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A violation of metric invariance implies that the factor loadings are not equal over samples.
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But while it is a boost for the government, it does not equal victory over the rebels.
Assuming independent positions we estimated the fluctuation rate by r α β = ∑ γ min (n, n ∑ γ n where α, β are elements of the set A, C, G, T, – with α not equal to β, γ runs over all CR-HGs where α or β are dominant, n x, γ) denotes the number of samples in CR-HG γ with symbol x and n denotes the total number of samples in CR-HG γ.
And shared anxieties – such as those over proliferation – do not equal identical interests.
"As UK court judgements over the past two years have confirmed, our bulk collection does not equal bulk surveillance.
We promise equal opportunity, not equal outcomes.
Opportunity is not equal.
They are not equal.
"Separate but equal" is not equal.
But not equal marriage.
We are not equal.
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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