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MvGulik

[Solved] None linear interpolation.

7 posts in this topic

#1 ·  Posted (edited)

whatever Edited by MvGulik

"Straight_and_Crooked_Thinking" : A "classic guide to ferreting out untruths, half-truths, and other distortions of facts in political and social discussions."
"The Secrets of Quantum Physics" : New and excellent 2 part documentary on Quantum Physics by Jim Al-Khalili. (Dec 2014)

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Is that still timing data with/without Sleep? (Just curious)

You don't have much data points here. Just having frequency for 4,5 and more importantly 9 would greatly help. If you post data, I'll fire another Mathematica session to have a nicer function fit (but I don't promise anything simple and reasonably accurate with that few data points).

Here's why I ask: the basic fitting uses polynomials to some degree. Without more constraints, you "see" that the curve is tempted to satisfy zeroes (n degree polynomial has up to n zeroes). Using other methods (non polynomial, like trigonometric or more complex) would make it worse in your case.


This wonderful site allows debugging and testing regular expressions (many flavors available). An absolute must have in your bookmarks.
Another excellent RegExp tutorial. Don't forget downloading your copy of up-to-date pcretest.exe and pcregrep.exe here
RegExp tutorial: enough to get started
PCRE v8.33 regexp documentation latest available release and currently implemented in AutoIt beta.

SQLitespeed is another feature-rich premier SQLite manager (includes import/export). Well worth a try.
SQLite Expert (freeware Personal Edition or payware Pro version) is a very useful SQLite database manager.
An excellent eBook covering almost every aspect of SQLite3: a must-read for anyone doing serious work.
SQL tutorial (covers "generic" SQL, but most of it applies to SQLite as well)
A work-in-progress SQLite3 tutorial. Don't miss other LxyzTHW pages!
SQLite official website with full documentation (may be newer than the SQLite library that comes standard with AutoIt)

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#3 ·  Posted (edited)

whatever Edited by MvGulik

"Straight_and_Crooked_Thinking" : A "classic guide to ferreting out untruths, half-truths, and other distortions of facts in political and social discussions."
"The Secrets of Quantum Physics" : New and excellent 2 part documentary on Quantum Physics by Jim Al-Khalili. (Dec 2014)

"Believing what you know ain't so" ...

Knock Knock ...
 

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Kriging on that few samples has no meaning. The method relies on assumptions that clearly lack here. It's very well suited to ground profiling for instance and is used intensively in this domain (on small scales). Larger scales use other methods.

The main problem with all the least squares methods is that they all claim to be the best, yet they can lead to completely different results depending on which method you select and which "parameter" you feed. And that's only the begining as you may as well bring on this Bezier, splines, B-splines, Beta-splines and their cohort of associated orthogonal polynomials (Bernstein, Tchebicheef, Legendre, Bessel, ...) and have even more "parameters" to choose. Every possible combination giving you, of course, "the best" result, proof in hand!

From this point of view, Lagrange is the simplest, makes no untold assumptions beside continuity and derivability and doesn't require you pick any "parameter" at random. Another method with even more benefits is what their author calls (well, could be called by now) "polar interpolation" by Paul de Faget de Casteljau.

But you know, I'm afraid all this discussion I'm shifting it outside AutoIt perimeter! You could nonetheless try to code a polar form (in the sense of De Casteljau) in AutoIt. I own all the books of Paul somewhere, but none handy. Maybe Google reminds him: yes, you find many links.


This wonderful site allows debugging and testing regular expressions (many flavors available). An absolute must have in your bookmarks.
Another excellent RegExp tutorial. Don't forget downloading your copy of up-to-date pcretest.exe and pcregrep.exe here
RegExp tutorial: enough to get started
PCRE v8.33 regexp documentation latest available release and currently implemented in AutoIt beta.

SQLitespeed is another feature-rich premier SQLite manager (includes import/export). Well worth a try.
SQLite Expert (freeware Personal Edition or payware Pro version) is a very useful SQLite database manager.
An excellent eBook covering almost every aspect of SQLite3: a must-read for anyone doing serious work.
SQL tutorial (covers "generic" SQL, but most of it applies to SQLite as well)
A work-in-progress SQLite3 tutorial. Don't miss other LxyzTHW pages!
SQLite official website with full documentation (may be newer than the SQLite library that comes standard with AutoIt)

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#5 ·  Posted (edited)

whatever Edited by MvGulik

"Straight_and_Crooked_Thinking" : A "classic guide to ferreting out untruths, half-truths, and other distortions of facts in political and social discussions."
"The Secrets of Quantum Physics" : New and excellent 2 part documentary on Quantum Physics by Jim Al-Khalili. (Dec 2014)

"Believing what you know ain't so" ...

Knock Knock ...
 

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#6 ·  Posted (edited)

whatever Edited by MvGulik

"Straight_and_Crooked_Thinking" : A "classic guide to ferreting out untruths, half-truths, and other distortions of facts in political and social discussions."
"The Secrets of Quantum Physics" : New and excellent 2 part documentary on Quantum Physics by Jim Al-Khalili. (Dec 2014)

"Believing what you know ain't so" ...

Knock Knock ...
 

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I'll get to answer you about this, but I just finds one major web source of information has been removed from public access few hours ago and I need to find a workaround asap. Sorry.


This wonderful site allows debugging and testing regular expressions (many flavors available). An absolute must have in your bookmarks.
Another excellent RegExp tutorial. Don't forget downloading your copy of up-to-date pcretest.exe and pcregrep.exe here
RegExp tutorial: enough to get started
PCRE v8.33 regexp documentation latest available release and currently implemented in AutoIt beta.

SQLitespeed is another feature-rich premier SQLite manager (includes import/export). Well worth a try.
SQLite Expert (freeware Personal Edition or payware Pro version) is a very useful SQLite database manager.
An excellent eBook covering almost every aspect of SQLite3: a must-read for anyone doing serious work.
SQL tutorial (covers "generic" SQL, but most of it applies to SQLite as well)
A work-in-progress SQLite3 tutorial. Don't miss other LxyzTHW pages!
SQLite official website with full documentation (may be newer than the SQLite library that comes standard with AutoIt)

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