Thursday, October 16, 2025

Request

 I got a request yesterday: could I show a cubic spline problem with four data points. 

ChatGpt suggested I add (4,4) as the fourth point. It's the nature of the thing:  the previously

established equations have to be redone. Below:

                                                                                 








Computers are useful for this kind of elaborate mathematics, Matrix Algebra (Gauss). The

idea is to generate a series of equations for the space between each data points. With 4 points,

one is looking for 3 interval equations. 


I used DeepSeek to calculate the equations for me, and Perplexity to produce a pdf and the graphs.



https://chat.deepseek.com/share/x5cl3bk156c9nxe9m3


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I had Gemini redo the request; same output!! Also asked about natual vs clamped output:

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