„… described by the cross product of the tangent vectors as N dA = dX × dY , (2.9) where N is the unit normal …” „… normal vector of the boundary. Now, replacing the stress vector t with the relation between the Cauchy …” „… stress tensor σ and the normal vector n by applying Cauchy’s theorem, and using the divergence theorem …”

„… problem of ill-conditioning, several approaches have been proposed to improve the robustness of these …” „… domain technique with high order shape functions – a simple approach has been suggested that is based on …” „… a modification of the weak form. In this approach, the authors assigned a fictitious material model …”

„… are discussed in the following. A rather simple commonly applied numerical integration approach is …” „… ] introduced an innovative integration approach based on equivalent polynomials. In this integration method …” „… a more efficient manner is based on the moment fitting approach [114–120] 37 4 Moment fitting …”

„… potential. Current state-of-the-art approaches perform effectively only under limited scenarios …” „… various researchers, where approaches based on tyre vibrations offer the high-est potential. On the other …” „… interface has been the focus of research, while power transmission approaches have not been investigated in …”

„… on hyper-parameter tuning as opposed to competing approaches based on Metropolis-Hastings or …” „… belief propagation SVM support vector machine TRBP tree-reweighted belief propagation VDPM …” „… object tracking IX Symbols and Notation Symbols for Probability Theory N (x;μ, σ) normal distribution …”

„… (2.3)). ? is the output matrix which links the output nodes ? ? to the state input vector ? ? . The …” „… method (eigen vector calculation for system matrices), where the sequence is ?,??,? ?,. .? ? , a …” „… system, a random starting vector is used unlike an impulse vector in the transfer function case. To get …”

„… ,m if , and the normal vector is , , , ,( , , )m i mx i my i mz in n n n . The total contact force …” „… line-of-action vectors and mesh positions related to the static normal mesh forces. The variations in these gear …” „… concerns that have to be considered in the driveline integration process using the CAE simulation approach …”

„… den Zahnradoberflächen. Die detaillierten Normal- und Schubspannungen helfen, die Verteilung der …” „… , which the analytical approaches cannot provide. The gear teeth surface areas are finely meshed to get …” „… the gear surfaces. The detailed normal and shear stresses help to understand the churning loss …”

„… bounds. The Bootstrapping approach consistently adheres to prescribed probabilities, even for modest …” „… sample sizes. In contrast, the MCMC approach struggles to maintain satisfactory prediction quality …” „… approach only accounts for a portion of the Uncertainty within the Measuring System (MS). A more …”