objectives : the aim of this study was to compare apical sealing ability of alpha and beta phases of gutta-percha by means of bacterial leakage model. materials and methods: fifty single-rooted human premolars were selected. the root canals were prepared with mtwo rotary instruments up to apical #35.04. forty teeth were randomly divided into two groups (n= 20). the root canals were obturated by...

We employ a realistic nuclear mean-field theory using the phenomenological, Woods-Saxon Hamiltonian with newly adjusted parameters containing no parametric correlations; originally present correlations are removed employing Monte Carlo approach. find very large neutron shell gaps at $N=136$ for all four octupole deformations ${\ensuremath{\alpha}}_{3\ensuremath{\mu}=0,1,2,3}$. These generate we...

We present a framework that resums threshold enhanced large logarithms to all orders in perturbation theory for the production of pair leptons Drell-Yan process and Higgs boson gluon fusion as well bottom quark annihilation. restrict ourselves contributions from diagonal partonic channels. These include distributions $((1\ensuremath{-}z{)}^{\ensuremath{-}1}{\mathrm{ln}}^{i}(1\ensuremath{-}z){)}...

In this paper we strengthen to Morrey-Lorentz spaces the famous trace principle introduced by Adams. More precisely, show that Riesz potential $I_{\alpha}$ is continuous \begin{equation} \Vert I_{\alpha}f\Vert_{\mathcal{M}_{q, \infty}^{\lambda_{\ast}}(d\mu)}\lesssim \Arrowvert\mu\Arrowvert_{\beta}^{{1}/{q}}\,\Vert f\Vert_{\mathcal{M}_{p, \infty}^{\lambda}(d\nu)}\nonumber\\[0.02in] \end{equation...

Abstract Given a family $\mathcal{F}$ of bipartite graphs, the Zarankiewicz number $z(m,n,\mathcal{F})$ is maximum edges in an $m$ by $n$ graph $G$ that does not contain any member as subgraph (such called -free ). For $1\leq \beta \lt \alpha 2$ , graphs $(\alpha,\beta )$ - smooth if for some $\rho \gt 0$ and every $m\leq n$ $z(m,n,\mathcal{F})=\rho m n^{\alpha -1}+O(n^\beta . Motivated their w...

A bstract We study the perturbative structure of threshold enhanced logarithms in coefficient functions deep inelastic scattering (DIS) and semi-inclusive e + ? annihilation (SIA) processes setup a framework to sum them up all orders perturbation theory. Threshold show as distributions ((1 ?z ) 1 log i (1 )) from soft plus virtual (SV) next SV (NSV) contributions. use Sudakov differential renor...

Abstract In this paper, we will introduce the ‘grid method’ to prove that extreme case of oscillation occurs for averages obtained by sampling a flow along sequence times form $\{n^\alpha : n\in {\mathbb {N}}\}$ , where $\alpha $ is positive non-integer rational number . Such behavior known as strong sweeping-out property By using same method, give an example general class sequences which satis...

Motivated by reformulating Yangian invariants in planar ${\cal N}=4$ SYM directly as $d\log$ forms on momentum-twistor space, we propose a purely algebraic problem of determining the arguments $d\log$'s, which call "letters", for any invariant. These are functions momentum twistors $Z$'s, given positive coordinates $\alpha$'s parametrizations matrix $C(\alpha)$, evaluated support polynomial equ...

PURPOSE The use of an alpha emitter for radioimmunotherapy has potential advantages compared with beta emitters. When administered systemically optimal targeting of intact antibodies requires >24 h, therefore limiting the use of short-lived alpha emitters. This study investigated the biodistribution of bismuth-labeled biotin in A431 tumor-bearing mice pretargeted with antibody B3-streptavidin (...