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Which of these sentences sounds correct?

These dynamics are used to explain the convergence toward an equilibrium state.

These dynamics are used to explain the convergence towards an equilibrium state.

I have been reading a lot of posts, but I still have doubts. Need your suggestions :).

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2 Answers 2

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Many years ago, on alt.usage.english,
somebody asked about toward and towards,
and included beside and besides for good measure.

This was my answer.
Basically, they're both correct, and there's no difference.
This is not true of beside and besides, however.

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I think perhaps "towards" has to do with first part of a path between two things and "toward" concerns the other end of the path. If the path is a straight line, it doesn't make any difference. If the path has bends, it might. I don't see a difference for your example.

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