@@ -26,7 +26,7 @@ The images in the paper are sometime small. We offer high enough resolution ima
Illustration of how the strength of actors' ties (or links) varies as a function of time and topic overlap. Thread 1 corresponds to actor-topic dynamic (\ref{eq:1a}) where <img src="<https://latex.codecogs.com/svg.latex?B"/>>'s late post after <img src="<https://latex.codecogs.com/svg.latex?A"/>>'s \nth{1} publication does not correlate strongly enough to create the link from <img src="<https://latex.codecogs.com/svg.latex?A"/>> to <img src="<https://latex.codecogs.com/svg.latex?B"/>>. But <img src="<https://latex.codecogs.com/svg.latex?A"/>>'s \nth{2} post is timely enough, although not exactly on the same topic as <img src="<https://latex.codecogs.com/svg.latex?B"/>>'s message, to create the tie <img src="<https://latex.codecogs.com/svg.latex?A> \dashrightarrow B"/> drawn as a dashed arrow. In thread 2, in addition to the tie <img src="<https://latex.codecogs.com/svg.latex?B> \dashrightarrow A"/>, we have a topic overlap and time proximity between <img src="<https://latex.codecogs.com/svg.latex?C"/>> and <img src="<https://latex.codecogs.com/svg.latex?A"/>>. This makes a the strong tie <img src="<https://latex.codecogs.com/svg.latex?A> → C"/>.
Illustration of how the strength of actors' ties (or links) varies as a function of time and topic overlap. Thread 1 corresponds to actor-topic dynamic (\ref{eq:1a}) where B's late post after A's \nth{1} publication does not correlate strongly enough to create the link from A to B. But A's \nth{2} post is timely enough, although not exactly on the same topic as B's message, to create the tie A --> B drawn as a dashed arrow. In thread 2, in addition to the tie B --> A, we have a topic overlap and time proximity between C and A. This makes a the strong tie A → C.
2. Figure 2
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@@ -43,7 +43,7 @@ The images in the paper are sometime small. We offer high enough resolution ima
4. Figure 4
Graphical proposition for the function <img src="<https://latex.codecogs.com/svg.latex?I>(s,r)"/> of the messages' interaction strength. <img src="<https://latex.codecogs.com/svg.latex?s"/>> is the \`\`internal'' strength of two messages based on content, time and social network structure. <img src="<https://latex.codecogs.com/svg.latex?r"/>> is \`\`external'' requirement, it is a parameter set by the observer.
Graphical proposition for the function I(s,r) of the messages' interaction strength. s is the \`\`internal'' strength of two messages based on content, time and social network structure. r is \`\`external'' requirement, it is a parameter set by the observer.
