Smooth values of polynomials

Given $f\in \mathbb{Z}[t]$ of positive degree, we investigate the existence of auxiliary polynomials $g\in \mathbb{Z}[t]$ for which $f(g(t))$ factors as a product of polynomials of small relative degree. One consequence of this work shows that for any quadratic polynomial $f\in\mathbb{Z}[t]$ and any $\epsilon > 0$, there are infinitely many $n\in\mathbb{N}$ for which the largest prime factor of $f(n)$ is no larger than $n^{\epsilon}$

Additional file 8: Table S6. of Timing of delivery in a high-risk obstetric population: a clinical prediction model

Sensitivity analysis of the final model restricting to women <32 weeks. (DOCX 14 kb

Additional file 5: Figure. S2. of Timing of delivery in a high-risk obstetric population: a clinical prediction model

Corrected calibration curve of the final model after internal validation. (DOCX 27 kb

Additional file 1: Table S1. of Timing of delivery in a high-risk obstetric population: a clinical prediction model

A list of all members of the collaborative group in CPN. (DOCX 13 kb

Additional file 7: Table S5. of Timing of delivery in a high-risk obstetric population: a clinical prediction model

Sensitivity analysis of the final model among singleton and multiple pregnancies. (DOCX 13 kb

Additional file 3:Figure S1. of Timing of delivery in a high-risk obstetric population: a clinical prediction model

Kaplan-Meier curve showing the proportion of women who remained pregnant from the time that they were admitted to hospital and identified as being at risk of delivery within 7 days. (DOCX 26 kb

Additional file 1: Figure S1. of MAGnesium sulphate for fetal neuroprotection to prevent Cerebral Palsy (MAG-CP)—implementation of a national guideline in Canada

Between-centre variability of optimal, under and suboptimal uses of MgSO4 among the 11 participating centres. Figure S2. Trend of antenatal corticosteroid administration over time among women with underuse of MgSO4 as a proxy for non-precipitous deliveries. Figure S3. Variability of MgSO4 use for fetal neuroprotection among MAG-CP centres (represented by the blue triangles) and non-MAG-CP centres (represented by the green circles). Table S1. MAG-CP (MAGnesium sulphate for fetal neuroprotection to prevent Cerebral Palsy), CPN (Canadian Perinatal Network) and CNN (Canadian Neonatal Network) collaborative groups. Table S2. Definitions of conditions and variables as used in the Canadian Perinatal Network (CPN). Table S3. Geographic regions of participating centres in the Canadian Perinatal Network (CPN). Table S4. Absolute utilisation rates of MgSO4 for fetal NP by study time period (from August 01/05 to September 30/15). Table S5. Segmented regression analysis of the nine centres that contributed data to both pre-MAG-CP and MAG-CP eras. Table S6. Sensitivity analyses of overall utilisation rates of MgSO4 using data from the nine centres that contributed data to both pre-MAG-CP and MAG-CP eras. Table S7. Determinants of engagement of participating sites in MAG-CP. Table S8. Components of engagement and relation to optimal use. Table S9. Antenatal MgSO4 use at GA 24–31+6 weeks by indication, from Jan 1/11 to Sep 30/15. (DOCX 281 kb

Neonatal outcomes of preterm twins according to mode of birth and presentation

<p><b>Purpose:</b> To compare neonatal outcomes of twins delivered <33 weeks’ gestation in tertiary centers in Canada according to the mode of birth and presentation.</p> <p><b>Materials and methods:</b> This retrospective cohort from the Canadian Neonatal Network database studied preterm twins born from 24 + 0 to 32 + 6 weeks’ gestation between 2005 and 2012. Twins were grouped by the mode of birth: both vaginal, combined vaginal/cesarean section (CS), and both CS. Additionally, twins were grouped by the mode of presentation: both vertex, vertex/breech, breech/vertex, and both breech. The primary outcome was a composite of mortality or severe neonatal morbidity (severe neurological injury [intraventricular hemorrhage grade 3/4 or periventricular leukomalacia], bronchopulmonary dysplasia, retinopathy of prematurity, and necrotizing enterocolitis).</p> <p><b>Results:</b> Of the 6636 twins, 1934 (29%) were delivered vaginally, 418 (6%) by combined vaginal birth/CS, and 4284 (65%) were born by CS. The composite did not differ between the groups. However, severe neurological injury was decreased (adjusted odds ratio [AOR], 0.77; 95% confidence interval [CI], 0.61–0.98) and respiratory distress syndrome (AOR, 1.34; 95%CI, 1.15–1.56) was increased when both the twins were delivered by CS.</p> <p><b>Conclusions:</b> Preterm twin infants born via CS experienced less severe neurological injury when compared to those delivered vaginally, but had an increase in respiratory distress syndrome.</p

Additional file 1: Table S1. of Magnesium sulphate for fetal neuroprotection: benefits and challenges of a systematic knowledge translation project in Canada

The MAG-CP (MAGnesium sulphate for prevention of Cerebral Palsy) Collaborative Group. Table S2: Ethical approval numbers by site. Table S3: Barriers and Facilitators Survey. Table S4: Comparison of nodes and sub-nodes between final analysis (by KCT and KC) and re-analysis (by DAD). Panel S2: Final NVivo coding list (nodes and sub-nodes) for analysis. Panel S3: Nature of knowledge identified as needed by respondents (N (%) responses). (DOCX 101 kb

Additional file 2: Panel S1. of Magnesium sulphate for fetal neuroprotection: benefits and challenges of a systematic knowledge translation project in Canada

Discussion forum and course evaluation questions from the e-learning module for MgSO4 for fetal neuroprotection used in data coding and analysis. (DOCX 13.7 KB