Analysis and approximations for crossing two nearby spin resonances

N/

Accurate and efficient spin integration for particle accelerators

Accurate spin tracking is a valuable tool for understanding spin dynamics in particle accelerators and can help improve the performance of an accelerator. In this paper, we present a detailed discussion of the integrators in the spin tracking code gpuSpinTrack. We have implemented orbital integrators based on drift-kick, bend-kick, and matrix-kick splits. On top of the orbital integrators, we have implemented various integrators for the spin motion. These integrators use quaternions and Romberg quadratures to accelerate both the computation and the convergence of spin rotations. We evaluate their performance and accuracy in quantitative detail for individual elements as well as for the entire RHIC lattice. We exploit the inherently data-parallel nature of spin tracking to accelerate our algorithms on graphics processing units.Comment: 43 pages, 17 figure

Evaluation of non-linear models to describe development and fertility of codling moth at constant temperatures

Μελετήθηκε η ανάπτυξη των ατελών σταδίων και η γονιμότητα των θηλέων της καρπόκαψας της μηλιάς Cydia pomonella (Linnaeus) (Lepidoptera: Tortricidae) σε σταθερές θερμοκρασίες. Για την καλύτερη περιγραφή των δύο αυτών βιολογικών παραμέτρων ακολούθησε αξιολόγηση μη γραμμικών μαθηματικών υποδειγμάτων η οποία, εκτός από τον συντελεστή προσδιορισμού (R2) και το άθροισμα τετραγώνων του υπολοίπου (RSS), βασίστηκε επιπλέον και στον προσαρμοσμένο συντελεστή προσδιορισμού (R2adj) και στο πληροφοριακό κριτήριο του Akaike (Akaike information criterion - AIC). Δοκιμάστηκαν οι εξισώσεις των Enkegaard, Αναλυτή, Bieri 1 και Bieri 2, οι οποίες έδειξαν καλή προσαρμογή στα δεδομένα, ιδιαίτερα της ανάπτυξης των ατελών σταδίων [R2, R2adj, RSS και AIC κυμάνθηκαν από 0,9673-0,9917, 0,8601-0,9861, 0,08-6,7x10-4 και (-75,29) – (-46,26) αντίστοιχα]. Η ιδανική θερμοκρασία ανάπτυξης (Topt) και το ανώτερο θερμοκρασιακό όριο (Tmax) υπολογίστηκαν ικανοποιητικά από όλα τα πρότυπα (Topt: 29,9-31,2oC και Tmax: 35,9-36,7oC). Το κατώτερο θερμοκρασιακό όριο (Tmin) υπολογίστηκε ικανοποιητικά από την εξίσωση Bieri-1 (9,9-10,8oC) ενώ υποεκτιμήθηκε από την εξίσωση Αναλυτή (7,0-8,4oC). Στα δεδομένα της γονιμότητας υπήρξε καλύτερη προσαρμογή στους 30oC, (δηλαδή κοντά στην ιδανική θερμοκρασία) [R2 ,R2adj, RSS και AIC κυμάνθηκαν από 0,6966-0,7744, 0,5756-0,6455, 2,44-3,33 x10-4 και (-9,15)-7,15 αντίστοιχα].Developmental rate of immature stages and age-specific fertility of females of codling moth at constant temperatures was modeled using non-linear models. The equations of Enkegaard, Analytis, and Bieri 1 and 2 were evaluated based on the value of adjusted R2 (R2adj) and Akaike information criterion (AIC) besides coefficient of determination (R2) and residual sum of squares (RSS). All models have goodness of fit to data especially for development [R2, R2adj, RSS and AIC ranged 0.9673-0.9917, 0.8601-0.9861, 0.08-6.7x10-4 and (-75.29) – (-46.26) respectively]. Optimum temperature (Topt) and upper threshold (Tmax) were calculated accurately (Topt and Tmax ranged 29.9-31.2oC and 35.9-36.7oC) by all models. Lower temperature threshold (Tmin) was calculated accurately by Bieri-1 model (9,9-10,8oC) whereas Analytis model (7,0-8,4oC) underestimated it. As far as fertility is concerned the respective values were better fitted near the optimum temperature (in 30oC) [R2 ,R2adj, RSS and AIC ranged 0,6966-0,7744, 0,5756-0,6455, 2,44-3,33 x10-4 and (-9,15)-7,15 respectively]

Comparison of facilitated tucking and oral dextrose in reducing the pain of heel stick in preterm infants: A randomized clinical trial

Background: With the increase in hospitalization of premature infants in emergency departments and the painful procedure in these sectors, appropriate methods of pain relief are required. This study aimed to compare the effect of oral dextrose and facilitated tucking in the reduction of pain during heel sticks in premature infants and assess their effectiveness and feasibility for use in emergency settings. Methods: This study was a randomized controlled clinical trial with cross-over design. Sixty infants were recruited from a Neonatal Intensive Care Unit (NICU) at Valiasr hospital in Tehran, Iran from March 2015 to September 2016. They were randomly allocated into three groups (no pain relief method, oral dextrose and facilitated tucking). Six blood samples were collected by heel stick for each infant. Oral dextrose and facilitated tucking were compared with the routine method of blood sampling and pain was measured two times for each method. The pain scores was measured by the Premature Infant Pain Profile (PIPP). Repeated Measure ANOVA, ANOVA and Scheffe post-hoc test were used with SPSS 16. Results: The pain score's increase during heel stick was significantly lower after using oral dextrose (3.58 ± 0.34) and facilitated tucking (5.58 ± 0.53) in comparison to the routine method (8.91 ± 0.18) of blood sampling (P < 0.001, η2 = 0.971). Oral dextrose was more effective than facilitated tucking (P < 0.001, Cohen's d = 4.49). The emergency nurses rated oral dextrose as easier (t = 2.20, df = 118, p = 0.02, Cohen's d = 0.39) and more applicable method (t = 2.99, df = 118, p = 0.003, Cohen's d = 0.54) for the emergency department. Conclusions: Facilitated tucking is an effective method of pain reduction which can be used in the absence of oral dextrose, in a situation in which it is contraindicated or in combination with oral dextrose. Based on the increase of infant's admission in emergency department future studies are needed to identify the best method of pain reduction for procedures in this setting. Trial registration: Current Controlled Trials IRCT201408029568N9, 2014-09-08. © 2020 The Author(s)