deletions | additions       diff --git a/The_facts_above_when.tex b/The_facts_above_when.tex  index 4421b2f..a9ce91f 100644  --- a/The_facts_above_when.tex  +++ b/The_facts_above_when.tex 
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The facts above, when represented as an RDF graph with triples relating such concepts as \ttt{lanl:marko}, \ttt{ucla:apepe}, \ttt{lanl:herbertv}, \ttt{cern:cern}, \ttt{ucla:ipam}, \ttt{elsevier:joi}, \ttt{doi:10.1016/j.joi.2008.04.002}, etc., serve to form the dilated triple $T_x$. In this way, the meaning of the asserted triple $(\ttt{lanl:marko}, (\ttt{lanl:marko},  \ttt{foaf:knows}, \ttt{ucla:apepe})$ \ttt{ucla:apepe})  is presented in the broader context $T_x$. In other words, $T_x$ helps to elucidate the way in which Marko knows Alberto. Figure \ref{fig:dilated-marko-alberto} depicts $T_x$, where the unlabeled resources and relationships represent the URIs from the previous representation. (Note: For the sake of diagram clarity, the supplemented triples are unlabeled in Figure \ref{fig:dilated-marko-alberto}. However, please be aware that the unlabeled resources are in fact the URI encoding of the aforementioned natural language example explaining how Marko knows Alberto.)