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The phrase "a letter determining" is correct and usable in written English.
It can be used when referring to a letter that makes a decision or establishes a conclusion about a particular matter.
Example: "The committee sent a letter determining the outcome of the application process."
Alternatives: "a letter deciding" or "a letter establishing".
Exact(1)
On March 24, the New York Times published a letter determining, in essence, that Hillary defies convention.
Similar(59)
If you would like to contact your legislator by phone or if you would like to write them a letter, determine which state Assembly member and state Senator represents you by using the link below.
It's even more frustrating that I didn't have a single human interaction but was delivered form letters determining my fate — likely sent from somewhere halfway around the world," New York-based Weber wrote on LinkedIn.
Top tournament players must master as many of the 178,000 acceptable 2- through 15-letter words as possible, "see" them among a jumble of letters, determine which maximize the chances of winning and consider an opponent's possible countermoves, all while a timer ticks from 25 minutes to zero for each player to make all plays.
These 'keys' are actually long strings of numbers and letters, determined by a mathematic encryption algorithm.
It's just like the order of letters determine the meaning of a word, only DNA is written out in a barcode locus.
At one end of the distribution, units are conventionally marked with the letter A, which determine the main part of the results.
Recently, some 28,000 New York City families waited nervously to receive a letter that would determine the future for their kids.
The number of chances they have to play a letter card is determined by the initial letter; you can play up to 4 cards if an ace has been played, 3 for a king, 2 for a queen, and just 1 for a jack.
Each piece of paper contained a single letter which determined the order of treatment as follows: a) Room air (no intervention).
(Such relationships with undergraduates are always prohibited. See Section 9.5.3.1). Examples of "indirect" supervisory authority or "other authority" are the ability to evaluate, to assign or recommend a role in research, to write a letter of recommendation, to determine authorship on papers, and to influence who goes to conferences or who has access to equipment or resources.
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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