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OpenStudy (anonymous):

What is a shadow generating function?

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OpenStudy (anonymous):

shadow of what?

OpenStudy (anonymous):

and on what?

OpenStudy (anonymous):

Sounds like you're describing vector projection...

OpenStudy (asnaseer):

OpenStudy (anonymous):

Oh wow... interesting. Never heard of that.

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OpenStudy (asnaseer):

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 \(a\pm b\).

OpenStudy (anonymous):

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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