See the Methods section for proof that problem ChrL is NP-complete.
In particular, we used the steady-state airflow to generate more atomic oxygen radicals during surface treatment of ITO and adopted the discharge image method for proofing the steady-state airflow effect.
This proof uses Theorem 1, but is essentially identical to the proofs of statistical consistency for ASTRAL and ASTRAL-2 under the MSC model [ 19]; see Methods for the proof of this theorem.
It is essential to evaluate associations between EDC exposures and health outcomes by further developing methods for which proof of concept is currently under development.
lim t → ∞ y i t = k i 1 1 − q Σ j k j 1 1 − q. (see Methods for the proof of Theorem 2 and the Corollary).
Strikingly, it can be shown that this simple criteria on Γo governs not only the evolutionary conservation but also the topology of the emerging PPI networks under WGDs, see Methods for detailed proof.
In this paper a method of proof for concurrent systems is presented that combines several approaches to meet the previous goal.
A brief, heuristic discussion of the method of proof for the law of large numbers explains the importance of these martingales and motivates their study.
Our method of proof for sub-elliptic systems is based on a generalization of the technique of (mathcal {A} -harmonic approximation.
A typical method of proof for the fixed point theorems in Banach and metric spaces is to construct a fixed point by finding an element, on which a specific type function attains its minimum.
