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Let us give one lemma, which will be needed below.
Let us give one lemma, without proof, that will be needed below.
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Moreover, we give one important lemma, which is motivated by the iteration-covering procedure in [12].
In this subsection we give one important lemma (the iteration-covering procedure), which is much motivated by [18].
Now, by using Lemma 4.2, we give one more result.
We then construct a spectral sequence that refines the isomorphism of Lemma 5.13 and gives one some control over ({text {DRec}}(I,mathcal {C})).
Lemmatization can sometimes yield more than one lemma from a given word e.g., the lemma of "leaves" can be "leaf" or "leave", depending on whether "leaves" is a plural noun or a verb.
The first lemma (Lemma 2.1) is given in [19] and the second one (Lemma 2.2) is also given in [15].
In Section 2, we give some basic concepts and one lemma.
The detailed proof is very similar to one given in Lemma 3.1.
Then there exists a constant C, independent of u, such that ∫ B | T ( H ( u ) ) - ( T ( H ( u ) ) ) B | q w ( x ) d x 1 ∕ q ≤ C diam ( B ) ∫ σ B | u | q w ( x ) d x 1 ∕ q. for all balls with σB ⊂ D for some σ > 1. Next, we prove the following inequality, which is a generalized version of the one given in Lemma 2.2.
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