From: W. Trevor King Date: Tue, 21 May 2013 20:53:23 +0000 (-0400) Subject: sawsim/discussion.tex: Add caveat about unfolding range and mean/variance X-Git-Tag: v1.0~148 X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=96161c671a893ee9b0f819099c8343510d1f3dbd;p=thesis.git sawsim/discussion.tex: Add caveat about unfolding range and mean/variance --- diff --git a/src/sawsim/discussion.tex b/src/sawsim/discussion.tex index ae438df..4c5ed52 100644 --- a/src/sawsim/discussion.tex +++ b/src/sawsim/discussion.tex @@ -710,7 +710,11 @@ which matches \cref{eq:sawsim:gumbel} except for a constant prefactor due to the range\footnote{ The Gumbel distribution in \cref{eq:sawsim:gumbel} is normalized for the range $-\infty < F < \infty$, but \cref{eq:unfold:bell_pdf} is - normalized for the range $0 \le F < \infty$. + normalized for the range $0 \le F < \infty$. This distinction will + alter the analytical mean and variance listed after + \cref{eq:sawsim:gumbel}, but with the experimental unfolding + histograms showing few zero-force unfolding events, the effective + difference will be negligable. }. % \nomenclature{$\alpha'$}{The mode unfolding force for a single folded