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"without considering that" is correct and usable in written English.
You can use it when you want to express that something happened without taking into account a certain fact. Example sentence: I decided to go on holiday without considering that flights would be so expensive.
Exact(37)
The book is for everyone who has ever felt discouraged by people who say "no" without considering that "yes" might be a possibility.
Mr. Organschi, who teaches at the Yale School of Architecture, also said that, historically, it's been bad policy to rip down structures without considering that tastes, even for super-scale edifices, might someday change.
This assumption has seen little direct empirical testing: most studies on nest-site selection simply assume that sites are chosen actively (and seek explanations for such behaviour) without considering that sites may be selected randomly.
Social indicators revealed that the soil conservation program only encourages participation through economic stimulus without considering that non-financial interest can play an important role, then the rate of adoption and replication of these measures is low.
Similarly, not only does the Proxy Statement not claim that its similar transactions analysis considered only identical transactions and companies, but instead expressly states that it has adjusted MONY's numbers to make it more comparable to other companies and transactions, and comparison without considering that adjustment will lead to a skewed result.
A good accuracy is also obtained for a wide range of KX and KP; in fact, reactances can be estimated without considering that 2D geometry is not an exact representation of real 3D geometry (unlike power losses during the tests, where this fact must be taken into account).
Similar(23)
Still, Fellowes makes a compelling case that retirees' money may be managed too conservatively, not only because they're too pessimistic but also because many retirement allocation models look at their savings in isolation---without considering that Social Security and pensions themselves count as fixed income investments.
To execute Mr. Davis without fully considering that evidence would be "unconscionable and unconstitutional," wrote Judge Barkett, who has voted in more than 200 other cases to uphold the death penalty.
Such concern is not without irony considering that Australia's biggest swimming star, Thorpe, who is in the midst of a thus-far deflating comeback, has been training in Switzerland under a foreign coach: the Russian Gennadi Touretski.
And that's without considering any that are still beavering away unnoticed.
He believed that it was possible to have evolutionary change result from direct selection favoring a trait without having to consider that changed trait as an adaptation.
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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