Sentence examples for using the above formulae from inspiring English sources

end{aligned} (8 It should be noted that in order to find numerical solutions by using the above formulae, one has to calculate among other functions, (g x,{varvec {theta }})) for different parameter vectors ({varvec {theta }}), which may stop the iterations of the algorithm because (g x,{varvec {theta }})) may not be defined for the corresponding ({varvec {theta }}) vector.

The content of all leaflets were entered into an automated online program to calculate their readabilities using the above formulae [ 33].

Using the above formula we get | ∇ H ( z ) - β z | ≤ λ + 2 | z | + d 1.

Alkaline phosphatase activity was calculated using the above formula and expressed as U/g protein.

Using the above formula (8), the following lemma can be easily established: Let α>0, β and γ be real.

The total calculated energy is as shown in formula 18, and it can be calculated in Joule units using the above formulas in Joule units.

Using the above formula (equation 1), the sample size was computed to be 400 respondents out of 18,133 households in the study area as indicated in Table 1.

0.3 if S [1 3). 0.4 if S [3 5). 0.5 if S ≥ 5. In this study the LS-factor was determined using the above formula.

Using the above formula we can estimate the occurrence rate of a large earthquake with magnitude ≥6.8 in each modeled cell of 10 × 10 km.

Using the above formula and (2.6), we have 0=lim_{ntoinfty}bigllangle J^{prime}(v_{n}), varphibigrrangle =bigllangle J^{prime} v),varphibigrrangle (2.11) which yields the claim.

Leakage power consumption PDC and Pon can be obtained using the above formulas, and leakage energy consumption EDC and Eon can be obtained by multiplying calculation time t.