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<p>finite-dimensional vector spaces. However, many of the principles are also valid for infinite-dimensional vector spaces.</p>

<p>Basis vectors find applications in the study of <a href="page.php?w=crystal_structure">crystal structure</a>s and <a href="page.php?w=frame_of_reference">frames of reference</a>.</p>

<p><big> Definition </big></p>
<p>A <b>basis</b>  of a <a href="page.php?w=vector_space">vector space</a>  over a <a href="page.php?w=field_%28mathematics%29">field</a>  (such as the <a href="page.php?w=real_numbers">real numbers</a>  or the <a href="page.php?w=complex_number">complex number</a>s</p><p>
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