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Starting from the fact that P ≥ 0 and utilising formula (23), it can be shown in a straightforward way that, from which, based on Eq. (24), we may conclude that all eigenvalues are less than or equal to one.
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Nei's Diversity Index of the VNTR loci was calculated from the range of alleles generated from the reference strains utilising the formula; D = 1-Σ allele frequency)2 [ 31-Σ allele
The index of the degree of aggregation was measured utilising the formula 100 × (N0/ N60), where N0 is the total cell number per well and N60 is the total number of particles after 60 min of incubation as determined by counting in a Coulter Counter Z1.
In honour of the college basketball tournament that begins this week, we made just such a bracket, utilising a complex formula to seed the potential Hitlers and an even more complex formula to determine the winners of each matchup (that is, we just sort of made the whole thing up).
Clooney seemed visibly dissatisfied with the decision, offering: "Big George?" When Menounos suggested utilising the traditional formula for stripper names (your first pet's name combined with the street you grew up on), Clooney's answer came to; "Big Boy Fourth Street".
Finally, the field tensors are passed down the tree, utilising the shifting formula F n ( z + x ) = ∑ | m | = 0 p − | n | x m m !
The CR can be figured out by utilising the following formula: mathrm{CR}=left uplambda max hbox mathrm{n}right)/left(mathrm{n}hbox 1right)left(mathrm{RI}right).
We employ a modern initial value problem solver utilising backward differentiation formulas and Jacobian-free Newton Krylov methods to solve these systems.
Equilibrium method is utilised to deduce formulas of elastic buckling load of pin-ended PCS-BRB.
NEVER blindly apply formulas.
The C&G formula was utilised and even though there are other bedside formulae available, all have similar significant limitations (Poole et al, 2002)].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com