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