31. This solution in radicals involves the imaginary number \ sqrt and hence involves the cube roots of complex conjugate numbers. 32. Before Bombelli delves into using imaginary numbers practically, he goes into a detailed explanation of the properties of complex numbers. 33. He seems no more or less emotionally moved by this than by the revelation that he cannot understand imaginary numbers . 34. See also Imaginary number which explains the name and uses . talk ) 15 : 01, 19 November 2009 ( UTC) 35. Could a system of advanced mathematics develop without abstract concepts like vectors, imaginary numbers , or matricies, or are they somehow necessary? 36. They devise a stimulus based on those techniques which should lead to imaginary numbers in the result of the squid equations. 37. Each element of this subspace can act as the imaginary number " i " in a complex subalgebra of the quaternions. 38. Where a is an imaginary number ( opposite to its own complex conjugate ) and b and c are complex numbers. 39. To do complex rather than just imaginary numbers , use Euler or else the Tardis 22 : 45, 28 September 2006 ( UTC) 40. This is the first acoustic EP of the band . " Imaginary Numbers " was written and produced by The Maine themselves.