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Notice that even in this case we have no defined frontiers as we transit from a 0 value (no consolidation) to a 1 value (one quadrant consolidation), or from 1 to 2, or 2 to 3, or 3 to 4. So, for example, in a small neighbourhood of the intermediate point 1.5 between 1 and 2 we would assign a greater than zero membership value to two functions.
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The nomadic existence of many Somali herders and the ill-defined frontiers worsened the problem.
This policy of fastening the church, a universal institution, into the Reich, with its well-defined frontiers, is usually associated with Otto I, but it gathered momentum only in the reigns of his successors.
Many people communicate in "portunol," a mixture of Portuguese and Spanish, and most, including the mayors of both towns, have relatives on the other side of the ill-defined frontier.
India says Chinese troops erected a camp on its side of the ill-defined frontier in Ladakh region last week.
Eventually, the geo-defined frontier will likely disappear.
The search engine was the genetic algorithm and it proved to be able to generate a well-defined Pareto frontier in a reasonable number of runs.
After the British conquered the Punjab in 1849, they took over the ill-defined Sikh frontier to the west of the Indus River, leaving a belt of territory between them and the Afghans that was inhabited by various Pashtun tribes.
In a statement on Twitter, al-Shabaab said it had officially revoked Islamic Relief's permit to work in areas under its control – an ill-defined territory, the frontiers of which have become ever more fluid since the al-Qaida-linked militants pulled out of the port city of Kismayo on 28 September with Kenyan troops and their Somali allies closing in.
Chief among them is the contentious and ill-defined Saudi-Yemeni frontier, wiggling its way through the Asir tribal highlands and out into a featureless but oily desert.
Defined entropy.
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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