Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

How to generate any possible points projective plane for sets of numbers?

bonus is any possible field

Hi Users!

Hope you all are fine here. I want to draw a graphs like this

Here 

y(x)=21.70160211*x^2-35.93499295*x+19.00000000;

and 

y(x-0.8)=21.70160211*(x-.8)^2-35.93499295*x+47.74799436

Please help me how to make this for x when y(x) on x-axis and y(x-0.8) on y-axis. I am waiting your positive response. 

Thanks

 

I computed A and B matrices, now I want to write it in state space reperentation.

diff(x(t), t) = A*x(t)+B*u

where

diff(x(t), t) = (Vector(6, {(1) = diff(alpha(t), t), (2) = diff(alpha(t), t, t), (3) = diff(y(t), t), (4) = diff(y(t), t, t), (5) = diff(theta(t), t), (6) = diff(theta(t), t, t)}))

So I calculated A*x(t)+B*u and got this:

(Vector(6, {(1) = diff(alpha(t), t), (2) = diff(alpha(t), t, t), (3) = diff(y(t), t), (4) = diff(y(t), t, t), (5) = diff(theta(t), t), (6) = diff(theta(t), t, t)})) = (Vector(6, {(1) = 0, (2) = k/(J*R), (3) = 0, (4) = k/(M*R*r), (5) = 0, (6) = -k/(M*R*r*l)})).e+(Vector(6, {(1) = diff(alpha(t), t), (2) = -k^2*(diff(alpha(t), t))/(J*R), (3) = diff(y(t), t), (4) = -k^2*(diff(y(t), t))/(M*R*r^2)-m*g*theta(t)/M, (5) = diff(theta(t), t), (6) = k^2*(diff(y(t), t))/(M*R*r^2*l)+(M+m)*g*theta(t)/(M*l)}))

where u=e but the formation is not A*x(t)+B*u anymore. How can I enforce Maple to output the result in the form of A*x(t)+B*u?

‏‏‏‏I want to solve partial differential equation by adomian decomposition method, I have a mistake  in define the nonlinear term, then  the calculations of integral does not display , can anyone help me please

‏‏ADM_1.mw

I get this message everytime I am trying to open my worksheet: "Recover Corrupt File and Save As"

2.G_anden_aflevering.mw

 

Is it possible to save table settings (and set a new default), so I dont have to manually change the "indent" number in every table i make in a document?

 

Its not possible to save the settings in the table menu itself, and there is no "table" option under preferences.

Almost Happy maple user on macbook pro 18

 

I want to solve system of nonlinear ordinary differential equations numerically using the variational finite
element method (FEM). is it possible to solve on Maple? If anybody have a idea please share with me. I attach the image of my problem which I am tryimng to solve.

1) start cmaple.exe;

2) type "proc(x, x);", and watch Maple die;

3) Request a refund from Maplesoft.

Hello all,

I am presenting some results in a small meeting tomorrow and I have a rather large symbollic matrix that I was hoping to be able to view in a more readable form (once you see my code, you will see what I mean). This should be a simple fix. Furthermore, when I use the Latex command to recieve code to import into latex, its not working properly, which makes me think I made some kind of mistake. I am really just trying to get this matrix in its full for so that it is easy for other people to read. Thanks for any help.Turns_Latex.mw
 

restart

with(LinearAlgebra)``

A := Matrix(5, 5, [0, 0, 0, 0, 0, -AXX*UU-AXY*VV-AXZ*WW, AXX, AXY, AXZ, 0, -AXY*UU-AYY*VV-AYZ*WW, AXY, AYY, AYZ, 0, -AXZ*UU-AYZ*VV-AZZ*WW, AXZ, AYZ, AZZ, 0, -AXX*UU*UU-AYY*VV*VV-AZZ*WW*WW-(AXY*UU*VV+AXZ*UU*WW+AYZ*VV*WW)*2+(-E+2*UVW)*AE, -AE*UU-VL2, -AE*VV-VL3, -AE*WW-VL4, AE])

A := subs(VL2 = -AXX*UU-AXY*VV-AXZ*WW, VL3 = -AXY*UU-AYY*VV-AYZ*WW, VL4 = -AXZ*UU-AYZ*VV-AZZ*WW, A)

A := subs(AXX = mu*(zeta__x^2+zeta__y^2+zeta__z^2+(1/3)*`#msup(mi("\`zeta__x\`"),mn("2"))`), AYY = mu*(`ζ__x`^2+`ζ__y`^2+`ζ__z`^2+(1/3)*`#msup(mi("\`ζ__y\`"),mn("2"))`), AZZ = mu*(`ζ__x`^2+`ζ__y`^2+`ζ__z`^2+(1/3)*`#msup(mi("\`ζ__z\`"),mn("2"))`), A)

A := subs(AXY = (1/3)*mu*zeta__x*zeta__y, AXZ = (1/3)*mu*zeta__x*zeta__z, AYZ = (1/3)*mu*zeta__y*zeta__z, A)

A := subs(UU = u, VV = v, WW = w, A)

A := subs(AE = mu*gamma*(`ζ__x`^2+`ζ__y`^2+`ζ__z`^2)/Pr, A)

Matrix(%id = 18446744078321522678)

(1)

latex(A)

 \left[ \begin {array}{ccccc} 0&0&0&0&0\\ \noalign{\medskip}-\mu\,
 \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt
\#msup(mi("zeta}}_{\mbox {{\tt x"),mn("2"))}}}/3 \right) u-1/3\,\mu\,
\zeta_{x}\,\zeta_{y}\,v-1/3\,\mu\,\zeta_{x}\,\zeta_{z}\,w&\mu\,
 \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt
\#msup(mi("zeta}}_{\mbox {{\tt x"),mn("2"))}}}/3 \right) &1/3\,\mu\,
\zeta_{x}\,\zeta_{y}&1/3\,\mu\,\zeta_{x}\,\zeta_{z}&0
\\ \noalign{\medskip}-1/3\,\mu\,\zeta_{x}\,\zeta_{y}\,u-\mu\, \left( {
\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt
\#msup(mi("zeta}}_{\mbox {{\tt y"),mn("2"))}}}/3 \right) v-1/3\,\mu\,
\zeta_{y}\,\zeta_{z}\,w&1/3\,\mu\,\zeta_{x}\,\zeta_{y}&\mu\, \left( {
\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt
\#msup(mi("zeta}}_{\mbox {{\tt y"),mn("2"))}}}/3 \right) &1/3\,\mu\,
\zeta_{y}\,\zeta_{z}&0\\ \noalign{\medskip}-1/3\,\mu\,\zeta_{x}\,\zeta
_{z}\,u-1/3\,\mu\,\zeta_{y}\,\zeta_{z}\,v-\mu\, \left( {\zeta_{x}}^{2}
+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{\mbox
{{\tt z"),mn("2"))}}}/3 \right) w&1/3\,\mu\,\zeta_{x}\,\zeta_{z}&1/3\,
\mu\,\zeta_{y}\,\zeta_{z}&\mu\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}
+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{\mbox {{\tt
z"),mn("2"))}}}/3 \right) &0\\ \noalign{\medskip}-\mu\, \left( {\zeta_
{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}
_{\mbox {{\tt x"),mn("2"))}}}/3 \right) {u}^{2}-\mu\, \left( {\zeta_{x
}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{
\mbox {{\tt y"),mn("2"))}}}/3 \right) {v}^{2}-\mu\, \left( {\zeta_{x}}
^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{
\mbox {{\tt z"),mn("2"))}}}/3 \right) {w}^{2}-2/3\,\mu\,\zeta_{x}\,
\zeta_{y}\,uv-2/3\,\mu\,\zeta_{x}\,\zeta_{z}\,uw-2/3\,\mu\,\zeta_{y}\,
\zeta_{z}\,vw+{\frac { \left( -E+2\,{\it UVW} \right) \mu\,\gamma\,
 \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2} \right) }{\Pr}
}&-{\frac {\mu\,\gamma\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta
_{z}}^{2} \right) u}{\Pr}}+\mu\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2
}+{\zeta_{z}}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{\mbox {{\tt
x"),mn("2"))}}}/3 \right) u+1/3\,\mu\,\zeta_{x}\,\zeta_{y}\,v+1/3\,\mu
\,\zeta_{x}\,\zeta_{z}\,w&-{\frac {\mu\,\gamma\, \left( {\zeta_{x}}^{2
}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2} \right) v}{\Pr}}+1/3\,\mu\,\zeta_{x}
\,\zeta_{y}\,u+\mu\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}
}^{2}+\mbox {{\tt \#msup(mi("zeta}}_{\mbox {{\tt y"),mn("2"))}}}/3
 \right) v+1/3\,\mu\,\zeta_{y}\,\zeta_{z}\,w&-{\frac {\mu\,\gamma\,
 \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2} \right) w}{\Pr
}}+1/3\,\mu\,\zeta_{x}\,\zeta_{z}\,u+1/3\,\mu\,\zeta_{y}\,\zeta_{z}\,v
+\mu\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}+\mbox {{
\tt \#msup(mi("zeta}}_{\mbox {{\tt z"),mn("2"))}}}/3 \right) w&{\frac
{\mu\,\gamma\, \left( {\zeta_{x}}^{2}+{\zeta_{y}}^{2}+{\zeta_{z}}^{2}
 \right) }{\Pr}}\end {array} \right]

 

``


 

Download Turns_Latex.mwTurns_Latex.mw

 

Dear Sir

There is error appears when we solve system of differential equations contains 13 equations ,

the form of error

Error, (in DEtools/convertsys) invalid terms in sum: -9*Y[8]+2 .. Y[3]+.3*Y[6]+.4*Y[7]+3.5*Y[11]+3.5*Y[13]

 

Hint we use dsolve, numerically

How to overcome on this error 

 

Thanks

after i tryrring to instell another vergion of maple and it failed when i reinstell the older vergion of maple i get this error 
what is missing and i did wronge 

l := (n+m+sum(a[i], i = 1 .. n)+sum(b[j], j = 1 .. m))*ln(alpha)+n*ln(lambda[1])+m*ln(lambda[2])+lambda[1]*(sum(x[i], i = 1 .. n))+lambda[2]*(sum(y[j], j = 1 .. m))-(sum((2+a[i])*ln(exp(lambda[1]*x[i])-1+alpha), i = 1 .. n))-(sum((2+b[j])*ln(exp(lambda[2]*y[j])-1+alpha), j = 1 .. m));

Error, (in property/ConvertProperty) invalid input: PropRange uses a 2nd argument, b, which is missing


 

 

Even and odd complement each other

how to find other sequence which complement each other?

such as 3 sequences divided integers or 5 sequences divided whole integers

is there monomials creation method such that solve result about coefficient and power are integers when right side columns are sequences?

 

i find even multiplication numbers are always solved into integers coefficient and power.

is there any more other sequences?

if I choose six multiplication table sequence, 

what is this complement of six multiplication table sequence?

How do i change keyboard shortcuts, E.g one of my keyboard keys are broken or have stopped working. How do i redirect my shortcut to another keyboard combination or another hotkey simply.

Hello, is it possible to have a document synchronized in the same way as Onenote? We're a group of engieneer students wanting to share documents, however the only way we can figure out a way to do it. Is uploading to maplecloud groups, sharing a "base" document, and everytime someone "updates" the document you save a new one. So it kind of defeats the purpose of making it a smart idea of collaborating on one document, am i missing something or is this really how oldschool it works?

I was wondering how Maple cope with piecewise functions during forward integration and if it's preferable to use dsolve events option in place of defining a piecewise discontinuos function.

As far as I understood dsolve/events halts the integration each time an event is triggered and subsequently restarts the integration using the pre-trigger outputs as new initial conditions. I suppose that by using a piecewise, if a discontinuity is detected, dsolve proceeds exactly in the same way halting and restarting the integration.

Here a toy example of a 2D rolling dice (idea of a rolling dice from the rolling cube by @one man :P ) in which the reaction forces of the floor can be seen as function of the compenetration dice/ground

Both the appraches (events and piecewise) give the same results

falling_dice.mw

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