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Oosterbaan (1982) showed a large-scale, generalized representation of water flow in an alluvial fan.
In the case where AX= XΛ is solvable in SARnJ, we derive the generalized representation of the solutions.
The procedure is based on integrating the LARES algorithm with a generalized representation of the control function.
First, we derive an integral representation for the operator e λ n s n, which can be considered as a generalized representation of the relations (1.3) and (1.4).
In the present paper we utilize a generalized representation of the flame surface that allows for multivalued and disjointed interfaces, thus extending the results to higher turbulence intensities.
The generalized representation of the control function consists of variable-length segments, which permits the use of a combination of different types of finite elements (linear, quadratic, etc).
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As a consequence, generalized representations of fatigue have to be invoked.
Then, by integration of the generalized Paris' law, the relationship between the aforementioned generalized representations of fatigue is established, providing the link between the cumulative fatigue damage and the fatigue crack propagation approaches.
It uses a generalized representation for classification rules that consists of alternating layers of prediction nodes (represented by ellipses in Fig. 3b) and splitter nodes (represented by rectangles in Fig. 3b).
The generalized representation reveals the overall structure of the network while hiding the details.
The proof is similar to that of the first part of Theorem 3.5 on applying the generalized representation lemma.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com