Modes

Modes
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2016-04-19 10:58
This example demonstrates the concept of modes, involving geometric distribution. By adjusting parameters, you can observe changes in the modes. Key mathematical concepts include geometric distribution and probability & statistics. It uses GeoGebra commands such as sliders and functions. Suitable for high school and above students learning probability & statistics.

GeoGebra Commands & Parameters

  1. Numeric L(6.0)
  2. (0, 0)
  3. (L, 0)
  4. Numeric n(11.0)
  5. f(x) = sin(((n * π) * x / L))
  6. g(x) = If[0 ≤ x ≤ L, f(x)]
  7. ((-L), 0)

AI Drawing Prompt Reference

Draw a line segment AB with a length of 6, then plot a sine wave function with an amplitude of 1 and a period of 11, based on AB. Adjust the length of AB and the period of the function to observe changes in the waveform.
The prompt above was compiled from the original drawing commands and is for reference only.