       Re: How to avoid repeated recalculation of the same function

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• Subject: [mg132681] Re: How to avoid repeated recalculation of the same function
• From: psycho_dad <s.nesseris at gmail.com>
• Date: Sun, 4 May 2014 02:26:56 -0400 (EDT)
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```Hey!

Consider the behavior of the two functions f and f1 (I have added the Pause to give the impression of a long calculation):

f[x_]:=(Pause;x^2)
f1[x_]:= f1[x]=(Pause;x^2)

(Notice the f1[x_]:= f1[x] "trick" used above...)

Now evaluate both of them:
f[x]
f1[x]

both take a long time to evaluate the first time. Now repeat:
f[x]
f1[x]

you will notice that f1[x] was done instantaneously! The reason is that Mathematica has included the value as part of the definition due to the f1[x_]:= f1[x] "trick", so it remembers it after it evaluates it once.

There are also other ways to do what you want, eg hardcoding by hand the result for f[x] after you evaluate it once (assuming it it always the same) etc.

Cheers

```

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