(************** Content-type: application/mathematica ************** 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[ 1318632, 88327]*) (*NotebookOutlinePosition[ 1319268, 88349]*) (* CellTagsIndexPosition[ 1319224, 88345]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["The definition of the logarithm", "Subtitle"], Cell["\<\ Ivan Cnop icnop@vub.ac.be\ \>", "Subsubtitle"], Cell[CellGroupData[{ Cell["Classical defintion of the natural logarithm", "Section"], Cell[CellGroupData[{ Cell["Definition", "Subsection"], Cell[BoxData[ \(myln[x_] := \[Integral]\_1\%x\( 1\/t\) \[DifferentialD]t\)], "Input"], Cell["We were careful enough not to use any built-in names", 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