<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META http-equiv=Content-Type content="text/html; charset=utf-8"> <META content="MSHTML 6.00.6000.16939" name=GENERATOR> <STYLE></STYLE> </HEAD> <BODY> <DIV><FONT face="Courier New" size=2>Let q be a positive rational (or real) number.</FONT></DIV> <DIV><FONT face="Courier New" size=2>I am looking for the greatest integer number m such that:</FONT></DIV> <DIV><FONT face="Courier New" size=2>(<= (expt 10 m) q)</FONT></DIV> <DIV><FONT face="Courier New" size=2>Jos</FONT></DIV> <DIV><FONT face="Courier New" size=2></FONT> </DIV> <DIV><FONT face="Courier New" size=2>----- Original Message ----- </FONT></DIV> <DIV> <DIV><FONT face="Courier New" size=2>From: "Jens Axel Søgaard" <</FONT><A href="mailto:jensaxel@soegaard.net"><FONT face="Courier New" size=2>jensaxel@soegaard.net</FONT></A><FONT face="Courier New" size=2>></FONT></DIV> <DIV><FONT face="Courier New" size=2>To: "Jos Koot" <</FONT><A href="mailto:jos.koot@telefonica.net"><FONT face="Courier New" size=2>jos.koot@telefonica.net</FONT></A><FONT face="Courier New" size=2>></FONT></DIV> <DIV><FONT face="Courier New" size=2>Cc: <</FONT><A href="mailto:plt-scheme@list.cs.brown.edu"><FONT face="Courier New" size=2>plt-scheme@list.cs.brown.edu</FONT></A><FONT face="Courier New" size=2>></FONT></DIV> <DIV><FONT face="Courier New" size=2>Sent: Thursday, November 05, 2009 1:29 PM</FONT></DIV> <DIV><FONT face="Courier New" size=2>Subject: Re: [plt-scheme] order of magnitude</FONT></DIV></DIV> <DIV><FONT face="Courier New"><BR><FONT size=2></FONT></FONT></DIV><FONT face="Courier New" size=2>> 2009/11/5 Jos Koot <</FONT><A href="mailto:jos.koot@telefonica.net"><FONT face="Courier New" size=2>jos.koot@telefonica.net</FONT></A><FONT face="Courier New" size=2>>:<BR>>> Your example assumes that (/ (log n) (log 10)) always is too small, which<BR>>> cannot be trusted to be always true, I think.<BR>> <BR>> How is order(n) defined mathematically?<BR>> <BR>> -- <BR>> Jens Axel<BR>></FONT></BODY></HTML>