The phrase "aforementioned assumption" is correct and usable in written English.
It can be used when referring back to an assumption that has already been mentioned earlier in the text.
Example: "In light of the aforementioned assumption, we can conclude that the results are valid."
Alternatives: "previously mentioned assumption" or "earlier stated assumption".
These 445,252 sequences contain a total of 1,183,049,646 bp, which are 7.0 times of the genome (168,736,537 bp), but only cover 45.4% (76,555,033 bp) of the genome (Additional file 3: Table S2), indicating that some of these sequences highly overlap with one another, thus confirming our aforementioned assumption.
By investigating the band-average difference between the total and non-resonant transmission losses, the validity of the aforementioned assumption is discussed.
In particular, [x sc(0),y sc(0)]=[0,0]according to the aforementioned assumption.
It is noted that is a Hermitian matrix under the aforementioned assumption.
In [37], the authors remove the aforementioned assumption and derive a detection scheme in the case of Gaussian clutter.
Under the aforementioned assumption, the features can be hypothetically matched based on their spatial distances and geometric properties (e.g., aspect ratio).
Here, we discuss the applicability of the simulation and describe cases that violate the aforementioned assumptions.
More detailed fluid mechanical calculations which are carried out here corroborate the aforementioned assumptions in the 'high' surface viscosity regime.
Under the aforementioned assumptions, delay-dependent conditions for the solvability of the addressed problem are presented in terms of linear matrix inequalities.
In this paper an integrated bond graph model of a truck is developed for the first time without the aforementioned assumptions.
The concept of extracting bridge frequencies from a passing vehicle, however, is not restricted by the aforementioned assumptions, as will be demonstrated in an independent finite element study, which do not rely on any particular assumptions.
