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But it invalidated section four, which sets the conditions under which parts of the US must submit voting changes to federal monitoring.
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But it also invalidated "liberal" state laws forcing the Boy Scouts to admit a gay scoutmaster and giving native Hawaiians preferences in voting for officials in charge of native Hawaiian affairs.
That marks him out as a fiscally conservative Democrat, I suppose, but it hardly invalidates the study.
This divergence does not affect the force between rigid bodies, but it does invalidate calculations of Casimir stresses based on idealized boundary conditions.
To conclude, our results do not support the weak version of income inequality hypothesis, but it further invalidates this weak version because our qualitative results quite claim the opposite.
Some even said it invalidated the project.
If you draw up a power of attorney that hasn't expired, but you no longer want it to be in effect, you can draw up this form according to your state's laws to have it invalidated.
Nevertheless, we do not think it invalidates our results but, in a sense, it limits its generalizability.
"People say that it invalidates the accreditation program, but it really doesn't," said Arthur.
But it does not invalidate the rest of a consistently instructive canter across fascinating country.
It gives the critics a convenient platform from which to nitpick holes in the methodology, but it doesn't invalidate the overall results.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com