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mehdi jafari

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Error, (in Optimization:-NLPSolve) could...

mehdi jafari 769 Maple 2021
integration nlpsolve optimization
October 14 2022
1 6

i have a problem in an optimzation problem. in the problem using NLPSolve to find the minimum, i have an integration which i use the Int command to be solved in the optimization process, but this error occures: Error, (in Optimization:-NLPSolve) could not store Int(..) in a floating-point rtable 
please help to solve the problem, tnx in advance

> 

restart:with(LinearAlgebra):
> 

N:=3:
> 

m:=Vector([ 1 , log(x+b3) , b2/(x+b3) ]):
> 

A:=m.m^+:
> 

for i to N do
m||i:=eval(A,[x=x||i]);
od:
> 

M:=add(w||i*m||i,i=1..N-1)+(1-add(w||i,i=1..N-1))*m||N:
> 

MM:=( LinearAlgebra:-Trace(MatrixInverse(M)) ):
> 

IF1:=evalf(Int(MM,[b2=1..2,b3=1..2],method = _d01ajc,epsilon=0.001)):
> 

s:= Optimization:-NLPSolve(IF1,w1=0..1,w2=0..1,x1=1..10,x2=1..10,x3=1..10,variables=[w1,w2,x1,x2,x3],initialpoint={w1=0.6,w2=.1,x1=8,x2=7,x3=5},maximize=false,method=modifiednewton)

Error, (in Optimization:-NLPSolve) could not store Int(Int(16.6666666666666679*(-448.000000000000057*ln(7.+b3)*ln(5.+b3)+76.1999999999999886*ln(8.+b3)^2*b3^2+.199999999999999956*ln(8.+b3)^2*b3^4+.399999999999999911*ln(5.+b3)^2*b3^4+527.500000000000000*ln(5.+b3)^2+780.799999999999727*ln(8.+b3)^2+191.100000000000023*ln(7.+b3)^2+89.0999999999999943*ln(5.+b3)^2*b3^2+9.79999999999999893*ln(5.+b3)^2*b3^3+6.39999999999999858*ln(8.+b3)^2*b3^3+400.*ln(8.+b3)^2*b3+12.3000000000000025*ln(7.+b3)^2*b3^2+84.0000000000000142*ln(7.+b3)^2*b3+356.*ln(5.+b3)^2*b3+.600000000000000089*ln(7.+b3)^2*b3^3-1176.*ln(8.+b3)*ln(5.+b3)+280.*ln(8.+b ... 99999999999716*ln(7.+b3)*ln(5.+b3))^2), b2 = 1. .. 2.), b3 = 1. .. 2.) in a floating-point rtable

  
> 

 

Download LinearLog-A-Bayesian_1.mw

how to get this pde solved?...

mehdi jafari 769 Maple
pde pdsolve differential-equations
August 03 2022
1 2

how can i get this pde solved ( numeric or analytical)
 

> 

restart
> 

pde__1 := diff(z(x, t), `$`(t, 2))-(diff(z(x, t), `$`(x, 2)))+z(x, t)^2 = 6*x*t*(-t^2+x^2)+x^6*t^6

diff(diff(z(x, t), t), t)-(diff(diff(z(x, t), x), x))+z(x, t)^2 = 6*x*t*(-t^2+x^2)+x^6*t^6

 (1)
> 

conds__1 := z(x, 0) = 0, z(0, t) = 0, z(1, t) = t^3
> 

pdsolve([pde__1, conds__1])
> 

``
> 

NULL


 

Download pde.mw

complex plot of an expression in "r" and...

mehdi jafari 769 Maple
syntax complexplot plotting
July 16 2022
1 1

how can i plot this complex expression with polar plot and 3d complex plot? i want both 2d polar form and 3d plot of this.
thnx for the help

> 

restart:with(plots,complexplot,implicitplot)

[complexplot, implicitplot]

 (1)
> 

f:=(r,theta)->I*sinh(theta-Pi/6)+cos(Pi/4)=r;

proc (r, theta) options operator, arrow; I*sinh(theta-(1/6)*Pi)+cos((1/4)*Pi) = r end proc

 (2)
> 

complexplot(f(r,theta), r = 0 .. 1, theta = 0 .. 2*Pi, coords=polar);
 

Error, (in plot) incorrect first argument [1/2*2^(1/2)-Im(sinh(theta-1/6*Pi)) = Re(r), Re(sinh(theta-1/6*Pi)) = Im(r), r = 0 .. 1]

  
> 

 

Download complexplot.mw

solve nonlinear double integral and plot...

mehdi jafari 769 Maple
integration plotting
July 11 2022
1 0

hi everyone
i have a nonlinear double int which want to be solved and then plot against "z" variable.
INT_problem.mw
tnx in advance

summation problem...

mehdi jafari 769 Maple
sum product
March 28 2022
1 7

How i can i write the code for the last equation which includes summations and one product in the picture? tnx for the help.

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