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<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
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<Task-table>
    <Task-category name="&lt;default&gt;">
    </Task-category>
</Task-table>
<Task>
</Task><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L22" drawlabel="true" redirect-target="L35">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">restart:
Digits:=10:
phi:=Int(</Text-field>
</Input>
<Input>
<Text-field prompt="&gt; " style="Maple Input" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L35" drawlabel="true" redirect-source="L22">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
</Input>
<Output>
<Text-field style="HyperlinkWarning" layout="HyperlinkWarning"><Hyperlink linktarget="http://www.maplesoft.com/support/help/errors/view.aspx?path=Warning,%20premature%20end%20of%20input,%20use%20%3CShift%3E%20+%20%3CEnter%3E%20to%20avoid%20this%20message." hyperlink="true"><Font style="HyperlinkWarning">Warning, premature end of input, use &lt;Shift&gt; + &lt;Enter&gt; to avoid this message.</Font></Hyperlink></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L24" drawlabel="true" redirect-target="L3">
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L32" drawlabel="true" redirect-target="L3">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">(exp((Pi^(2))/(8*sigma^(2))))/(sigma*sqrt(2*Pi))*</Text-field>
</Input>
</Group>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L26" drawlabel="true" redirect-target="L3">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Font encoding="UTF-8">exp(-u*exp(t))*exp(-(I*Pi*t)/(2*sigma^(2)))*exp(-(t^(2))/(2*sigma^(2))),t=-infinity..infinity);
iMax:=4:
jMax:=4:
valnum:=sigma=1,u=1:
ref:=fopen(&quot;ref_lognormal_cf.txt&quot;,WRITE,TEXT):
for i from 0 to iMax do
  for j from 0 to jMax do
    sigmai:=10^((2*i)/(iMax)-1):
    uj:=10^((4*j)/(jMax)-2):
    st:=time():
    v:=evalf(subs(sigma=sigmai,u=uj,phi));
    t:=time() -st;  print([evalf(sigmai),evalf(uj),Re(v),Im(v),t]);
 #`      fprintf`(ref,&quot;%.25e; %.25e; %.25e; %.25e; %.25e\134\134n&quot;, evalf(sigmai),evalf(uj),Re(v),Im(v),t);
  od;
od;
fclose(ref);</Font></Text-field>
</Input>
<Output>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Output" display="LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=">LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=</Equation></Text-field>
</Output>
</Group>
<Group view="presentation" hide-input="true" hide-output="false" inline-output="false" labelreference="L3" drawlabel="true" redirect-source="L26">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">%;</Text-field>
</Input>
<Output>
<Text-field style="HyperlinkError" layout="HyperlinkError"><Hyperlink linktarget="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20%60)%60%20unexpected" hyperlink="true"><Font style="HyperlinkError">Error, `)` unexpected</Font></Hyperlink></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2" drawlabel="true" redirect-target="L5">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group></Presentation-Block>
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