http://programmer.ie/tags/euclidean-distance/ Recent content in Euclidean Distance on Programmer.ie: Modern AI programming Hugo en-us Mon, 07 Sep 2026 09:30:00 +0000 http://programmer.ie/books/embeddings-from-first-principles/04-chapter/ Mon, 07 Sep 2026 09:30:00 +0000 http://programmer.ie/books/embeddings-from-first-principles/04-chapter/ <p><em>Part I — A Vector Is Not Meaning</em></p> <h2 id="two-vectors-four-answers">Two vectors, four answers</h2> <p>Here are two document vectors (3D, for legibility):</p> <div class="highlight"><pre tabindex="0" style="color:#f8f8f2;background-color:#272822;-moz-tab-size:4;-o-tab-size:4;tab-size:4;"><code class="language-text" data-lang="text"><span style="display:flex;"><span>x = ( 2.0, 0.0, 0.0 ) a short doc, one strong topic </span></span><span style="display:flex;"><span>y = ( 6.0, 0.1, 0.0 ) a long doc, same topic, more of it </span></span><span style="display:flex;"><span>z = ( 0.0, 2.0, 0.0 ) a short doc, different topic </span></span></code></pre></div><p>Ask &ldquo;is <code>x</code> more similar to <code>y</code> or to <code>z</code>?&rdquo; and the metric answers for you:</p>