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Supplementary Fig. S1c shows an example of good Null measures.
We can extract useful information by the employment of "Null" measures, in order to determine which fast orientations cause the absence of energy in the transverse component.
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Therefore is also a null measure set because (5.3).
Let us show that is a null measure set.
Therefore and thus is a null measure set.
Let be a null measure set, we have to prove that is also a null measure set.
Finally is null because it is the union of countably many null measure sets.
Since is absolutely continuous on the set is a null measure set for each.
Therefore we only have to prove that and are null measure sets.
Let us show that the set is a null measure set.
This implies that the multi-spacer fractal set has null measure.
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