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Exact(14)

By numerical calculation, Δ Z changing with the space can be derived as shown in Figure 14.

Then, the following cases with according types of actions can be derived as shown in Table 9.

(3) and (5), the copula density can be derived as shown in Eq. (6), where I denotes an identity matrix and Tr denotes transpose operator.

The predictive equation of the prestressing force as affected by the friction can be derived as shown in Eq. (1) (Nilson 1987).

According to Eqs. (1) and (2), direct economic benefit and comprehensive economic benefit of South-to-North Water Diversion during 2008 2013 to Beijing GDP can be derived, as shown in Table 5.

By substituting (19) into (24) and performing the similar algebraic manipulations as in Appendix 2, the closed-form expression for GM of γ can be derived as shown in (23).

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Similar(46)

The wave vectors of P and S wave, ( l_{text{p}} ) and ( l_{text{S}} ), are derived as shown below.

Using the state balance equations under the equilibrium conditions the generator matrix G for the above Markov chain is derived as shown in (1).

In the futures market, set up of the total output or real call returns (RCR) is derived as shown: V = (TTQ/TTV)×DCP, or.

Analysis on the economic benefits requires understanding of the investment price model of the wind power generation unit of which its break-even price in the year i is derived as shown in (1).

Lastly, based on the foregoing built model, the water direct value-added output coefficient and the water complete value-added output coefficient of Beijing's various industrial departments are derived as shown in Table 3.

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