The articles [8], [11], [10], [5], [1], [7], [12], [4], [3], [2], [9], and [6] provide the notation and terminology for this paper. In this paper i, j, k, k1, k2, n, m, i1, i2, j1, j2 are natural numbers. Let us consider i1, i2. We say that i1 and i2 are adjacent if and only if: (Def. 1) i2 = i1 + 1 or i1 = i2 + 1. One can prove the following propositions: (1) For all i1, i2 such that i1 and i2...

The articles [3], [1], [4], and [2] provide the notation and terminology for this paper. In this paper x, y, X , Y are sets. We introduce G-net structures which are extensions of 1-sorted structure and are systems 〈 a carrier, an entrance, an escape 〉, where the carrier is a set and the entrance and the escape are binary relations. Let N be a 1-sorted structure. The functor echaos(N) yields a s...

The magnetic circular dichroism of the d-d transitions of Co(I1) when substituted for Zn(I1) in the Zn(II)-Cu(I1) enzyme bovine superoxide dismutase enzyme is reported. Magnetic circular dkhroism of the Co(I1) chromophore in the Co(II)-Cu(I1) enzyme is typical of tetrahedral Co(I1) compounds. The magnetic circular dichroism band pattern is almost identical with the magnetic circular dichroism o...

1. For any instance I1 of π1, I2 = f(I1) is an instance of π2 such that OPTπ2(I2) ≤ OPTπ1(I1). 2. For any feasible solution S2 of I2, S1 = g(I1, S2) (g maps S2 into an instance of I1) we have Costπ1(I1, S1) ≤ Costπ2(I2, S2). Note that OPTπ2(I2) ≤ OPTπ1(I1) ≤ Costπ1(I1, S1) ≤ Costπ2(I2, S2). Therefore, if there is an approximation factor ∆ for π2 then there is an approximation factor ∆ for π1 as...