The phrase "abovementioned assumptions" is correct and usable in written English.
It can be used when referring to assumptions that have been previously mentioned in the text.
Example: "In light of the abovementioned assumptions, we can conclude that the results are valid."
Alternatives: "previously mentioned assumptions" or "aforementioned assumptions".
Since high grade carcinoma was poorly differentiated, these results confirmed our abovementioned assumption that positive correlation exists between the expression of P2X3 and urothelial differentiation.
Regarding the abovementioned assumption that the higher the total antigen level the larger the pool of defect S-HBsAg forms, that effect is advantageous.
Based on the abovementioned independent assumptions and ideal Gaussian noise assumption [13], we can get the following approximations: E z m = E z m 3 = E z m 5 = 0, (16) E z m 4 = 3 σ n 4, (17) E z m 6 = 15 σ n 6, (18) E x m T x m = N σ 2. (19).
where n0 denotes the reference image and M n represents the region in I n which satisfies the abovementioned fundamental assumption.
The abovementioned algorithms require certain assumptions such as the absence of inter-frame interference (IFI) and inter-symbol interference (ISI), known multipath channel, and absence of time-hopping codes, which are rather optimistic assumptions for practical UWB settings.
In addition to the abovementioned experimental methods, this assumption was based on the data of elemental analysis and theoretical estimates.
Regarding the measured time series of airway flow and mask pressure, the abovementioned studies have two major assumptions: (i) the airway flow and the mask pressure are deterministic signals, and (ii) the uncertainty (referred to as a measurement noise) between the measurements and the model is zero-mean Gaussian distributed white noise.
A central assumption of many of the abovementioned models is that prey exhibit trade-offs in their ability to resist predation and their competitive ability for shared resources.
It should be noted that these two approaches, as well as many of the abovementioned ones, rely on the often incorrect assumption that the activity of a TF can be derived from the expression of the gene that codes for the TF.
