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In a special paired sample case, Hotelling’s T² test based on the differences of the paired random vectors is the likelihood ratio test for testing the hypothesis that the paired random vectors have the same mean; with respect to a special group of affine linear transformations it is the uniformly most powerful invariant test for the general alternative of a difference in mean. We present an elementary straightforward proof of this result. The likelihood ratio test for testing the hypothesis that the covariance structure is of the assumed special form is derived and discussed. Applications to real data are given.
The Pharmacokinetics and Metabolism of Lumiracoxib in Chimeric Humanized and Murinized FRG Mice
(2017)
A laser-enhanced solar sail is a solar sail that is not solely propelled by solar radiation but additionally by a laser beam that illuminates the sail. This way, the propulsive acceleration of the sail results from the combined action of the solar and the laser radiation pressure onto the sail. The potential source of the laser beam is a laser satellite that coverts solar power (in the inner solar system) or nuclear power (in the outer solar system) into laser power. Such a laser satellite (or many of them) can orbit anywhere in the solar system and its optimal orbit (or their optimal orbits) for a given mission is a subject for future research. This contribution provides the model for an ideal laser-enhanced solar sail and investigates how a laser can enhance the thrusting capability of such a sail. The term ”ideal” means that the solar sail is assumed to be perfectly reflecting and that the laser beam is assumed to have a constant areal power density over the whole sail area. Since a laser beam has a limited divergence, it can provide radiation pressure at much larger solar distances and increase the radiation pressure force into the desired direction. Therefore, laser-enhanced solar sails may make missions feasible, that would otherwise have prohibitively long flight times, e.g. rendezvous missions in the outer solar system. This contribution will also analyze exemplary mission scenarios and present optimial trajectories without laying too much emphasis on the design and operations of the laser satellites. If the mission studies conclude that laser-enhanced solar sails would have advantages with respect to ”traditional” solar sails, a detailed study of the laser satellites and the whole system architecture would be the second next step
Hotelling’s T² tests in paired and independent survey samples are compared using the traditional asymptotic efficiency concepts of Hodges–Lehmann, Bahadur and Pitman, as well as through criteria based on the volumes of corresponding confidence regions. Conditions characterizing the superiority of a procedure are given in terms of population canonical correlation type coefficients. Statistical tests for checking these conditions are developed. Test statistics based on the eigenvalues of a symmetrized sample cross-covariance matrix are suggested, as well as test statistics based on sample canonical correlation type coefficients.
Optimisation of a urea selective catalytic reduction system with a coated ceramic mixing element
(2017)
Architects and civil engineers work together regularly during their professional days and are irreplaceable for each other. This co-operation is sometimes made more difficult by the differences in their disciplinary languages and approaches. Structures are evaluated by architects on the basis of criteria such as spatial impact and usability, while civil engineers analyze them more closely by their bearing and deformation properties, as well as by constructive aspects. This diversity of assessment criteria and approaches is often continued in both academic disciplines in the view on structures.
Within the framework of the Exploratory Teaching Space (ETS), a funding program to improve teaching at RWTH Aachen University and to promote new teaching concepts, a project was carried out jointly by the Junior Professorship of Tool-Culture at the Faculty of Architecture and the Institute of Structural Concrete at the Faculty of Civil Engineering. The aim of the project is to present buildings in such a way that the differences in perception between architects and civil engineers are reduced and the common understanding is promoted.
The project develops a database, which contains a collection of striking buildings from Aachen and the surrounding area. The buildings are categorized according to terms that come from both disciplinary areas. The collection can be freely explored or crossed through learning trails. The medium of film plays a special role in presenting the buildings. The buildings are assigned to different categories of load bearing structures as linear, planar and spatial structures, and further to different types of material, functional programs and spatial characteristics. Since the buildings are located in the direct vicinity of Aachen, they can be visited by the students. This makes them more sensitive to their environment. Intrinsic motivation, as well as implicit learning is encouraged. The paper will provide a detailed report of the project, its implementation, the feedback of the students and the plans for further development.