Let $\mathscr {T}$ be a well generated triangulated category, and let $S\subset \mathscr set of objects. We prove that there is $t$-structure on with {T}^{\leq 0}=\overline {\langle S \rangle }^{(-\infty ,0]}$. This article an improvement the main result Alonso, Jeremías Souto [Trans. Amer. Soc. 355 (2003), pp. 2523–2543], in which theorem was proved under assumption has nice enough model. I...

Large sets of orthogonal arrays (LOA) have been used to construct resilient functions and zigzag functions by D. R. Stinson. In this paper, a construction of pandiagonal t-multimagic squares of order n (PMS(n, t)) based on a special kind of LOA called quadruple LOA is presented. As its application, it is shown that there exists a PMS(q, t) for all odd prime power q ≥ 4t− 1 with t ≥ 2, which pro...

Aim: The aim of the study is to compare efficacy oral and parenteral bisphosphonates used in treatment postmenopausal osteoporosis.
 Material Methods: Patients older than 50 years who were diagnosed with OP treated or bisphosphonate between 2016 2019 included study. patients grouped by treatment; 80 receiving divided into two groups as group ‘O’ ‘P’, respectively. results second-year 160 p...

Consider a family of smooth immersions F (·, t) : M → R of closed hypersurfaces in R moving by the mean curvature flow ∂F (p,t) ∂t = −H(p, t) ·ν(p, t), for t ∈ [0, T ). We show that at the first singular time of the mean curvature flow, certain subcritical quantities concerning the second fundamental form, for example ∫ t 0 ∫ Ms |A| log(2+|A|)dμds, blow up. Our result is a log improvement of re...

BACKGROUND Combination laser treatments can potentially increase the effectiveness of treatment without the additional downtime associated with another procedure. OBJECTIVE To assess the effectiveness and safety of combining non-ablative fractional treatments with optimized intense pulsed light. METHODS AND MATERIALS Ten subjects (Group A) received full face treatments with a non-ablative f...

with equality if and only if f and g are proportional. For p <0, we assume that f(x), g (x) >0. An (almost) improvement of Minkowski’s inequality, for p Î R\{0}, is obtained in the following Theorem: Theorem 1.2 Let f(x), g(x) ≥ 0 and p >0, or f(x), g(x) >0 and p <0. Let s, t Î R\{0}, and s ≠ t. Then (i) Let p, s, t Î R be different, such that s, t >1 and (s t)/(p t) >1. Then ∫ (f (x)+g(x))pdx ...

A scaling theory of the sub atto-molar (aM) detection limits of magnetic particle (MP) based biosensors (e.g., bio-barcode assays) is developed and discussed. Despite the dramatic differences of sensing protocols and detection limits, the MP-based sensors can be interpreted within the same theoretical framework as any other classical biosensor (e.g., nanowire sensors), except that these sensors...

OBJECTIVES To investigate the expression profile of programmed death-1 (PD-1) on T cells derived from patients with cutaneous T-cell lymphoma (CTCL), analyze a potential mechanism responsible for upregulation of PD-1, and assess the correlation between blockade of its signaling pathway and improvement in immunological function. DESIGN Translation research study. SETTING University medical c...

With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it some involved two-loop electroweak corrections ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}HZ$, QCD $3j$, $W/Z/H+2j$, $t\overline{t}H$ and $4j$ production at hadron colliders, three-loop $t\overline{t}$ all of whi...