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Hart claimed that wherever a legal system exists, there also exists a "rule of recognition" that specifies the criteria of legal validity that any rule must satisfy in order to count as a rule of that legal system.
As a consequence of the deceptively innocuous axiom of choice (which says that, given any collection C of nonempty sets, there exists a rule for selecting a unique point from each set in C), one can show that many finitely additive probabilities consistent with these requirements exist.
Assume that for this packet, there exists a rule in R that will drop it when it arrives to j.
It is that for any observed relative frequency in an initial segment of any finite length, and for any arbitrarily selected quantity between zero and one inclusive, there exists a rule that leads to that quantity as the limit on the basis of that observed frequency.
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Each node j is connected to a subnet, and for each node j, there exists a rule-set r j that is used to filter the traffic directed to its own subnet, to itself, or to the Internet across the connection attached to its subnet.
In the formula 2 there exists a simple rule: all activities which exit from a vertex can start after the end of all activities which enter a vertex.
An allocation rule is called Bayes Nash incentive compatible, if there exists a payment rule, such that truthful reports of agents' types form a Bayes Nash equilibrium in the direct revelation mechanism consisting of the allocation rule and the payment rule.
In this regard, there exists a typical rule of thumb for computing the coherence time as a function of the Doppler spread (fd = V/λ), which is given as follows: T 0 = 9 16 π f d 2 (1).
Given a decomposition L v = L v 1 + L v 2 ︸ Λ 2 + L v 3 ︸ Λ 1, we call Λ2 s-compatible to Λ1 if there exists a decomposition rule Λ3 such that L v = L v 1 + L v 2 + L v 3 ︸ Λ 3 ︸ Λ 1.
There exists an update rule μ such that φ is both μ-acceptance and μ-rejection time consistent.
2) There exists an update rule μ such that φ is both μ-acceptance and μ-rejection time consistent.
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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