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>real</B
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><TD ALIGN="RIGHT" VALIGN="BASELINE" WIDTH="0" NOWRAP="NOWRAP" CLASS="ftype"
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>System</I
> <I
>Class</I
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>real</B
></A
>, <A HREF="t_number.html" CLASS="typeref"
><B
>number</B
></A
>, <A HREF="t_t.html" CLASS="typeref"
><B
>t</B
></A
></P
></DD
><DT
><B
>Description</B
></DT
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><P CLASS="j"
>The <A HREF="26_1_Glossary.html#type"
><EM CLASS="term"
>type</EM
></A
> <A HREF="t_real.html" CLASS="typeref"
><B
>real</B
></A
> includes all <A HREF="26_1_Glossary.html#number"
><EM CLASS="term"
>numbers</EM
></A
> that represent mathematical real numbers, though there are mathematical real numbers (<I CLASS="i"
><I
>e.g.</I
></I
>, irrational numbers) that do not have an exact representation in Common Lisp. Only <EM CLASS="term"
>reals</EM
> can be ordered using the <A HREF="f__eq.html" CLASS="funref"
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>&lt;</SPAN
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>, <A HREF="f__eq.html" CLASS="funref"
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>=</B
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>, and <A HREF="f__eq.html" CLASS="funref"
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>=</B
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> functions. </P
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>The <A HREF="26_1_Glossary.html#type"
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>rational</B
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>type</EM
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> <A HREF="t_real.html" CLASS="typeref"
><B
>real</B
></A
>.</P
></DD
><DT
><B
>Compound Type Specifier Kind</B
></DT
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><P CLASS="j"
>Abbreviating.</P
></DD
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>Compound Type Specifier Syntax</B
></DT
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><TD ALIGN="LEFT" VALIGN="BASELINE" STYLE=";"
><SPAN CLASS="cmtt"
>(real</SPAN
> <SPAN CLASS="cmtt"
>[</SPAN
><SPAN CLASS="cmssi"
>lower-limit</SPAN
> <SPAN CLASS="cmr"
>[</SPAN
><SPAN CLASS="cmssi"
>upper-limit</SPAN
><SPAN CLASS="cmr"
>]</SPAN
><SPAN CLASS="cmtt"
>])</SPAN
></TD
></TR
></TBODY
></TABLE
></DD
><DT
><B
>Compound Type Specifier Arguments</B
></DT
><DD
><P CLASS="j"
><VAR CLASS="param"
>lower-limit</VAR
>, <VAR CLASS="param"
>upper-limit</VAR
> &#8212; <A HREF="26_1_Glossary.html#interval_designator"
><EM CLASS="term"
>interval designators</EM
></A
> for <A HREF="26_1_Glossary.html#type"
><EM CLASS="term"
>type</EM
></A
> <A HREF="t_real.html" CLASS="typeref"
><B
>real</B
></A
>. The defaults for each of <VAR CLASS="param"
>lower-limit</VAR
> and <VAR CLASS="param"
>upper-limit</VAR
> is the <A HREF="26_1_Glossary.html#symbol"
><EM CLASS="term"
>symbol</EM
></A
> <SPAN CLASS="misc"
><B
>*</B
></SPAN
>.</P
></DD
><DT
><B
>Compound Type Specifier Description</B
></DT
><DD
><P CLASS="j"
>This denotes the <EM CLASS="term"
>reals</EM
> on the interval described by <VAR CLASS="param"
>lower-limit</VAR
> and <VAR CLASS="param"
>upper-limit</VAR
>.</P
></DD
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