The phrase "achieved by assuming a" is correct and usable in written English.
It can be used in contexts where you are explaining how a certain result or outcome is obtained through a specific assumption or premise.
Example: "The desired outcome was achieved by assuming a constant rate of growth throughout the year."
Alternatives: "obtained by presuming a" or "realized through the assumption of a".
Rather, it was a stealth gain, achieved by assuming a rise of a quarter of a percentage point in the trend rate of economic growth.
The minimum annual equivalent cost is achieved by assuming a design storage pressure of 4000 kPa.
The design of the observer is achieved by assuming a set of conditions under which the ultimate boundedness of the estimation error is established.
Full closure can be achieved by assuming a β-PDF for the probability distribution in sensible enthalpy space and an additional conditional variance equation needs to be solved.
Such a fit was achieved by assuming a simple homogeneous distribution of the porosity within the particle and, therefore, a constant value of n = 1.8 in all the measured wavelength range.
This was achieved by assuming a normal distribution for the scores of normal calves (group 3) and obtaining the 5% lower tail.
This is achieved by assuming all members of the MF are axially rigid and constitute an unstable mechanism (Fig. 5a).
A similar transition between Jackson and Wolinsky's (1996) model and Bala and Goyal's (2000a) one-way flow model is achieved by assuming that information runs through a weak link only towards the node that supports it and with some decay (alpha ).
This can be achieved by assuming that each individual asymmetry value reflects a sample from a normal distribution with zero mean and variance σFA [i], the latter representing the individual-specific degree of DI [ 10].
Another expression of mastery can be achieved by assuming control over related aspects of an illness such as treatment and becoming an expert in how to use the device itself.
Since the inverse problem, which requires the determination of the thermal conductivity and heat capacity from a finite set of temperature measurements taken inside the body, possesses poor uniqueness features, additional information is achieved by assuming that the thermal properties belong to a set of polynomials.
