Andiguys

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These are questions asked by Andiguys

Simplifying the Expression?...

Asked: Andiguys 75 Product: Maple 2019

Yesterday at 1:50 AM

2 1

While solving for i1 encounter too many terms. How can I simplify it so that only " Pn,Pr and w" remain, with all other variables grouped into constants, so that the equation for the optimal i1 becomes small and manageable?

(1)

Pi1 := (w-i1)*(1/2+(i1-i2)/(2*tau))*(1-(Pn-Pr)/(1-delta))+(s-i1-Crr)*(1/2+(i1-i2)/(2*tau))*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+Ce*rho0*(((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)*eta+1-(Pn-Pr)/(1-delta))

(w-i1)*(1/2+(1/2)*(i1-i2)/tau)*(1-(Pn-Pr)/(1-delta))+(s-i1-Crr)*(1/2+(1/2)*(i1-i2)/tau)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+Ce*rho0*(((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)*eta+1-(Pn-Pr)/(1-delta))

(2)

-(1/2+(1/2)*(i1-i2)/tau)*(1-(Pn-Pr)/(1-delta))+(1/2)*(w-i1)*(1-(Pn-Pr)/(1-delta))/tau-(1/2+(1/2)*(i1-i2)/tau)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)+(1/2)*(s-i1-Crr)*((Pn-Pr)/(1-delta)-(-beta*i1*upsilon+Pr)/delta)/tau+(s-i1-Crr)*(1/2+(1/2)*(i1-i2)/tau)*beta*upsilon/delta+Ce*rho0*beta*upsilon*eta/delta = 0

(3)

(4)

Error, (in simplify/do) invalid simplification command

Download Q_Simplify.mw

Problem solving an inequality...

Asked: Andiguys 75 Product: Maple 2019

September 20 2025

1 1

I need to isolate i1 and move the remaining terms to the other side. However, I’m encountering an error while doing this.

Note: All parameters are non-negative (positive or equal to zero).

Attaching sheet: Question_Isolate_i1.mw

Showing error will solving KKT equations...

Asked: Andiguys 75 Product: Maple 2019

August 19 2025

1 0

I’m getting an error while solving the equations derived from the KKT conditions.
What syntax modifications should I make?
The decision variables are p1 and pr, with two constraints.

sheet: Q1_solve_equation.mw

How to Adjust Z-Axis Range ?...

Asked: Andiguys 75 Product: Maple 2019

August 11 2025

2 3

In the 3D figure, the z-axis currently extends only to zero; please extend it to include positive values. Also help needed in setting the optimal point which is not clearly visible now—how to adjust the view and labeling to highlight only its z-value. How can we Improve the overall clarity and positioning of the figure to enhance visual readability.

Q_figure.mw

Download Q_figure.mw

Error while solving?...

Asked: Andiguys 75 Product: Maple 2019

August 06 2025

1 7

Getting an error while solving. Can we get a condition like  delta ( > or <)  delta3 × constant?
Note: All parameters are positive and greater than zero. tau, tau1, delta, delta3, delta0 are between 0 and 1.

ineq := (1-delta-tau1)*d*Cv+w*delta*d+Rm*tau1*d+s2*d*(delta0-delta-tau1)+g1*tau1^2*d^2+g2*delta^2*d^2 <= R0m*tau1^2*d^2+(1-delta[3]-tau1)*d*Cv+w*delta[3]*d+s2*d*(delta0-delta[3]-tau1)+g2*(delta[3]+tau1)^2*d^2

(1-delta-tau1)*d*Cv+w*delta*d+Rm*tau1*d+s2*d*(delta0-delta-tau1)+g1*tau1^2*d^2+g2*delta^2*d^2 <= R0m*tau1^2*d^2+(1-delta[3]-tau1)*d*Cv+w*delta[3]*d+s2*d*(delta0-delta[3]-tau1)+g2*(delta[3]+tau1)^2*d^2

(1)

>	temp := collect(ineq,delta);

g2*delta^2*d^2+(-Cv*d-d*s2+d*w)*delta+(1-tau1)*d*Cv+Rm*tau1*d+s2*d*(delta0-tau1)+g1*tau1^2*d^2 <= R0m*tau1^2*d^2+(1-delta[3]-tau1)*d*Cv+w*delta[3]*d+s2*d*(delta0-delta[3]-tau1)+g2*(delta[3]+tau1)^2*d^2

(2)

>	new := simplify(temp - remove(depends,lhs(temp),delta) - select(depends,rhs(temp),delta));

-d*(d*g2*delta[3]^2+(2*d*g2*tau1-Cv-s2+w)*delta[3]+(-delta^2*g2+g2*tau1^2)*d+(-w+Cv+s2)*delta+(-Cv-s2)*tau1+s2*delta0+Cv) <= -d*(d*(g1-R0m)*tau1^2+(-Cv+Rm-s2)*tau1+s2*delta0+Cv)