Trilinear and triquadratic functions are mathematical extensions of linear and quadratic functions into three dimensions. A trilinear function is defined as f(x,y,z) = 3x - 2y + 4z, while a triquadratic function can be represented by g(x,y,z) = x² + y² + z² and h(x,y,z) = xy + yz + xz. These functions are crucial for modeling complex relationships in three-dimensional space.
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