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The power series derived in this appendix are required for the proofs of the linear representations in Section 3.
It turns out that the numerical simulations of the stochastic model are not that sensitive to the particular expressions derived in this Appendix.
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where and is derived in the appendix.
More related results are derived in the Appendix.
Explicit expressions of the measures are derived in the appendix for specific elliptic distributions.
The optimal conditions for Equations 19-20 are derived in the appendix.
By using the discussion above, the following approximations are derived in the Appendix.
Parameter in (14) is set to be the expected value of random variable, derived in the appendix.
The Jacobian of F with respect to B is derived in the Appendix in Equations 22, 23 and 24.
The averaged equations are derived in the Appendix by using a two-timescale approach after performing a random time change which depends on the solution.
To do so, by defining the vector u = (ΦΠΦ H + η I)− 1 y, the 2D CGLS is derived in the Appendix as summarized in Table 2.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com