The phrase "assumption is fulfilled" is correct and usable in written English.
You can use it when referring to a situation where a predefined assumption proves to be accurate. For example, "The assumption that the project would take two weeks to complete was fulfilled."
This assumption is fulfilled for most of the measurement sites.
It might happen that the first assumption is fulfilled, but the second assumption is not.
Again, it is admittedly not easy to give a satisfying account of how we know that this modal existential assumption is fulfilled.
An example where this assumption is fulfilled is given by R-D harmonic retrieval [10], where we consider a superposition of d harmonics samples on an R-D lattice.
The next assumption is fulfilled in the main results by virtue of appropriate assumptions on (f t, cdot,cdot,cdot)): ((H_{1})) : For any (r>0), there exists a function (h_{r}in Y ) such that (vert f t,x t),x'(t),x t)) vert leq h_{r}(t)), (xin X), (Vert x Vert leq r).
If the assumption is fulfilled, the curves should be parallel.
The Cox proportional hazards assumption was fulfilled in all models according to the graphical approach and Schoenfeld residuals.
The proportional odds assumption was fulfilled, confirming that the associations with independent variables were continuous across functional limitation tertiles.
The Kaplan Meier method and survival comparisons were done with the log-rank test if proportional hazard assumption was fulfilled and Breslow otherwise.
The mean differences within double examinations were tested for equal variance with an F-test, and if this assumption was fulfilled, a paired t-test was performed.
The proportional hazard assumption was fulfilled for all these covariates at the Cox regression analyses, with use of the test for all time-dependent covariate variables added.
