Proof that each stage is able to fix the inequality in that method.

Proof that each stage is able to fix the inequality in that method.

Please wait until published.

Basic idea: Use the vector that tend to infinitely (but finite) near 0. (extends small region.)
Basic idea(2): Parallel normal vector can be used to move projected vector.
Basic idea(3): [-b+epsilon/|t| b',P][t tx]<=epsilon b', solvee is forall s>0, s*x_0 so at point t (out of epsilon), solvee guarantees inner point.
N.B.: If we don't solve equality conditions first, because the volume vanished, the method fails. And after each stage, the result have multiplied orthogonal matrix with n free dimensions with suitable fixes, have to have volumes. Even if so, if fixed okay, if not so, last a few stage of that, the method should fixes them.
N.B.: accuracy for solving stable, we can only use about 1/4 of calculating.