Define a Function from a List in Maple

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SUMMARY

Defining a function from a list in Maple is achievable through interpolation methods. Users can utilize techniques such as linear, bilinear, Hermite, cosine interpolation, or more advanced methods like cubic spline interpolation. Maple provides a built-in Spline function that facilitates this process, allowing users to derive continuous function values from discretely sampled points. This capability is particularly useful for generating smooth graphs from data sets.

PREREQUISITES
  • Familiarity with Maple software
  • Understanding of interpolation methods (linear, cubic spline, etc.)
  • Basic knowledge of plotting functions in Maple
  • Experience with discrete data representation
NEXT STEPS
  • Explore the Maple Spline function documentation
  • Learn about cubic spline interpolation techniques
  • Research linear and bilinear interpolation methods
  • Investigate Hermite and cosine interpolation applications
USEFUL FOR

This discussion is beneficial for mathematicians, data analysts, and engineers who utilize Maple for data visualization and function approximation from discrete datasets.

penguin007
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Hi,

I've just ploted a graph in Maple from a list thanks to the function pointplot(...,style=LINE). The graph(cf attachment) "looks like" a continuous function. So my question is the following:
Is it possible to define a function from a list in Maple (provided that the plot of this list seems continuous); I mean, I would like to get the value for any abscissa.

Thanks for your help.
 

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penguin007 said:
Is it possible to define a function from a list in Maple (provided that the plot of this list seems continuous);

A function can be defined from a set of discretely sampled points using an interpolation method. For example, using linear/bilinear/hermite/cosine interpolation or something more advanced like cubic spline or Legendre. Maple does have a Spline function for this
 
Thank you junglebeast
 

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