this is for holding javascript data
Virgil Șerbănuță edited untitled.tex
over 8 years ago
Commit id: a36152dcc94ba5eefbeb1a14439115c0a5054bda
deletions | additions
diff --git a/untitled.tex b/untitled.tex
index d5a6354..6ee833a 100644
--- a/untitled.tex
+++ b/untitled.tex
...
Let us now do the following:
\begin{itemize}
\item Restrict ourselves to universes in which we can measure things with real numbers.
\item Fix $\delta \gt 0$ and say that we care about measuring things which are larger than $\delta$ [TODO: replace epsilon with delta where needed]. This means that we can have three sizes $a$, $b$ and $c$ with $a=b$ and $b=c$ but
$a\not\=c$. $a\not=c$. This should be fine as long as we're aware that equality here actually means that the difference is smaller than $\delta$.
\item Fix a time length $s$ and ignore things which happen rarely.
\end{itemize}
We could use any reasonable definition of "measuring" and "happen rarely". Then we could say that the important things are the ones which are larger than $\delta$ and which do not happen rarely. Let us also fix an arbitrary time length $t\ge 0$, an acceptable error $\epsilon \ge 0$ and a probability $q\ge 0$ for our predictions [TODO: did I define this?] and let us denote by $f$ with $0 < f \le 1$ the fraction of the world where we can make predictions using the given time length $t$, the acceptable error $\delta$, having a probability $p$ that the prediction is correct.