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Calling Russian opposition to the proposal "unjustifiable and negative," Sir Jeremy said that "preserving the validity of that resolution means, in the view of the United Kingdom and most members of the Council -- perhaps all members of the Council -- avoiding a crash over the next couple of days because that does damage to the draft resolution".
For example, if we drop axiom K5 (preserving the validity of K1 – K4) the agent's possibility sets need not partition the space set (follow the link for an example. For more details and applications, cf. Samet 1990).
The Food Integrity Campaign was joined by 70 other organizations which together represent millions of people and stand for causes such as ending needless suffering, ensuring safe food and water, stopping the exploitation of workers and preserving the validity of the United States Constitution.
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The announcements are significant in part because they indicate that the chip industry may find a way to preserve the validity of Moore's Law.
Since then, an online petition has been circulated urging Mr. Love to reconsider "in order to preserve the validity of 'The Beach Boys' as a whole, and not as a 'money-saving, stripped-down version".
In order to preserve the validity of this approximation even for larger input signals, the amplitude α of the pump field needs to be increased.
Now, it is certainly true that insisting on the need to preserve the validity of the above inferences in any account of external metafictional sentences is a good antidote to the antirealist 'paraphrase' strategy.
According to Burley, all of this is necessary to preserve the validity of our knowledge of the external world, which he believed can be made evident without falling prey to Ockham's criticisms.
The independence of formula B from formula A is established by a matrix that (i) preserves the validity of the rules of the system and that (ii) under an interpretation σ assigns to A but not to B a designated value.
The requirements for such a method differ from that in collisionless N-body methods in two important aspects: (i) there is no gravitational softening and (ii) to preserve the validity of the N-body model, the approximation errors must be much smaller than what is common in collisionless N-body simulations.
More precisely, the following operations preserve the validity of a hypothesis given in the positive representation: changing order of columns in the matrix changing order of literals in a column adding a column (Ctheta ) to the matrix containing the column (C).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com