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An exact solution is obtained during Phase 1, provided that the conditional optimization problem is solved under a certain condition.
"If you have an instrument by a known maker, it's documented that it's in a certain condition, it will be worth so much.
Once people get insurance coverage for a certain condition — in this case, fertility — they tend to like it and want to keep it.
To say that there is a pair of objects satisfying a certain condition is equivalent to denying that every pair of objects fails to satisfy that condition, and to say that every pair of objects satisfies a certain condition is equivalent to denying that there is any pair of objects that fails to satisfy that condition.
Someone gets a gene test showing a slightly elevated risk for a certain condition.
Further more, under a certain condition, a policy iteration type algorithm can be developed.
It is used to define an IntentScope with entities, which satisfy a certain condition.
The following corollary states that T has a fixed point under a certain condition.
In addition, aeolian dust may accumulate in sediments under a certain condition (Liu et al. 2015).
(This condition can be relaxed to a certain condition called very slow dimension growth).
We prove that our algebras are AF-embeddable when actions satisfy a certain condition.
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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