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    Made-to-measure dynamical particle models of elliptical galaxies

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    NMAGIC modelling: Syer and Tremaine (1996) proposed a made-to-measure (M2M) algorithmto construct N-particle systems from observational data and used it to generate a triaxial model from density observables. The first practical application was made by Bissantz et al. (2004), who constructed a dynamical model of the projected face-on density distribution of the Milky Way. So far, only density constraints have been considered and all models have been evolved in predetermined potentials. In chapter 2, a χ2-made-to-measure (χ2M2M) algorithm was developed, extending earlier ideas by Syer and Tremaine. An important component of the new method is the use of the standard χ2 merit function at the heart of the algorithm, which allows to assess the quality of a model fit directly. In addition, kinematic observables including higher order moments have been incorporated. Hence, kinematic and density (or surface density) constraints can be used to tailor particle models. The new χ2M2M method was implemented in a fast, parallel code, NMAGIC. This code also incorporates an optional but fast potential solver, allowing it to recompute the potential during a model fit and, in addition, to test the stability of the final particle model. The NMAGIC implementation of the χ2M2M algorithm is highly efficient, with a sequential fraction of only ∼ 1%. The geometric flexibility and performance of NMAGIC was illustrated with a number of tests using spherical, oblate and triaxial target models. In the spherical experiments, the correct isotropic target model was recovered, independently of the adopted initial conditions. The initial model with density closer to the density of the final model had smaller final deviations from the target observables, and a narrower distribution of weights. The oblate tests showed that a large phase-space gradient can be recovered if present, and illustrated the advantage of integral field data over slit data for constraining the model. The triaxial experiments demonstrated that it is possible to start from a spherical model and converge to a triaxial target, and illustrated NMAGIC’s ability in constructing models for triaxial elliptical galaxies with which nature confronts us. A second triaxial experiment, in which a slowly rotating model was used as a target for a non-rotating model, revealed that the residuals in the first order kinematic moment are correlated. This gives a signature of tumbling which, at least for this triaxial system, allows to distinguish between internal stellar streaming and pattern rotation within Re, provided a full velocity field is available. However, a more complete study of this problem is needed to firm up this result. This experiment also demonstrates the usefulness of the χ2M2M algorithm for modelling mock (rather than real) galaxies in order to learn about their dynamics. Such an experiment would not have been practical with standard N-body simulations. In chapter 3, I extended NMAGIC to account for seeing effects and proposed and implemented an efficient method to estimate the mass-to-light ratio �. Tests of this scheme using isotropic rotator input models have shown that the method recovers � within a few percent both for self-consistent and dark matter dominated target galaxies. In addition, a likelihood scheme was implemented, by which discrete velocity measurements can be taken into account without binning them beforehand. The modelling of NGC 4697 and NGC 3379, presented in chapters 3 and 4, respectively, showed that the χ2M2M/NMAGIC particle method is a very promising modelling technique. In fact, it has already gone further than the Schwarzschild method in that the gravitational potential of the stars has been allowed to vary in the modelling, the mass-to-light ratio has been adapted on the fly and the stability of the models has been checked. Compared to the Schwarzschild method, the main advantages of the χ2M2M algorithm as implemented in NMAGIC are that no symmetry restrictions have to be made and that no complicated procedure for orbit sampling is needed. Another advantage is that the gravitational potential can be evolved self-consistently, which further allows to test the stability of a model after the correction phase. Every χ2M2M model corresponds to a computation of an orbit library in the Schwarzschild method. In problems where the same orbit library can be reused, Schwarzschild’s method is more efficient. The present implementation of NMAGIC is optimized for modeling nearly spherical systems. This is mainly due to the potential solver and the density observables (Alm), both based on a spherical harmonics decomposition of the density distribution. In the next two sections below, I will discuss the astronomical results from the dynamical modelling of NGC 4697 and NGC 3379. Astronomical results: NGC 4697: Chapter 3 presented a dynamical study of the E4 galaxy NGC 4697 using surface brightness measurements and a combined kinematic data set, which runs from the center of the galaxy to about 4.5 effective radii. The kinematic data set consists of long slit spectroscopic data and discrete PNe velocity measurements. Even though NMAGIC does not require any symmetry assumptions for the modelling, I have forced the method to generate axisymmetric particle models for NGC 4697. Both self-consistent models without dark matter, and models following a sequence of circular speed curves with increasing dark halo contributions have been investigated. The PN data have been used both binned on two different spatial grids, as well as with the new likelihood scheme, to make sure that the results are not biased by the way the PNe data are incorporated. The main result is that models both with and without dark matter are consistent with all the data. These models fit all kinematic data with χ2/N < 1, both in potentials with only luminous matter and in potentials including sufficiently massive halos to generate nearly flat circular rotation curves. The massive dark halo models tend to fit the data slightly better in the sense of lower χ2/N, for both the slit kinematics and the PN data, but these variations are small and not yet statistically significant. To exclude models without dark matter would require PN velocities at even larger radii than currently available, out to an estimated ≃ 6Re from the center. These models differ from earlier studies performed byM´endez et al. (2001) in the sense that we generate axisymmetric models instead of spherical ones and that our models are flexible with regard to anisotropy. The best-fitting models are slightly radially anisotropic, with β ≃ 0.3 at the center, increasing to β ≃ 0.5 at∼ > 2Re. This is consistent with the value given by Dekel et al. (2005) obtained from merger simulations carried out within the �CDM cosmology framework. NGC 3379: In chapter 4, the dynamical modelling of the intermediate luminosity E1 galaxy NGC 3379 was presented. The models were constructed using photometric and kinematic observations for this galaxy. Again, a combined kinematic data set was used, consisting of long slit spectroscopic data with SAURON integral field absorption line kinematics and PN velocity measurements with the PN.S instrument from Douglas et al. (2007). The combined data set runs from the center of NGC 3379 to about 7 effective radii. This is the first time that integral field SAURON kinematic data of a real galaxy has been incorporated in NMAGIC. Both self-consistent models without dark matter, and models following a sequence of circular speed curves with increasing dark halo contributions have been investigated. Several dynamical models, with and without DM, produce a viable fit to all the data. For assumed spherical symmetry the data is consistent with near-isotropic models dominated by stellar mass and with radially anisotropic models in moderately massive halos with DMfractions ≃ 60 percentage at 7 Re. In addition, a series of of oblate models have been constructed which essentially confirm the spherical results. The main conclusion is that the steeply declining PNe velocity dispersion profile is consistent with a variety of DM halos. It is difficult to constrain the potential in this galaxy with the present data. This is mainly due to the well known mass anisotropy degeneracy, which masks the DM distribution by preferentially populating radial orbits. Hence the possibility remains that NGC 3379 has the kind of dark matter halo that is consistent with the current �CDM paradigm

    UMNH:Mamm:3379

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    UMNH:Mamm:3379 Voucher specimen study ski

    Block Card 3379 Lagrange Street

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    This image was produced by the Auditor's Office in Lucas County, Ohio for tax assessment purposes. Associated dates are approximate. Descriptive terms related to this photograph include: dwelling | 3379 Lagrange Street (Toledo, Ohio) | Curved Bay Folk House | North Toledo (Toledo, Ohio) | Lagrange Area (Toledo, Ohio) | Doppkes St. Adalbert Additio

    [Veto of H. 3379, R. 185]

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    This veto message from Governor Mark Sanford vetoes H. 3379, R. 185 a bill that would relax the qualification standards for the LIFE and Palmetto Fellow Scholarships for South Carolina students who attend an out-of-state high school

    Block Card 3379 Detroit Avenue

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    This image was produced by the Auditor's Office in Lucas County, Ohio for tax assessment purposes. Associated dates are approximate. Descriptive terms related to this photograph include: multi-family | Wrightian | Dwelling | 3379 Detroit Avenue (Toledo, Ohio) | Old West End (Toledo, Ohio) | Glenhurst Addition (Toledo, Ohio

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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