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Since n may be arbitrarily large, we obtain a contradiction.
The children of a P-node may be arbitrarily reordered.
The number of unknowns (the concentrations of the species) may be arbitrarily high.
If you're like me, you may have noticed that Twitter may be arbitrarily, randomly, and haphazardly, unfollowing people you fully intended to follow.
As Rabin (1993), we study games where the material payoffs may be arbitrarily small or arbitrarily large.
Using this approach, the number of system parameters may be arbitrarily large, and the system may be non-linear and subject to random noise.
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By means of this technique, it is proven that the small-gain theorem of Markov jump linear systems may sometimes be arbitrarily conservative, even when nonlinear Lipschitz disturbances are taken into account.
Subsistence rights are of the utmost importance for the protection of human dignity and survival in emergency situations and are interrelated with the right to life a non-derogable right (to the extent that a life may not be arbitrarily taken) (see Müller 2009, 599).
Since ( z n ) n ∈ N ⊂ P is relatively weakly compact and the set consisting of one element is also weakly compact, by Theorem 2.5 we infer that the terms ∫ t 1 t 2 | z n ( s ) | d s and ∫ t 1 t 2 a ( s ) d s in (4.8) may all be arbitrarily small provided that the number | t 1 − t 2 | is small enough.
Whereas the Newtonian law of motion governs particles across the face of an absolute space that is always and everywhere exactly where the particles themselves are, what the Machian laws govern are merely the rates at which spatial relations (distances) between different particles change over time and these particles may in principle be arbitrarily far apart (see below Nonlocality).
Others say the land-reform proposals are poorly written and may be applied arbitrarily.
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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