I want to do some memory management in Maple for large arrays.

To clarify this question: What do I have to do in Maple to free memory allocated to an array? The indications I have are that memory probably is not freed, but rather a new variable of null is created that replaces the old one, but the old one is still sitting around.

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Is this a bug?

I was cleaning my code using mint. It told me that

             These names were used as global names but were not declared:  right

which is the direction used in a limit. When this happens, I just replace the name with 'right' to make it happy. This works for everything so far. But now limit fails with

      Error, (in assuming) when calling 'limit'. Received: 'invalid directional argument'

the strange thing this happens only when adding assuming after the limit.

It seems to me to be some parsing issue?  Attached is worksheet showing the problem.

Maple 2022.2 on windows 10. So for now I will remove the '' and let mint just complain.

Download issue_with_limit_oct_31_2022.mw

Hi,

Since a couple of years ago,  SQLite has been enriched with a bunch of new math functions not existing in previous versions: acos, asin, atan, atn2, atan2, acosh, asinh, atanh, difference, degrees, radians, cos, sin, tan, cot, cosh, sinh, tanh, coth, exp, log, log10, power, sign, sqrt, square, ceil, floor, pi. 

Examples: In SQLite version 3.39.4 2022-09-29 15:55:41 we can invoke:

sqlite> select pi();
3.14159265358979

sqlite> select power(2, 3);
8.0

sqlite> select floor(2.35);
2.0

Package Database[SQLite] in Maple 2022.2 does not recognize these functions.

In oldest versions of Sqlite3 we were able to add these functions after loading an external extension with sqlite3 api function load_extension() (see  https://sqlite.org/contrib/download/extension-functions.c), but his option is blocked in Maple:

dbName := "d:/sq3_maple/etc.db":
sq3Extension := "d:/sq3_maple/extensions.sq3":

with(Database[SQLite]);
[Attach, Bind, ClearBindings, Close, ColumnCount, ColumnNames, 
  Execute, Fetch, FetchAll, FetchRow, Finalize, Open, Opened, 
  Prepare, RESULT_BUSY, RESULT_DONE, RESULT_ROW, Reset, Step]

conn := Open(dbName):
Execute(conn, sprintf("SELECT load_extension('%s')", sq3Extension));
Error, (in Database:-SQLite:-Execute) not authorized

Am I missing something? Any way to add these functions to SQLite in current version of Maple?

Thanks in advance.

César Lozada

PS: SQLite is updated in Mathematica 13.1

is a typical example of Maple output (in this case the natural frequency of a harmonic oscillator with m>0) where further simplification to text book notation is desired.

To get

the context menu did not help. On the command level, combine,radical (which I assumed is suitable) was also not effective.

Is there a better way to achieve the desired simplification than the one (found by trial and error) in the attachment?

If there is no better way: Would it make sense to improve the combine or any other command for such a case?

combining_radical.mw

How can these eight equations q[0]...q[7] be solved for the eight unknowns a1[0]...a1[7] and with the lowest CPU time

11.mw

Hello,

I use Maple and Maple Flow and want to work with physical units. However, I am quickly reaching the limits of what is possible. Now the question: Would it be possible to work with units and the piecewise function? In the attached example, the integration of a defined function is no longer possible. Or should I proceed differently in principle? Many thanks for any advice

Clemens

Download UnitProblem.mw

It seems to me that Draghilev's method can be applied quite successfully to the solution of Diophantine equations. Here is a simple example where we find two solutions at the intersection line of two ellipsoids:
  x1^2-x1*x2+x2^2+x2*x3+x3^2-961=0;
  (x1-3)^2+10*x2^2+x3^2-900=0;
Solutions: (11, -4, -26) and (10, 1, 29).
 

Based on the text of the program, it is possible to solve various examples with Diophantine equations.
3d_1.mw

Explanations.
f3 is an auxiliary equation for finding the starting point, NPar is a procedure that implements the Draghilev method, the red color of the text is the place where the integer values of the points on the integral curve are filtered.

 Can be compared with the solution of the isolve function
 

 restart:
  f1 := x1^2-x1*x2+x2^2+x2*x3+x3^2-961;
  f2 := (x1-3)^2+10*x2^2+x3^2-900;
  isolve({f1, f2})

Hi, so I'm trying to solve this equation, but it seems that I've ran into two issues with it:

My problems with this this is such:

• The pi^2 did not get integrated into the solution, it's just a pi^2. I would rather it not be like that, but the actual resulting number from that division
• The units should result in Ω, but it's not, instead it just added the units from the original variables. How do I make it set to the "correct" unit?

LLC_converter.mw

Dear all

I construct by hand the two matrices L and U so that A= LU ( LU-factorization) 
I would like to find the number of arithmetic operations required to obtain the matrices 𝐿 and 𝑈

Number_arithmetic_operation.mw

Thank you

in some cases, when integral returns result with special function in it, I want to keep the integral as inert instead.

Currently I do an explicit check for some special functions that could show up (and add more if needed). like this

anti := timelimit(60,-int(B/A, x));
if  has(anti,hypergeom) 
               or has(anti,MeijerG) or has(anti,WhittakerM) 
               or has(anti,WhittakerW)or has(anti,EllipticE) or has(anti,EllipticF) then                            
   anti := -Int(B/A, x);
 fi;

It will be nice if I could write

anti := timelimit(60,-int(B/A, x));
if hastype(anti,'special_math_function') then                  
   anti := -Int(B/A, x);
fi;

Function advisor knows about all elementary functions in maple

FunctionAdvisor( elementary );
The 26 functions in the "elementary" class are:

 [arccos, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, 

   arcsech, arcsin, arcsinh, arctan, arctanh, cos, cosh, cot, 

   coth, csc, csch, exp, ln, sec, sech, sin, sinh, tan, tanh]

Is there a way to make a type in Maple for "special math functions"?  You might ask, what is a special math function. Well, it is all build in math functions in Maple which are not elementary? So I do not have to list them all in name one by one as there are so many of them.

Any suggestions?

Maple 2022.2.

I have not used _Envsignum0 before. Been looking at it, and I am little confused.

My testcase is the following

restart;

_Envsignum0:=1;
fy:=1/2*(a^2/y^2+2*a*b/y-4*a*c/y+b^2-4*b*c+4*c^2+2*a)^(1/2);
limit(diff(y*fy,y),y = 0,right) assuming real;

It still has signum there., I assumed all are real.

Is there a setting that will automatically convert all signum to 1?  as _Envsignum0:=1; does not seem to do it. Or do I have to explicitly add positive each time? as in

restart;
_Envsignum0:=1;
fy:=1/2*(a^2/y^2+2*a*b/y-4*a*c/y+b^2-4*b*c+4*c^2+2*a)^(1/2);
limit(diff(y*fy,y),y = 0,right) assuming real,positive;

The problem with adding assuming real,positive is that it applies to all variables in the expression. I only wanted those that has signum on them, to be replaced by 1.

Maple 2022.2 windows 10

Dear All

Same calculation, but Maple gave 2 different results, when I used 2 different input methods, using palettes and through Maple Tutors, respectively (image). Can someone explain to me the reason?

Dear everyone.

Please suggest me how to choose a suitable function (g(x)) so that the convergence property of the following improper integral can be checked by the comparison method:

Hi,

I just started to try out maple, as I'm testing out some software. So far it's been fairly easy to work in. I have ran into this interesting solution however

The issue I'm having is that the solution should not be... whatever that is. It should result in, off the top of my head, 2 or 4 numbers, and I'm only interested in one of them. None of the above is the answer to my question however. I don't know exacty what I'm supposed to do to get to that point. looking up the "RootOf" part on the support page didn't really explain it all that well.