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Its behavior for small cracks (θ o ≪ 1) can be found using a simple argument.
The MCPP parameterized by the number of edges was known to be fixed-parameter tractable using a simple argument.
However, we are not able to explain using a simple argument based on wetting property why smaller, e.g., sub-100-nm holes, cannot be filled, for which we suggested a few possible factors for its explanation.
Using a simple argument based on the energy budget at Earth's surface one can show that a variation of terrestrial insolation with solar activity on the percentage level – as reported in [ 1] – would lead to unrealistically large temperature fluctuations which are not observed in the instrumental surface temperature record.
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He arrived at this conclusion by using a simple theoretical argument comparing the change in entropy of an ideal gas caused by an isothermal change in volume with the change in entropy of an equivalent volume change for electromagnetic radiation in accordance with Wien's or Planck's radiation law.
Using a simple density argument presented in [6], it suffices to consider s = 3 to prove this lemma.
Once a right inverse is fixed for some choice of the points x1,..., x m, a right inverse which depends smoothly on some points close to x1,..., x m can be obtained using a simple perturbation argument.
If the stepsizes ε t form a nonsummable but square summable series, i.e., ∑ t = 0 ∞ ε ( t ) = ∞ and ∑ t = 0 ∞ ε 2 ( t ) < ∞, then using a simple supermartingale argument it can be shown that λ(t) converges to Λ∗ almost surely[24].
Using a simple geometric argument, we show analytically that bistability can also emerge without multimeric regulation, provided that at least one regulatory autoloop is present.
SNPs were called using a simple thresholding.
The proof of this inequality uses a simple geometric argument.
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