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<p>to define a unique <a href="page.php?w=line_%28geometry%29">line</a> in a nontrivial Euclidean space.</p>

<p>The integers modulo 2 form the <a href="page.php?w=finite_field">finite field</a> , the smallest finite field. It has two elements, usually denoted 0 and 1, and addition in  corresponds to parity. Thus reduction modulo 2 records the <a href="page.php?w=Parity_%28mathematics%29">parity</a> of an integer: even integers are congruent to 0 modulo 2, and odd integers are congruent to 1 modulo 2. In algebra, structures of <a href="page.php?w=characteristic_%28algebra%29">characteristic</a></p><p>
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