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MathGroup Archive 2003

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Re: Defining Operators

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44757] Re: Defining Operators
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 25 Nov 2003 00:45:26 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <bpnl8b$6kj$1@bob.news.rcn.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

IntegrationOperator[f_][x_] := Block[{t}, Integrate[f[t], {t, 0, x}]]

IntegrationOperator[#^3 &][x]

??

Regards
  Jens

Scott Guthery wrote:
> 
> I'd like to define an operator such as ...
> 
> IntegrationOperator[f_] = Integrate[f, {t, 0, 1}]
> 
> so that if ...
> 
> g[x_, t_] = x t
> 
> I could write something like ...
> 
> h[x_] = IntegrationOperator[g][x]
> 
> How does one accomplish this in Mathematica?
> 
> Thanks for any insight.
> 
> Cheers, Scott


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