Identifying the Most Successful Formula 1 Drivers in the Turbo Era

Background: Formula 1 is the world’s fastest auto racing circuit and one that is among the most-watched of all televised sports. With its international flair and glamor and the glitz it brings to viewers and spectators, it is no surprise that fans, commentators, and media covering the races enjoy ranking the most successful teams and especially the most successful drivers of all time. Yet, there are few empirical studies that have developed and/or applied rigorous methodological techniques to examine which drivers are the most successful within the recent turbo-hybrid era. Objective: This study uses novel group-based trajectory methods to rank the most successful drivers within the turbo area, 2014-2019. Methods: Group-based trajectory methods are used to identify distinct groups of drivers according to accumulated points. Results: Using total points accumulated during each respective season as our measure of success, results showed that the 45 drivers who competed during this time period could be classified into three groups, with the top-performing group of drivers being Lewis Hamilton and Nico Rosberg. A second better-performing group of six drivers followed and included Bottas, LeClerc, Räikkönen, Ricciardo, Verstappen, and Vettel. The remaining 37 drivers were classified into a third low-performing group, a great number of which scored zero points during the time period. Conclusion: The most successful Formula 1 drivers during the turbo era were able to be identified using group-based trajectory modeling, with Lewis Hamilton and Nico Rosberg identified as the best drivers based on accumulated points.

Trajectory research in children on the autism spectrum: a scoping review protocol

IntroductionLongitudinal trajectory methods, featuring outcome assessments at three or more time points, are increasingly being used as appropriate approaches to understand developmental pathways of people on the autism spectrum across the lifespan. Understanding the scope of this rapidly expanding body of research can help inform future trajectory studies and identify areas for potential meta-analysis as well as key evidence gaps. We present the protocol for a scoping review whose objective is to identify and summarise the scope of research that uses a longitudinal trajectory study design to examine development in children diagnosed with autism. Specifically, we will identify outcome domains and age intervals that have been well characterised, areas where further research is needed and the historical use of various longitudinal trajectory analytical approaches.Methods and analysisWe outline the methods for the proposed scoping review according to the framework outlined by Arksey and O’Malley, with subsequent clarifications and enhancements by other authors. Using a search strategy developed by a medical librarian, we will search six databases for relevant publications. Titles and abstracts will be screened in duplicate, followed by full-text screening. Data extraction fields developed predominantly a priori from a set of guiding subquestions will be used to chart relevant data. The findings will include quantitative aggregate summaries, narrative summaries, and appraisal of trajectory studies according to our methodological subquestions. We will consult autistic self-advocate and parent–caregiver stakeholders to facilitate interpretation of the findings.Ethics and disseminationResearch ethics approval is not required for this scoping review. The results will be presented to researcher, care professional, policy-maker and stakeholder audiences at local and international conferences, other dissemination activities and published in a peer-reviewed journal.

The Effect of Judgement Bias on Cue Utilization for Shot Prediction in Basketball Athletes

Background: Concerning the judgments bias and cue utilization in basketball athletes, previous shot anticipation tasks were hard to examine in regards to whether the experts’ judgement bias relies more on the cue of the player’s body or the ball trajectory. Methods: Four types of body–ball cues shots were employed: IN–IN, IN–OUT, OUT–IN, and OUT–OUT. Four temporal stages (i.e., shooting, rising, high point, and falling) were divided during a shot. Forty-two participants predicted the fate of the ball after watching the shot videos. Results: The results suggested that for the shooting, rising, and high point phase, compared to the non-athletes, the experts provided superior predictions for IN–IN condition and OUT–IN condition but fewer accurate predictions for IN–OUT condition and OUT–OUT condition. Moreover, a higher bias toward predicting the shots as “in” for the athletes than the non-athletes under early temporal conditions was confirmed. Conclusions: These findings strengthen the idea that the IN cues from both body information and ball trajectory could elicit the experts’ judgement bias for made shots and then influence their response, thus rendered two distinct (e.g., impeding and facilitating) effects for the incongruent body–ball cues, respectively.

Electron Trajectories in Molecular Orbitals

The time-dependent Schrödinger equation can be rewritten so that its interpretation is no longer probabilistic. Two well-known and related reformulations are Bohmian mechanics and quantum hydrodynamics. In these formulations, quantum particles follow real, deterministic trajectories influenced by a quantum force. Generally, trajectory methods are not applied to electronic structure calculations, since they predict that the electrons in a ground state, real, molecular wavefunction are motionless. However, a spin-dependent momentum can be recovered from the non-relativistic limit of the Dirac equation. Therefore, we developed new, spin-dependent equations of motion for the quantum hydrodynamics of electrons in molecular orbitals. The equations are based on a Lagrange multiplier, which constrains each electron to an isosurface of its molecular orbital, as required by the spin-dependent momentum. Both the momentum and the Lagrange multiplier provide a unique perspective on the properties of electrons in molecules.

Electron Trajectories in Molecular Orbitals

The time-dependent Schrödinger equation can be rewritten so that its interpretation is no longer probabilistic. Two well-known and related reformulations are Bohmian mechanics and quantum hydrodynamics. In these formulations, quantum particles follow real, deterministic trajectories influenced by a quantum force. Generally, trajectory methods are not applied to electronic structure calculations, since they predict that the electrons in a ground state, real, molecular wavefunction are motionless. However, a spin-dependent momentum can be recovered from the non-relativistic limit of the Dirac equation. Therefore, we developed new, spin-dependent equations of motion for the quantum hydrodynamics of electrons in molecular orbitals. The equations are based on a Lagrange multiplier, which constrains each electron to an isosurface of its molecular orbital, as required by the spin-dependent momentum. Both the momentum and the Lagrange multiplier provide a unique perspective on the properties of electrons in molecules.

Electron Trajectories in Molecular Orbitals

The time-dependent Schrödinger equation can be rewritten so that its interpretation is no longer probabilistic. Two well-known and related reformulations are Bohmian mechanics and quantum hydrodynamics. In these formulations, quantum particles follow real, deterministic trajectories influenced by a quantum force. Generally, trajectory methods are not applied to electronic structure calculations, since they predict that the electrons in a ground state, real, molecular wavefunction are motionless. However, a spin-dependent momentum can be recovered from the non-relativistic limit of the Dirac equation. Therefore, we developed new, spin-dependent equations of motion for the quantum hydrodynamics of electrons in molecular orbitals. The equations are based on a Lagrange multiplier, which constrains each electron to an isosurface of its molecular orbital, as required by the spin-dependent momentum. Both the momentum and the Lagrange multiplier provide a unique perspective on the properties of electrons in molecules.

Patient perspectives on treatment, care and rehabilitation after hip fracture: A meta-aggregative systematic review

Background: Hip fracture surgery is a distressing and life-changing event for patients. The treatment, care and rehabilitation of hip fracture patients governed by evidence-based recommendations, the patients’ preferences are often not represented. The aim of this systematic review is to identify elderly hip fracture patients’ priorities during their care trajectory. Methods: A meta-aggregative approach was applied to present findings on patient perspectives. Data were extracted from the findings in the Results section of each study, categorized by similarity in meaning by both authors as either “health-related outcomes” or “healthcare-related experiences”. The quality of the presented evidence was evaluated, and all studies were assessed using the Critical Appraisal Skills Programme (CASP) checklist.Results: Sixteen qualitative studies met the inclusion criteria. The health-related outcomes category included: 1) symptoms and complications, 2) physical health, 3) mental health and 4) social relationships and 5) personal goals. Healthcare-related experiences revolved around: 1) waiting time, 2) information, 3) being treated with respect, 4) participation and 5) discharge.Conclusions: This systematic review provides an overview of hip fracture patients’ perspectives on important aspects of care, treatment and training during their trajectory, thereby contributing to the development of a patient-derived measure of hip fracture.