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For the case of i ties, we present an algorithm for the computation of the ∑ i = 1 k - 1 v i 2 in Additional file 1. Readers who are not interested in the details of this algorithm may want to skip the Additional file 1 and go to data example section, in which examples based on real data are provided.
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Chef Flay and I tied.
I tied up and lay down.
I tied the laces and kept going.
"So I tied him up – like this!
Three days later, I tied her tubes.
I tied on a Crease Fly.
I tied them and stood up.
"I tied at least five, six legs with tourniquets".
"But can I tie it in to all this?
Then I tied up and walked up a dirt road.
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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