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# Differences

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courses:lecture:sylec:seriesplus 2018/03/30 09:29 | courses:lecture:sylec:seriesplus 2019/06/03 13:54 current | ||
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* In physics we use the term power series to refer to both Taylor and MacLaurin and Laurent series. | * In physics we use the term power series to refer to both Taylor and MacLaurin and Laurent series. | ||

* Power series are a valuable way to //approximate// a function at a point, and are a strong tool for physics sense-making. | * Power series are a valuable way to //approximate// a function at a point, and are a strong tool for physics sense-making. | ||

+ | * While a function might not be integrable, the power series of the function can be integrated term by term. | ||

* The terms and coefficients are labeled as 0th, 1st, 2nd, ... //order//, referring to the exponent. | * The terms and coefficients are labeled as 0th, 1st, 2nd, ... //order//, referring to the exponent. | ||

* Expanding to $n$th order means that all terms up to $z^n$ should be calculated. | * Expanding to $n$th order means that all terms up to $z^n$ should be calculated. |