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Energy Diagram Example

Energy Diagram Example
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2018-11-18 06:10
FunctionCalculusIntegralProbability & StatisticsGeometric Construction
This example demonstrates energy diagrams in physics or chemistry, visualizing energy changes and state relationships. Key math concepts include integral calculus, indefinite integral, natural number addition, and normal distribution. Construction highlights GeoGebra commands like Line, Point, Intersect, Segment, and If, along with objects such as O, p, U_{Ef}, etc. Suitable for high school students, educators, and calculus learners to understand energy transformations and calculations.

GeoGebra Commands & Parameters

  1. Line(O, yAxis) → p
  2. Point(p) → U_{Ef}
  3. Point(yAxis) → C
  4. Line(C, yAxis) → f
  5. Line(F, f) → h
  6. Point(h) → U_{gi}
  7. Point(f) → K_i
  8. Line(G, f) → i
  9. Point(i) → U_{Ei}
  10. Line(H, f) → j
  11. Point(j) → W_{n-c}
  12. Line(M, yAxis) → m
  13. Point(m) → K_f
  14. Line(N, yAxis) → n
  15. Point(n) → U_{gf}
  16. Intersect(xAxis, yAxis) → A
  17. Point(Circle[A, 1]) → B
  18. Line(D, E) → g
  19. Intersect(f, xAxis) → I
  20. Intersect(h, xAxis) → J
  21. Intersect(i, xAxis) → K
  22. Intersect(j, xAxis) → L
  23. Segment(K_i, I) → k
  24. Segment(U_{gi}, J) → l
  25. Segment(U_{Ei}, K) → Kf_1
  26. Segment(W_{n-c}, L) → Ugf_1
  27. If(y(K_i) > 0, true, false) → KiCheck
  28. If(-0.1 < deltaE < 0.1, true, false) → deltaECheck
  29. If(-0.1 < y(K_f) < 0.1, true, false) → KfCheck
  30. Segment(M, K_f) → q
  31. Segment(N, U_{gf}) → r
  32. Segment(O, U_{Ef}) → s
  33. If(y(W_{n-c}) < 0, true, false) → WncCheck
  34. If(y(U_{Ef}) > 0, true, false) → UefCheck
  35. If(KfCheck ∧ KiCheck ∧ deltaECheck ∧ WncCheck ∧ UefCheck, 1, 0) → grade