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The article is devoted to the mathematical theories and algorithms necessary for the implementation of a software package that fully automates the calculations necessary in Nautical Astronomy. The article describes a method for calculating the equatorial and horizontal coordinates of the celestial bodies at any moment of time. The authors describe the calculation of the time of the apparent rising (setting) of the Sun, solar illumination and events of other celestial bodies. A formula for calculating astronomical refraction is proposed. A matrix method for implementing the method of least squares for determining the coordinates of a place along the lines of position is described. An algorithm for identifying navigational planets is also described and a method for estimating the error for it is proposed. Based on this, the results of the development of the software package ‘Astronomy Package’ for Nautical Astronomy are presented.
We consider the number of edge crossings in a random graph drawing generated by projecting a random geometric graph on some compact convex set $W\subset \mathbb{R}^d$, $d\geq 3$, onto a plane. The positions of these crossings form the support of a point process. We show that if the expected number of crossings converges to a positive but finite value, this point process converges to a Poisson point process in the Kantorovich–Rubinstein distance. We further show a multivariate central limit theorem between the number of crossings and a second variable called the stress that holds when the expected vertex degree in the random geometric graph converges to a positive finite value.
This review examines the critical role of meteorological data in optimising flight trajectories and enhancing operational efficiency in aviation. Weather conditions directly influence fuel consumption, delays and safety, making their integration into flight planning increasingly vital. Understanding these dynamics becomes essential for risk mitigation as climate change drives more frequent and severe weather events. Synthesising insights from 57 studies published between 2001 and 2024, this article highlights key variables – such as wind, temperature and convective weather – significantly impacting flight operations. A framework is proposed to improve air traffic management’s safety, efficiency and cost-effectiveness. The findings emphasise the need for systematically incorporating meteorological inputs into trajectory optimisation models, such as wind shear, convective storms and temperature gradients. This integration improves operational predictability and safety while advancing sustainability goals by reducing fuel consumption and CO2 emissions – an increasingly important priority amid rising climate variability and global air traffic demand.
We examined whether obsessive passion and harmonious passion interacted in the prediction of work–family conflict, and the indirect effects of obsessive passion on counterproductive work behaviors as mediated by work–family conflict. We collected data from two samples of employees with jobs in engineering (Sample 1) and administration (Sample 2). Obsessive passion was associated with higher levels of work–family conflict, whereas harmonious passion was negatively related to work–family conflict. Furthermore, the positive effects of obsessive passion on work–family conflict were lower at high levels of harmonious passion. Work–family conflict was also positively related to counterproductive work behaviors (Sample 2). Finally, the indirect effects of obsessive passion on counterproductive work behaviors (Sample 2) were lower at high levels of harmonious passion.
L’objectif de cet article est de proposer une analyse systématique de l’andragathia chez Xénophon, un concept souvent négligé par les commentateurs et qui n’a pas encore été étudié d’un point de vue philosophique. L’analyse démontre que Xénophon s’approprie une notion déjà répandue chez ses contemporains, tout en l’adaptant à sa propre philosophie. Selon le contexte, il exploite les différentes dimensions morales, politiques et militaires du terme. Toutefois, dans toutes ses occurrences, l’andragathia se présente comme un idéal d’excellence humaine, atteint par la pratique assidue de la vertu.
OTTOsonics is an open hardware platform developed by a team of engineers and composers, designed to prioritise affordability and flexibility, addressing the needs of a broader community interested in spatial audio. At its core, the platform features a custom-designed, high-quality 4-inch speaker with a 3D-printed cabinet, and an affordable multichannel power amplifier. It also offers a comprehensive set of mounting accessories and a knowledge base for producing and presenting spatial audio using open-source software. Over the past three years, OTTOsonics has been adopted by multiple cultural initiatives, universities, and audio enthusiasts, enabling the production of new spatial audio works across genres such as electroacoustic, experimental, and pop music. This article outlines the key decisions made throughout the project and presents the technical and artistic outcomes after three years of operation. We discuss the key features of an open platform for spatial audio and how our designs address these needs, as well as future directions for further projects and initiatives.
Jury selection in the US involves voir dire, an examination process wherein prospective jurors are questioned about their potential for fairness or bias. Such inquiries are hampered by social desirability pressures inhibiting admissions of bias. Analogous pressures hamper survey interviews, but since voir dire examinations are unscripted their study can reveal how desirability pressures are addressed through naturally occurring variations in question design. This article combines sequential and distributional analyses of >100 transcribed question-answer sequences targeting juror fairness/bias, and documents various tendencies and preferences in question design. Court officials focus on bias rather than fairness by default, and the predominant bias-targeting questions are mitigated through: (i) indirect references to bias, (ii) diffusion of responsibility for bias, and (iii) projecting bias as minimal or unlikely. The findings shed light on the social dynamics of jury selection and, more broadly, how question design practices are adapted for inquiry into sensitive subjects. (Questions, law, voir dire, juries, social desirability bias, conversation analysis)
In this paper, we first describe the cohomology theory of Lie supertriple systems by using the cohomology theory of the associated Leibniz superalgebras. Then we focus on Lie supertriple systems with superderivations, called LSTSDer pairs. We introduce the notion of representations of LSTSDer pairs and investigate their corresponding cohomology theory. We also construct a differential graded Lie algebra whose Maurer–Cartan elements are LSTSDer pairs. Moreover, we consider the relationship between a LSTSDer pair and the associated LeibSDer pair. Furthermore, we develop the 1-parameter formal deformation theory of LSTSDer pairs and prove that it is governed by the cohomology groups. At last, we study abelian extensions of LSTSDer pairs and show that equivalent abelian extensions of LSTSDer pairs are classified by the third cohomology groups.