When the reward factor [theta] is 0.20 and the penalty factor [sigma] is 0.60 in the simulation experiments, we randomly tag the nodes whose initial

expectation value is 0.50.

This approach can be extended to the

expectation values of the current density [1] and then to the calculation within the Floquet scheme of nonlinear optical properties under intense laser fields (high harmonic generation [35] and saturable absorption [36, 37]) of graphene.

The key to obtain the correct

expectation values of the potential is to first find out <0[absolute value of ([phi][phi])]0>.

The customer total consumption and the service

expectation value are very high so this kind of customers value is high.

An essential point in this process is the expansion in an auxiliary orthonormal basis, which allows all occurrent

expectation values to be written either in terms of the coefficients of the transverse dynamic spin susceptibility itself or in terms of other observables that can be obtained independently.

Because Z[??] is the interval grey linguistic variables, we can get the ranking alternatives by the

expectation value I(Z).

If h is even, then the

expectation value can be reduced to <hf, f> = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], but

Next, as an independent measure of a possible psi effect, one calculates the

expectation value and the variance of Pot for the specific observed N value.

Using the mass

expectation values in the marble-sized regions A and B calculated in Appendix A, we obtain

(12) This

expectation value is referred to in the United States as the "option privilege." (13) In many cases the amount of the

expectation value can be agreed to in advance with the Dutch tax authorities.

So, we obtain the

expectation value <([PI] + Y[PHI])(x)([PI] + Y[PHI])(x')> = [[gamma].sup.2][[beta].sup.-1.sub.1(x, x').

The PES associated with the IBM Hamiltonian of equation (1) is given by its

expectation value in the coherent state and can be written as: