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An imaginary number is a number whose square is negative. The term was coined by René Descartes in the seventeenth century and was meant to be derogatory: obviously such numbers don't exist. Nowadays we find the imaginary numbers on the vertical axis of the complex number plane. Every imaginary number can be written as <math>ib</math> where <math>b</math> is a real number and <math>i</math> the imaginary unit with the property that
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