a selective beta 2-adrenoceptor agonist. The EC50 values for isoproterenol and terbutaline in detrusor were the same as tho...

Let $G=(V,E)$ be a simple connectedgraph with $n$ vertices, $m$ edges and sequence of vertex degrees$d_1 ge d_2 ge cdots ge d_n>0$, $d_i=d(v_i)$, where $v_iin V$. With $isim j$ we denote adjacency ofvertices $v_i$ and $v_j$. The generalsum--connectivity index of graph is defined as $chi_{alpha}(G)=sum_{isim j}(d_i+d_j)^{alpha}$, where $alpha$ is an arbitrary real<b...

Let $${\mathbb {K}}= {\mathbb {R}}$$ or {C}}$$ . We study basic invariants of submanifolds solutions $${\mathscr {M}} = \{ y Q(x,a,b)\} \{b P(a,x,y)\}$$ in coordinates $$x \in {K}}^{n\geqslant 1}$$ , $$y {K}}$$ $$a {K}}^{m\geqslant $$b under split-diffeomorphisms $$(x,y,a,b) \,\longmapsto \, \big ( f(x,y),\,g(x,y),\,\varphi (a,b),\,\psi (a,b) )$$ Two Levi forms exist, and have the same rank $$r...