Re: "vector" Map[] / functional outer product?

• To: mathgroup at smc.vnet.net
• Subject: [mg83763] Re: "vector" Map[] / functional outer product?
• From: Albert Retey <awnl at arcor.net>
• Date: Fri, 30 Nov 2007 05:13:46 -0500 (EST)
• References: <fim8tq\$rmd\$1@smc.vnet.net>

Hi,
>
> is there a simpler way to express
>
> 	{f@#,g@#}& /@ {a,b,c}
>
> 	-> {{f[a],g[a]},{f[b],g[b]},{f[c],g[c]}}
>
> ie. is there some mathematica function ??? such that
>
> 	{f,g} ??? {a,b,c}
>
> 	-> {{f[a],g[a]},{f[b],g[b]},{f[c],g[c]}}
>
> you might be asking what's so difficult about the "@#,@#,... & /@"
> syntax, but what about when you don't have two functions f,g but 8-10
> functions... the syntax gets ugly fast and hard to read.
>
> note that
>
> 	Outer[{f, g}, {a, b, c}]
>
> 	-> {{f, g}[a], {f, g}[b], {f, g}[c]}
>
> doesn't work, neither does
>
> 	Outer[Apply, {f, g}, {a, b, c}]
>
> 	->{{a, b, c},{a, b, c}}

Outer[#2@#1 &, {a, b, c}, {f, g}]

hth,

albert

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