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The phrase "adapted process" is correct and usable in written English.
It can be used when referring to a process that has been modified or tailored to better suit specific needs or circumstances.
Example: "The adapted process for training new employees has proven to be more effective than the previous method."
Alternatives: "modified procedure" or "tailored approach".
Exact(31)
Choosing the adapted process involves designing an adaptive control force algorithm in a stochastic environment that targets to drive the response to first passage failure based on information up to the present.
Finally, the adapted process instance is redeployed and restarted by the Process Engine.
In this work the adapted process is designed using concepts of deterministic optimal control.
Since K is an adapted process, from the first conclusion in Lemma 3.4, we deduce that K † is also adapted.
This is a unitary adapted process with initial space (mathfrak{h}_{0} = mathfrak{h}_{M}otimesmathfrak{h}_{G}).
(i) is a adapted process; (ii) has a continuous paths on almost surely, and or arbitrary, (2.3).
Similar(29)
By delicate stochastic analysis, the problem is converted to a standard optimal stopping one involving adapted processes.
where F t) and G t) are adapted processes with suitable properties, the will be chosen later.
Hudson and Parthasarathy [1] have developed a quantum Itō calculus where the basic objects are integrals of adapted processes with respect to the fundamental processes (Lambda^{alphabeta}).
Throughout this paper, (mathcal {X}) relates to either the space of random variables L p, or the space of adapted processes (mathbb {V}^{p}).
The coefficients of the system and the weighting matrices in the cost functional are allowed to be adapted processes with respect to the common noise filtration.
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