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The statement in question can be rendered more specifically as "If it has been demonstrated that tree T contains a set of nodes forming a bar, then it can be demonstrated that T contains a bar that is well-ordered".[9] Brouwer first formulates a condition for any demonstration that may be found of the proposition "Tree T contains a bar".
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Rédei and Valente (forthcoming) formulate a condition of operational separability for an algebraic quantum field system in order to argue that quantum field theory can be squared with the principle of local action.
However, algorithmic approaches exist, and it is possible to formulate a condition which, for any given design, can confirm whether this design is in fact optimal or not.
For example, we might build verbal report or its equivalent into condition C. The discipline of formulating a condition C for which animals can be tested empirically should help to avoid settling on a condition whose connection with consciousness is exemplified only in humans.
We now formulate a sufficient condition for the rigidity of a determinantal point process on (mathbb {R}).
Using Morse theory, we argue that it is impossible to formulate a sufficient condition for multiple peaks in terms of local genetic interactions.
Viewing the synchronization problem as an observer design problem, we invoke a recently developed theory of nonlinear observers robust to output measurement disturbances and formulate a sufficient condition for robust synchronization.
This implies that it is possible to formulate a boundary condition for the standard PPE without the necessity to resort to Green's functions, which is interesting for theoretical reasons.
So, again, (1) does not formulate a sufficient condition for the truth of physicalism.
In the third example, we formulate a sufficient condition for p-regularity ( p = 2 ), which can be tested using the notion of resultant.
We aim to formulate a condition C, associated with metamemory tasks, for which non-human animals can be tested.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com