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how to plot the drivative ?
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s= [0,5*10^-2,1*10^-1,1.5*10^-1,2*10^-1,2.5*10^-1,3*10^-1,3.5*10^-1,4*10^-1,4.5*10^-1,5*10^-1,5.5*10^-1,6*10^-1,6.5*10^-1,7*10^-1,7.5*10^-1,8*10^-1,8.5*10^-1,9*10^-1,9.5*10^-1,9.9*10^-1,9.99*10^-1,1,1,1,1,1];
omega= [3.74*10^-1, 3.8*10^-1,3.87*10^-1,3.94*10^-1,4.02*10^-1,4.11*10^-1,4.2*10^-1,4.29*10^-1,4.4*10^-1,4.51*10^-1,4.64*10^-1,4.78*10^-1,4.94*10^-1,5.12*10^-1,5.33*10^-1,5.57*10^-1,5.86*10^-1,6.23*10^-1,6.72*10^-1,7.46*10^-1,8.71*10^-1,9.56*10^-1,9.68*10^-1,9.72*10^-1,9.75*10^-1,9.8*10^-1,9.86*10^-1];
Z1= 1+((1-(s.^2)).^(1/3)).*(((1+s).^(1/3))+(1-s).^(1/3));
Z2= sqrt(3*(s.^2)+(Z1.^2));
Ri= 3+Z2-sqrt((3-Z1).*(3+Z1+2.*Z2));R= 3+Z2+(sqrt((3-Z1).*(3+Z1+2.*Z2)));
Wi= (s+((Ri).^(3/2))).^-1;
WR= (s+((R).^(3/2))).^-1;
Rlr= 2*(1+cos((2/3)*acos(-s)));
Wlr= (s+((Rlr).^2)).^-1;
plot(s,Wi,'r');
hold on
plot(s,WR,'y'),plot(s,Wlr,'b'),plot(s,omega,'g');
hold off
xlabel('spin'),ylabel('angular velocity'),legend('r-prograde Isco angular velocity','y-retrograde ISCO angular velocity','b-LR angular velocity','g-given angular velocity');
y= diff(Wi);
s=diff(s);
c=diff(omega);
plot(s,y,'r');
how can I plot this ? because it doesn't give me to plot y over s
3 Kommentare
VBBV
am 9 Okt. 2020
Bearbeitet: VBBV
am 9 Okt. 2020
you are using hold off in your program. So its plotting only the last figure. Use the legend function in the last line preferably to match the variables. You are taking the diff of the vector s . The max value in s is 0.05
s= [0,5*10^-2,1*10^-1,1.5*10^-1,2*10^-1,2.5*10^-1,3*10^-1,3.5*10^-1,4*10^-1,4.5*10^-1,5*10^-1,5.5*10^-1,6*10^-1,6.5*10^-1,7*10^-1,7.5*10^-1,8*10^-1,8.5*10^-1,9*10^-1,9.5*10^-1,9.9*10^-1,9.99*10^-1,1,1,1,1,1,1];
omega= [3.74*10^-1, 3.8*10^-1,3.87*10^-1,3.94*10^-1,4.02*10^-1,4.11*10^-1,4.2*10^-1,4.29*10^-1,4.4*10^-1,4.51*10^-1,4.64*10^-1,4.78*10^-1,4.94*10^-1,5.12*10^-1,5.33*10^-1,5.57*10^-1,5.86*10^-1,6.23*10^-1,6.72*10^-1,7.46*10^-1,8.71*10^-1,9.56*10^-1,9.68*10^-1,9.72*10^-1,9.75*10^-1,9.8*10^-1,9.86*10^-1,9.92*10^-1];
Z1= 1+((1-(s.^2)).^(1/3)).*(((1+s).^(1/3))+(1-s).^(1/3));
Z2= sqrt(3*(s.^2)+(Z1.^2));
Ri= 3+Z2-sqrt((3-Z1).*(3+Z1+2.*Z2));R= 3+Z2+(sqrt((3-Z1).*(3+Z1+2.*Z2)));
Wi= (s+((Ri).^(3/2))).^-1;
WR= (s+((R).^(3/2))).^-1;
Rlr= 2*(1+cos((2/3)*acos(-s)));
Wlr= (s+((Rlr).^2)).^-1;
plot(s,Wi,'r');
hold on
plot(s,WR,'y'),plot(s,Wlr,'b'),plot(s,omega,'g');
hold on
xlabel('spin'),ylabel('angular velocity'),legend('r-prograde Isco angular velocity','y-retrograde ISCO angular velocity','b-LR angular velocity','g-given angular velocity');
y= diff(Wi);
s=diff(s);
c=diff(omega);
plot(s,y,'r');
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