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