Left-hand Side Of Inequality Research Articles

Reduction of the two-spin state density matrix and evaluation of the left-hand side of the Bell-CHSH inequality

The Bell-Clauser-Horne-Shimony-Holt inequality is considered. The left-hand side of the inequality depends on four arbitrary vectors defined in three-dimensional space. They define the directions in which spins of particles forming a correlated pair are projected. It is necessary to find vectors such that the left-hand side of the inequality takes its maximum value. It is shown that this can be done with the help of a special reduction of the density matrix of a two-particle spin state.

Correction to “On Optimal Development in a Multi-Sector Economy”1

Mr D. Nachane has pointed out to me that the proof of Theorem 6 of [1] is not correct as it stands. There should be absolute value signs around each of the three equal quantities on the left-hand side of inequality 7.8. The rest of the proof should then read: Since λ < 1 the terms | ut | are dominated by the terms of a convergent geometric series; hence the seriesconverges, since it converges absolutely, so in particular the partial sumsare bounded below, as was to be proved.