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Re:Modular forms, the ‘fifth fundamental operation’ of math by citrusui on Friday September 22, 2023 @02:59PM (#37616220)
Correct me if I'm wrong but (1+i)^2 = 2i is false? I thought it is = (i^2)+2i+1
Re:Modular forms, the ‘fifth fundamental operation’ of math by xeonmc on Friday September 22, 2023 @03:11PM (#37616358)
(1+i) = scale by sqrt2 and rotate by 45deg

rotate45(rotate45(0deg)) = 90deg

sqrt2 * (sqrt2 * (1)) = 2

Length 2 in 90deg direction is 2i

Re:Modular forms, the ‘fifth fundamental operation’ of math by hashmush on Friday September 22, 2023 @03:05PM (#37616282)
i² = -1, so it all works out