(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 4.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 80132, 1442]*) (*NotebookOutlinePosition[ 81072, 1474]*) (* CellTagsIndexPosition[ 81001, 1468]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ Cell[BoxData[ \(TraditionalForm\`\[Sum]\+\(k = 1\)\%\[Infinity] 1\/k\^2\)]], "=", Cell[BoxData[ \(TraditionalForm\`\[Pi]\^2\/6\)]] }], "Title"], Cell[BoxData[ \(\(kmax = 100;\)\)], "Input"], Cell[BoxData[ \(ta = 0; qlist = {{1, 0}};\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Do[rr = Sqrt[NSum[1/n\^2, {n, 1, k + 1}]]; ta = ta + ArcSin[\(1/\((k + 1)\)\)/rr]; \[IndentingNewLine]qlist = 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