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→Arbitrary definition for using the imaginary square root of -1
:The square root of negative one is imaginary; Euler's formula is simply a definition rather than a mathematically derived theorem. It's interesting that the comments above compared this with E=mc<sup>2</sup>, because in both cases it is simply a redefinition rather than a derivation.--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 17:57, 16 August 2015 (EDT)
:The square root of negative one is imaginary; Euler's formula is simply a definition rather than a mathematically derived theorem. It's interesting that the comments above compared this with E=mc<sup>2</sup>, because in both cases it is simply a redefinition rather than a derivation.--[[User:Aschlafly|Andy Schlafly]] ([[User talk:Aschlafly|talk]]) 17:57, 16 August 2015 (EDT)
::Mathematically, you can derive this formula by doing standard mathematics (i.e., calculating series) in the field '''R'''[x]/[x²+1]. --[[User:AugustO|AugustO]] ([[User talk:AugustO|talk]]) 18:08, 16 August 2015 (EDT)