Functional relationships in nature are rarely such that they can be mathematically modeled with satisfactory accuracy over a wide range of a given dimension, primarily because the mathematical functions quickly become unwieldy. To nevertheless represent the functional relationships found in nature mathematically, interpolation methods can be employed. These methods use a set of specific points within the domain of interest to determine a mathematical function that, at least at these specific points, represents the functional relationship with sufficient accuracy.

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The Interpolation Polynomial

  • Josef von Stackelberg

摘要

Functional relationships in nature are rarely such that they can be mathematically modeled with satisfactory accuracy over a wide range of a given dimension, primarily because the mathematical functions quickly become unwieldy. To nevertheless represent the functional relationships found in nature mathematically, interpolation methods can be employed. These methods use a set of specific points within the domain of interest to determine a mathematical function that, at least at these specific points, represents the functional relationship with sufficient accuracy.