Sentence examples for recalled in the appendix from inspiring English sources

The arguments leading up to the statement of Result 1 and the Kac Rice formula which is recalled in the Appendix prove that (mathbb{E}[ mathcal{N}_{J,theta_{0}} ] = ellcdotfrac{sqrt {lambda} }{pi}), where (lambda= mathbb{E} [varPhi'(0)^{2} ]).

This result is difficult to prove because the spectrum (the main definitions for the spectrum of a linear operator are recalled in Appendix A) of the infinitesimal generator neither reduces to the point spectrum (set of eigenvalues of finite multiplicity) nor is contained in a cone of the complex plane C (such an operator is said to be sectorial).

Meyer and, for the sake of easy reference, related results are recalled in Appendix Appendix C. Let us denote by K w the compensator of the default process H introduced in (9): (H_{t}:=mathbb {I}_{left { tau leq tright }}, tgeq 0).

In the second case we exploit the Malliavin's theory of surface integrals which is recalled in Appendix A of the paper, then we are able to give a meaning to the trace of φ at ∂K and to show that it vanishes, as it is natural.

Some useful matrix formulae are recalled in Appendix 1.

end{aligned} (4.1 Another approach is provided by spectral analysis that we recall in Appendix 1 (see Priestley 1981 for alternative approaches).

We recall and also review in the appendix the relations between m,v for mean-variance efficient portfolios given by begin{array}rcl@ frac{left(m_{1}-w_{1}right)^{2}{v_{{1}-{sigma_{1}^{2}}} &=&frac{w_{1}}{sigma_{1}^{2}}left(rho_{1}-w_{1}right) end{array} (12).

In the Appendix we recall some useful results concerning the index theory for linear self-adjoint operator equations in [2] which will be used in other sections.

In the appendix, he is referred to as "T.F".

The longlist of 27 Club members in the appendix sinks the concept for good.

Convergence proofs are given in the Appendix.