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Both approach produced identical stability maps, leading to a generalized representation.
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.
The proof is similar to that of the first part of Theorem 3.5 on applying the generalized representation lemma.
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.
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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.
Usually, in the deep learning community, it is claimed that generalized representations that yielding outstanding performance / effectiveness require a huge amount of data for learning, which directly affect biometric applications.
Whereas Part 1 primarily focuses on the fundamental theoretical developments and rigor of the generalized representations as related to stability, accuracy and the like, in Part 2 we specifically focus attention towards practical second-order time accurate representations including also assessing the algorithmic attributes and extensions to nonlinear situations.
By using Moore Penrose generalized inverse and generalized singular value decomposition, the necessary and sufficient conditions of its solvability are obtained and a solvable general representation is presented.
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