Sentence examples for follows appendix from inspiring English sources

The MGF of can accurately be approximated as follows (Appendix A): (12).

By substituting (24) into (B.1), a closed-form expression for the average SER can be derived as follows (Appendix F): (27).

In this case, the CCDF of can be obtained by substituting in (A.4) and by using the identity of the Marcum- function, as follows (Appendix D): (24).

An accurate closed form average SER approximation can be derived by integrating over the PDF of the SNR as follows (Appendix B): (14).

With using (n=1) in (4.2) conformal invariant wave equation for (Psi _{alpha }) obtained as follows (Appendix 2): begin{aligned} (Q_{0}-2 Psi _{alpha }=0, end{aligned} (5.5 where (Psi _{alpha }) is a spin- frac{3}{2}) field on the cone.

Localities with individuals available for genetic analyses are indicated in bold; locality number, between square brackets, follows appendix, follows Appendix.

For small error conditions such that c ̂ is sufficiently close to c, we follow Appendix 1 (see [9] for the first-order perturbation analysis) to compute the variance of the phase-difference estimate.

Following Appendix A, R' for the SELDCRS model can be calculated from the product of number of infectious doses produced at rate φ by an infectious animal over the duration of the infection (1/ κ+1/ α), the time these infections survive in the environment (1/ χ) and the number of animals that will be infected at a rate of ξ N, so that: R ' = ϕ ξ N (1 / κ + 1 / α ) χ.

The treatment follows closely Appendix B so that here we emphasize only the major differences.

The mean value of T p under H 1 can be found as follows (see Appendix 3): mu_{1}=bgamma (37).

According to the decision rule using IF-DDT in Eq. (9), the probabilities P f,k and P d,k are obtained as follows (see Appendix 1) P_{f,k}=mathbb{Q}left(frac{lambda_{0,k}-N}{sqrt{2N}}right P_{0,k}+mathbb{Q}left(frac{lambda_{1,k}-N}{sqrt{2N}}right)(11P_{0,k}) (11).