Do you want to exclude linear combiations also? In order words, do you want your set to be linearly independent?

@tuGUTS Look at the output with lprint(%).

@tuGUTS Look at the output with lprint(%).

@erik10It makes perfect sense.

It should all be doable with the recursive procedure and within evalhf---assuming that your real functions can be computed with ordinary arithmetic and elementary functions and assuming that you don't go much bigger than (40,6).

Yes, we can return two matched Arrays of real numbers, in arbitrary order but with the pairs corresponding to a single combination.

@erik10It makes perfect sense.

It should all be doable with the recursive procedure and within evalhf---assuming that your real functions can be computed with ordinary arithmetic and elementary functions and assuming that you don't go much bigger than (40,6).

Yes, we can return two matched Arrays of real numbers, in arbitrary order but with the pairs corresponding to a single combination.

@roman_pearce Thanks, Roman, for the explanation. Your final result is the same as I what I got by applying the relations individually in reverse order.

So, I guess that you are saying that currently there is no way to do this with a single simplify command using only 0.140 seconds, right?

@roman_pearce Thanks, Roman, for the explanation. Your final result is the same as I what I got by applying the relations individually in reverse order.

So, I guess that you are saying that currently there is no way to do this with a single simplify command using only 0.140 seconds, right?

@erik10 So at the end of the process you want to have a list (or Array) with binomial(45,5) entries, each a real number, right? Does it matter what order they are in? If it doesn't matter, do you need for it to be possible to reconstruct a combination from its list position? Or would a completely random order be okay?

@erik10 So at the end of the process you want to have a list (or Array) with binomial(45,5) entries, each a real number, right? Does it matter what order they are in? If it doesn't matter, do you need for it to be possible to reconstruct a combination from its list position? Or would a completely random order be okay?

@martinz So are you counting the texts, photos, etc.? What accounts for the different sizes of the colored sections?

You say that you "have a Matrix". But your Matrix cannot contain a value like 2013-08-13T00:29:24+0000. It has to be some sort of string.

@casperyc It doesn't matter whether you use { } or [ ]. Either one will take much too long if you try to do all the substitutions at once. The trick is to do them individually and in reverse order.

Casper wrote:

That makes me think, how do Maple actually do it in simplify(kappa, {newpar}) ? Is it done in the natural order? or 'parrellel'?

It is done in an order determined by the monomial ordering. I don't know what that order is by default. Alphabetization could have something to do with it. Studying it further might require a book on Groebner bases and/or Buchberger's algorithm.

@casperyc It doesn't matter whether you use { } or [ ]. Either one will take much too long if you try to do all the substitutions at once. The trick is to do them individually and in reverse order.

Casper wrote:

That makes me think, how do Maple actually do it in simplify(kappa, {newpar}) ? Is it done in the natural order? or 'parrellel'?

It is done in an order determined by the monomial ordering. I don't know what that order is by default. Alphabetization could have something to do with it. Studying it further might require a book on Groebner bases and/or Buchberger's algorithm.

You need to give more-detailed examples of your data. What exactly does "text1" look like? It must contain a number somehow. How exactly is the timestamp represented? It must be some sort of string, but you did not use any quotes. What is the +0000? Is that a timezone representation? Is that value ever different from +0000?

I guess that each bar in the graph represents one month. What do the different colors repesent?

There is probably a syntax error, perhaps unmatched parentheses, in one of the statements after the if and before the else. Please post the code: I can find it quicker than it took me to type this.

Are the time values evenly spaced?