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Over the course of the year, games became an increasingly large percentage of iTunes downloads, but have been decreasing on Android.
Third, the collective gender gaps in advanced mathematics and science course have been decreasing (on average, −0.04% per year for both advanced mathematics and science courses), but the collective gender gap in CTE-STEM courses was increasing (on average, 0.60% per year) with more enrollments of male students.
3 In the past decade, the burden of disease has been decreasing on the North and South American continents.
Suicide rates have recently been decreasing on average among OECD countries, but increasing trends have been detected in South Korea, particularly since the 1997 economic crisis.
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Thus is decreasing on by Lemma 2.1.
Hence is decreasing on and is decreasing on by Lemma 2.1.
This leads to that is decreasing on by Lemma 2.1.
Hence is increasing on and is decreasing on by Lemma 2.1.
Let for we have that and is decreasing for so is decreasing for and is decreasing on by Lemma 2.2.
In order to prove that is decreasing on, assume on the contrary that for some.
Then (2.16) yields which is not possible because is decreasing on by (1.9) and (2.2).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com