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In order to eliminate such problems, an axiomatic basis was developed for the theory of sets analogous to that developed for elementary geometry.
A nomogram based on parameters that are measured on a routine basis was developed.
The background for implementing genomic information in the selection index on this basis was developed by Dekkers [ 17] and modified by Haberland et al. [ 18].
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A theoretical basis is developed for FRF-based updating techniques, as these use measured data directly.
This novel decomposition is combined with the positive negative decomposition of stress, and on its basis is developed a 3D elastoplastic damage model.
In addition, a Euler-Bernoulli beam element of three degrees of freedom based on Bézier extraction, which maps the Bernstein polynomial basis on Bézier elements to the NURBS basis, is developed.
Also, a basis is developed for expanding physical insights by showing the individual interactive force and moment components into which this enlarged linear model decomposes the four inherent generalized forces.
A local reconstruction technique using a geometric basis is developed and applied to evaluate the finite element constituents of the trimmed knot spans in terms of the underlying control variables.
On this basis, a model was developed that may be applied to other fluvial systems as well, whether old or recent.
On this basis, the prototype was developed as a cost-effective replacement for commercial NIR devices and was tested in clinical setting.
Changing the basis functions another numerical technique was developed called Radial Basis Functions (RBFs) method, which has the advantage of approximating derivatives using irregular point distributions and the basis functions depend on the mutual radial distance of the grid points.
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