<?xml version="1.0" encoding="UTF-8"?><oembed><type>video</type><version>1.0</version><html>&lt;iframe src=&quot;https://www.loom.com/embed/c9858cda804541bd8b4a9757bd212a09&quot; frameborder=&quot;0&quot; width=&quot;1920&quot; height=&quot;1440&quot; webkitallowfullscreen mozallowfullscreen allowfullscreen&gt;&lt;/iframe&gt;</html><height>1440</height><width>1920</width><provider_name>Loom</provider_name><provider_url>https://www.loom.com</provider_url><thumbnail_height>1440</thumbnail_height><thumbnail_width>1920</thumbnail_width><thumbnail_url>https://cdn.loom.com/sessions/thumbnails/c9858cda804541bd8b4a9757bd212a09-f49726abf1fa1300.gif</thumbnail_url><duration>2046.04</duration><title>Fundamentals of optimization (part not covered in class, ECON2125/6012, March 3)</title><description>In this video, I explain the concepts of supremum and infimum, focusing on their definitions and importance in mathematical analysis. I discuss how these concepts apply to both closed and open sets, and I provide examples to illustrate their significance. I also touch on the relationship between these concepts and functions, emphasizing the conditions under which maxima and minima exist. Please take a moment to review the definitions and examples I provided, as they are crucial for our upcoming discussions.</description></oembed>