21. The 2002 economics prize went to executives at Enron and Tyco for their use of imaginary numbers . 22. In the case of imaginary numbers , thinking of the complex plane versus a number line may help. 23. After reading Complex number I still don't get what makes the invention of imaginary numbers so special. 24. It doesn't visually explain however why squaring an imaginary number results in a real number with negative sign. 25. How about just imaginary numbers then? 26. Other mathematical principles seem to apply to all numbers, including fractions, decimals, irrational numbers, negatives, imaginary numbers , etc. 27. Bombelli had the foresight to see that imaginary numbers were crucial and necessary to solving quartic and cubic equations. 28. The ratio contains an imaginary number , and actually contains both the amplitude and magnitude of the ratio, that is: 29. It is important to keep in mind that C can contain imaginary numbers , thus the wave function will be complex. 30. However, the Imaginary Numbers turn on Bal and reveal that the MIDAS used in the Philippines was a successful duplicate.