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"with the certainty" is a correct and usable phrase in written English.
It typically expresses a feeling of assurance, or an affirmative attitude towards something. For example, "He looked at the question with the certainty of someone who had already learned the answer."
Exact(57)
We moved with the certainty that each moment mattered.
HE defends his vision of the future of cyberspace with the certainty of a physicist.
Every player eventually must deal with the certainty that baseball will outlast him.
The Blind Boys sang about facing death and tribulation with the certainty of faith.
Even so, bankers say, it's hard to argue with the certainty of a cash offer.
And also inconsistent with the certainty he displays everywhere else, including on this album.
I think it was probably something to do with the certainty and the precision of his moral clarity.
Ali had forecast his triumph with the certainty of a soap-box preacher proclaiming the end of the world.
Just like moons and like suns, With the certainty of tides, Just like hopes springing high, Still I'll rise.
They will come again, no doubt, but not with the certainty that marked their long reign at the top.
Similar(1)
Numerical simulations are presented to highlight the various benefits of the proposed method compared with the certainty-equivalence-based control method and filter-based I&I control schemes.
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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