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The phrase "assumed to be continuous at the" is correct and usable in written English.
It can be used in mathematical or analytical contexts when discussing functions or processes that are expected to maintain continuity at a certain point.
Example: "For the function to be valid, it must be assumed to be continuous at the point x = 2."
Alternatives: "presumed to be continuous at the" or "expected to be continuous at the".
Exact(1)
However, the coefficients of these inequalities are assumed to be continuous at the left end of the interval of definition.
Similar(59)
The measured variable is assumed to be continuous with a finite second moment.
Initially the ongoing activity was assumed to be continuous.
MOH was assumed to be continuous (pT=1) when present.
Notice that g is not even assumed to be continuous.
In this theorem, T is assumed to be continuous affine.
Hereafter, all operators will be assumed to be continuous.
The initial condition is assumed to be piecewise continuous.
Let S : C → C be a continuous quasi-nonexpansive mapping which is assumed to be demiclosed at zero.
For continuous variables (cholesterol and plasma vitamin C), missing values were assumed to be missing at random and were imputed using multiple imputation (n=5) with univariate regression models.
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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