bertsekas tsitsiklis probability solution

We have provided two graphs showing the arrival times for the P and S waves verses distance from the earthquakes epicenter.Both graphs are identical.The first is a smaller scale and covers smaller distances (thus shorter time intervals between P and S wave arrivals) from the epicenter.The second can be used for larger distances (thus longer time intervals between P and S wave arrivals) from the epicenter.Determine the length along the vertical axis representing the time interval between the P and S-wave arrivals (step 2) for each station.Then find the distance on the horizontal axis where the lines representing the P-wave arrival and S-wave arrival are exactly that time interval from each other ALONG A VERICAL LINE.For example, if the time interval between the P and S-wave arrivals at a station were 20 seconds, this would correspond to a horizontal distance of approximately 200 km (see arrows in Figure 1).Locate each of the stations on the accompanying map of California.Use a compass to draw a circle centered on each city/station with a radius corresponding to the distance determined to the epicenter from that station.The horizontal scale in kilometers is provided on the map.If you have measured drawn everything correctly and carefully, the three circles around the stations should intersect at only one point, which will represent the epicenter of the earthquake.(note: there are many places to make small errors in this exercise and each will add cumulatively.If the circles do not intersect in one point, you should go back and make the measurements and calculations again, but more carefully.)Please have the assignment completed within the word document Label the P-wave and S-wave on each of the three seismogramsDetermine the time difference between the first arrivals of the P and S waves for each location and enter the times in the Table below.Determine the distance to the epicenter of the earthquake from each of the stations using the time difference between the P and S-wave arrivals determined in the previous step, and the two provided graphs of arrival times verses distance. We have provided you with three seismograms from a single earthquake.Each seismogram is from a different location in the vicinity of the earthquake. ĭirections: It will be easiest if you print this sheet out onto paper and work from that, but it’s also possible to do it completely digitally. TsitsiklisĪthena Scientific, Belmont, MassachusettsĪc ∩ B c =.

Bertsekas tsitsiklis probability solution