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Gaussian Distributions and Transformations

Gaussian Distributions and Transformations
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2019-03-12 22:23
VectorFunctionCoordinate GeometrySolid GeometryTransformation
This example demonstrates the geometric transformations and parameter effects of 3D Gaussian distributions. It involves core math concepts like 3D vector operations, coordinate geometry, function graphing, and transformations. Construction uses GeoGebra objects A, a, b, u, v, B, c for points, vectors, equations, and transformations. Suitable for high school and above mathematics education to understand spatial geometry and function transformations.

GeoGebra Commands & Parameters

  1. Numeric A(2)
  2. Numeric a(2.1)
  3. Numeric b(2.5)
  4. Numeric u(-2.7)
  5. Numeric v(-2.9)
  6. Numeric B(2)
  7. c(x, y) = (A * ℯ^((-((x - a)^(2) + (y - b)^(2))))) + (B * ℯ^((-((x - u)^(2) + (y - v)^(2)))))