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Exact(8)
Q: Large barrels full of explosives and projectiles which are dropped from helicopters and explode with devastating effect.
Since (C^{q}) is connected, we have (C^{q}subset U') or (C^{q}subset U") as q large enough.
This indicates that the infimum in (1.10) can be estimated by evaluating those (A_{p,q}) with p, q large enough.
Moreover, by a Sobolev embedding, (W^{s,q}( mathbb {R}^{N})hookrightarrow C^{0,alpha}( mathbb{R}^{N})) (for q large enough), we deduce that (v_{varepsilon}-urightarrow0) in (C^{0,alpha}( mathbb{R}^{N})), it follows from the decay of u that (|v_{varepsilon}(x)|rightarrow0) as (|x|rightarrowinfty) uniformly in (varepsilon>0).
On the other hand, f is a weak k-contraction, so we have mathcal{D}bigl(f^{n_{q}+1}(x_{0}),f omega bigr)leq k mathcal{D}bigl( f^{n_{q}}(x_{0}),omegabigr), for every q large enough.
For example, the middle one becomes the minimum when p = 2, q = 1 while it is easy to see that the last one becomes the minimum for p = q large enough and the first one becomes the minimum when q is being fixed and p → ∞.
Similar(52)
Using this double-electrode scheme a Q larger than 15 is achieved for a wide range of conductivities.
Similarly, the signal subspace is spanned by the Q largest singular values, i.e., S = u 1 ⋅ ⋅ ⋅ u Q. (28).
Similar as stated in nested sampling, if we set P and Q larger, the average sampling rate would be arbitrarily smaller.
Q How large is your stake, on average?
Q My large (1,500-strong 1,500-strongon CDnsists of collectionmusiconsistszz.
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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