Function Approximation
Definition
Function approximation is the process of estimating the value of an unknown function using known data points or simpler functions. It allows us to make predictions or simplify complex calculations.
Analogy
Imagine you have only seen parts of a picture puzzle, but you want to guess what the complete image looks like. Function approximation is like using those partial pieces to create an educated guess about what the whole picture might be.
Related terms
Taylor Series Expansion: A method for approximating functions by representing them as infinite sums of simpler functions.
Linearization: Approximating a nonlinear function with its tangent line at a specific point.
Interpolation: Estimating unknown data points within known data points based on their position relative to neighboring points.
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