Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Please help me.I don't know how to achieve the following iteration relation by maple code.iterative relationship

 

 

In a Maple Primes reply by Joel Riel on Sept. 14, 2011 he included the following command referring to warnings issued from a dsolve, numeric command having events containing a halt action:

_Env_in_maplet := true:  # incantation to suppress integrator warnings

Where can if find explanatory help for his command and any others of a similar nature?

m that i guess is genus,

but if i do not know genus number, how can i calculate with genus function

genus(y^m-(x...., x, y);

when i change m only the genus number is also changing

is my function wrong?

can i use this as a verification?

if m i set is 3 and then genus(...) result is 3

if result is equal to input 3, then it is correct function?

is hilbert series only for genus 0 only?

i got error

Error, (in Groebner:-Basis) the generators are not polynomials with respect to, {a, b, c, d}

how can i do this GIFs with maple ?

I am getting the error that maple was unable to allocate enough memmory for the computation. I have seen that some of the values could have been stored in a remember table so that they are accessed whenever needed. I am however using arrays and maple cannot tell when the entries in an array change, how about option cache? can that be useful? if not, how can I optimize my storage space?

in internet or maple, is there a neural network package in maple?

i find example link after googled, however, still feeling not easy to apply to data.

is there the most simplest version for two columns of data ?

which algorithm can be used to mining data set in maple after feature extraction

hope systematic and automatic doing this instead of using eyes

 

i feel derived attributes are unlimited, how to know sufficient?

in real practice, 

what is application of the cycles in algcurves[homology] ?

is there any book teaching about the use of this function in maple?

> restart:with(plots):blt:=7:

 

 

> lambda:=2:m:=3:s:=1:

> Eq1:=(diff(f(eta),eta,eta,eta))+(f(eta)*(diff(f(eta),eta,eta)))-((diff(f(eta),eta))^2)+lambda*(((f(eta)*(diff(f(eta),eta,eta,eta))))-2*(diff(f(eta),eta))*(diff(f(eta),eta,eta,eta))^2)-(M/(1+m^2))*((diff(f(eta),eta)+ms))=0;

 

>

> Eq2:=(diff(h(eta),eta,eta))+(f(eta)*(diff(h(eta),eta)))-((diff(f(eta),eta))*(h(eta)))+lambda*(((f(eta)*(diff(h(eta),eta,eta,eta))))+(h(eta)*(diff(f(eta),eta,eta,eta)))+(diff(f(eta),eta,eta))*(diff(h(eta),eta))-2*(diff(f(eta),eta))*(diff(h(eta),eta,eta))+(M/(1+m^2)))*(m*(diff(f(eta),eta)-h))=0;

 

>

> Eq3:=((f(eta))*(diff(theta(eta),eta)))+Pr*((diff(theta(eta),eta,eta)))=0;

 

>

> bcs1 := f(0) = 0, (D(f))(0) = 1, (h)(0) = 0, (theta)(0) = 1, (D(f))(blt) = 0,  h(blt) = 0, theta(blt) = 0, D(D(f))(blt) = 0, (D(h))(blt)=0;

 

>

> L := [1,2,3];

 

> for k to 3 do R := dsolve(eval({Eq1, Eq2, Eq3, bcs1}, M = L[k]), [f(eta),h(eta),theta(eta)], numeric, maxmesh=10000, output = listprocedure);;Y || k := rhs(R[3]); YA || k := rhs(R[6]);YB || k := rhs(R[5]);YC || k := rhs(R[4]);YD || k := rhs(R[7]);end do:

>

 

>

>

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

i want a scheme of fractional differential equation so that i solve my questions and make a code of it.

please provide me the scheme

I was learning about Maple, but I do not understand this code below. This does not look correct.

http://www.maplesoft.com/support/help/Maple/view.aspx?path=Task/ConvertExpressionToFunction

When I type it on my worksheet, I get these errors

 

 

Sometimes I wonder if any one at Maplesoft actually looks at their own help web pages and try to use them, or is just the poor users who do that.

 

restart;
digit := 15;
F[0] := fw;
F[1] := delta*F[2]+epsilon;
F[2] := A;
T[0] := B;
T[1] := -1;
a := 0.01;
m := 1;
M := 1;
lambda := 1;
b := 1;

fw := 1;
epsilon := 1;
delta := 1;
Pr := 6;
Ec := 1;
R := 1;
for k from 0 to 7 do F[k+3] := (a*(sum((i+1)*(i+2)*F[i+2]*(k-i+1)*T[k-i+1], i = 0 .. k))-m(1+a*T[k]-(sum((i+1)*F[i+1]*(k-i+1)*F[k-i+1], i = 0 .. k))+a*(sum(sum(T[i]*(r-i+1)*F[r-i+1]*(k-r+1)*F[k-r+1], i = 0 .. r), r = 0 .. k)))-M*(1-(k+1)*F[k+1]+a*T[k]-a*(sum(T[i]*(k-i+1)*F[k-i+1], i = 0 .. k)))-((m+1)*(1/2))*(sum((i+1)*(i+2)*F[i+2]*F[k-i], i = 0 .. k)+a*(sum(sum(T[i]*F[k-r]*(r-i+1)*(r-i+2)*F[r-i+2], i = 0 .. r), r = 0 .. k)))-lambda*(T[k]+a*(sum(T[i]*T[k-i], i = 0 .. k))))/((k+1)*(k+2)*(k+3)); T[k+2] := (-(1+b/Pr)*(k+1)*T[k+1]-b*(sum(T[i]*(k-i+1)*T[k-i+1], i = 0 .. k))-M*Ec*(1-(2*(k+1))*(k+2)*F[k+2])-Ec*(1+M)*(sum((i+1)*(i+2)*F[i+2]*(k-i+1)*(k-i+2)*F[k-i+2], i = 0 .. k))-(1-2*m)*(sum(T[i]*(k-i+1)*F[k-i+1], i = 0 .. k))-((m+1)*(1/2))*(sum(F[i]*(k-i+1)*T[k-i+1], i = 0 .. k)))/((4/3)*R*(k+1)*(k+2)) end do;
FF := sum(F[j]*y^j, j = 0 .. 5);
TT := sum(T[j]*y^j, j = 0 .. 5);
with(numapprox); pade(FF, y, [4, 4]);
pade(diff(FF, y), y, [4, 4]);
pade(TT, y, [4, 4]);
solve({limit(pade(TT, y, [4, 4]), y = infinity) = 0, limit(pade(diff(FF, y), y, [4, 4]), y = infinity) = 1}, [A, B]);

 

If an expression is of the form x^3 + x^2 + x + z + y^3 + y^2 + y + xy=0 ,

How to represent it in the following form,

           x^3 + y^3 + x^2 + y^2 + xy + x + y + z=0 ?

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