21,358 research outputs found

    The possibility for a practical view of ethics: Husserl and Heidegger on the philosophy of law

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    This contribution centres on the practical view of ethics and its connection with the philosophy of law as it is portrayed in the works of Edmund Husserl and Martin Heidegger. According to these two philosophers, ethics determines both the expectations for human behaviour, as well as their obligations to society. In carrying out this analysis, I consider the function of law and then its regulated function among individuals and the state. Thus, I show how the individual’s orientation in the context of society makes an ethical statement, determined by humans’ actions throughout their existence

    Newton-Euler, Lagrange and Kirchhoff formulations of rigid body dynamics: a unified approach

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    A unified formulation of rigid body dynamics based on Gauss principle is proposed. The Lagrange, Kirchhoff and Newton-Euler equations are seen to arise from different choices of the quasicoordinates in the velocity space. The group-theoretical aspects of the method are discussed.Comment: 5 page

    On the Enhancement of the Reconstruction Accuracy obtained with a Multi-Source/Multi-Illumination Inverse Scattering Technique

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    This paper explores the possibility of enhancing the available information content of scattered data by means of an innovative Multi-Source strategy. The approach exploits the scattering interactions between scatterer and probing source when the investigation domain is illuminated by different (in terms of radiation patterns) illuminations. The results of a set of representative numerical simulations are shown to point out the potentialities of the inversion strategy

    UV diagnostic of porosity-free mass-loss estimates in B stars

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    We seek to establish evidence in UV P Cygni line profiles that the signs of wind clumping and porosity vary with velocity. We aim to demonstrate empirically that while at most wind velocities optically thick clumps cover only a fraction of the stellar surface, close to the terminal velocity where narrow absorption components (NACs) appear in UV lines the covering factor is approximately unity. SEI line-synthesis models are used to determine the radial optical depths of blue and red components of the SiIV 1400 resonance line doublet in a sample of 12 B0 to B4 supergiants. We focus on stars with well developed NACs and relatively low terminal velocity so that the SiIV doublet components can be treated as radiatively decoupled and formed independently. For all 12 stars the mean optical depth ratio of the blue to red components is closer to ~ 2 (i.e. the ratio of oscillator strengths) in the NACs than at intermediate and lower velocities. The product of mass-loss rate and Si^3+ ion fraction calculated from the NAC optical depths is a factor of ~ 2 to 9 higher compared to mass-loss values sampled at ~ 0.4 to 0.6 of the terminal velocity. Since the wind effectively becomes `smooth' at the high NAC velocities and the column density is uniformly distributed over the stellar disk, the optical depths of the NACs are not seriously affected by porosity and this feature thus provides the most reliable measurement of mass-loss rate in the UV lines. Applications of this result to the weak-wind problem of late O-dwarf stars and the "PV mass loss discordance" in early O supergiants are discussed.Comment: Accepted for publication in Astronomy and Astrophysics; 7 pages; 3 figure

    Mengoli's mathematical ideas in Leibniz's excerpts

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    In the seventeenth century many changes occurred in the practice of mathematics. An essential change was the establishment of a symbolic language, so that the new language of symbols and techniques could be used to obtain new results. Pietro Mengoli (1626/7–86), a pupil of Cavalieri, considered the use of symbolic language and algebraic procedures essential for solving all kinds of problems. Following the algebraic research of Viète, Mengoli constructed a geometry of species, Geometriae Speciosae Elementa (1659), which allowed him to use algebra in geometry in complementary ways to solve quadrature problems, and later to compute the quadrature of the circle in his Circolo (1672). In a letter to Oldenburg as early as 1673, Gottfried Wilhelm Leibniz (1646–1716) expressed an interest in Mengoli's works, and again later in 1676, when he wrote some excerpts from Mengoli's Circolo. The aim of this paper is to show how in these excerpts Leibniz dealt with Mengoli's ideas as well as to provide new insights into Leibniz's mathematical interpretations and commentsPeer ReviewedPostprint (author's final draft
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