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For (X=Y) we say that (Vert cdot Vert _{vert cdot vert }) is induced by a single norm if (vert cdot vert _{X}=vert cdot vert _{Y}).
(phiinmathcal {K}(W,V)) if and only if there is (Vert cdot Vert _{vert cdot vert }), induced by a single norm, such that (2) is satisfied.
Because ϕ is differentiable it then follows from Corollary 1 that there exists (Vert cdot Vert _{vert cdot vert }) induced by a single norm such that (sup_{x in B} Vert {phi '(x)} Vert _{vert cdot vert } < 1).
If (phi: bar{W} rightarrow V) is continuous, and differentiable on W, (phiinmathcal{K}(bar{W},V)) if and only if there is (Vert cdot Vert _{vert cdot vert }), induced by a single norm, such that (2) is satisfied.
Similar(56)
The institution of marriage survives as a choice — as a range of choices — rather than a single norm.
The diversity in perceptions of norm may be due to an absence of a norm, that the norm is not well known to the public, or that there are several rather than a single norm.
The Dodgers opened the game quickly as Charlie Neal singled with one out, advanced to second base on a ground out, and scored on a single by Norm Larker to give the Dodgers an early 1 0 lead.
This proposition is supported by robust evidence that social networks strongly affect social norms, and that within a network, norms may be altered by a single individual and perpetuated by other network members.
But the report cautions against jumping to conclusions that national diets are converging on a single international norm.
The combination of error norms governed by a mixture parameter is introduced to yield a better performance than algorithms derived from a single error norm.
Subjective norms are only measured by a single item in the present study.
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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