Indicator vector

<h2 id="example">Example</h2>
<p>If <i>S</i> is the set of <a href="/facts/Natural_number/u65og8JE">natural numbers</a> 
  
    
      
        
          N
        
      
    
    {\displaystyle \mathbb {N} }
  
, and <i>T</i> is some subset of the natural numbers, then the indicator vector is naturally a single point in the <a href="/facts/Cantor_space/h1sNqjBT">Cantor space</a>: that is, an infinite sequence of 1's and 0's, indicating membership, or lack thereof, in <i>T</i>.  Such vectors commonly occur in the study of <a href="/facts/Arithmetical_hierarchy/rQptcBFK">arithmetical hierarchy</a>.
</p>
<h2 id="notes">Notes</h2>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Mirkin, Boris Grigorʹevich (1996). Mathematical Classification and Clustering. Springer. p. 112. ISBN 0-7923-4159-7. Retrieved 10 February 2014. <a href="0-7923-4159-7" target="_blank">0-7923-4159-7</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>von Luxburg, Ulrike (2007). "A Tutorial on Spectral Clustering" (PDF). Statistics and Computing. 17 (4): 2. Archived from the original (PDF) on 6 February 2011. Retrieved 10 February 2014. <a href="/wiki/Ulrike_von_Luxburg" target="_blank">/wiki/Ulrike_von_Luxburg</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Taghavi, Mohammad H. (2008). Decoding Linear Codes Via Optimization and Graph-based Techniques. p. 21. ISBN 9780549809043. Retrieved 10 February 2014. <a href="9780549809043" target="_blank">9780549809043</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
</ol>

Indicator vector open-in-new

Indicator vector