Simulating Bubble Generation with Poisson Process

Simulating Bubble Generation with Poisson Process
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2017-11-16 10:23
This example demonstrates how to simulate bubble generation timings based on the Poisson process. Key math concepts include Poisson processes, probability & statistics, and random event generation. GeoGebra commands/objects used are Segment, Point, n_{10} to n_1, sumnceil, sumnfloor, P, Q, f, U_1, r, textExplanatory1, anim, U_2, r_b, textExplanatory2, button1, a, button2, nextpage, button3, textDebugBox, text1, textPrimer2, textPrimer3, textPrimer1, ra, b, n_p, nextimsec, bubblecount, timelapsed, poissonanim, button4. Suitable for high school students and above learning probability statistics and random processes, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Segment(P, Q) → f
  2. Point(f) → U_1
  3. Point(f) → U_2
  4. Point(f) → U_3
  5. Point(f) → U_4
  6. Point(f) → U_5
  7. Point(f) → U_6
  8. Point(f) → U_7
  9. Point(f) → U_8
  10. Point(f) → U_9
  11. Point(f) → U_{10}