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mmcdara

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8 years, 123 days
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These are questions asked by mmcdara

A few problems with limit: how to fix th...

mmcdara 6630 Maple 2015
integration eval limit
Yesterday at 11:07 AM
1 1

It seems that Maple needs more help than necessary:

> 

restart:
> 

kernelopts(version)

`Maple 2015.2, APPLE UNIVERSAL OSX, Dec 20 2015, Build ID 1097895`

 (1)
> 

expr:= A+B*limit(f(x), x=+infinity);
eval(expr, limit(f(x), x=+infinity)=1)

A+B*(limit(f(x), x = infinity))

  

A+B

 (2)
> 

expr:= A+B*limit(2*f(x), x=+infinity);

eval(expr, limit(f(x), x=+infinity)=1);     # Shouldn't this return A+2*B
eval(expr, limit(2*f(x), x=+infinity)=2);   # Can I avoid doing this?

A+B*(limit(2*f(x), x = infinity))

  

A+B*(limit(2*f(x), x = infinity))

  

A+2*B

 (3)
> 

expr:= A+B*limit(f(x)^2, x=+infinity);

eval(expr, limit(f(x), x=+infinity)=1);     # Shouldn't this return A+B
eval(expr, limit(f(x)^2, x=+infinity)=1);   # Can I avoid doing this?

A+B*(limit(f(x)^2, x = infinity))

  

A+B*(limit(f(x)^2, x = infinity))

  

A+B

 (4)
> 

expr:= A+B*limit(2*f(x)^2, x=+infinity);

eval(expr, limit(f(x)^2, x=+infinity)=1);    # Shouldn't this return A+2*B
eval(expr, limit(2*f(x)^2, x=+infinity)=2);  # Can I avoid doing this?

A+B*(limit(2*f(x)^2, x = infinity))

  

A+B*(limit(2*f(x)^2, x = infinity))

  

A+2*B

 (5)
 

 

Download limits.mw

Why don't the commands labelled "Shouldn't this return.." do the job?

TIA

Why do I get this unevaluated expression...

mmcdara 6630 Maple 2015
integral substitution indefinite-integration
September 21 2024
1 12

I have an expression equal to the sum of N terms of the form Int(fn=1..N(x), x) and I want to replace each fn(x) by its Taylor (or series) expansion.

When the integrals are definite, like J1 below, I can easily obtain a new expression (K1) where the integrand has been replaced by some expansion.
But when the integral is indefinite, like J2, I get an evaluated expression for K2.

It seems I have to do some gymnastic (J3 --> K3) to get what I want

> 

restart
> 

J1 := Int(sin(p*x), x=0..1);
K1 := eval(J1, Int = ((a, b) -> Int(mtaylor(a, x=0, 5), b)));

Int(sin(p*x), x = 0 .. 1)

  

Int(p*x-(1/6)*p^3*x^3, x = 0 .. 1)

 (1)
> 

# undefined integration

J2 := Int(sin(p*x), x);

`Expected result` = Int(p*x-(1/6)*p^3*x^3, x);

K2 := eval(J2, Int = ((a, b) -> Int(mtaylor(a, x=0, 5), b)));

Int(sin(p*x), x)

  

`Expected result` = Int(p*x-(1/6)*p^3*x^3, x)

  

eval(Int(sin(p*x), x), {Int = (proc (a, b) options operator, arrow; Int(mtaylor(a, x = 0, 5), b) end proc)})

 (2)
> 

# undefined integration using Intat

J3 := Intat(op(1, J2), op(2, J2)=y);
eval(%, Intat = ((a, b) -> Intat(mtaylor(a, x=0, 5), b))):

K3 := IntegrationTools:-Change(convert(%, Int), y=x, x)

Intat(sin(p*x), x = y)

  

Int(p*x-(1/6)*p^3*x^3, x)

 (3)
 

 

Download Integration.mw

Why do I get this unevaluatedform for K2?
Do I have to use Intat to get K3?

Thanks in advance

Why is orthopoly not seen as a package w...

mmcdara 6630 Maple 2015
package procedure orthopoly
August 26 2024
1 6


For years I observe that package orthopoly is not considered as a package within a procedure.
Finally I have decided to ask for clarifications: Can someone explain me why procedure f generates an error?
 

> 

kernelopts(version)

`Maple 2015.2, APPLE UNIVERSAL OSX, Dec 20 2015, Build ID 1097895`

 (1)


Without any procedure

> 

restart
> 

H(2, x)

H(2, x)

 (2)
> 

with(orthopoly):
> 

H(2, x)

4*x^2-2

 (3)


Within a procedure

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restart
> 

type(orthopoly, package)

true

 (4)
> 

f := proc(m)
  uses orthopoly:
  H(m, x)
end proc:

Error, `orthopoly` is not a module or member

  
> 

g := proc(m)
  orthopoly:-H(m, x)
end proc:

g(2)

4*x^2-2

 (5)
> 

 


Download meaning.mw

TIA

 

How to upload a large zip file?...

mmcdara 6630 MaplePrimes
zip attachment
August 20 2024
1 3


A few times ago I asked a question about the best way to upload a bunch of files and was told that I had to create a zip file and upload it.

The post I want to create is about the packing of "balls" in "unit boxes" (in arbitrary dimension). I have about 10 Maple worksheets and more than one thousand result files (likely about a hundred of hours of computation).
The size of the zip file is about 260 Mb and the link cannot be inserted (it does not even appear in the list of the uploadable files).

What do you recommend?

TIA

What is the best way to upload several m...

mmcdara 6630 MaplePrimes
attachment
July 08 2024
0 2

If I'm not mistaken Mapleprimes doesn't accept m files nor folders.

TIA

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