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<head><title>InexactFieldFamily -- the class of all families of inexact fields</title>
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<div><h1>InexactFieldFamily -- the class of all families of inexact fields</h1>
<div class="single"><h2>Description</h2>
<div><p>All real numbers have the same class, <a href="___R__R.html" title="the class of all real numbers">RR</a>, but the rings they belong to depends on the number of binary digits of precision used to represent them. Similarly for complex numbers, which all belong to the class <a href="___C__C.html" title="the class of all complex numbers">CC</a>. Thus <a href="___R__R.html" title="the class of all real numbers">RR</a> and <a href="___C__C.html" title="the class of all complex numbers">CC</a> are regarded not as inexact fields, but as families of inexact fields.</p>
<table class="examples"><tr><td><pre>i1 : x = 1/3.
o1 = .333333333333333
o1 : RR (of precision 53)</pre>
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<tr><td><pre>i2 : class x
o2 = RR
o2 : InexactFieldFamily</pre>
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<tr><td><pre>i3 : ring x
o3 = RR
53
o3 : RealField</pre>
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<tr><td><pre>i4 : x = 1/3.p200
o4 = .333333333333333333333333333333333333333333333333333333333333
o4 : RR (of precision 200)</pre>
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<tr><td><pre>i5 : class x
o5 = RR
o5 : InexactFieldFamily</pre>
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<tr><td><pre>i6 : ring x
o6 = RR
200
o6 : RealField</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="___Inexact__Field.html" title="the class of inexact fields">InexactField</a> -- the class of inexact fields</span></li>
</ul>
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<div class="waystouse"><h2>Methods that use an inexact field family :</h2>
<ul><li><span>InexactFieldFamily ^ ZZ, see <span><a href="_^.html" title="a binary operator, usually used for powers">^</a> -- a binary operator, usually used for powers</span></span></li>
<li><span>default(InexactFieldFamily), see <span><a href="_default.html" title="default member of a family">default</a> -- default member of a family</span></span></li>
<li><span>InexactFieldFamily Array, see <span><a href="___Ring_sp__Array.html" title="the standard way to make a polynomial ring">Ring Array</a> -- the standard way to make a polynomial ring</span></span></li>
</ul>
<h2>Fixed objects of class InexactFieldFamily :</h2>
<ul><li><span><a href="___C__C.html" title="the class of all complex numbers">CC</a> -- the class of all complex numbers</span></li>
<li><span><a href="___R__R.html" title="the class of all real numbers">RR</a> -- the class of all real numbers</span></li>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Inexact__Field__Family.html" title="the class of all families of inexact fields">InexactFieldFamily</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Ring__Family.html" title="">RingFamily</a> < <a href="___Type.html" title="the class of all types">Type</a> < <a href="___Mutable__Hash__Table.html" title="the class of all mutable hash tables">MutableHashTable</a> < <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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