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As in the case of fusion, this technique does not allow a direct generalization to logics other than modal ones.
A direct generalization to nonlinear equations is given by the extended Kalman filter [14]; it is based on the sensitivities of the equation.
This approach of computing attracting and repelling slow manifolds is a direct generalization to higher dimensions of the method used in [35, 38, 45, 48]; it can also be used for computing attracting and repelling slow manifolds in any system with two slow and an arbitrary number (n geq 1) of fast variables.
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This method is a direct generalization of PLS to arbitrary likelihoods, whereas the original PLS method (including that used by Nguyen and Rocke) is designed for Gaussian likelihoods only.
This leads to a direct generalization of Kahn process networks to tagged process networks.
Otherwise, a direct generalization of the notion leads to the blurring of the meaning and confusion in the use of the term.
In the following, we describe a direct generalization of single sample PCF to handle multiple samples simultaneously, obtaining common breakpoints for all the samples with minimal residual sum of squares for a given number of breakpoints.
Kaplan introduced the H-type group as a direct generalization of the Heisenberg group, which motivates us to study the H-type group.
Meanwhile, it is important to point out that the proof of the properties of the solution is not a direct generalization for systems without Lévy noise and some new techniques are devised to deal with the difficulties due to Lévy noise.
The results provide a direct generalization of Luenberger's linear theory of functional observers to nonlinear systems.
We treat the most general case of exponential trichotomy of skew-product flows (see Definition 2.4) which is a direct generalization of the exponential dichotomy (see [13, 14, 19 22]) and is tightly related to the behavior described by the central manifold theorem.
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