Since R = 0, the recurrence relations for the haplotype frequencies are (12) w ¯ h i = ∑ i H i ⊙ Γ i ⊙ Ψ i, where w ¯ = ∑ i, j H i, j ⊙ Γ i, j ⊙ Ψ i, j is the average fitness, h i is the corresponding row for the ith haplotype (individual), and ⊙ denotes element-by-element multiplication of the corresponding i, j elements in the three matrices (also known as a Hadamard product).
Among them, ⊗ represents the multiplication of the corresponding element.
The general nature of the principles was confirmed in an experiment with the Leclanché cell and linear character of the multiplication of the corresponding output voltage was confirmed with 2, 3 and 4 galvanically short-circuited cells.
Logical conjunction is, therefore, defined only for pairs of cumomers that are pairwise: equal, determinate and indeterminate, or indeterminate and determinate; and it is equivalent to multiplication of the corresponding cumomer fractions.
This is equivalent to the multiplication of the corresponding BPSK symbols, i.e., ({x_{R}^{,j}}=hat {x}_{A}^{,j}hat {x}_{B}^{,j}), where (hat {x}_{i}^{j}) is the (BPSK symbol) hard decision corresponding to ({x_{i}^{,j}}) at the relay.
Logical conjunction is, therefore, defined only for pairs of isotopomers that are pairwise equal; and is equivalent to multiplication of the corresponding isotopomer fractions; however, since logical conjunction is not defined for every pair of isotopomers, we cannot take the Cartesian product under logical conjunction of pairs of sets of isotopomers.
Within the thermodynamic formalism, independence of binding sites leads to multiplication of the corresponding partition functions (described after Equation 6).
This translates to finding the path with the minimum number of nodes (hops) and that the multiplication of the corresponding weights is minimal.
When one switches to using classes instead of elective operators, as in LT, the corresponding multiplication of two classes results in their intersection.
