Since none of the functions discussed in this article are continuous, none of them have a power series expansion.
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Polynomial expansions such as the Taylor series expansion are often convenient for theoretical work but less useful for practical applications.
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His master s thesis was titled Series Expansion of Joint Rotations for the Analysis of Rigidly Framed Structures .
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:The reason is that you can express many of them as the sums of a rapidly convergent series expansions.
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The series expansion for is thus similar to that for, but without the alternating ( " 1 ) factor.
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Which he explained, for instance in a later 1748 work, by setting 1 } } in the Taylor series expansion
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The slightly simplified Taylor series expansion is then as follows, where " : " is the colon product between dyads:
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These relate to the series expansion above .-- talk ) 18 : 25, 15 May 2016 ( UTC)
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The Kerala school of astronomy and mathematics further expanded his works with various series expansions and rational approximations until the 16th century.
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For high precision calculations ( hundreds of digits ), a recursive series expansion about the midpoints of the intervals is superior.
