The phrase "assumed up to" is not standard in written English and may cause confusion.
It could be used in contexts where you want to indicate a limit or extent of an assumption, but it is better to clarify the meaning.
Example: "The results were assumed up to a certain point, beyond which further analysis was required."
Alternatives: "assumed until" or "presumed up to".
It is about the protection of Europe, and the stance of an idle observer that European diplomacy has assumed up to now is not quite clear to me.
These results show that the magnetic properties of nitronyl nitroxides cannot be rationalized by looking only at the relative orientations of the ONCNO groups, the spin containing groups in nitronyl nitroxides, as assumed up to now.
A linear-elastic relation was assumed up to the material strength values.
A linear elastic distribution of the radial stresses is assumed, up to the reaching of the concrete tensile strength.
Thus ergodic capacity can be assumed up to the point for which ℵ is large enough to average out both the AWGN and the channel fluctuations.
For the largest wavelengths of the field generated in the core and lithosphere (here, assumed up to SH degree L i=18), the reference radius used in Equation 5 is a=3485 km.
The Treasury Department will use its bailout fund to assume up to $5 billion of losses.
MA, which has a market value of $1.64 billion, said it would assume up to $280 million of Albaugh's debt.
The company assumes up to $2,000 of liability for lost or damaged items, and in events where replacements are available, will try to replace rare items outright.
Ross says that his team is negotiating with tenants who could assume up to 22 million square feet in aggregate, though that will take some master salesmanship.
Instead, Landed recoups its investment when the home is sold or refinanced, assuming up to 25% of the appreciation or depreciation of the home's value.
