traint</p>
<div class="highlight-none"><div class="highlight"><pre>sum_log(x) &gt;= 10
</pre></div>
</div>
<p>can be expressed in terms of the <cite>geo_mean</cite> function as</p>
<div class="highlight-none"><div class="highlight"><pre>geo_mean(x) &gt;= log(10)^(1/length(x))
</pre></div>
</div>
<p>Many determinant maximization problems are commonly written using <cite>log_det</cite>, but in
fact that is often unnecessary. For instance, consider the objective</p>
<div class="highlight-none"><div class="high