LatestMachine LearningDont Get the Polywobbles Shifting Quartics? Its Simpler With a Designer Ratio! 0 like January 3, 2025Share this postAuthor(s): Greg Oliver Originally published on Towards AI. Simplifying Quartic Shifts using a Designer RatioNow You B Me. Now You Dont!This member-only story is on us. Upgrade to access all of Medium.It can give you the Polywobbles trying to get your head around the fact that moving any Polynomial around the X-Y Grid can change its formula markedly without any change of shape. Most of us are ok with straight up and down moves due to Constant term changes, but lateral shift formula changes are a bit harder to grasp.The Quartic y=Ax+Bx+Cx+Dx+E shown in black in the Header Graph is shifted laterally until its 2 Inflection Points +-Ip(x) equally straddle the Y-Axis. The now Home-based function shown in red, y=Ax+cx+dx+e has no Bx term and different x^n Coefficients and Constant e, but its shape and size have not changed.Many students will be familiar with lateral shifts referred to as Depressing which Cardano adopted to eliminate the Bx term with his Cubic roots solution and Ferrari the Bx term in deriving the Quartic roots solution. I think the term can be a little misleading because there is no change to the functional architecture, it simply has a new address.Furthermore if shifting to random locations, these terms change but are not necessarily eliminated. So while this Read the full blog for free on Medium.Join thousands of data leaders on the AI newsletter. Join over 80,000 subscribers and keep up to date with the latest developments in AI. From research to projects and ideas. If you are building an AI startup, an AI-related product, or a service, we invite you to consider becoming asponsor. Published via Towards AITowards AI - Medium Share this post