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<head><title>RingElement .. RingElement -- a sequence of consecutive generators of a polynomial ring</title>
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<div><h1>RingElement .. RingElement -- a sequence of consecutive generators of a polynomial ring</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>s .. t</tt></div>
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<li><span>Operator: <a href="_...html" title="a binary operator, used for sequences of consecutive items">..</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>s</tt>, <span>a <a href="___Ring__Element.html">ring element</a></span></span></li>
<li><span><tt>t</tt>, <span>a <a href="___Ring__Element.html">ring element</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span>the sequence of consecutive generators of a polynomial ring, from <tt>s</tt> to <tt>t</tt>, inclusive</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[a..z]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : b .. i
o2 = (b, c, d, e, f, g, h, i)
o2 : Sequence</pre>
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<tr><td><pre>i3 : plus oo
o3 = b + c + d + e + f + g + h + i
o3 : R</pre>
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<p>Warning: former behavior involved making the names of the generators consecutive, so the results in the next example differ from those given before.</p>
<table class="examples"><tr><td><pre>i4 : R = QQ[e,d,c,b,a,X_1,y,X_2]
o4 = R
o4 : PolynomialRing</pre>
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<tr><td><pre>i5 : e .. a
o5 = ()
o5 : Sequence</pre>
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<tr><td><pre>i6 : X_1 .. X_2
o6 = (X , X )
1 2
o6 : Sequence</pre>
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<p>Warning: since former behavior involved only the names of the generators, there was no requirement that <tt>s</tt> and <tt>t</tt> be in the same ring, whereas now there is.</p>
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