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$d > \sigma$ ... (1)

$\exp^{-(\frac{d^2}{2\sigma^2})} < 10^{-0.5}$ ... (2)

Is (1) <==> (2) true ?

EDIT: > replaced by < in the 2nd expression

  • 2
    What? Could you please clearify your question...2012-06-04
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    @draks I've edited it2012-06-04
  • 0
    If $r>0$, this is true. What makes you worry? There is just one step missing...2012-06-04
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    @draks The program code that I made does not return the same result with the two equations. I've edited my post, can you check again ?2012-06-05
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    If $d=100$ and $\sigma=1$ then (1) is certainly true and (2) is certainly false.2012-06-05
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    @GerryMyerson but $d > \sigma$ <=> $d^2 > -2\sigma^2 log(10^{-0.5})$ <=> $\exp^{-(\frac{d^2}{2\sigma^2})} < 10^{-0.5}$, this is not true ?2012-06-05
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    well I mean < not > in the second expression2012-06-05

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