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2022 – Feature Column

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format-standard has-post-thumbnail category-4 category-algebra-and-number-theory category-anil-venkatesh category-real-and-complex-analysis tag-hyperoperations tag-lie-groups archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/12/01/hyperoperations-distributivity-and-the-unreasonable-effectiveness-of-multiplication/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" fetchpriority="high" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/12/01/hyperoperations-distributivity-and-the-unreasonable-effectiveness-of-multiplication/" rel="bookmark" itemprop="url">Hyperoperations, Distributivity, and the Unreasonable Effectiveness of Multiplication</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-12-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-12-01T00:01:39-05:00" itemprop="datePublished" title="Thursday, December 1, 2022, 12:01 am">December 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/anil-venkatesh/" rel="category tag">Anil Venkatesh</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/real-and-complex-analysis/" rel="category tag">Real and Complex Analysis</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/hyperoperations/" rel="tag">hyperoperations</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/lie-groups/" rel="tag">Lie groups</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/12/01/hyperoperations-distributivity-and-the-unreasonable-effectiveness-of-multiplication/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>In 1915, the paper “Note on an Operation of the Third Grade” by Albert A. Bennett appeared in the Annals of Mathematics. A terse two-page note, it was largely neglected until the early 2000s&#8230; Hyperoperations, Distributivity, and the Unreasonable Effectiveness of Multiplication Anil Venkatesh Adelphi University Iterated Operations Everyone knows<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/12/01/hyperoperations-distributivity-and-the-unreasonable-effectiveness-of-multiplication/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1393" class="entry author-daustin post-1393 post type-post status-publish format-standard category-4 category-david-austin category-discrete-math-and-combinatorics category-probability-and-statistics category-uncategorized tag-cryptography tag-gerrymandering tag-markov-chains tag-persi-diaconis archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/" rel="bookmark" itemprop="url">Decoding, Gerrymanders, and Markov Chains</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-11-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/daustin/" title="Posts by David Austin" rel="author" class="url fn n" itemprop="url"><span itemprop="name">David Austin</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-11-01T00:01:12-04:00" itemprop="datePublished" title="Tuesday, November 1, 2022, 12:01 am">November 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/david-austin/" rel="category tag">David Austin</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/uncategorized/" rel="category tag">Uncategorized</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/cryptography/" rel="tag">cryptography</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/gerrymandering/" rel="tag">gerrymandering</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/markov-chains/" rel="tag">Markov chains</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/persi-diaconis/" rel="tag">persi diaconis</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Decoding, Gerrymanders, and Markov Chains David Austin Grand Valley State University In 2009, crypto miner James Howells of southern Wales mistakenly threw away a hard drive containing 8,000 bitcoins. That&#8217;s over $100 million even in today&#8217;s sinking crypto landscape. Thirteen years later, Howells has a plan, backed by venture capital,<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/11/01/decoding-gerrymanders-and-markov-chains/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1346" class="entry author-uwhitcher post-1346 post type-post status-publish format-standard has-post-thumbnail category-4 category-math-and-technology category-noah-giansiracusa category-probability-and-statistics tag-data-science tag-graph-theory tag-machine-learning tag-social-media archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/10/01/predicting-friendships-and-other-fun-machine-learning-tasks-with-graphs/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/10/01/predicting-friendships-and-other-fun-machine-learning-tasks-with-graphs/" rel="bookmark" itemprop="url">Predicting friendships and other fun machine learning tasks with graphs</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-10-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-10-01T00:01:30-04:00" itemprop="datePublished" title="Saturday, October 1, 2022, 12:01 am">October 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-technology/" rel="category tag">Math and Technology</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/noah-giansiracusa/" rel="category tag">Noah Giansiracusa</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/data-science/" rel="tag">data science</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/graph-theory/" rel="tag">graph theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/machine-learning/" rel="tag">Machine learning</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/social-media/" rel="tag">social media</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/10/01/predicting-friendships-and-other-fun-machine-learning-tasks-with-graphs/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Social media platforms connect users into massive graphs, with accounts as vertices and friendships as edges... Predicting friendships and other fun machine learning tasks with graphs Noah Giansiracusa Bentley University Artificial intelligence (AI) breakthroughs make the news headlines with increasing frequency these days. At least for the time being, AI<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/10/01/predicting-friendships-and-other-fun-machine-learning-tasks-with-graphs/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1291" class="entry author-uwhitcher post-1291 post type-post status-publish format-standard has-post-thumbnail category-4 category-algebra-and-number-theory category-discrete-math-and-combinatorics category-ursula-whitcher tag-fields-medal tag-lattices-groups tag-maryna-viazovska tag-sphere-packing archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/" rel="bookmark" itemprop="url">Eight-dimensional spheres and the exceptional $E_8$</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-09-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-09-01T00:01:01-04:00" itemprop="datePublished" title="Thursday, September 1, 2022, 12:01 am">September 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/ursula-whitcher/" rel="category tag">Ursula Whitcher</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/fields-medal/" rel="tag">Fields medal</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/lattices-groups/" rel="tag">lattices (groups)</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/maryna-viazovska/" rel="tag">Maryna Viazovska</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/sphere-packing/" rel="tag">sphere packing</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>What is the $E_8$ lattice that appears in Viazovska's proof? What makes it special? How do you use it to pack spheres? Eight-dimensional spheres and the exceptional $E_8$ Ursula Whitcher Mathematical Reviews (AMS) In Helsinki this summer, Ukrainian mathematician Maryna Viazovska was awarded a Fields Medal "for the proof that<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/09/01/eight-dimensional-spheres-and-the-exceptional-e_8/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1233" class="entry author-cgibbons post-1233 post type-post status-publish format-standard has-post-thumbnail category-4 category-algebra-and-number-theory category-courtney-gibbons tag-algebraic-geometry tag-games tag-groebner-bases tag-ring-theory tag-sudoku archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/08/01/applied-algebra-a-variety-show/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/08/01/applied-algebra-a-variety-show/" rel="bookmark" itemprop="url">Applied Algebra: A Variety Show</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-08-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/cgibbons/" title="Posts by Courtney Gibbons" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Courtney Gibbons</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-08-01T00:01:36-04:00" itemprop="datePublished" title="Monday, August 1, 2022, 12:01 am">August 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/algebra-and-number-theory/" rel="category tag">Algebra and Number Theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/courtney-gibbons/" rel="category tag">Courtney Gibbons</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/algebraic-geometry/" rel="tag">algebraic geometry</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/games/" rel="tag">games</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/groebner-bases/" rel="tag">groebner bases</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/ring-theory/" rel="tag">ring theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/sudoku/" rel="tag">sudoku</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/08/01/applied-algebra-a-variety-show/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>I’m pretty sure the etiquette of puzzle creation insists that a “good” puzzle has a unique solution—but bear with me! I promise I’m breaking the rules of etiquette for a good reason! Applied Algebra A Variety Show Courtney Gibbons Hamilton College My interest in applied algebra was a long time<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/08/01/applied-algebra-a-variety-show/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1141" class="entry author-uwhitcher post-1141 post type-post status-publish format-standard has-post-thumbnail category-4 category-probability-and-statistics category-sara-stoudt tag-intersectionality tag-kimberle-crenshaw tag-law tag-simpsons-paradox archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/07/01/statistical-concepts-and-intersectionality/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/07/01/statistical-concepts-and-intersectionality/" rel="bookmark" itemprop="url">Statistical Concepts and Intersectionality</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-07-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-07-01T00:01:29-04:00" itemprop="datePublished" title="Friday, July 1, 2022, 12:01 am">July 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/sara-stoudt/" rel="category tag">Sara Stoudt</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/intersectionality/" rel="tag">intersectionality</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/kimberle-crenshaw/" rel="tag">Kimberlé Crenshaw</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/law/" rel="tag">law</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/simpsons-paradox/" rel="tag">simpson's paradox</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/07/01/statistical-concepts-and-intersectionality/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>We can formulate this situation into an example of Simpson’s Paradox. When employee outcomes were examined overall, there was no evidence of discrimination between men and women. However, if employee outcomes were to be further broken down by race, there would have been a very clear discrepancy between the Black<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/07/01/statistical-concepts-and-intersectionality/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-1094" class="entry author-uwhitcher post-1094 post type-post status-publish format-standard has-post-thumbnail category-4 category-bill-casselman category-math-and-technology category-probability-and-statistics tag-games tag-information-theory tag-language tag-probability tag-wordle archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/06/01/wordle/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/06/01/wordle/" rel="bookmark" itemprop="url">Wordle is a game of chance</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-06-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-06-01T00:01:39-04:00" itemprop="datePublished" title="Wednesday, June 1, 2022, 12:01 am">June 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/bill-casselman/" rel="category tag">Bill Casselman</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-technology/" rel="category tag">Math and Technology</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/games/" rel="tag">games</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/information-theory/" rel="tag">information theory</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/language/" rel="tag">language</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/probability/" rel="tag">probability</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/wordle/" rel="tag">wordle</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/06/01/wordle/#comments" class="comments-link" itemprop="discussionURL">1 Comment</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Many of the proposed strategies use the notions introduced by Claude Shannon to solve problems of communication&#8230; Wordle is a game of chance William Casselman University of British Columbia The game Wordle, which is found currently on the New York Times official Wordle site, can be played by anybody with<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/06/01/wordle/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-920" class="entry author-uwhitcher post-920 post type-post status-publish format-standard has-post-thumbnail category-4 category-discrete-math-and-combinatorics category-math-and-the-sciences category-ursula-whitcher tag-adinkras tag-physics tag-supersymmetry archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/" rel="bookmark" itemprop="url">Designing supersymmetry</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-05-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-05-01T00:01:03-04:00" itemprop="datePublished" title="Sunday, May 1, 2022, 12:01 am">May 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/math-and-the-sciences/" rel="category tag">Math and the Sciences</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/ursula-whitcher/" rel="category tag">Ursula Whitcher</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/adinkras/" rel="tag">Adinkras</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/physics/" rel="tag">physics</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/supersymmetry/" rel="tag">supersymmetry</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>Studying supersymmetry in physically realistic situations requires a tremendous amount of physical and mathematical sophistication. We&#8217;re going to simplify as much as possible: all the way down to zero spatial dimensions! Designing supersymmetry Ursula Whitcher Mathematical Reviews (AMS) Mathematicians and physicists both love symmetry, but depending on who you&#8217;re talking<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/05/01/designing-supersymmetry/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-897" class="entry author-uwhitcher post-897 post type-post status-publish format-standard has-post-thumbnail category-4 category-discrete-math-and-combinatorics category-joseph-malkevitch tag-euclidean-geometry tag-polytopes-and-polyhedra archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/" rel="bookmark" itemprop="url">Geometric Decompositions</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-04-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-04-01T00:01:02-04:00" itemprop="datePublished" title="Friday, April 1, 2022, 12:01 am">April 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/discrete-math-and-combinatorics/" rel="category tag">Discrete Math and Combinatorics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/joseph-malkevitch/" rel="category tag">Joseph Malkevitch</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/euclidean-geometry/" rel="tag">Euclidean geometry</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/polytopes-and-polyhedra/" rel="tag">polytopes and polyhedra</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>A remarkable theorem involving decompositions is that if one has two plane simple polygons of the same area, it is possible to decompose either of the polygons into polygonal pieces that can be reassembled to form the other polygon&#8230; Geometric Decompositions Joe Malkevitch York College (CUNY) Introduction When looking at<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/04/01/geometric-decompositions/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --> <article id="post-748" class="entry author-uwhitcher post-748 post type-post status-publish format-standard has-post-thumbnail category-4 category-probability-and-statistics category-sara-stoudt tag-linear-regression tag-ordinary-least-squares archive-block archive-block2 hcolumn-1-2" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost"> <div class="entry-grid hgrid"> <div itemprop="image" itemscope itemtype="https://schema.org/ImageObject" class="entry-featured-img-wrap"><meta itemprop="url" content="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1"><meta itemprop="width" content="690"><meta itemprop="height" content="279"><a href="https://mathvoices.ams.org/featurecolumn/2022/03/01/ordinary-least-squares/" class="entry-featured-img-link"><img width="690" height="279" src="https://i0.wp.com/mathvoices.ams.org/featurecolumn/wp-content/uploads/sites/2/2022/03/cropped-cropped-mathvoices-banner-feat-col-1.png?resize=690%2C279&amp;ssl=1" class="attachment-hoot-large-thumb entry-content-featured-img entry-grid-featured-img wp-post-image" alt="Banner for the AMS Feature Column" itemscope="" decoding="async" loading="lazy" itemprop="image" /></a></div> <div class="entry-grid-content"> <header class="entry-header"> <h2 class="entry-title" itemprop="headline"><a href="https://mathvoices.ams.org/featurecolumn/2022/03/01/ordinary-least-squares/" rel="bookmark" itemprop="url">The Origins of Ordinary Least Squares Assumptions</a></h2> </header><!-- .entry-header --> <div class="screen-reader-text" itemprop="datePublished" itemtype="https://schema.org/Date">2022-03-01</div> <div class="entry-byline"> <div class="entry-byline-block entry-byline-author"> <span class="entry-byline-label">By:</span> <span class="entry-author" itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person"><a href="https://mathvoices.ams.org/featurecolumn/author/uwhitcher/" title="Posts by Ursula Whitcher" rel="author" class="url fn n" itemprop="url"><span itemprop="name">Ursula Whitcher</span></a></span> </div> <div class="entry-byline-block entry-byline-date"> <span class="entry-byline-label">On:</span> <time class="entry-published updated" datetime="2022-03-01T00:01:50-05:00" itemprop="datePublished" title="Tuesday, March 1, 2022, 12:01 am">March 1, 2022</time> </div> <div class="entry-byline-block entry-byline-cats"> <span class="entry-byline-label">In:</span> <a href="https://mathvoices.ams.org/featurecolumn/category/2022/" rel="category tag">2022</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/probability-and-statistics/" rel="category tag">Probability and Statistics</a>, <a href="https://mathvoices.ams.org/featurecolumn/category/columnists/sara-stoudt/" rel="category tag">Sara Stoudt</a> </div> <div class="entry-byline-block entry-byline-tags"> <span class="entry-byline-label">Tagged:</span> <a href="https://mathvoices.ams.org/featurecolumn/tag/linear-regression/" rel="tag">linear regression</a>, <a href="https://mathvoices.ams.org/featurecolumn/tag/ordinary-least-squares/" rel="tag">ordinary least squares</a> </div> <div class="entry-byline-block entry-byline-comments"> <span class="entry-byline-label">With:</span> <a href="https://mathvoices.ams.org/featurecolumn/2022/03/01/ordinary-least-squares/#respond" class="comments-link" itemprop="discussionURL">0 Comments</a> </div><span class="entry-publisher" itemprop="publisher" itemscope="itemscope" itemtype="https://schema.org/Organization"><meta itemprop="name" content="Feature Column"><span itemprop="logo" itemscope itemtype="https://schema.org/ImageObject"><meta itemprop="url" content=""><meta itemprop="width" content=""><meta itemprop="height" content=""></span></span></div><!-- .entry-byline --> <div class="entry-summary" itemprop="description"><p>When we start to think more about it, more questions arise. What makes a line “good”? How do we tell if a line is the “best”? The Origins of Ordinary Least Squares Assumptions Some Are More Breakable Than Others Sara Stoudt Bucknell University Introduction Fitting a line to a set<span class="more-link"><a href="https://mathvoices.ams.org/featurecolumn/2022/03/01/ordinary-least-squares/">Read More &rarr;</a></span></p> </div> </div><!-- .entry-grid-content --> </div><!-- .entry-grid --> </article><!-- .entry --></div><div class="clearfix"></div> <nav class="navigation pagination" aria-label="Posts pagination"> <h2 class="screen-reader-text">Posts pagination</h2> <div class="nav-links"><span aria-current="page" class="page-numbers current">1</span> <a class="page-numbers" href="https://mathvoices.ams.org/featurecolumn/category/2022/page/2/">2</a> <a class="next page-numbers" href="https://mathvoices.ams.org/featurecolumn/category/2022/page/2/">Next</a></div> </nav> </div><!-- #content-wrap --> </main><!-- #content --> <aside id="sidebar-primary" class="sidebar sidebar-primary hgrid-span-4 layout-wide-right " 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