📄 equationshigh.m
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function [res] = equationshigh(quadlimit,Icost)
% define the global paramters
global beta r
global alpha n miu miuo lambda capa
% lambda = 0.75;
% alpha = 1.2;
% beta = 0.5;
% r = 0.01;
% n = 10 ;
%
% capa = 12;
% miu = n.^(alpha-1)/(n.^(alpha-1)+2);
% miuo = n.^(alpha-1)/(n.^(alpha-1)+1);
% the right of the certain inequation
% rightvalue1 = r.^(3/2).*(1-lambda)./capa;
% rightvalue1 = alpha.*(1-lambda)+1;
rightvalue1 = lambda.*sqrt(pi)./2+(1-lambda).*Icost
% define the temp paramters
a = 0;
b = quadlimit;
m = 1000;
tol = 0.001;
% computer
[R,quad,err,h]=romber('quadequ',a,b,m,tol);
quadvalue = quad;
% [R2,quad2,err2,h2]=romber('quadequo',a,b,m,tol);
% quadvalue2 = quad2;
% leftvalue = ((quad - lambda.*sqrt(pi)./2)./(1-lambda)).^(alpha-1).*quad.*alpha.*capa;
leftvalue = quad
res=sum((leftvalue-rightvalue1).*(leftvalue-rightvalue1));
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