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The phrase "according to your knowledge" is correct and usable in written English.
You can use it when referencing someone's understanding or information on a particular subject.
Example: "According to your knowledge, what are the main factors contributing to climate change?"
Alternatives: "based on what you know" or "as far as you know".
Similar(57)
Tweak the recipe according to your local knowledge of the birds (read in books, online or call your local bird society to find out more).
Also, remember that nobody is average, so you need to also define your time according to your self-knowledge.
"According to our knowledge, Atta traveled to Afghanistan for some months in 1999 until early 2000," Mr. Kersten said.
According to evidentialism, knowledge requires adequate evidence.
According to TK, knowledge that p is, at least approximately, justified true belief (JTB).
These included novel transcripts which have not been characterized in any other vertebrate species according to our knowledge.
According to Patrick, knowledge was his key to understanding the benefits behind breastfeeding.
At the deposition, testify only according to personal knowledge and do not guess or speculate.
However, the knowledge about side effects of this plant is relatively little according to knowledge about its therapeutic effects.
The conversations are continuing, according to people with knowledge of the discussions.
These markets may include Vermont, New Hampshire and Maine, according to people with knowledge of the company's strategy.
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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