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"absolutely stable" is correct and can be used in written English.
It is typically used to describe something that is completely or entirely stable, without any possibility of changing or falling apart. Example: The foundation of the building is absolutely stable, making it resistant to earthquakes and other natural disasters.
Exact(60)
"We're absolutely stable".
An implicit efficient operator-splitting time stepping is designed and proved to be absolutely stable.
The cohesion energy calculation indicates that these substituted systems are absolutely stable.
"All those things taken together create an absolutely stable situation in the country," he said.
His condition is not worrisome, and medically he is absolutely stable".
It was never something completely organic or divorced from society or something absolutely stable either.
They buy in a location where they know the value will be absolutely stable".
First came the reminder that Mr Prodi's government is not, after all, absolutely stable.
Employing a conservative central-difference approximation of the non-linear terms makes the scheme absolutely stable without using upwind differences.
From the analysis it is shown that the proposed loop is absolutely stable for all kind of parameter variations.
The president of a large steel company said the order average in the last four weeks had been absolutely stable.
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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