Ones's = Not correct English
one's = Belongs to one
ones' = Belongs to multiple ones
So the answer is one's
Answer:
The relationship is clear.
The equation of both scientists are dependent on one another to get a message across to any life form out there in space is it exists.
Doug Vakochs' equation focuses on the message that would most likely communicate intelligibly to Aliens whilst Philip Lubin's equation focuses on how the message will get to it's intended destination.
Explanation:
In the paragraph below (an evidence from the text, Lubin explains why it is impossible to just aim at a start and shoot signals (Doug Vakoch's equation) into space.
Please see paragraphs 16 & 17, 20 and 21 of the text.
Cheers!
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