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nLab > Latest Changes: asymptotic expansion

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 13th 2017
    • (edited Jan 14th 2018)

    At asymptotic series I have made explicit the proof that the Taylor series of a smooth function is always asymptotic (here)

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeSep 14th 2017

    I added links to more relevant entries like divergent series, resummation, regular summation method, Puiseux series, Stokes phenomenon.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 14th 2018
    • (edited Jan 22nd 2018)

    I have added warning that by Borel’s theorem every formal power series is the asymptotic expansion of some smooth function, and of more than one smooth function. To reflect this state of affairs better I changed the entry name from “asymptotic series” to “asymptotic expansion”.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeJan 22nd 2018

    Link correction, Borel’s theorem.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 22nd 2018

    Thanks, fixed now.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2018

    added a minimum of pointers regarding “optimal truncation”

    diff, v14, current

  7. Updated broken link.

    Anonymous

    diff, v16, current

1 to 7 of 7

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