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The phrase "by knowing that" is correct and can be used in written English.
It is typically used to add a sense of understanding, insight, or wisdom into a sentence. For example, "His hesitation stemmed from by knowing that the decision was a difficult one."
Exact(59)
Ms. Lux may be comforted by knowing that landlords apply similarly high standards to much wealthier tenants.
Perhaps Mr. Gerstner's fervor was heightened by knowing that I.B.M.'s slide would soon cost him millions of dollars.
But above all by knowing that mere reason, essential though it is, is only half of the business of reaching momentous decisions.
What better way to remember that anyone, at anytime, could be reading than by knowing that, indeed, Big Mother is watching?
These men, for example, were not put off from committing murder by knowing that others have been hanged for that crime.
Mr. Yudof said that he was comforted by knowing that hundreds of students still received millions of dollars in financial aid to help them pay for tuition.
Will that be any comfort to her? Will she be soothed and cheered by knowing that millions of strangers care about her recovery?
And you must preface all that by knowing that HRT only gives your bones protection for as long as you take it.
By knowing that, this probability affects on the utilization factor.
The X-Men is not spoiled by knowing that evolutionary theory isn't big on mutations that grant random superpowers.
This situation can be included in our formulation by adjusting our model parameters by knowing that (mathbb {E}[H_{i}(t)] = p_{i}(t cdot e_{i}).
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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