Andiguys

100 Reputation

5 Badges

1 years, 271 days

MaplePrimes Activity


These are questions asked by Andiguys

How can I display numerical values alongside a plot as shown in the sample below? What is the syntax?

Q_legend.mw

I want to present my regional plot similar to the sample shown, using appropriate legends and labels. What syntax should I use to achieve this? Also, the axis labels need to be clear and bold, as they currently appear faded. What modifications should I make in the syntax?

Q1.mw

SAMPLE:

I would like to express the decision variables Pn_W,w_W,Ce_W,i1_W,Pn_D,w_D,Ce_D...other variables...​ in a compact form. Since their analytical expressions are lengthy, I want to identify terms and define appropriate composite parameters to simplify their representation.

Q_shorten_1.mw

For example ,  Suppose the original expression is: q := ((Cn - a)^2 + (P - d - b)*x^2 + Cn - a - b)/y(Cn - a)^2

Lets say Cn - a =X , P - d - b =S

Then the expression can be rewritten as: q = (X^2 + S*x^2 + X - b)/yX^2

I’m having trouble solving this. Any suggestions would be helpful.

NULL

restart

``

with(Optimization); with(plots); with(Student[VectorCalculus]); with(LinearAlgebra)

``

ineq := simplify((Cr*rho0*t*(Cr*alpha*b-alpha-1)*d^2+((alpha*((-g*i2+a)*Cr+2*Crm+2*c+3*t-2*Pr)*Cr*b+((g*i2-a)*Cr-2*Crm-2*c-2*t+2*Pr)*alpha+(g*i2-a)*Cr-2*t)*rho0+(2*(Cr*b-1))*(sigma*t+Cn-Pr+delta-1))*d+(alpha*((-g*i2+a)*Cr+2*Crm+2*c+2*t-2*Pr)*b+2*g*i2-2*a)*rho0+2*b*(sigma*t+Cn-Pr+delta-1))^2 > (((alpha*Cr*((-g*i2+a)*Cr+2*Crm+2*c-2*Pr)*b+((g*i2-a)*Cr-2*Crm-2*c+2*Pr)*alpha-(-g*i2+a)*Cr)*rho0+(2*(Cr*b-1))*(delta+Cn-Pr-1))*d+(alpha*((-g*i2+a)*Cr+2*Crm+2*c-2*Pr)*b+2*g*i2-2*a)*rho0+2*b*(delta+Cn-Pr-1))^2)

(((alpha*Cr*((-g*i2+a)*Cr+2*Crm+2*c-2*Pr)*b+((g*i2-a)*Cr-2*Crm-2*c+2*Pr)*alpha-(-g*i2+a)*Cr)*rho0+2*(Cr*b-1)*(delta+Cn-Pr-1))*d+(alpha*((-g*i2+a)*Cr+2*Crm+2*c-2*Pr)*b+2*g*i2-2*a)*rho0+2*b*(delta+Cn-Pr-1))^2 < (Cr*rho0*t*(Cr*alpha*b-alpha-1)*d^2+((alpha*((-g*i2+a)*Cr+2*Crm+2*c+3*t-2*Pr)*Cr*b+((g*i2-a)*Cr-2*Crm-2*c-2*t+2*Pr)*alpha+(g*i2-a)*Cr-2*t)*rho0+2*(Cr*b-1)*(sigma*t+Cn-Pr+delta-1))*d+(alpha*((-g*i2+a)*Cr+2*Crm+2*c+2*t-2*Pr)*b+2*g*i2-2*a)*rho0+2*b*(sigma*t+Cn-Pr+delta-1))^2

(1)

  

``extra := indets(ineq,And(name,Not(constant))) >~ 0;

{0 < Cn, 0 < Cr, 0 < Crm, 0 < Pr, 0 < a, 0 < alpha, 0 < b, 0 < c, 0 < d, 0 < delta, 0 < g, 0 < i2, 0 < rho0, 0 < sigma, 0 < t}

(2)

 

(solve({ineq}, t) assuming extra[]);

 

``

Download Q_solve.mw

I require the condition for equations  C1<C2<C4​, with all parameters strictly positive and subject to the constraint t > t1​.
I want to solve for the variables t and s. Specifically, what are the analytical conditions on t that ensure C2>C1​, and what are the analytical conditions on s that ensure C4 > C2 >C1​ ?

I attempted to solve this , but I keep encountering errors.
Q_solving_t_and_s.mw

1 2 3 4 5 6 7 Last Page 1 of 12