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Recent work of Griffin, Ono, Rolen, and Zagier shows that the Jensen polynomials for the Riemann xi function converge to the Hermite polynomials under a suitable normalization. We generalize this result, proving that the normalized Jensen polynomials for a large class of genus zero or one entire functions converge either to the Hermite polynomials, or to a class of polynomials which can be written as a confluent hypergeometric function. [ABSTRACT FROM AUTHOR]

The classical AGM produces wonderful infinite sequences of arithmetic and geometric means with common limit. For finite fields F q , with q ≡ 3 (mod 4) , we introduce a finite field analogue AGM F q that spawns directed finite graphs instead of infinite sequences. The compilation of these graphs reminds one of a jellyfish swarm, as the 3D renderings of the connected components resemble jellyfish (i.e., tentacles connected to a bell head). These swarms turn out to be more than the stuff of child's play; they are taxonomical devices in number theory. Each jellyfish is an isogeny graph of elliptic curves with isomorphic groups of F q -points, which can be used to prove that each swarm has at least (1 / 2 − ε) q jellyfish. This interpretation also gives a description of the class numbers of Gauss, Hurwitz, and Kronecker which is akin to counting types of spots on jellyfish. [ABSTRACT FROM AUTHOR]

At Aristotle, Metaphysics E.1, 1026a14, Schwegler's conjectural emendation of the manuscript reading ἀχώριστα to χωριστά has been widely adopted. The objects of physical science are therefore here 'separate', or 'independently existent'. By contrast, the manuscripts make them 'not separate', construed by earlier commentators as dependent on matter. In this paper, I offer a new defense of the manuscript reading. I review past defenses based on the internal consistency of the chapter, explore where they have left supporters of the emendation unpersuaded, and attempt to strengthen their appeal. I challenge Schwegler's central case, developed by Ross and others, that the construction μὲν ἀλλ' οὐκ demands an implausible 'logical antithesis' between inseparability and mobility. This is arguably the fundamental obstacle to the manuscript reading, and counterexamples have not to date convinced emenders. I offer a new, systematic review of Aristotle's use of the phrase, including relevant cases from the Rhetoric, to show how its usual meaning in Aristotle supports the transmitted text; I also reply to possible objections. Finally, I explore the implications of this defense for the classification of the sciences in E.1. [ABSTRACT FROM AUTHOR]

Aquatic foods, particularly fish, are recognized as a unique source of essential fatty acids, micronutrients and protein many diets lack, especially in poor and vulnerable communities. Tilapia (Oreochromis sp.) fillets typically represent 30%–33% of the fish, leaving around 70% of the fish unused for human consumption. These nutrient‐rich by‐products can be converted into food and other products with medical, pharmaceutical and packaging applications. Heads and backbones of processed tilapias, and undersized tilapia can be used in the development or fortification of food products such as fish cakes, sausages and bread. Tilapia skin can be processed into leather for clothing and leather artefacts. Gelatin from fish skin can be developed into edible films and coating while collagen from fish scales and bones has good application in the cosmetic and pharmaceutical fields. The viscera can be converted into biodiesel or silage and hydrolysates, which are good sources of peptides and enzymes. To ensure 100% utilization, any remaining parts of the fish not used for food, can be transformed into products for animal consumption or for fertilizer. Thus, the conversion of by‐products from tilapia processing into value‐added products can contribute to improve human nutrition and better livelihood opportunities. However, adopting new technologies in value addition will require additional operational costs for acquiring new equipment and skills, a proven market demand for the products and an enabling policy environment. [ABSTRACT FROM AUTHOR]

Disc activities are an excellent elementary content area for both skill and fitness enhancement. They may occur through progressive skill and drill practice, small sided-game examples, modifications of traditional disc activities appropriate to large groups, and with adjustments designed to increase activity and fitness levels. For games in this article, both simple and modified rules are provided as well as a sample three-week block plan. Sample written and skill tests are also included. (Contains 1 figure and 1 table.)

In the wake of the era of Trump and Brexit, legacies and values of European Enlightenment seem under threat as never before. Cosmopolitanism in particular, generally understood as an Enlightenment virtue, has come to be associated with a sort of rootlessness, and has not, as generally understood, valued local affiliation. For David Goodhart, writing in 2017, this characteristic has resulted in a polarisation between "anywheres" (liberal middleclass cosmopolitans) and "somewheres" (broadly speaking, conservative working-class voters who have strong attachments to their nation and places of origin). An Irish Tory monarchist who sought in his poem The Deserted Village (1770) to defend rural communities from the ravages of economic modernity, Oliver Goldsmith (1728-74) was also in other key works a cosmopolitan commentator who compared countries in order to warn Britain against the dangers of economic liberalism, as he did in The Traveller, or a Prospect of Society (1764). Thus, he could be thought of as a more conservative cosmopolitan than many of his British and French peers; as such his particular enlightenment legacy is his example of a middle ground between the "anywheres" and "somewheres" of Goodhart's thesis. [ABSTRACT FROM AUTHOR]

Insomnia is a common symptom of posttraumatic stress disorder (PTSD) that is resistant to first-line cognitive behavioral interventions. However, research suggests that, among individuals with PTSD, self-reported sleep impairment is typically more severe than what is objectively observed, a phenomenon termed sleep state misperception. Relatively little research has examined which individuals with PTSD are most likely to exhibit sleep state misperception. This study explored clinical predictors of sleep state misperception in a sample of 43 women with PTSD and clinically significant sleep impairment. During a baseline assessment, participants' PTSD symptoms were assessed using a clinical interview and their sleep was assessed using the Pittsburgh Sleep Quality Index (PSQI). Objective sleep, self-reported sleep, and PTSD symptoms were then assessed over a 1-week period using actigraphy and daily diaries. Consistent with previous research, women in the study exhibited total sleep time (TST), sleep efficiency (SE), and sleep onset latency (SOL) sleep state misperception. For TST and SE, but not SOL, discrepancies between actigraphy and the PSQI were associated with each clinician-rated PTSD symptom cluster, whereas discrepancies between actigraphy and daily diary were only associated with clinician-rated reexperiencing symptoms. The only self-reported PTSD symptom that was uniquely associated with sleep state misperception was nightmares. This association was no longer significant after controlling for sleep-related anxiety. Results suggest that women with more severe reexperiencing symptoms of PTSD, particularly nightmares, may be more likely to exhibit TST and SE sleep state misperception, perhaps due to associated sleep-related anxiety. [ABSTRACT FROM AUTHOR]

Research examining physiological responses to trauma cues in PTSD has identified a subset of "nonresponders" showing suppressed physiological reactivity. The defense cascade model posits that individuals respond to stressors by progressing through a series of defensive reactions, with nonresponders having advanced to a shutdown response. It remains unclear whether dissociation is at the end of a continuum of passive behavior, indicating full shutdown, or if it comprises a distinct response. The present study aimed to address this uncertainty, using EFA to compare a two-factor (active, passive) and three-factor (active, passive, dissociative) model of defensive responding. Eighty-nine female physical and sexual assault survivors reported their peritraumatic reactions within 1 month of their assault, which were entered into the EFA. The three-factor model was superior, suggesting dissociation is a distinct category of peritraumatic coping. Peritraumatic use of both passive and dissociative coping strategies were each significantly associated with ongoing use of passive coping and increased PTSD symptoms 1-month posttrauma; surprisingly, the use of passive peritraumatic coping strategies was a better indicator than peritraumatic dissociation. The inclusion of depression as a covariate removed the association of passive (but not dissociative) coping with PTSD symptom severity. Active coping use was not significantly associated with any outcome, suggesting that the presence of shutdown responses is more informative than the presence or absence of any active coping. These findings highlight the importance of differentiating peritraumatic coping responses and the need for increased attention to the comparatively neglected topic of passive coping. [ABSTRACT FROM AUTHOR]