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Suppose we are provided with a set of aligned sequences from M species, whose evolutionary relationship is described by a phylogenetic tree 𝒯=, specified by a collection of nodes 𝒩 and edges ℰ. Assume 𝒯 is a rooted binary tree, in which case the tree contains N=2 M−1 nodes with M−1 being internal (corresponding to ancestral species) and not directly observable.
If you have all the things we're supposed to provide, we have nothing to give you".
How are we supposed to provide electricity for the billions of people who still lack access to reliable energy -- a basic right -- without using carbon?
We are supposed to provide them with a safe environment, not poison them," he said.
Why does a hospital system need an economics department? A. There is so much pressure on health-care organizations these days because we're supposed to provide the best care possible but do it in an efficient manner.
In this context, in a typical language program which has literature as the culmination of the program, it is no longer certain exactly what content we are suppose to provide particularly at the advanced level.
For example, in my department we are supposed to provide 12 hours of work per week.
The Constitution gives the Senate a role in the appointment of judges, and we are supposed to provide advice and consent, not direction.
Moreover, we denote by the sum and suppose is positive, provided that is small enough.
Travel expenses are not supposed to be provided by the hospital.
The decision aid is supposed to be provided 2 weeks before the teaching session.
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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