LaTeX
\begin{bmatrix}
0.1 & 0.1\\
0.9 & 0.9\\
\end{bmatrix}
I was reviewing linear algebra again and decided to rummage around in Markov matrices to see what might be learned.
#include <stdio.h> double x=11.0; double y=23.40; int main ( int argc, char* argv){ double xi=x; double yi=y; printf(" %f %f \n",x,y); while((x-y)>0.000001 | (x-y)<-0.000001){ if (x==y){return 1;} x=x+(yi*9.0)/10.0; y=y+(xi*9.0)/10.0; x=x-(xi*9.0)/10.0; y=y-(yi*9.0)/10.0; yi=y;xi=x; printf(" %f %f \n",x,y); } }
This is just to see what happens when it is only slightly less than singular.
import numpy from numpy import linalg x=11.1 y=24.2 J=numpy.matrix([[0.1, 0.1001],[0.9,0.8999]]) K=numpy.matrix([[x],[y]]) print J**50 print linalg.solve(J,K) print linalg.det(J) print linalg.eig(J)
I find this particular matrix interesting because it oscillates and I am calling it "TWANG". The relationships can be adjusted to produce a damped oscillation at various rates, and it does function as an infinite series.
I think it might even have something to do with the rightful King of the wholly dark and vector of time's living light.
1 comments:
professor that is so true about the truth. it is king of the holy oops wholly dark-we can't see it but we know what direction the living light is travelling in, sort of like chasing after a deceased pianist.
love and light and hugs.
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