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The title sucks, I know... Anyway:

As part of a game I'm making, one of the buildings decreases the time it takes to build other things. Like so:

At level 0: Full time
At level 1: Full time / 2
At level 2: Full time / 3
At level 3: Full time / 4
...

So basically, the construction time is inversely proportional to this buildling's level. But so far my sentence to describe this effect is:

This building reduces construction times by a factor proportional to its level.

Is this correct? Is there a better way to phrase this? By my understanding this means that the factor (the denominator of the fraction) is proportional to the level, is this correct? Does "level + 1" count as proportional?

closed as general reference by Mitch, FumbleFingers, MetaEd, kiamlaluno, tchrist Sep 10 '12 at 23:58

This question is too basic; it can be definitively and permanently answered by a single link to a standard internet reference source designed specifically to find that type of information. If this question can be reworded to fit the rules in the help center, please edit the question.

  • 'Construction time of new buildings is inverse proportional to the number of levels of the main building'. – Mitch Jul 19 '12 at 21:02
  • It would be a good idea to clarify the question. From the problem description, I don't understand the construction time equation or what is being constructed or who is contructing what. Is Mitch's statement correct? (with inverse replaced by inversely) – James Waldby - jwpat7 Jul 19 '12 at 21:26
  • I see someone voted to close as Too Localised. I've voted to close as General Reference. What's the opposite of inversely proportional? Proportional! – FumbleFingers Jul 19 '12 at 21:51
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    So why can't you just say "inversely proportional"? It seems to me like the right expression. – user16269 Jul 20 '12 at 6:34
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It may be better to talk about construction speed rather than construction time. You can say: "At level k, widget construction speed is k+1 times as fast as at level 0." Alternately, provide a little table of construction speed, with entries like "Level 2: 30 units per day".

  • Derivatives come in handy here and there. – John Lawler Jul 19 '12 at 21:54

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