The phrase "assumptions and utilizing" is correct and usable in written English.
It can be used when discussing the process of making assumptions and applying them in a particular context or analysis.
Example: "In our research, we must clarify our assumptions and utilizing them effectively to draw accurate conclusions."
Alternatives: "assumptions and applying" or "assumptions and employing".
We decided to utilize bootstrapping as it requires less distributional assumptions and utilizes a larger sample size as compared to other methods (split sample or jackknife).
In order to appropriately utilize the semi-empirical model of SFFL presented in this study, it is important to consider the assumptions and approximations utilized in its development.
Results presented must be viewed strictly in the light of the setting and time undertaken, the data, and the assumptions utilized and may change if some of these also change over time.
Upon making some appropriate assumptions, by utilizing the ideas and techniques of solution operators, the theory of fractional calculus and Mönch's fixed point theorem via measures of noncompactness, sufficient conditions for controllability results are obtained under some weakly compactness conditions.
How to represent and utilize these assumptions and prior will affect the performance of super-resolution.
These estimates are not easily comparable as they were derived in different ways, and additionally and utilize from different assumptions, so they are presented here for completeness but not as reliable estimates of the true daily survival rate, as discussed below.
Two-dimensional, plane strain assumptions are utilized, and the potential energy (PE) expression for the structure is developed, including first-order transverse shear deformation effects.
Such simulations rely on many generative assumptions, and we hence utilized a different strategy involving empirical data in which a ground truth directed connectivity pattern could be anticipated with confidence.
These calculations were based on the assumption that the vaccine would be 100% efficacious and utilized by 100% of the target population (12-year-old boys and girls).
Researchers calculated values for R for a variety of locations and utilized many different case definitions, ascertainment methods, and assumptions about the generation time or serial interval.
