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extrema / usr / share / extrema / Help / Characteristics / ylogbase.htm
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<TITLE>YLOGBASE</TITLE>
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<P><A NAME="ylogbase"></A>
<font size="+3" color="green"><B>YLOGBASE</B></font></P>

<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="20%" valign="top"><B>Syntax</B>:</TD>
<TD width="80%" valign="top"><CODE>
SET YLOGBASE n<br />
GET YLOGBASE { n }</CODE>
</TD></TR>
<TR>
<TD width="20%" valign="top"><B>Default</B>:</TD>
<TD width="80%" valign="top"><CODE>
YLOGBASE = 0</CODE>
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<P>
 <CODE>YLOGBASE</CODE> determines whether the <i>y</i>-axis is  to be linear or logarithmic.<br />
 <CODE>YLOGBASE</CODE> should always be <CODE>&gt; 0</CODE>.</P>
<P>
 <table border="1">
 <tr>
 <td align="center"><CODE>YLOGBASE</CODE></TD>
 <td align="center"><em>meaning</em></td></TR>
 <TR>
 <td valign="center"><CODE>&gt; 1.0</CODE></td>
 <td valign="top">the <i>y</i>-axis will have a logarithmic scale.
  The base will be the integer part of <CODE>YLOGBASE</CODE>, except for the special case:
  <CODE>1.05*<i>e</i> &gt; YLOGBASE &gt; 0.95*<i>e</i></CODE>, where <CODE><i>e</i></CODE> is the
  base of the natural logarithms, <CODE><i>e</i> &asymp; 2.718281828</CODE>, in which case the base
  will be <code><i>e</i></code>.</td>
 </tr><tr>
 <td valign="center"><CODE>&le; 1.0</CODE></td>
 <td valign="top">the <i>y</i>-axis will have a linear scale</td>
 </tr></table></P>
<P>
 If <CODE>YLOGBASE &gt; 1.0</CODE>, then <CODE><a href="ymin.htm">YMIN</a></CODE> and
 <CODE><a href="ymax.htm">YMAX</a></CODE> are assumed to be the exponents for the minimum and
 maximum values on the <i>y</i>-axis. The maximum value displayed on the <i>y</i>-axis is
 <CODE>YLOGBASE<sup>YMAX</sup></CODE> and the minimum value displayed on the <i>y</i>-axis is
 <CODE>YLOGBASE<sup>YMIN</sup></CODE>. Integer exponents are always used for the axis numbering, so
 the <i>y</i>-axis may not begin and/or end on a large tic mark.</P>
<P>
 If <CODE>YLOGBASE = 10.0</CODE>, the small tic marks on the  <i>y</i>-axis can be specified exactly with
 <CODE><a href="ynsincs.htm">YNSINCS</a></CODE>. If small tic marks are desired at the locations
 <CODE>j*10<sup>n</sup></CODE>, where <CODE>2 &le; j &le; 9</CODE>, then set
 <CODE>YNSINCS = -j</CODE>. For example, if you want small tic marks at  <CODE>2*10<sup>n</sup></CODE>,
 <CODE>4*10<sup>n</sup></CODE>, <CODE>5*10<SUP>n</SUP></CODE>, and
 <CODE>8*10<SUP>n</SUP></CODE>, then set <CODE><font color="blue">
 <a href="../Commands/Set.htm">SET YNSINCS -2458</a></font></CODE>.</P>
<P>
 If <CODE>YLOGBASE &le; 1.0</CODE>, <CODE>YMIN</CODE> and <CODE>YMAX</CODE> are the actual minimum and
 maximum values for the <i>y</i>-axis; and the <i>y</i>-axis always begins and
 ends on large tic marks.</P>
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