<html><head><meta http-equiv="content-type" content="text/html; charset=us-ascii"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div><h1 class="style-scope ytd-watch-metadata" style="margin: 0px; padding: 0px; border: 0px; background: rgb(255, 255, 255); word-break: break-word; font-family: "YouTube Sans", Roboto, sans-serif; font-size: 2rem; line-height: 2.8rem; overflow: hidden; max-height: 5.6rem; -webkit-line-clamp: 2; display: -webkit-box; -webkit-box-orient: vertical; text-overflow: ellipsis; color: rgb(15, 15, 15); font-variant-ligatures: normal; orphans: 2; widows: 2; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;"><yt-formatted-string force-default-style="" class="style-scope ytd-watch-metadata">a quaternion version of Euler's formula</yt-formatted-string></h1></div><a href="https://www.youtube.com/watch?v=dvpAFWBVgy0">https://www.youtube.com/watch?v=dvpAFWBVgy0</a><div><br></div><div>A bit late for the discussion, and kind of sketchy when you get into it.</div><div><br></div><div>-Roger</div><div><br><div><br><blockquote type="cite"><div>On Apr 28, 2023, at 8:18 AM, Stephen Guerin <stephen.guerin@simtable.com> wrote:</div><br class="Apple-interchange-newline"><div><div dir="ltr">Special Unitary Groups and Quaternions <br><br>Mostly for Ed from the context of last week's Physical Friam if you're coming today.<br><br>Discussion was around potential ways of visualizing the dynamics of SU(3), SU(2), (SU1) that highlights Special Unitary Groups. (<a href="https://en.wikipedia.org/wiki/Special_unitary_group">wiki link from Frank</a>), and can we foreground how quaternions are used in this process.<br><br>and a related bit on forces, I'm searching for ways to visualize/understand how <a href="https://www.codeproject.com/Articles/5308623/Solving-Poisson-Equation">FFTs with Poisson equation</a> are used to compute the forces from scalar fields (eg gravitational force from mass density, electric force from charge, etc) and if there's any relation to Special Unitary Groups.<br><div><br></div><div>-S</div></div>
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