The issue in Example 1 is simply that in the 2nd loop you are overwriting data in the existing matrix M, therefore the size of this matrix is not the one you expected (is the initial size because the loop in the second application is shorter than the first, 4 vs 8 elements); to avoid this call a Clear(M) before using M in the second loop (alternatively you can call even M:matrix(0,0))

Edited by user 22 November 2017 03:41:07(UTC)  | Reason: Not specified

Hi!
@Davide Carpi: On the two examples we can make any mathematical analysis we want. But I have mainly mentioned how the program behaves in this type of construction. Of course the arrays are of different sizes. I have solved through this algorithm a problem of complex interpolation on domains. After applying the basic algorithm (see green box references) on all specific sub-domains, the result will ultimately be given by a logical decision algorithm that is not presented in the files. So the algorithm was applied twice, representing as many subdomains of the interpolated phenomenon. It will usually be applied more than twice - usually 4 ... 5 times over a domain represented by a complex phenomenon. Here I just have summarized two application.
@Jean Giraud: I'm sorry. I'm an engineer. Mathematics is just a tool for me to try to solve problems specific to my job. Generally, I did not studied the most advanced methods to solve a given problem, but I modeled the problems myself, as I imagined. I'll study the links you have indicated. If they do not take a long time to understand them and if they have advantages in the specific engineering practice, then I will try to substitute those for what I have imagined - which I have been using since 1999 when I first came into contact with a program assisted design in mathematics. The results were gratifying to me. This is the first time in almost 18 years when the algorithm gives errors, which has not happened on the different versions of MathCAD. That's why I asked here. In my opinion, the algorithm should have gone to SMath, however "primitive" it would be in terms of mathematics.

Edited by user 22 November 2017 11:26:16(UTC)  | Reason: Not specified

Good afternoon.
OK. If I understand correctly, the reason for errors, is the persistence (and at the same time the existence outside the first programmed algorithm) of the contents of the internal register M, which becomes an unwanted connection between the two programmed calculations. It will probably take some time until I get along with this matter. In MathCAD, the contents of internal registers of a programmable calculation are not accessible externally. The issue has both a good side. Due to this particularity, the program can be tracked and verified step by step. I also understand the meaning of the "Clear (x)" command. Thank you very much for the patience to expose me all these mechanisms. If you told me before, I probably did not read it carefully. I will count on the tips and will only come back if I will encounter other problems. Regarding your suggestion to donate, I'm sure all donations made so far are well worth it and I hope there will be many more in the future for this forum. To do it myself, I'm waiting for better times as far as I am concerned. If I had available funds, then I would probably be re-licensed for MathCAD, and this discussion probably does not take place.
I can only offer you my friendship as gratitude. Otherwise ... All right.

Edited by user 22 November 2017 14:59:50(UTC)  | Reason: Not specified

Good evening.



I'm sorry about that. I think I read again on the run. In order for there to be no other interpretation, I will offer you a virtual pint of pints and my righteous excuses. I will also send you ((in particular - only if you want)) a link to the article I am preparing and will probably appear within a maximum of one week. Here (in the country I live in) many people are busy doing free propaganda to culture, but especially to science and technology. There is also on the frontispiece of the portal that I have published several articles, the urging of its members and visitors to donate for the smooth running of the activities. However, everything I've published so far has done through volunteering. I would be happy if one or more of my articles would make some readers choose the way of knowing but not the one of delinquency. I also give you my respect and best wishes. Thank you again.

I'm going back to post-scriptum to tell you that I would like to thank you for your post # 5, but it seems like the button with this function does not work with me.

Edited by user 22 November 2017 19:17:56(UTC)  | Reason: Not specified

Hello Nicolas,

Your project is all resume in there ... as far as I understand [AFAIU].

Spline Matrix Tutorial METRIC Domain EXPLORER.sm (36kb) downloaded 29 time(s).

That's what I don't understand "triple interpolation".
I will revisit some of the Mathcad projects

Cheers.

The Smath component insert "Table" is a gadget that will fabricate an Excel style table
In maths, at the design stage, we just work with matrices. In Smath like in Mathcad,
you can insert/delete cols/rows anywhere ... you replace part of a matrix by another one
at any col/row location ... you can order cols/rows as you wish.
You can rotate cols/rows ,,, select/extract cols/rows
More can be done, those things come to mind from your keyword insertable.
All those red manipulations listed, they come from little tools that can be collapsed
at the top the work sheet, thus leaving the work space neat and clean.

It looks like you have a monster project on the design board.
Easier to catch the bull by the horns than catching a horse by the horn !

Cheers ... Jean

Good morning.
I do not know what you call the "monster project". I have many more complex calculations. The one of which I want to extract only a small part to publish it as an attachment file in an article on the internet, has 20 pages. Matrixes in the form of "insertable tables" have at most the size of some postage stamps. In the rest are mathematical relationships of all kinds (including those in the programmable form) logical decision blocks for optimizing results, graphics, illustrative sketches, etc. Everything is included in three functional areas, which closed, leaving me a separate space in two. The one at the top of the screen is for entering the data, while the one at the bottom for displaying the results. If I could use the original MathCAD files, the matter would have been a piece of cake. But it has become complicated, just by the need to transfer everything to the Smath. So the problem is not a mathematical one. The problem is I thought I could quickly learn to use SMath. It does not look like MathCAD much like I thought. All I have to do is study. I will use the tutorials and examples I will find on the internet, and when I do not understand, I will use your explanations on this forum. Otherwise, almost all engineering projects are "monster projects". We work with nonlinear, differential, integral equations, many special mathematics issues, but it is mostly the order of the day to interpolate the data, which are many and varied. They can depend on 1, 2, 3, or even more interpolation parameters, etc. All the best.

Edited by user 27 November 2017 09:06:16(UTC)  | Reason: Not specified

Good morning, Jean Giraud.
I have too little time for forum discussions. I will answer as quickly as possible. The first point in an engineering project is data interpolation. There can not be otherwise, because there are many phenomena (I only quote electromagnetic and thermotechnical ones) where there are no analytical formulas that model some phenomena and / or physical quantities. So the first step (area) of an engineering project will be data interpolation. At this stage, the interpolation functions are also established. They may exist outside of my science, but my job is not to study the mathematical methods, but the engineering issue itself. The second stage (area) is the calculation itself, where they interfere analytical relations of the discipline, the equations and the special methods of all kinds. The third stage (area) of an engineering project is the one that presents some graphical schemes and results. The project starts as I said with a data entry area and ends with a display of the results. In the country where I live, book prices are prohibitive. Nor do my self allow for a long time to buy new books. Indeed, because of this, many well-known authors have abandoned the very idea of ​​publishing. Because of this and many others (which they do not I enumerate), the education has lost much of the valences and influence they had ather time. Some of those who have learned and practiced technical professions (quite a few in number) have chosen to get involved by sharing their knowledge with young people on thematic forums. On the forums that I activated, I was the only that I tried to instill, including the interest in physical theory and mathematical tools to young people. Less than 2 out of 10 subjects have shown that they are interested in them. So if you (mathematicians) have found that mathematical tools have advanced in engineering, you could publish articles for those interested in computational examples on the Internet. Design examples of an electric transformer, rotating electric machines, or internal combustion engines would be very useful to young people. On this occasion, you will find that very few examples will contain less than 20 pages written in a specific math program, be it even SMath Studio.
Otherwise, all the best.

Best regards Jean Giraud.
Which data should be smoothed ???! If you analyze the examples I have given, you will see that there are no data entered in the matrix or vector form. The data matrices provided by me in the initial examples, I have said very clearly, are data provided by the producers of materials or devices whose characteristics are not determined by analytical mathematical formulas, but only by measurements in the laboratories of the respective manufacturers. These data are provided either tabularly or graphically and as such have already been processed and smoothed by the vendor (in the case of the tables) or by myself before the start of the project. Based on them, I just have to interpolate according to the concrete values of the characteristics that interest me. They do not require any smoothing.
I'm sorry, but the conversation deviated a lot from the subject.
All the best.