optimisation
https://plus.maths.org/content/category/tags/optimisation
enMaking mathematical tools
https://plus.maths.org/content/making-mathematical-tools
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/23_aug_2012_-_2006/icon.gif?1345748784" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>This week the International Symposium on Mathematical Programming (ISMP) took place in Berlin. It's the world congress of mathematical optimisation, which drew over 2,000 scientists and members of industry to Germany's capital. But what exactly were they talking about?</p>
</div>
</div>
</div>
<p><em>This week the <a href="http://ismp2012.mathopt.org/">International Symposium on Mathematical Programming</a> (ISMP) has been taking place in Berlin. It's the world congress of mathematical optimisation, which drew over 2,000 scientists and members of industry to Germany's capital. But what exactly were they talking about?<p><a href="https://plus.maths.org/content/making-mathematical-tools" target="_blank">read more</a></p>https://plus.maths.org/content/making-mathematical-tools#commentsoptimisationTravelling salesman problemFri, 24 Aug 2012 09:40:23 +0000mf3445772 at https://plus.maths.org/contentConvex is complex
https://plus.maths.org/content/convexity
<div class="field field-type-filefield field-field-abs-img">
<div class="field-items">
<div class="field-item odd">
<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/29_jul_2011_-_1632/icon_convex.jpg?1311953567" /> </div>
</div>
</div>
<div class="field field-type-text field-field-abs-txt">
<div class="field-items">
<div class="field-item odd">
<p>Convex or concave? It's a question we usually answer just by looking at something. It's convex if it bulges outwards, and concave if it bulges inwards. But when it comes to mathematical functions, things aren't that simple. A team of computer scientists from the Massachusetts Institute of Technology have recently shown that deciding whether a mathematical function is convex can be very hard indeed.</p>
</div>
</div>
</div>
<div class="rightimage" style="width: 450px"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/news/2011/convexity/convex.jpg" width="450" height="285" alt="graph of a convex funtion" /><p>A convex function. Image: <a href="http://en.wikipedia.org/wiki/File:ConvexFunction.svg">Eli Osherovich</a>.</p></div>
<p>Convex or concave? It's a question we usually answer just by
looking at something. It's convex if it bulges outwards and concave if it bulges inwards.</p><p><a href="https://plus.maths.org/content/convexity" target="_blank">read more</a></p>https://plus.maths.org/content/convexity#commentsmathematical realityconvexityoptimisationP versus NPWed, 03 Aug 2011 09:14:00 +0000mf3445529 at https://plus.maths.org/contentComplex multiplication
https://plus.maths.org/content/complex-multiplication
<div class="pub_date">May 1998</div>
<!-- plusimport -->
<p>Thanks to <em>A Moss</em> for bringing this puzzle to our attention.</p>
<p>This puzzle concerns complex numbers but don't worry. You don't need to know anything about complex numbers to solve it!</p>
<h3>Background</h3>
<p>A complex number is often written as the sum of a <em>real</em> and an <em>imaginary</em> part as follows:</p>
<p><!-- FILE: include/centrefig.html --></p><p><a href="https://plus.maths.org/content/complex-multiplication" target="_blank">read more</a></p>https://plus.maths.org/content/complex-multiplication#commentsoptimisationpuzzleThu, 30 Apr 1998 23:00:00 +0000plusadmin2948 at https://plus.maths.org/content