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The phrase "take for certain" is a correct and usable phrase in written English.
You can use it when you are certain or confident that something is true. For example: "Though there is no proof, I take for certain that this is the correct path."
Exact(2)
In particular, when we take for certain point, the condition in Theorem 4.5 about can be deleted.
They're often happy to provide advice on places to go, attraction to avoid, restaurants to try, specific dishes to order and the best routes to take for certain excursions.
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There are other such pre-meds taken for certain areas so do check even months prior to your departure.
It used to be that the middle class could take for granted certain basic things in this life: light, space, quiet.
Nevertheless, they always make assumptions or take for granted certain values and beliefs (mostly their own) when they construct artifacts.
"I'm at the very young end of the Baby Boom generation, which meant that I did not come of age in the sixties — took for granted certain freedoms, certain attitudes about gender, sexuality, equality for women, but didn't feel as if I was having to rebel against something," Obama said.
Take, for example, a certain class of luxury goods.
Take, for example, a certain manicured gentleman who took her to dinner one night.
This is not because everyone is dishonest; it is because all adult interactions take for granted a certain degree of insincerity and indirection.
Most characters in the modern commercial genre called "literary fiction" take for granted a certain unexamined metaphysics and worry exclusively about the higher-level complexities of circumstance and relationships.
Today we take for granted a certain degree of cultural relativism, and most of us are ready to accept that ancient peoples understood the world differently from us, and therefore had different ideas about natural and divine causation.
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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