31. You have a well defined and convergent power series expansion about each point of the complex plane. 32. It was published in 1748, obtained by comparing the series expansions of the exponential and trigonometric expressions. 33. In light of the power series expansion , it is not surprising that Liouville's theorem holds. 34. The Fourier Bessel series expansion has also been used to reduce cross terms in the Wigner Ville distribution. 35. In flight, the actual trajectory is modeled mathematically as a Taylor series expansion around the reference trajectory. 36. This law can be related to redshift " z " approximately by making a Taylor series expansion : 37. But from the original infinite series expansion of } }, the coefficient of is " } }. 38. A Taylor series expansion of a nonlinearity will show multiplications that give rise to the desired higher order products. 39. A straightforward series expansion applying the commutativity properties of the Dirac matrices demonstrates that ( ) above is true. 40. Firstly, it is a series expansion method that is not directly dependent on small or large physical parameters.
