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<BODY>
<!---------------------------------------------------------->
<!-- Created with wxMaxima version 0.8.5 -->
<!---------------------------------------------------------->
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i83)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(n,alpha,beta) := gamma(beta) / gamma( (2* beta - n)/2) * ( %pi^(n/2) * alpha^n )^-1;
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_0.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i84)
</SPAN></TD>
<TD><SPAN CLASS="input">
alpha : 3; beta : 2.4;
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_1.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i86)
</SPAN></TD>
<TD><SPAN CLASS="input">
numer : true;
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_2.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i87)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(1,alpha,beta );
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_3.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i96)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(2,alpha,beta);
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_4.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i89)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(3,alpha,beta);
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_5.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i90)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(4,alpha,beta);
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_6.png">
</P>
<!-- Code cell -->
<P><TABLE><TR><TD>
<SPAN CLASS="prompt">
(%i95)
</SPAN></TD>
<TD><SPAN CLASS="input">
A(5,alpha,beta);
</SPAN></TD>
</TR></TABLE>
<BR>
<IMG ALT="Result" SRC="normalize_img/normalize_7.png">
</P>
<HR>
<SMALL> Created with <A HREF="http://wxmaxima.sourceforge.net/">wxMaxima</A>.</SMALL>
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