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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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?
... and there are more conventional verbs you could use.
In a scientific paper, you should use the most straightforward language possible.