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If a mapping (T Crightarrow C) is a self-mapping, then P becomes the identity mapping and so we have the following: (1) The nonself-mapping with (NSM) coincides with an asymptotically nonexpansive self-mapping.
Hence is a KKM mapping, and so is.
Hence, G ∗ is a KKM mapping and so is G ′.
This contradiction shows that is not Lipschitzian mapping and so it is not asymptotically nonexpansive mapping.
People who play games like WoW likely already have apps like this for calculating DPS, doing mapping, and so on.
By Remark 1.5, g is continuous mapping, and so (g-T) is a continuous mapping by Remark 1.8.
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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