The-clock-synchronization-problem.md

@@ -2,7 +2,7 @@ Satellites send a signal and users’ receptor receives it. But in order to read
 
 **1st synchronization problem:**
 
-Indeed, if we calculate the time a signal makes to go from the satellites to the receptor, in an ideal world, we only would have to use the fact that $d=ct.$ As time is multiplied by the speed of light, distance is very sensible to time mistake:
+Indeed, if we calculate the time a signal makes to go from the satellites to the receptor, in an ideal world, we only would have to use the fact that ![f11]. As time is multiplied by the speed of light, distance is very sensible to time mistake:
 ![f1]
 
  Without any other mistake, time can be written  ![f2]  with ![f3] the propagation time, ![f4] the bias of the receptor, ![f5] the bias of the satellite.
@@ -36,3 +36,4 @@ The question that arises is: how to make sure those clocks are synchronized?
 [f8]: http://chart.apis.google.com/chart?cht=tx&chl=\frac{dp}{dt}=\frac{dD_{i}}{dt}+c\bigg(\frac{dt_{b,r}}{dt}-\frac{dt_{b,s}}{dt}\bigg)
 [f9]: http://chart.apis.google.com/chart?cht=tx&chl=\frac{dt_{b,r}}{dt}
 [f10]: http://chart.apis.google.com/chart?cht=tx&chl=\frac{dt_{b,s}}{dt}
+[f11]: http://chart.apis.google.com/chart?cht=tx&chl=d=ct
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