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We develop analogues of Green’s $N_p$ conditions for subvarieties of weighted projective space, and we prove that such $N_p$ conditions are satisfied for high degree embeddings of curves in weighted projective space. A key technical result links positivity with low degree (virtual) syzygies in wide generality, including cases where normal generation fails.
Is travel to the past possible or does it harbour some hidden contradiction? It seems that if time travel is possible, a man could travel back in time and kill his grandfather before his father was conceived. Yet this is impossible. This conundrum has become known as the Grandfather Paradox. Some philosophers have attempted to defuse the paradox, and yet others have argued that the standard resolution of the paradox is open to a charge of incoherence. I argue that this charge is ungrounded.
China frequently accuses Western governments of interfering in its domestic affairs. International lawyers might be inclined to dismiss these accusations as cynical misrepresentations of the doctrine of non-intervention. This article questions that view, drawing on Chinese State practice and recent Chinese literature. It argues that China propagates a new and distinctive approach to the doctrine of non-intervention, by which the doctrine changes depending on who is interfering with whom, in what context and for what purpose. This approach could also be increasingly useful to Western governments who seek to challenge pernicious forms of foreign influence over liberal democratic processes. Hence, Chinese and non-Chinese approaches to non-intervention might converge. This approach arguably reflects the concerns that originally animated the doctrine and is in line with ideas that have been advocated for by non-aligned States for at least 70 years. Whether this is a desirable development is another question. The article concludes with a critique of the new doctrine of non-intervention.
To maintain procedural proficiency and certification according to the standards set by The Joint Commission—which accredits health care centers in the United States—thrombectomy-capable stroke centers (TSCs) must achieve a minimum annual procedural volume. The addition of thrombectomy-capable centers in a regional stroke care system has the potential to increase access but also to decrease patient presentations and procedural volume at nearby centers. This study sought to characterize the impact of certifying additional thrombectomy-capable centers on procedural volume by center in a large, urban Emergency Medical Services (EMS) system.
Methods:
Data were collected from each designated thrombectomy-capable center in Los Angeles (LA) County from January 1, 2018 through June 30, 2022, during which a net total of five thrombectomy-capable centers were newly designated in the County. Per center volume for ischemic stroke presentations, intravenous (IV) thrombolysis administrations (IV tissue plasminogen activator [tPA]), and thrombectomy were tabulated by six-month interval. Median last-known-well-to-procedure times by LA County Public Health service planning area (SPA) were calculated. The effect of the number of designated centers on procedural volumes per center and median last-known-well-to-procedure times were analyzed via a linear mixed effects model with a log link function.
Results:
Procedural volume, ischemic stroke presentation volume, and last-known-well-to-procedure times had high variability over the time period studied. Nonetheless, the median values for each metric in this EMS system remained largely stable over the study period. There was no statistically significant association between the number of thrombectomy-capable centers and per center procedural volumes or times-to-procedure.
Conclusion:
The designation of additional thrombectomy-capable centers in a regional stroke care system was not significantly associated with the volume of procedures by center or times-to-procedure, suggesting that additional centers may increase patient access to time-sensitive interventions without diluting patient presentations at existing centers.