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It is shown under which conditions the widely used relation Rg2 = R2/6 loses its validity.
Subsequent work has shown that the relationship loses its validity at higher pressures, but more complicated expressions that more accurately match experimental results can be derived.
The electrical model loses its validity when the resonators enter a nonlinear regime of motion, which is shown to occur either by mechanical stiffening or electrical softening.
Those criteria allowing for the defence to gain the upper hand over the offence generally do not apply to revisionist states, as the rational logic established above loses its validity with regard to powers attempting to change the status quo.
They showed that the single fiber core conductor model is not an unreasonable approximation of the control region of a large bundle of fibers, but loses its validity toward the periphery of the bundle and is entirely unsatisfactory for small bundles.
The argument that fear needs to be placed back into these animals by hunting them with firearms loses its validity here.
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Other large-scale processes may still allow long-range prediction, but the more detail one asks for in a forecast, the sooner will it lose its validity.
It is losing its validity in the eyes of many whose fathers believed in it.
Sensitive data must be stored before a specific deadline, otherwise it will lose its validity.
The very structure of hierarchy of levels has lost its validity, even for those who believe in it as a model of autonomy of levels rather than as an image of fundamentalism.
[and] can outrageously insult common sense only where common sense has lost its validity". Cynicism.
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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