@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} }