## 847 Reputation

11 years, 265 days

## Thank You...

@Carl Love Ok so I see now.  Just tested it this way

`(f, (E, V) -> V)(expand(A), exp(T))  gives  f(A, exp(T)), exp(T)`

## Can you explain......

@Christian Wolinski Very nice solution. I don't quite get the technicality of the (E,V)->V So E=expand(A) and V =exp(T) in this case and somehow (solve,((E,V)->V))(expand(A),exp(T))  includes exp(T) in the answer.   I notice the " " after solve and the enclosing (....) are necessary.  I did check through help but didn't see an explination. Of course maybe I missed that.

Edit:- I see that (E,V)->V))(expand(A),exp(T)   is eqivalent to

f := (E, V) -> V;

f(expand(A), exp(T));

## Solve Index Meaning?...

@Carl Love Can you explain what index means in relation to solve?

## True...

@Carl Love You are correct.  It took me a while to remenber the syntax to use.

Interesting problem.  So I gather there are "s" nested summation loops. I asked a question a few months ago that required with a variable number of summation loops. @Carl Love answered it.

Is it possible to Add/sum by mapping multiple values from a list - MaplePrimes

So just to clarify can t[j] and t[i]  be replaced with T[j] , T[i] to totaly distinguish them from t?

I presume the inputs are M and s.

Edit:-On problems like this a I start with small values for s and M and build the nested summations/products to handle them before trying for the total solution. I attach  document to see if my begining intrepertations are correct.

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## not serious, an example...

@Ali2020 The document stated "I do not know how you achieved your resuls". As they are listed vertically they could come from a loop. That is all.

## Thank you....

@max125 Opps.. I post my revised answer here. Makes the answer simpler.

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## shouldn't need to uninstall...

@nm I would just install over it.  Only when I have a big problem do I "clean" a program out of a computer.

## Nice....

@dharr Oh.  I didn't realist that about view. Very simple.

## I Know...

@vv Yes I hit that. Couldnt fix it so I copied and pasted the answer.

@Carl Love Answer is much neater.

## Thank you....

@dharr , @tomleslie   Thanks. I had tried Null. Forgot about the all caps.

## Impressive....

@Carl Love That is good. My old attempt cripples the graphics on the computer.

## You Are correct....

@acer Excellent diagnosis That looks like what happened.  I will fix it during the week and let you know.

So, in this case ooes the "DirectSearch.mla" now contain the DirectSearch, RationalTrigonometry and RonanRoutines packages?

## I think I need a deeper look here...

@Joe Riel  Thank you. I don't understand whay this result is returned. The screen shot shows what is in the returned location.

See attached file on what I did.  AFIK. the mla files are in different locations; based on what I could find. I gave the different folders' locations in the question.

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## 2 x2 matrices reduced...

@mmcdara Thank you. Very detailed.  The matrix is built of 3 projective points [x,y,z]. Well I was trying to see if the determinalt =0. That would imply the points are colinear. I was trying last night to normailse them to [x/z,y/z,1], but even that was to much. If I could that would reduce the determinant multiplication greatly. e.g

`det=a_11*(a22-a23)-a12*(a21-a23)+a13*(a21-a22)`

I will check tonight and see if the z points have a common factor.