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I've found in this community this question and this other question mentioning the antonym of the adjective dependent, which is independent.

What I wanted to know is how to use a proper antonym verb for to depend, since there is no such a thing as to independ?

This would be used in a context like:

The figures also show that the convergence behavior [independs] on the number of terms.

closed as off-topic by RegDwigнt May 26 '14 at 8:58

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    English doesn't have all the words we'd sometimes like. – Edwin Ashworth May 26 '14 at 8:30
  • What is the Portuguese verb, have you looked up the translation in a bilingual dictionary, and what did it say? – RegDwigнt May 26 '14 at 8:51
  • @RegDwigнt the portuguese verb is independer and the bilingual dictionary suggests to use is independent or are independent depending on the context... – Saullo G. P. Castro May 26 '14 at 8:55
  • Well then, that's the answer. – RegDwigнt May 26 '14 at 8:59
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As "not depend" is the opposite of "depend, "does not depend" should serve you well.

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The figures also show that the convergence behavior "is sufficient unto itself".

The figures also show that the convergence behavior "can dispense with/can do without" the number of terms.

*The figures also show that the convergence behavior "can work on its own without" the number of terms".

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Another good possibility is to use the adjective independent:

The figures also show that the convergence behavior is independent of the number of terms.

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    Independent takes the preposition of, so it should be "the convergence behaviour is independent of the number of terms". – Rahul May 26 '14 at 7:56
  • @RahulNarain thank you very much for the feedback... how do you know that it takes the preposition "of"? – Saullo G. P. Castro May 26 '14 at 7:58
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    Sadly, there is no logical reason why it goes dependent on but independent of, but this is how prepositions are in English. You can look up usage examples in a dictionary, such as here, entry 1c(1): "independent of her parents". – Rahul May 26 '14 at 8:07

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