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The order, if signed, would seem to exceed the executive branch's authority, Posner notes; moreover, given that the order's language appears to privilege some religious beliefs over others, it may violate the establishment clause of the First Amendment.
In Section 3.1, the quantization process is described given that the order P is known.
Given that the order of the polyphase network is a multiple of the subcarrier period in samples Pt, we can proceed in this case as we did in subsection 4.2.1.
Given that the order of policy statements is kept fixed within each VAA one can assume that (a) answer patterns, i.e., sequences of choices for all policy statements included in the VAA, can be found that characterise 'typical' voters of particular parties, and (b) the answer choice in each policy statement can be 'predicted' from previous answer choices.
Given that the order of policy statements is kept fixed within each VAA one can assume that (a) answer patterns (sequences of choices for all policy statements included in the VAA) can be found that characterise 'typical' voters of particular parties, and (b) the answer choice in each policy statement can be 'predicted' from previous answer choices.
The election of the first Jesuit also has much historic significance, given that the order has not always been considered at the center of the events at the Vatican, and Wednesday's events demonstrate recognition and considerable advancement for this entity.
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Having false positives in the results is a reasonable trade-off for security, given that the ordering information and data points are securely encrypted in DISC.
Given that the ordered eigenvalues of are jointly distributed as (5), the marginal CDF of the th largest eigenvalue can be expressed as (18).
The new atom position is determined using the same method as for New Bond with Order, given that the bond order is 1.
An analogy would be a Fabry-Perot interferometer for resolving wavelengths given that the interference order is already selected.
Given that the first-order conditions are identically 0, their suggestion is to study the restrictions that the null imposes on higher order conditions.
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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