| 21. | The left-hand side is the Maclaurin series expansion of the right-hand side.
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| 22. | :: There must be more fancy power series expansions for the logarithm which converge faster.
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| 23. | This equation is equivalent to the first two terms in the multivariable Taylor series expansion of at.
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| 24. | Since floor and ceiling are not periodic, they do not have uniformly convergent Fourier series expansions.
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| 25. | For higher order poles, the calculations can become unmanageable, and series expansion is usually easier.
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| 26. | An alternative method is to use techniques from calculus to obtain a series expansion of the solution.
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| 27. | Applying the odd greedy algorithm to a fraction with an even denominator produces an infinite series expansion.
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| 28. | Where the power series expansion for about follows because has a simple pole of residue one there.
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| 29. | However the solution equal to its Newton series expansion is unique up to an additive constant C.
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| 30. | FAST first represents conditional variances via coefficients from the multiple Fourier series expansion of the output function.
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