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Maple Tools - Symbolic engine for SMath Studio. - Mensajes

#121 Publicado: 24/5/2013 17:33:52
Radovan Omorjan

Radovan Omorjan

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First and second order ODE examples.

ode1.pngode2.png

I do not know how to solve them in one step like. How to put sets - {} in the command?

>dsolve({D(y)(x)=x-y,y(0)=1},y(x))

Could someone give some help?

Regards,
Radovan
ode2.sm (13,69 KiB) descargado 1637 vez(es).
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#122 Publicado: 24/5/2013 19:54:08
Вячеслав Мезенцев

Вячеслав Мезенцев

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Updated. The document can not be saved. I don't know why.

plot([`in`[1], `in`[2], t=0..2*Pi], color=blue );

plot3d( `in`, x=-5..5, y=-5..5, scaling=constrained, style=patch,
orientation=[40,50], grid=[50,50], color=gray, axes=frame,
lightmodel=`light4`, projection=`normal`, shading=zgrayscale );

implicitplot3d( `in`=0, x=-2..2, y=-2..2, z=-2..2, grid=[50,50,50], orientation=[20,60],
axes=frame, lightmodel=`light4`, projection=`normal`, style=patchnogrid);

MapleWrapper_screen14.png MapleWrapper_screen15.png

F:=implicitplot3d( `in`[1]=0, x=-2..2, y=-2..2, z=-2..2, grid=[30,30,30],
style=patchnogrid ):

G:=plot3d(`in`[2], x=-2..2, y=-2..2, style=patch, color=white):

display({F,G}, orientation=[20,60], axes=box, lightmodel=`light2`,
projection=`normal`, labels=["X","Y","Z"], scaling=constrained,
tickmarks=[4,4,4] );

MaplePlot_screen1.png


[MATH]f(x;y;z)a^2*(x^2+y^2+z^2))^{-2}+(b^8*(x^8+y^8+z^8))^4-2[/MATH]

F:=implicitplot3d( `in`=0, x=-2.1..2.1, y=-2.1..2.1, z=-2.1..2.1,
grid=[50,50,50], style=patchnogrid ):

display({F}, orientation=[35,55], axes=box, lightmodel=`light4`,
projection=`normal`, labels=["X","Y","Z"], scaling=constrained,
tickmarks=[4,4,4] );

MaplePlot_screen0.png
Russia ☭ forever, Viacheslav N. Mezentsev
#123 Publicado: 25/5/2013 3:50:17
Вячеслав Мезенцев

Вячеслав Мезенцев

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Wrote

I do not know how to solve them in one step like. How to put sets - {} in the command?

>dsolve({D(y)(x)=x-y,y(0)=1},y(x))

Could someone give some help?



MaplePlot_screen2.png MaplePlot_screen3.png
Russia ☭ forever, Viacheslav N. Mezentsev
#124 Publicado: 25/5/2013 5:52:17
Radovan Omorjan

Radovan Omorjan

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Aha,...convert() was the magic word. Thank you
Strange, but this one was the only one successful

ode1.png

My other attempts in making plots and reproducing your pictures, issued an error about missing gif file in tmp folder. See the picture please

ode2-error.png

The problem of not saving pictures and SMat crash still remained.

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#125 Publicado: 25/5/2013 6:08:25
Вячеслав Мезенцев

Вячеслав Мезенцев

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Show me the log file: mvr5.txt.
Russia ☭ forever, Viacheslav N. Mezentsev
#126 Publicado: 25/5/2013 6:19:05
Radovan Omorjan

Radovan Omorjan

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Wrote

Show me the log file: mvr5.txt.


Here it is. If you want me something in particular to try, just let me know.

Regards,
Radovan


mvr5.txt (192,04 KiB) descargado 1370 vez(es).
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#127 Publicado: 25/5/2013 6:40:59
Radovan Omorjan

Radovan Omorjan

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This one is after deleting mvr5.txt and trying to make a parametric 3dplot
3dplotparam.png
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#128 Publicado: 25/5/2013 6:59:09
Вячеслав Мезенцев

Вячеслав Мезенцев

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Wrote

Wrote

Show me the log file: mvr5.txt.


Here it is. If you want me something in particular to try, just let me know.

Regards,
Radovan


Radovan, you have to change the maple-commands for each graph. In your example these commands are set incorrectly. I specifically show the commands. They need to be inserted into the settings form, as showed above.

1) Try this:

a := plot( `in`, t=0..20, x=-1.5..1.5, scaling=unconstrained, style=line,
color=blue, axes=box, labels=["t","x(t) "]):

b := coordplot(rectangular, [0..20, -1.5..1.5], linestyle=[7,7],
color=[gray,gray]):

display([a,b]);

2) projection=`normal must be projection=`normal`
Russia ☭ forever, Viacheslav N. Mezentsev
#129 Publicado: 25/5/2013 8:04:10
Radovan Omorjan

Radovan Omorjan

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I tried your suggestion (just copy/paste) and calculation take quite long (did not wait for it to finish). Just used the simple one, and it worked (the first picture). It is good enough for me .

Tried one of your examples, and typed carefully as much as I could. I did not see any mistake - but the plot did not appear (the second picture)

ode2-good-1.png3dplotparam-1.png

Regards,
Radovan
mvr5.txt (265,75 KiB) descargado 1451 vez(es).
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#130 Publicado: 25/5/2013 8:14:41
Вячеслав Мезенцев

Вячеслав Мезенцев

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Try to add with(plots): to with.inc:
Citar

with(linalg):with(inttrans):with(plots):

Russia ☭ forever, Viacheslav N. Mezentsev
#131 Publicado: 25/5/2013 8:26:25
Radovan Omorjan

Radovan Omorjan

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Wrote

Try to add with(plots): to with.inc:

Citar

with(linalg):with(inttrans):with(plots):



It worked . What was the catch?

3dplot-implicit.png
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#132 Publicado: 25/5/2013 12:26:54
Radovan Omorjan

Radovan Omorjan

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Nice

ode2-boundary.png


ode2-boundary.sm (18,63 KiB) descargado 1676 vez(es).
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
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#133 Publicado: 25/5/2013 19:40:31
Вячеслав Мезенцев

Вячеслав Мезенцев

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MaplePlot updated. Small imprоvements.

MaplePlot_screen4.png
Russia ☭ forever, Viacheslav N. Mezentsev
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Radovan Omorjan 26/5/2013 3:00:00
#134 Publicado: 26/5/2013 2:59:31
Radovan Omorjan

Radovan Omorjan

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Just to confirm. The EMPTY PLOT is now working fine. No crash of SMath at the plot inserting

maple3d.png
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#135 Publicado: 26/5/2013 4:20:20
Janusz

Janusz

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Hello,

Heartily please for the prompt, how to check in Maple that two expressions are to themselves equal. For example whether the expression under variable a is such alone as the expression under variable b?

Regards,
Janusz
#136 Publicado: 26/5/2013 6:26:32
Radovan Omorjan

Radovan Omorjan

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Wrote

Heartily please for the prompt, how to check in Maple that two expressions are to themselves equal. For example whether the expression under variable a is such alone as the expression under variable b?


I do not use maple to much (it is interesting and a fun using it in SMath ) , and someone else might give you a better solution - but this should work

[MATH=eng]e1a^2-1)*1/sqrt(a)[/MATH]

[MATH=eng]e2b-1)*(b+1)/sqrt(b)[/MATH]

[MATH=eng]maple(simplify(subs(a≡b,e1)-e2))=0[/MATH]

Regards,
Radoavn
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#137 Publicado: 26/5/2013 7:32:54
Janusz

Janusz

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Hi Radoavn,

Thank you, interesting solution, will try out it.

Regards,
Janusz
#138 Publicado: 27/5/2013 1:10:51
Вячеслав Мезенцев

Вячеслав Мезенцев

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Updated. Still can't save region.

Mostrar spoiler



MaplePlot_screen5.png
MaplePlot. Example 8.sm (4,9 KiB) descargado 1668 vez(es).
Russia ☭ forever, Viacheslav N. Mezentsev
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Radovan Omorjan 27/5/2013 4:21:00
#139 Publicado: 27/5/2013 2:22:01
Martin Kraska

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Thanks for the update.

I have still trouble with the basics. Example 2 does not work.

Here is what the log file says:

Mostrar spoiler



There are empty tmp files in the tmp dir:
tmp59BF.tmp
tmp5A0F.tmp
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
#140 Publicado: 27/5/2013 3:07:10
Вячеслав Мезенцев

Вячеслав Мезенцев

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In your example:
[MATH]`in`x^2+y^2+z^2)-1[/MATH]

but expected:

[MATH]sys(el(`in`;1);el(`in`;2);2;1):sys((x^2+y^2+z^2)-1;0;2;1)[/MATH]

we get: `in`[1]="" , `in`[2]="" - empty values (because it is not a system) and `in`=(x^2+y^2+z^2)-1 (but is missing in script)

Must be:

Mostrar spoiler


MaplePlot_screen6.png

Citar

There are empty tmp files in the tmp dir:
tmp59BF.tmp
tmp5A0F.tmp

This is normal.
Russia ☭ forever, Viacheslav N. Mezentsev
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Martin Kraska 27/5/2013 15:50:00
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