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A certificate or other documentation becomes invalid on the date that the withholding agent holding the certificate or documentation knows or has reason to know that circumstances affecting the correctness of the certificate or documentation have changed.
Byelorussia's Parliament said in a statement that agreements in 1939 and 1940 on the disputed territory would become invalid if Lithuania became independent.
Under Dutch rules, her designation of a recipient would become invalid after her death.
The waiver stated that the certificate would become invalid if there was a relapse into depression. .
However, we note that this assumption could become invalid under certain situations.
Deterministic techniques based on mathematic programming become invalid when the models are non-differentiable or explicit mathematical descriptions do not exist.
When considering operation over a range, the assumption on local linearity may become invalid, and it is at this juncture that the notion of bilinearisation is raised as providing a way forward.
The implications go far beyond the BRCA gene patents: if the initial court ruling and the Justice Department's position hold up, then virtually all gene patents, on human genes and on many other species' genes, will become invalid.
All other old dinars can be exchanged for new ones on a one-to-one rate until May 7, when the old dinars become invalid.
The prime minister, Narendra Modi, gave Indians a 50-day window to declare and deposit their 1,000- and 500-rupee notes after a surprise announcement on 8 November that both denominations would become invalid that evening.
If (tmapsto f x, t)/|t|) is not strictly increasing, then (t_{u}) and the minimizer of Φ on (mathcal{M}) may not be unique, and their arguments become invalid.
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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