From: Intransition <transfire@...>
Date: 2012-01-27T00:15:42+09:00
Subject: Re: Microrant on Ruy's Math Skills

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Taking a step back, I find myself a bit confused. Trying to best implement 
close?/approx? methods I start withe the premise:

    |a - b| <= x

Where a and b are the two values being compared and x is the delta or 
epsilon. So I am wonder how you came up with your ratio formula. If we 
divide both sides by b then:

    |a/b - b/b| <= x/b

    |a/b - 1| <= x/b

In your formula it is the same except x is not divided by b. What am I 
missing?


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Taking a step back, I find myself a bit confused. Trying to best implement close?/approx? methods I start withe the premise:<div><br></div><div>&nbsp; &nbsp; |a - b| &lt;= x</div><div><br></div><div>Where a and b are the two values being compared and x is the delta or epsilon. So I am wonder how you came up with your ratio formula. If we divide both sides by b then:</div><div><br></div><div>&nbsp; &nbsp; |a/b - b/b| &lt;= x/b</div><div><br></div><div>&nbsp; &nbsp; |a/b - 1| &lt;= x/b<br></div><div><br></div><div>In your formula it is the same except x is not divided by b. What am I missing?</div><div><br></div>
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