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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">

<HTML>
<HEAD>
<TITLE>I-J Square Root of Negative One
</TITLE>
</HEAD>
<BODY>
<H2>I-J Square Root of Negative One
</H2>
<P>
Section: <A HREF=sec_constants.html> Base Constants </A>
<H3>Usage</H3>
Returns a <code>complex</code> value that represents the square root of -1.  There are two
functions that return the same value:
<PRE>
   y = i
</PRE>
<P>
and 
<PRE>
   y = j.
</PRE>
<P>
This allows either <code>i</code> or <code>j</code> to be used as loop indices.  The returned value is a 32-bit complex value.
<H3>Example</H3>
The following examples demonstrate a few calculations with <code>i</code>.
<PRE>
--&gt; i

ans = 
   0.0000 +  1.0000i 

--&gt; i^2

ans = 
  -1.0000 +  0.0000i 
</PRE>
<P>
The same calculations with <code>j</code>:
<PRE>
--&gt; j

ans = 
   0.0000 +  1.0000i 

--&gt; j^2

ans = 
  -1.0000 +  0.0000i 
</PRE>
<P>
Here is an example of how <code>i</code> can be used as a loop index and then recovered as the square root of -1.
<PRE>
--&gt; accum = 0; for i=1:100; accum = accum + i; end; accum

ans = 
 5050 

--&gt; i

ans = 
 100 

--&gt; clear i
--&gt; i

ans = 
   0.0000 +  1.0000i 
</PRE>
<P>
</BODY>
</HTML>