What is a shadow generating function?
shadow of what?
and on what?
Sounds like you're describing vector projection...
look at page 4 of: https://docs.google.com/viewer?a=v&q=cache:S9HzZ1KFxpwJ:cdn.transtutors.com/UploadAssignments/63970_1_Port-2012-2013.pdf+%22shadow+generating+function%22&hl=en&gl=uk&pid=bl&srcid=ADGEESgBRzexa6AQ4HpFfUZDq96fA-sldRfp19EtYCwv2G0BOVsokvRW4vu3LDrGqweonXyQts6RtRIaOip9uPvkugcLdBJKsJQUYBzHdljNjl7K8gPmLI87k1EJP9A6Uh-BJeCMnqjA&sig=AHIEtbQKuUaj27361pETt4V2eL9pZhgv-w
Oh wow... interesting. Never heard of that.
Basically it states: A "shadow function" to \(y_1\) is another quadratic \(y_2\) which shares the same vertex as \(y_1\). However \(y_2\) has opposite concavity to \(y_1\) and its zeros are in the form \(a\pm b\).
That document is exactly what i'm working from... the question i'm referring to is "Hence, or otherwise, express y2 in terms of y1 and ym , where ym is called the “shadow generating function”." But I don't know how to get ym if i don't know what a shadow generating function is.
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