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Why does my procedure not work?...

Asked by: ComputerUser 535
diffalg regularchains prem
November 15 2019
0  1
with(RegularChains);
R := PolynomialRing([x, y, z]);
p1 := x^2+5-2*x*z;
p2 := z^3*y+x*y^2;
p3 := -8*z^3+3*y^2;
F := [p1, p2, p3];
MainVariable(p1, PolynomialRing([x, y, z]));
MainVariable(p1, PolynomialRing([z, y, x]));
prem(p1, p2, x);
prem(p2, p1, z);
prem(p3, p2, y);
premcustom := proc(Fparam,Gparam, xparam)
local R, G, F, lcg, lcr, dr, dg:
R := Fparam:
G := Gparam:
F := Fparam:
if degree(G,xparam) = 0 then
 print("return 0"):
 return 0:
elif degree(F, xparam) < degree(G, xparam) then
 print("return R"):
 return R:
else
 lcg := coeff(G, xparam, degree(G, xparam)):
 dg := degree(G, xparam):
 while degree(R, xparam) > degree(G, xparam) do
  lcr := coeff(R, xparam, degree(R, xparam)):
  dr := degree(R, xparam):
  R := lcg * R - lcr * G * (x^(dr - dg)):
 od:
end if:
return R:
end proc:
coeff(p1, x, degree(p1, x));
coeff(p2, x, degree(p2, x));
prem(p1,p2,x);
prem(p2,p1,z);

premcustom(p1,p2,x);
premcustom(p2,p1,z);
 
why premcustom looping?
 
is this coeff(p1, x, degree(p1, x)); wrong ?
 
should this to get real coefficient in number instead of variable and how?
 
is there equivalent function as dprem?
 
with(diffalg):with(diffalg):
FlessThanG := proc(Fparam, Gparam, PRing)
F := Fparam:
G := Gparam:
if leader(F,PRing) < leader(G,PRing) or (leader(F,PRing) = leader(G,PRing) and degree(F, leader(F,PRing)) < degree(G, leader(G,PRing))) then
 return True:
else
 return False:
end if:
end proc:
dprem := proc(Fparam, Gparam, x, PRing)
local R, theta, thetax, thetaG, F, G;
F := Fparam:
G := Gparam:
R := F:
thetax := leader(G, PRing);
while FlessThanG(R, G, PRing) or FlessThanG(G, R, PRing) do
theta := leader(R, PRing);
R := prem(R, thetaG, theta)
od:
return R:
end proc:
R := differential_ring(ranking = [[x,y,r]], derivations = [t], field_of_constants=[m,l], notation = diff):
p1 := m*x[2] + r*x;
p2 := m*y[2] + r*y - g;
p3 := x^2 + y^2 - l^2;
dprem(p1, p3, x, R);
 
 
is x[2] = diff(x,t$2) in diffalg ?
 
if not how to write in this way?
 
i had defined constant
but got error
 
Error, (in DifferentialAlgebra:-Tools:-LeadingDerivative) unknown symbol (approx. error location: [m*x[2 --> ] <-- +r*x])
 
 

How to find recurrence relation for this?...

Asked by: ComputerUser 535
recurrence
November 11 2019
0  0

https://math.stackexchange.com/questions/301068/how-do-you-find-a-corresponding-recurrence-relation-for-some-random-algorithm/301709

according to this link, how to parse or walk through the algorithm in maple to generate recurrence relation formula?

how to convert a function and differential system ...

Asked by: ComputerUser 535
matrix transition
November 01 2019
0  1

how to convert a function to transition matrix?

how to convert a differential system to transition matrix?

 

Saveplot function not refresh in for loop call...

Asked by: ComputerUser 535
export plotting
October 26 2019
0  2

I search saveplot and sleep function here

i had kept close filename function and move plot setup default to first line

but thread no sleep in maple 12

then I remove sleep and can save image file

but after I call it in a function and run a for loop for this function

the file is not updated after sleep 3 seconds 

how to run a for loop call it and it can refresh 

Lyapunov function ...

Asked by: Zeineb 530
parameters lyapunov
October 16 2019
0  0

 Dear all

Is there a nice idea to determine the Lyapunov function of the following system

Lyapunov_function.mw

Some parameters used in the code:

b fixed parameter

a any parameter in R

Many thanks for your help

 

 

How to fill in missing data with statistics?...

Asked by: ComputerUser 535
statistics distribution
October 13 2019
0  3

If I know the direction of up and down

how to control normal distribution to fill in missing data to the direction I want in maple?

just like fill in missing pixel in bitmap file.

system of ODEs: stabilizing feedback...

Asked by: Zeineb 530
October 11 2019
0  0

Hi all;

I need to compute the stabilizing feedback for the system of nonlinear ODEs

stabilizing_Feedback.mw

 

Many thanks for your help

Which Bernstein has these result?...

Asked by: ComputerUser 535
limit
October 05 2019
0  0

Second terms coefficient = 2/3*x when (....)^2

9/16*x^2 when (...)^3

64/125*x^3 when (...)^4

625/1296*x^4

Which Bernstein has these result?

Which limit function of x^n = (n^(n-1))/((n+1)^(n-1))*x^(n-1)?

how to find and calculate?

 

 

Variable disappear after read file and create thre...

Asked by: ComputerUser 535
read
October 04 2019
0  1

Variable disappear after read file and then pass parameter to create thread

 

How i can convert this mathematic code to maple...

Asked by: Dr. Abdel-karrem Alomari 5
mathematica import
September 28 2019
1  0

How i convert the following mathematica code to Maple

f1[t^m_] := Gamma [m + 1] t^(m - a[t]) /Gamma[m + 1 + a[t]];
f1[t] := Gamma [2] t^(1 - a[t]) /Gamma[2 + a[t]];

f1[p_Plus] := Map[f1, p]
f1[c_*f_] := c*f1[f] /; FreeQ[c, t]
f1[c_] := 0 /; FreeQ[c, t]

f1[x^2*t^2 + t + x]

gives

t^(1 - a[t])/Gamma[2 + a[t]] + (2 t^(2 - a[t]) x^2)/Gamma[3 + a[t]]

How to plot y=0?...

Asked by: ComputerUser 535
plot
September 28 2019
0  2

Plot([x^2, subs(x=0, 2*x)], axis[1]=[color=white]);

can not find the y=0 this red line

how to plot y=x^2 and x = 0 on the same graph to show the slope at x=0 ?

How to derive to limit definition?...

Asked by: ComputerUser 535
limit
September 28 2019
0  0

How to derive from n*x^(n-1) to limit definition ?

How to proof exp(x) is transcendental function wit...

Asked by: ComputerUser 535
homework proof
September 25 2019
0  2

How to proof exp(x) is transcendental function without using calculus?

How to convert ODE to PDE?...

Asked by: ComputerUser 535
ode pde differential-equations
September 23 2019
0  0

How to convert diff(f(t),t) + diff(g(t),t)

to diff(t(f,g), f)+ diff(t(f,g), g)

?

How to cmaple or mw file maple dualaxisplot output...

Asked by: ComputerUser 535
export plotsetup dualaxisplot
September 23 2019
0  2

How to cmaple or mw file maple dualaxisplot output to jpeg file after press and run?

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