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nesting pure functions

• To: mathgroup at smc.vnet.net
• Subject: [mg85968] nesting pure functions
• From: Ryan Olf <ryanolf at berkeley.edu>
• Date: Fri, 29 Feb 2008 06:18:49 -0500 (EST)

I'm trying to define a function, g, such that given some parameters and 
a function as arguments, it returns a pure function:

g[x_,y_,f_Function] = Function[f[x,y,#]]

However, I need to define g itself as a pure function. I'm not sure how 
to do this. It may be something like this:

g = Function[Function[#3[#1,#2,#?????]]]

Obviously, I want #?????? to be the argument of the of the outermost 
Function, and #1, #2, #3 of the innermost function.

Is there a way of defining g as a pure function (of a pure function) in 
Mathematica?

I appreciate your help,
Ryan