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I've had three experiences in taxi court: the first, the judge found in the driver's favor (if there is a partition between the driver's area and passenger's part, the driver does not have to let someone sit in the front with him); the second, a monetary fine was imposed; and the third, the driver was assigned to go to language school to improve his English (is that a bad thing?).
Therefore, there is a partition of unity subordinated to.
For instance, in Figure 1 there is a partition of the phase space that has two atoms (the left and the right part).
Fortunately, there is a partition between the driver's seat and the back of Rolland's truck - but it is only made of thin Plexiglass.
Consequently, there is a partition of Z q into two disjoint sets Z q ∩ S 1 * and Z q ∩ S 2 *.
Then by Theorem 2.17 X is paradoxical, i.e., there is a partition (X=X_+sqcup X_-) and partial translations (t_{pm }:Xrightarrow X_pm ).
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The 2-allele property enforces the rule that for each full sibling group, there is a partitioning of the alleles at each locus into a maternal and paternal group, such that each individual obtains exactly one allele from the maternal set and one from the paternal set, at each locus.
In the 4 population network there is a greater degree of partitioning of the activity of the networks into those primarily exhibiting non-responsive and excitatory patterns, and non-responsive and inhibitory patterns.
Suppose that there is a double partition of the population, such that one would like the social welfare function to display infinite inequality aversion within subgroups of the first partition, and zero inequality aversion within subgroups of the second partition.
For every threshold ε ∈ (0,1] there is a finite partition {A1, …, An} of A and a reasonable subjective probability Pr: A → ℜ such that Pr(Ai) > 1 − ε for all i = 1, …, n, but Pr(A1∩…∩An) < 1 − ε.
The main challenge for the AMI is to justify the assumption that there is a preferred partition of the universe and to provide some idea about what this factorization should look like.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com