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Margaret Williamson, translating the more substantial Fragment 16 in 1995, also admits the gaps, producing a fine and honest-looking poem; but on the whole earlier poets were terrified of lacunae, and rushed in to fill the vacuum.
Then this family has a full set of lacunae.
Then this family has some full set of lacunae.
We must prove that this family has a full set of lacunae.
Then the family (mathfrak{A}) has the same full set of lacunae ({ U^{1}_{lambda},U^{2}_{lambda}}_{lambdainLambda}).
Assume that the family (mathfrak{A}') has a full set of lacunae ({U^{1}_{lambda},U^{2}_{lambda}}_{lambdainLambda}).
It is rather a natural consequence of the existence of lacunae, which is a fundamental property of the corresponding solutions.
The key property used for obtaining the ABCs is the presence of lacunae, i.e., sharp aft fronts of the waves, in wave-type solutions in odd-dimension spaces.
Then we say that the family ({mathcal{A}_{lambda }}_{lambda in Lambda }) has the full set of lacunae ({U^{1}_{lambda }, U^{2}_{lambda }}_{lambda in Lambda }).
The algorithm is based on the presence of lacunae, i.e., aft fronts of the waves, in wave-type solutions in odd-dimensional spaces.
The modification makes use of the presence of lacunae in the corresponding solutions and allows us to establish a temporally uniform error bound for arbitrarily long-time intervals.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com