Looking for interesing formula

Posted by Thinker on Stack Overflow See other posts from Stack Overflow or by Thinker
Published on 2010-03-12T18:18:59Z Indexed on 2010/03/12 18:27 UTC
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I'm creating a game, where players can make an alloy. To make it less predictable, and more interesting, I thought that durability and hardness of an alloy can't be calculated by simple formula, because it will be extremely easy to find extrema, where alloy have best statistics.

So the questions is, is there any formula for a function, where extrema can be found only by investigating all points? Input values will be in percents: 0.0%-100.0%. I think, it should look like this: half sound wave

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