@article{AhmedReisgenSchleseretal.2010,
  author    = {Ahmed, Essam and Reisgen, Uwe and Schleser, Markus and Mokrov, Oleg},
  title     = {On formability of tailor laser welded blanks of DP/TRIP steel sheets},
  series = {Science and technology of welding and joining},
  volume    = {15},
  journal   = {Science and technology of welding and joining},
  number    = {5},
  publisher = {Maney},
  address   = {Leeds},
  issn      = {1743-2936},
  doi       = {10.1179/136217110X12731414739754},
  pages     = {337 -- 342},
  year      = {2010},
  abstract  = {This paper aims to evaluate the formability of tailor welded blanks of dual phase (DP600)/transformation induced plasticity (TRIP700) steel sheets. In this work, bead on plate butt joints of 2·5 mm DP600 and 1·2 mm TRIP700 steel sheets were performed using CO2 laser beam welding. Microhardness measurements and transverse tensile testing were carried out to characterise the welds. The formability of base metals and welds were investigated by standard Erichsen test. In a perpendicular tensile test to the weld line, all specimens were fractured at the TRIP base metal, and the strengths were somewhat higher than those of base metal. There was a significant reduction in formability caused by welding of the DP600/TRIP700 steel sheets, and the formability increased with increasing welding speed.},
  language  = {en}
}
@article{StulpeBugajskiHellwig1998,
  author    = {Stulpe, Werner and Bugajski, S. and Hellwig, K.-E.},
  title     = {On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W.},
  series = {Reports on Mathematical Physics. 41 (1998), H. 1},
  journal   = {Reports on Mathematical Physics. 41 (1998), H. 1},
  isbn      = {0034-4877},
  pages     = {1 -- 11},
  year      = {1998},
  language  = {en}
}
@article{BaringhausGaigall2017,
  author    = {Baringhaus, Ludwig and Gaigall, Daniel},
  title     = {On Hotelling's T² test in a special paired sample case},
  series = {Communications in Statistics - Theory and Methods},
  volume    = {48},
  journal   = {Communications in Statistics - Theory and Methods},
  number    = {2},
  publisher = {Taylor \& Francis},
  address   = {London},
  issn      = {1532-415X},
  doi       = {10.1080/03610926.2017.1408828},
  pages     = {257 -- 267},
  year      = {2017},
  abstract  = {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.},
  language  = {en}
}
@article{SchubaReichl1998,
  author    = {Schuba, Marko and Reichl, Peter},
  title     = {On large-scale reliable multicast protocols / Schuba, M. ; Reichl, P.},
  series = {6th IEE Conference on Telecommunications},
  journal   = {6th IEE Conference on Telecommunications},
  isbn      = {0-85296-700-4},
  pages     = {133 -- 137},
  year      = {1998},
  language  = {en}
}
@article{AltherrJoggerstLeiseetal.2018,
  author    = {Altherr, Lena and Joggerst, Laura and Leise, Philipp and Pfetsch, Marc E. and Schmitt, Andreas and Wendt, Janine},
  title     = {On obligations in the development process of resilient systems with algorithmic design methods},
  series = {Applied Mechanics and Materials},
  volume    = {885},
  journal   = {Applied Mechanics and Materials},
  number    = {885},
  publisher = {Trans Tech Publications},
  address   = {B{\"a}ch},
  isbn      = {1662-7482},
  doi       = {10.4028/www.scientific.net/AMM.885.240},
  pages     = {240 -- 252},
  year      = {2018},
  abstract  = {Advanced computational methods are needed both for the design of large systems and to compute high accuracy solutions. Such methods are efficient in computation, but the validation of results is very complex, and highly skilled auditors are needed to verify them. We investigate legal questions concerning obligations in the development phase, especially for technical systems developed using advanced methods. In particular, we consider methods of resilient and robust optimization. With these techniques, high performance solutions can be found, despite a high variety of input parameters. However, given the novelty of these methods, it is uncertain whether legal obligations are being met. The aim of this paper is to discuss if and how the choice of a specific computational method affects the developer's product liability. The review of legal obligations in this paper is based on German law and focuses on the requirements that must be met during the design and development process.},
  language  = {en}
}
@article{ReisselHerbstGottschalketal.2008,
  author    = {Reißel, Martin and Herbst, Michael and Gottschalk, Swen and Hardelauf, Horst},
  title     = {On preconditioning for a parallel solution of the Richards equation / Herbst, Michael ; Gottschalk, Swen ; Reißel, Martin ; Hardelauf, Horst ; Kasteel, Roy ; Javaux, Matthieu ; Vanderborght, Jan ; Vereecken, Harry},
  series = {Computers \& Geosciences. 34 (2008), H. 12},
  journal   = {Computers \& Geosciences. 34 (2008), H. 12},
  isbn      = {0098-3004},
  pages     = {1958 -- 1963},
  year      = {2008},
  language  = {en}
}
@article{Dikta1998,
  author    = {Dikta, Gerhard},
  title     = {On Semiparametric Random Censorship Models},
  series = {Journal of Statistical Planning and Inference. 66 (1998), H. 2},
  journal   = {Journal of Statistical Planning and Inference. 66 (1998), H. 2},
  isbn      = {0378-3758},
  pages     = {253 -- 279},
  year      = {1998},
  language  = {en}
}
@article{GrotendorstJansenSchoberth1993,
  author    = {Grotendorst, Johannes and Jansen, Paul and Schoberth, Siegfried},
  title     = {On Solving the McConnell Equations in Biochemistry / Grotendorst, Johannes ; Jansen, Paul ; Schoberth, Siegfried},
  series = {MapleTech. 1 (1993)},
  journal   = {MapleTech. 1 (1993)},
  isbn      = {1061-5733},
  pages     = {56 -- 62},
  year      = {1993},
  language  = {en}
}
@article{Gaigall2023,
  author    = {Gaigall, Daniel},
  title     = {On the applicability of several tests to models with not identically distributed random effects},
  series = {Statistics : A Journal of Theoretical and Applied Statistics},
  volume    = {57},
  journal   = {Statistics : A Journal of Theoretical and Applied Statistics},
  publisher = {Taylor \& Francis},
  address   = {London},
  isbn      = {0323-3944},
  issn      = {1029-4910},
  doi       = {10.1080/02331888.2023.2193748},
  pages     = {14 Seiten},
  year      = {2023},
  abstract  = {We consider Kolmogorov-Smirnov and Cram{\´e}r-von-Mises type tests for testing central symmetry, exchangeability, and independence. In the standard case, the tests are intended for the application to independent and identically distributed data with unknown distribution. The tests are available for multivariate data and bootstrap procedures are suitable to obtain critical values. We discuss the applicability of the tests to random effects models, where the random effects are independent but not necessarily identically distributed and with possibly unknown distributions. Theoretical results show the adequacy of the tests in this situation. The quality of the tests in models with random effects is investigated by simulations. Empirical results obtained confirm the theoretical findings. A real data example illustrates the application.},
  language  = {en}
}
@article{Zastrow1985,
  author    = {Zastrow, Udo},
  title     = {On the complete system of fundamental solutions for anisotropic slices and slabs: A comparison by use of the slab analogy},
  series = {Journal of Elasticity. 15 (1985), H. 3},
  journal   = {Journal of Elasticity. 15 (1985), H. 3},
  isbn      = {1573-2681},
  pages     = {293 -- 318},
  year      = {1985},
  language  = {en}
}
@article{DankelmannHellwigVolkmann2007,
  author    = {Dankelmann, Peter and Hellwig, Angelika and Volkmann, Lutz},
  title     = {On the connectivity of diamond-free graphs},
  series = {Discrete applied mathematics},
  volume    = {Vol. 155},
  journal   = {Discrete applied mathematics},
  number    = {Iss. 16},
  issn      = {0166-218X (E-Journal); 1872-6771 (E-Journal); 0166-218X (Print)},
  pages     = {2111 -- 2117},
  year      = {2007},
  language  = {en}
}
@article{HeuermannSadeghfam2007,
  author    = {Heuermann, Holger and Sadeghfam, Arash},
  title     = {On the design of multimode integrated circuits in multilayered processes / Sadeghfam, A. ; Heuermann, H.},
  series = {European Microwave Conference, 2007, 9-12 Oct. 2007},
  journal   = {European Microwave Conference, 2007, 9-12 Oct. 2007},
  isbn      = {978-2-87487-001-9},
  pages     = {516 -- 519},
  year      = {2007},
  language  = {en}
}
@article{Weigand1993,
  author    = {Weigand, Christoph},
  title     = {On the Effects of SPC on Production Time},
  series = {Economic Quality Control. 8 (1993)},
  journal   = {Economic Quality Control. 8 (1993)},
  isbn      = {0940-5151},
  pages     = {23 -- 61},
  year      = {1993},
  language  = {en}
}
@article{ZhangValeroBungetal.2018,
  author    = {Zhang, G. and Valero, Daniel and Bung, Daniel Bernhard and Chanson, H.},
  title     = {On the estimation of free-surface turbulence using ultrasonic sensors},
  series = {Flow Measurement and Instrumentation},
  volume    = {60},
  journal   = {Flow Measurement and Instrumentation},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0955-5986},
  doi       = {10.1016/j.flowmeasinst.2018.02.009},
  pages     = {171 -- 184},
  year      = {2018},
  abstract  = {Accurate determination of free-surface dynamics has attracted much research attention during the past decade and has important applications in many environmental and water related areas. In this study, the free-surface dynamics in several turbulent flows commonly found in nature were investigated using a synchronised setup consisting of an ultrasonic sensor and a high-speed video camera. Basic sensor capabilities were examined in dry conditions to allow for a better characterisation of the present sensor model. The ultrasonic sensor was found to adequately reproduce free-surface dynamics up to the second order, especially in two-dimensional scenarios with the most energetic modes in the low frequency range. The sensor frequency response was satisfactory in the sub-20 Hz band, and its signal quality may be further improved by low-pass filtering prior to digitisation. The application of the USS to characterise entrapped air in high-velocity flows is also discussed.},
  language  = {en}
}
@article{SommerGerlingPredel1984,
  author    = {Sommer, Ferdinand and Gerling, Ulrich and Predel, Bruno},
  title     = {On the evaluation of interchange energies and the equilibrium-constant from mixing enthalpies of a regular associated solution-comment},
  series = {Zeitschrift f{\"u}r Metallkunde : international journal of materials research and advanced techniques. Bd. 75, H. 11},
  journal   = {Zeitschrift f{\"u}r Metallkunde : international journal of materials research and advanced techniques. Bd. 75, H. 11},
  issn      = {0044-3093 ; 0179-4841},
  pages     = {898},
  year      = {1984},
  language  = {en}
}
@article{ZastrowHackl1988,
  author    = {Zastrow, Udo and Hackl, Klaus},
  title     = {On the existence, uniqueness and completeness of displacements and stress functions in linear elasticity / Hackl, Klaus ; Zastrow, Udo},
  series = {Journal of Elasticity. 19 (1988), H. 1},
  journal   = {Journal of Elasticity. 19 (1988), H. 1},
  isbn      = {1573-2681},
  pages     = {3 -- 23},
  year      = {1988},
  language  = {en}
}
@article{GoettenFingerHavermannetal.2018,
  author    = {G{\"o}tten, Falk and Finger, Felix and Havermann, Marc and Braun, Carsten and Gomez, Francisco and Bill, C.},
  title     = {On the flight performance impact of landing gear drag reduction methods for unmanned air vehicles},
  series = {Deutscher Luft- und Raumfahrtkongress 2018},
  journal   = {Deutscher Luft- und Raumfahrtkongress 2018},
  publisher = {DGLR},
  address   = {Bonn},
  doi       = {10.25967/480058},
  pages     = {11 S.},
  year      = {2018},
  abstract  = {The flight performance impact of three different landing gear configurations on a small, fixed-wing UAV is analyzed with a combination of RANS CFD calculations and an incremental flight performance algorithm. A standard fixed landing gear configuration is taken as a baseline, while the influence of retracting the landing gear or applying streamlined fairings is investigated. A retraction leads to a significant parasite drag reduction, while also fairings promise large savings. The increase in lift-to-drag ratio is reduced at high lift coefficients due to the influence of induced drag. All configurations are tested on three different design missions with an incremental flight performance algorithm. A trade-off study is performed using the retracted or faired landing gear's weight increase as a variable. The analysis reveals only small mission performance gains as the aerodynamic improvements are negated by weight penalties. A new workflow for decision-making is presented that allows to estimate if a change in landing gear configuration is beneficial for a small UAV.},
  language  = {en}
}
@article{Zastrow1985,
  author    = {Zastrow, Udo},
  title     = {On the formulation of the fundamental solutions for orthotropic plane elasticity},
  series = {Acta Mechanica. 57 (1985), H. 3-4},
  journal   = {Acta Mechanica. 57 (1985), H. 3-4},
  isbn      = {1619-6937},
  pages     = {113 -- 122},
  year      = {1985},
  language  = {en}
}
@article{FoersterMorvicBetko1998,
  author    = {F{\"o}rster, Arnold and Morvic, M. and Betko, J.},
  title     = {On the hopping and band conductivity in molecular-beam epitaxial low-temperature grown GaAs / M. Morvic ; J. Betko ; J. Nov{\´a}k ... A. F{\"o}rster},
  series = {Physica status solidi / B, Basic research. 205 (1998), H. 1},
  journal   = {Physica status solidi / B, Basic research. 205 (1998), H. 1},
  isbn      = {1521-3951},
  pages     = {125 -- 128},
  year      = {1998},
  language  = {en}
}
@article{MoehrenBergmannJanseretal.2023,
  author    = {M{\"o}hren, Felix and Bergmann, Ole and Janser, Frank and Braun, Carsten},
  title     = {On the influence of elasticity on propeller performance: a parametric study},
  series = {CEAS Aeronautical Journal},
  volume    = {14},
  journal   = {CEAS Aeronautical Journal},
  publisher = {Springer Nature},
  address   = {Berlin},
  issn      = {1869-5590 (Online)},
  doi       = {10.1007/s13272-023-00649-y},
  pages     = {311 -- 323},
  year      = {2023},
  abstract  = {The aerodynamic performance of propellers strongly depends on their geometry and, consequently, on aeroelastic deformations. Knowledge of the extent of the impact is crucial for overall aircraft performance. An integrated simulation environment for steady aeroelastic propeller simulations is presented. The simulation environment is applied to determine the impact of elastic deformations on the aerodynamic propeller performance. The aerodynamic module includes a blade element momentum approach to calculate aerodynamic loads. The structural module is based on finite beam elements, according to Timoshenko theory, including moderate deflections. Several fixed-pitch propellers with thin-walled cross sections made of both isotropic and non-isotropic materials are investigated. The essential parameters are varied: diameter, disc loading, sweep, material, rotational, and flight velocity. The relative change of thrust between rigid and elastic blades quantifies the impact of propeller elasticity. Swept propellers of large diameters or low disc loadings can decrease the thrust significantly. High flight velocities and low material stiffness amplify this tendency. Performance calculations without consideration of propeller elasticity can lead to decreased efficiency. To avoid cost- and time-intense redesigns, propeller elasticity should be considered for swept planforms and low disc loadings.},
  language  = {en}
}