https://abaj.ai/tags/eigenvalues/Recent content in Eigenvalues on Aayush Bajaj's Augmenting InfrastructureHugoen© 2026 Aayush BajajSat, 27 Jun 2026 17:45:53 +1000https://abaj.ai/wiki/bday-problems/24th/Wed, 24 Jun 2026 06:02:26 +1000https://abaj.ai/wiki/bday-problems/24th/<blockquote> <p>As is tradition, the prize pool has increased (to $300 this year).</p> <p>I have collapsed first and second place into a winner-takes-all arrangement (c&rsquo;est la vie).</p> <p>Furthermore, there are additional changes to the structure of this Game:</p> <ol> <li>you must now <strong>pass</strong> the problem set to be awarded the prize money;</li> <li>you may submit your solutions to the problem set at any point in the future;</li> <li>if you plagiarise work, I reserve the right to ban you from all subsequent competitions &mdash; <em><a href="https://en.wikipedia.org/wiki/Grim_trigger" class="link--external" target="_blank" rel="noreferrer" >grim trigger</a></em></li> <li>the problem and solution set will now be courteously supported by MathJaX, TikZ, and my own JavaScript <ul> <li>the problems can be found <a href="https://abaj.ai/wiki/bday-problems/24th/problems/" >here</a>, whilst the PDF can be found <a href="https://abaj.ai/doc/bday-problems/24th.pdf" >here</a> and <a href="https://abaj.ai/wiki/bday-problems/24th/" >here</a> (embedded).</li> <li>my solutions will be available from the start of 2026; by viewing them you <strong>forfeit the prize money</strong></li> </ul> </li> <li>Good luck!</li> </ol> </blockquote> <h2 id="pdf">PDF<a href="#pdf" class="post-heading__anchor" aria-hidden="true">#</a> </h2> <script type="text/javascript" src= '/js/pdf-js/build/pdf.js'></script> <style> #embed-pdf-container { position: relative; width: 100%; height: auto; min-height: 20vh; } .pdf-canvas { border: 1px solid black; direction: ltr; width: 100%; height: auto; display: none; } #the-canvas { border: 1px solid black; direction: ltr; width: 100%; height: auto; display: none; } .pdf-loadingWrapper { display: none; justify-content: center; align-items: center; width: 100%; height: 350px; } .pdf-loading { display: inline-block; width: 50px; height: 50px; border: 3px solid #d2d0d0;; border-radius: 50%; border-top-color: #383838; animation: spin 1s ease-in-out infinite; -webkit-animation: spin 1s ease-in-out infinite; } #overlayText { word-wrap: break-word; display: grid; justify-content: end; } #overlayText svg { height: clamp(1em, 2vw, 1.4em); 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&nbsp; <span> <span class="pdf-pagenum" id="pdf-pagenum-d7eea10b"></span> / <span class="pdf-pagecount" id="pdf-pagecount-d7eea10b"></span> </span> </div> <noscript> View the PDF file <a class="pdf-source" id="pdf-source-noscript-d7eea10b" href="https://abaj.ai/doc/bday-problems/24q.pdf">here</a>. </noscript> <script type="text/javascript"> (function(){ var url = '\/doc\/bday-problems\/24q.pdf'; var hidePaginator = "true" === "true"; var hideLoader = "" === "true"; var selectedPageNum = parseInt("") || 1; var pdfjsLib = window['pdfjs-dist/build/pdf']; if (!pdfjsLib) { return; } if (pdfjsLib.GlobalWorkerOptions.workerSrc == '') pdfjsLib.GlobalWorkerOptions.workerSrc = "https:\/\/abaj.ai\/" + 'js/pdf-js/build/pdf.worker.js'; var pdfDoc = null, pageNum = selectedPageNum, pageRendering = false, pageNumPending = null, scale = 3, canvas = document.getElementById('pdf-canvas-d7eea10b'), ctx = canvas.getContext('2d'), paginator = document.getElementById("pdf-paginator-d7eea10b"), loadingWrapper = document.getElementById('pdf-loadingWrapper-d7eea10b'); 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} pageNum--; queueRenderPage(pageNum); } document.getElementById('pdf-prev-d7eea10b').addEventListener('click', onPrevPage); function onNextPage() { if (pageNum >= pdfDoc.numPages) { return; } pageNum++; queueRenderPage(pageNum); } document.getElementById('pdf-next-d7eea10b').addEventListener('click', onNextPage); pdfjsLib.getDocument(url).promise.then(function(pdfDoc_) { pdfDoc = pdfDoc_; var numPages = pdfDoc.numPages; document.getElementById('pdf-pagecount-d7eea10b').textContent = numPages; if(pageNum > numPages) { pageNum = numPages } renderPage(pageNum); }); })(); </script> <h2 id="links">Links<a href="#links" class="post-heading__anchor" aria-hidden="true">#</a> </h2> <ul> <li><a href="https://abaj.ai/wiki/bday-problems/upload/" >Submission link</a></li> <li><a href="https://abaj.ai/wiki/bday-problems/#winners" >List of Past Winners</a></li> </ul> <h2 id="structure">Structure<a href="#structure" class="post-heading__anchor" aria-hidden="true">#</a> </h2> <p>Most notably, the structure from this year has changed. Instead of <em>just</em> offering a single PDF and then writing up solutions on this site, the problems themselves are accessible from below and once 2025 transpires, my solutions will be available as toggled nested environments.</p>