The reliability of these design methods highly depends on the accuracy in estimating the effective length, slenderness modification equations and the interaction equations.
An appropriate modification of Equation 29 is given as a linear quadratic Verhulst equation: dx ( t ) = x ( t ) ( λ - x ( t ) ) dt, Open image in new window (30).
Therefore, with modification in Equation 6, this trend is reversed to satisfy the characteristics of the micro-crack.
With modification, FN Equation 1 can be used to describe the linear relationship between ln(J/E 2) and 1/E, i.e., ln ( J E 2 ) = − B ϕ 3 2 β − 1 E + ln ( A ϕ − 1 β 2 ) (1).
We have used a modification to equation 2 in Fay and Wu [ 14] to convert this to an estimate of heterozygosity within Holstein to compare this result with the estimated heterozygosity from equation 3. Hence, Holstein heterozygosity was estimated as (4) where dI is the polymorphism rate at noncoding sites estimated from MacEachern et al. [ 20] and n = the number of chromosomes sampled.
We compute a weighted harmonic mean based on the theoretical variance of in the two time periods, using a simple modification of Equation 3 to compute the weights: (A4) This variance applies specifically to the LD method, but for lack of quantitative information regarding precision of the ABC method we use it for the combined LDN e + O ne S amp estimates as well.
The corrected probability of a mosquito surviving the eventual host attack is calculated with the following modification of equation 13 of the original model, 8 assuming that the proportion of all attacks that end in death is the sum of mortality probabilities for attacking protected and unprotected hosts, weighted according to the proportion of the availability of all hosts that they represent.
Two additional modifications of Equation 6 are implemented.
Appropriate modifications to equation 1 are in place for the fixed effects counterpart.
