{"id":5677,"date":"2020-03-28T09:02:46","date_gmt":"2020-03-28T15:02:46","guid":{"rendered":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/?p=5677"},"modified":"2020-03-28T09:20:06","modified_gmt":"2020-03-28T15:20:06","slug":"quod-erat-demonstrandum","status":"publish","type":"post","link":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/2020\/03\/28\/quod-erat-demonstrandum\/","title":{"rendered":"Quod erat demonstrandum"},"content":{"rendered":"<h3>QED 1<\/h3>\n<p>Some time ago, I went through a proof of the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Quadratic_formula\">quadratic formula<\/a> with the pre-AP kids. It was part of our notes. I put the proof in their homework. The proof was an extra credit question on their test.&nbsp;At the end of the proof, when we had arrived at our destination, I wrote on the board: <em>QED<\/em>.<\/p>\n<p>I turned to the kids.<\/p>\n<p>&ldquo;<em>Quod erat demonstrandum<\/em>,&rdquo; I said. I rolled the r&rsquo;s. I flattened the vowel sounds. I did my best to sound exotic.<\/p>\n<p>&ldquo;What&rsquo;s that!?&rdquo; a student asked.<\/p>\n<p>&ldquo;That which was to be shown,&rdquo; I said. &#8220;It&rsquo;s latin&rdquo;.<\/p>\n<p>And I repeated it again.<\/p>\n<h3>QED 2<\/h3>\n<p>We did another proof a few weeks ago. Frankly these proofs are not so much proofs <em>per se<\/em> as derivations. So yeah. We derived something else. And when we got to the end, I wrote: <em>QED<\/em>.<\/p>\n<p>One of the students said, &ldquo;Tell us what that stands for again, Mr. Hasan.&#8221;<\/p>\n<p>Of course, they knew what it stood for. What they were asking for was the <em>latin<\/em>. They wanted to hear it.<\/p>\n<p>&ldquo;<em>Quod erat demonstrandum<\/em>,&rdquo; I said. I rolled the r&rsquo;s. I flattened the vowel sounds. I did my best to sound exotic.<\/p>\n<h3>Professor Langebartel<\/h3>\n<p>When I was an undergraduate at the University of Illinois, I took a <em>Differential Equations and Orthogonal Functions<\/em> course from <a href=\"https:\/\/math.illinois.edu\/system\/files\/inline-files\/memoriam-langebartel.pdf\">Dr. Langebartel<\/a>. He was awesome, so awesome that when I needed a math elective to finish my minor I chose <em>Tensor Analysis<\/em> simply because he taught it.<\/p>\n<p>Dr. Langebartel once stopped a lecture and asked us, &ldquo;Who was the greatest mathematician in history?&rdquo; He waited briefly, but this was a rhetorical question. He answered it himself.<\/p>\n<p>&ldquo;Eudoxus,&rdquo; he said.<\/p>\n<p>We were in an auditorium in Altgeld Hall (which is <a href=\"https:\/\/altgeldillini.illinois.edu\/\">going to get a facelift soon<\/a>). I can still hear his booming voice in that large hall drawing out his <a href=\"https:\/\/www.wordnik.com\/words\/sibilant\">sibilants<\/a>:&nbsp;<em>Eudoxxxxxusssss! <\/em>And he told us a story about <a href=\"https:\/\/en.wikipedia.org\/wiki\/Eudoxus_of_Cnidus\">Eudoxus<\/a>.<\/p>\n<p>It was a surprise to have a professor give historical context in a technical course. No other professors I had did this.&nbsp;He was the one from whom I first learned&nbsp;<em>QED<\/em>. And I still remember how exotic it sounded for him to draw out the latin pronunciation. Clearly my students feel the same way.<\/p>\n<p><em>My students thank you for those lessons, professor.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>QED 1 Some time ago, I went through a proof of the quadratic formula with the pre-AP kids. It was part of our notes. I put the proof in their homework. The proof was an extra credit question on their test.&nbsp;At the end of the proof, when we had arrived at our destination, I wrote [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5677"}],"collection":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/comments?post=5677"}],"version-history":[{"count":4,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5677\/revisions"}],"predecessor-version":[{"id":5681,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/5677\/revisions\/5681"}],"wp:attachment":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/media?parent=5677"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/categories?post=5677"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/tags?post=5677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}