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In manual for Interpolate function it is said, that possible method of interpolation is Hermite.

Unfortunately, I can't see coincidence with Wikipedia article, where it is said that Hermite spline can be written as follows:

enter image description here

Output:

enter image description here

Mathematica file is here: https://drive.google.com/file/d/0B1jZw9H7L4gmc0hDam5rTVk0VUE/view?usp=sharing

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    $\begingroup$ Shouldn't Hermite be "Hermite"? $\endgroup$
    – Öskå
    Nov 18 '14 at 12:54
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    $\begingroup$ @Öskå the same result $\endgroup$
    – Suzan Cioc
    Nov 18 '14 at 13:30
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    $\begingroup$ Strongly related: "Extracting the function from InterpolatingFunction object." MichaelE2's answer shows how the "Hermite" method is implemented. $\endgroup$ Nov 18 '14 at 13:53
  • $\begingroup$ @AlexeyPopkov don't see how to extract function $\endgroup$
    – Suzan Cioc
    Nov 18 '14 at 15:26
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    $\begingroup$ While this question is not a duplicate I believe "(it) already has an answer here" does apply so I am joining belisarius in voting to close. If anyone feels this question is not adequately addressed there please let me know. $\endgroup$
    – Mr.Wizard
    Nov 18 '14 at 15:27

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