Background: Nasopharyngeal carcinoma (NPC) ranks first for head and neck malignancies, radiotherapyis a recommended treatment. Most post-radiotherapy NPC patients experience oropharyngeal dysphagia thatresults in pharyngeal residue. Pharyngeal residue is thought to be risk factor aspiration-penetration.Objective: Examining the correlation between penetration-aspiration postradiotherapy patients...

For an element $r$ of a ring $R$, Diophantine $D(r)$ $m$-tuple is $(a_1,a_2,\ldots,a_m)$ elements $R$ such that for all $i,j$ with $i\neq j$, $a_ia_j+r$ perfect square in $R$. In this article, we compute and estimate the measures sets $m$-tuples $\mathbb{Z}_p$ $p$-adic integers, as well its residue field $\mathbb{F}_p$.

Introduction. Until recently none of the numerous papers on the distribution of quadratic and higher power residues was concerned with questions of the following sort: Let k and m be positive integers. According to a theorem of Brauer (1), for every sufficiently large prime p there exist m consecutive positive integers r, r + l , . . . , r + m — 1, each of which is a &th power residue of p. Let...

OBJECTIVE This study was to examine in vivo digestibility, nitrogen balance and ruminal fermentation of tamarind (Tamarind indica) kernel powder extract residue (TKPER) compared to soybean products and by-products in wethers. METHODS Four wethers with initial body weight (BW) of 51.6±5.5 kg were assigned in a 4×4 Latin square design to investigate nutritional characteristics of TKPER, dry hea...

improvement of soil properties through sustainable agriculture requires suitable management of plant residues. this study was conducted to investigate the effect of different types and managements of plant residue on soil physical properties in a field experiment as factorial based on rcbd with three replicates. the first factor was residue type including barley straw and alfalfa residue, and t...

Let $p$ be a prime. $R$ regular local ring of dimension $d\ge 2$ whose completion is isomorphic to $C(k)[[x_1,\ldots,x_d]]/(h)$, with $C(k)$ Cohen the same residue field $k$ as and $h\in C(k)[[x_1,\ldots,x_d]]$ such that its reduction modulo does not belong ideal $(x_1^p,\ldots,x_d^p)+(x_1,\ldots,x_d)^{2p-2}$ $k[[x_1,\ldots,x_d]]$. We extend result Vasiu-Zink (for $d=2$) show each Barsotti-Tate...

In an extended abstract [20], Ressayre considered real closed exponential fields and integer parts that respect the exponential function. He outlined a proof that every real closed exponential field has an exponential integer part. In the present paper, we give a detailed account of Ressayre’s construction. The construction becomes canonical once we fix the real closed exponential field R, a re...

We announce some new results about systems of residue sets. A residue set R C Z is an arithmetic progression R = {a,a±n,a± 2n,...}. The positive integer n is referred to as the modulus of R. Following Znam [21] we denote this set by a(n). We need several number-theoretic functions. p(ra)-the least prime divisor of a natural number ra, P(m)-the greatest prime divisor of ra, A(m)-the greatest div...

Let f(z) = 1 z+2z+2 and note that on the real axis f corresponds to the integrand above. From the equation x2 + 2x + 2 = 0 and the quadratic formula, we find that the singularities of f are −1± i and both are clearly simple poles. Let R > √ 2, c1 : z = x (−R ≤ x ≤ R), and c2 : z = Re (0 ≤ θ ≤ π). Then c = c1+c2 is a simple closed contour that contains −1+i in its interior (see figure). By the R...