41. Specifically, a centered trochoid is a curve that can be parameterized in the complex plane by 42. In the complex plane \ mathbb { C } which will either escape or remain bounded. 43. Considered as a Riemann surface, the open unit disk is therefore different from the complex plane . 44. However, the maximum modulus principle cannot be applied to an unbounded region of the complex plane . 45. Take two complex numbers in the complex plane . 46. A point in the complex plane can be represented by a complex number written in polar coordinates. 47. The nulls between sidelobes occur when the radiation patterns passes through the origin in the complex plane . 48. Which is a meromorphic function on the complex plane with values in the vector space of matrices. 49. Most of all, he was flying a fast, complex plane that could quickly get him into trouble. 50. The notation implies this is a line integral taken over a vertical line in the complex plane .