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It was completely made up. We probably have to thank the Traveller for preventing Kosinsky from blowing up the ship while he was randomly hitting buttons.

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What else the nature are the elementals of space ?

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The episode just says that Kosinski came up with a new intermix ratio and different ways of entering warp speed. Although the Traveler was doing most of the work, Kosinski's methods must have had some merit to them as Crusher used his equations in TNG: Remember Me. Admiral William Thomas Riker 19:16, August 9, 2011 (UTC)

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It was most likely a complex set of differential equations that would define the warp field since changes to the field would affect efficiency.

These equations are specifically referred to in canon in ST:TNG "Where No One Has Gone Before" as Bessel functions, which are actually used in the real world in connection with measuring and defining geometric magnetic fields.
--ProfessorTrek 10:34, February 13, 2012 (UTC)

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