ON THE DIVISOR PRODUCT SEQUENCES

The main purpose of this paper is to study the asymptotic property of the divisor product sequences, and obtain two interesting asymptotic formulas

An inequality of the Smarandache function

Abstract For any positive integer n, the famous Smarandache function S(n) is defined as the smallest positive integer m such that nIm!

The relationship between Sp(n) and Sp(kn)

For any positive integer n, let Sp(n) denotes the smallest positive integer such that Sp(n)! is divisible by p n, where p be a prime. The main purpose of this paper is using the elementary methods to study the relationship between Sp(n) and Sp(kn), and give an interesting identity

Wave Breaking for the Modified Two-Component Camassa-Holm System

Some new sufficient conditions to guarantee wave breaking for the modified two-component Camassa-Holm system are established

Wave Breaking for the Modified Two-Component Camassa-Holm System

Some new sufficient conditions to guarantee wave breaking for the modified two-component Camassa-Holm system are established

Biomechanical Analysis of the Fixation System for T-Shaped Acetabular Fracture

This study aims to evaluate the biomechanical mechanism of fixation systems in the most frequent T-shaped acetabular fracture using finite element method. The treatment of acetabular fractures was based on extensive clinical experience. Three commonly accepted rigid fixation methods (double column reconstruction plates (P × 2), anterior column plate combined with posterior column screws (P + PS), and anterior column plate combined with quadrilateral area screws (P + QS)) were chosen for evaluation. On the basis of the finite element model, the biomechanics of these fixation systems were assessed through effective stiffness levels, stress distributions, force transfers, and displacements along the fracture lines. All three fixation systems can be used to obtain effective functional outcomes. The third fixation system (P + QS) was the optimal method for T-shaped acetabular fracture. This fixation system may reduce many of the risks and limitations associated with other fixation systems

A meta-analysis of the effects of levothyroxine dose adjustment on maternal and infant outcomes in pregnant women with hypothyroidism

Objective·To evaluate the effects of levothyroxine (L-T4) dose adjustment according to the level of thyroid stimulating hormone (TSH) on maternal and infant outcomes in the pregnant women with hypothyroidism by meta-analysis.Methods·China National Knowledge Infrastructure (CNKI), China Science and Technology Journal Database (VIP), Wanfang Data Knowledge Service Platform, PubMed, Cochrane Library and Embase were retrieved to collect all the controlled studies on the treatment of pregnant women with hypothyroidism by adjusting the dose of L-T4 according to TSH level from the establishment of the databases to April 9, 2022. The references were also traced. Literature screening, data extraction, and quality evaluation were performed independently by two researchers. Cochrane evaluation was used to evaluate the quality of the included literature. Outcome indicators included gestational hypertension, gestational diabetes, postpartum hemorrhage, delivery mode, preterm birth, fetal death, neonatal asphyxia, and low birth weight infants. RevMan 5.3 was used for meta-analysis.Result·A total of 1 268 articles were retrieved from 6 databases, and 8 were included in the study, including 4 Chinese articles and 4 English articles. The overall risk of study bias was at a moderate level. Compared with the control group, the OR of gestational diabetes risk was 0.61 (95%CI 0.44‒0.86, P=0.004) and the OR of fetal death risk was 0.38 (95%CI 0.18‒0.81, P=0.010) in the experimental group with L-T4 dose adjusted according to the TSH level of the pregnant women with hypothyroidism, which were both statistically significant. However, the treatment method of adjusting L-T4 dose did not affect the risks of vaginal delivery [OR=1.82 (95%CI 0.75‒4.40, P=0.180)], gestational hypertension [OR=0.77 (95%CI 0.53‒1.12, P=0.170)], postpartum hemorrhage [OR=1.20 (95%CI 0.50‒2.92, P=0.680)], preterm birth [OR=0.72 (95%CI 0.48‒1.06, P=0.100)], low birth weight infants [OR=1.00 (95%CI 0.65‒1.54, P=0.999)], or neonatal asphyxia [OR=0.50 (95%CI 0.20‒1.27, P=0.150)] significantly.Conclusion·Adjusting the L-T4 therapeutic dose according to the TSH level may help reduce the risks of gestational diabetes and fetal death in the pregnant women with hypothyroidism