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Sine Wave Sounds Demo

Sine Wave Sounds Demo
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2016-12-02 07:29
FunctionTrigonometryCalculusGraphing
This example demonstrates the generation and visualization of sound from sine waves. It involves core mathematical concepts like trigonometry, continuity, limits, and stochastic processes. The construction uses GeoGebra commands/objects such as a_2, f_2, a_1, f_1, g, f, buttons, sliders, and text elements. Suitable for high school and above to understand the relationship between sound and mathematical functions dynamically.

GeoGebra Commands & Parameters

  1. Numeric a_2(0.4)
  2. Numeric f_2(656)
  3. Numeric a_1(0.4)
  4. Numeric f_1(672)
  5. g(x) = (a_2 * sin((((f_2 * 2) * π) * x)))
  6. f(x) = (a_1 * sin((((f_1 * 2) * π) * x)))
  7. Boolean a(true)
  8. Boolean b(false)
  9. Boolean c(false)
  10. Numeric a_3(0.1)
  11. Numeric f_3(640)
  12. h(x) = (a_3 * sin((((f_3 * 2) * π) * x)))
  13. Boolean d(true)
  14. Boolean e(false)
  15. Boolean i(false)
  16. Boolean j(false)
  17. Boolean k(false)
  18. Boolean l(false)
  19. C(x) = (j * f(x)) + (k * g(x)) + (l * h(x))

AI Drawing Prompt Reference

Create a sine wave sound demonstration graph with two sine waves of different frequencies and amplitudes, and an optional third sine wave. First, draw a sine wave with a frequency of 672 and an amplitude of 0.4. Then, draw another sine wave with a frequency of 656 and an amplitude of 0.4. Finally, based on the button selection, add a third sine wave with a frequency of 640 and an amplitude of 0.1.
The prompt above was compiled from the original drawing commands and is for reference only.