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Is the expression "as an affirmation of its efficiency, we show that" correct and adequate for a scientific text? Or should it be "as a confirmation of its efficiency, we show that"?

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That really all depends on whether your intentions are to affirm it or confirm it. A dictionary should help resolve your dilemma. –  Jim Feb 27 '12 at 14:23
    
Voting to close as general reference. Please look up the words in a dictionary. –  Robusto Feb 27 '12 at 14:44
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closed as general reference by Robusto, RegDwigнt Feb 27 '12 at 17:50

This question is too basic; it can be definitively and permanently answered by a single link to a standard internet reference source designed specifically to find that type of information.If this question can be reworded to fit the rules in the help center, please edit the question.

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up vote 2 down vote accepted

This is valid grammatically, but it's a baroque way of conveying the meaning. Why use a verb that's been turned into a noun (affirm -> affirmation) when you can just use the verb, and make it easier to understand?

To affirm its efficiency, we show that...

... and there are more conventional verbs you could use.

To demonstrate its efficiency, we show that...

To confirm its efficiency, we show that...

In a scientific paper, you should use the most straightforward language possible.

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