The phrase "assumptions and using" is not correct as it lacks clarity and context in written English.
It could be used in a context where you are discussing the act of making assumptions and the process of using something, but it needs to be part of a more complete sentence for clarity.
Example: "In our analysis, we must consider both the assumptions and using the data effectively to draw accurate conclusions."
Alternatives: "presumptions and employing" or "beliefs and utilizing".
In collaboration with Ryan Zarcone and Dibyendu Mandal, I am developing solutions to Fokker-Planck equations for driven systems under various assumptions, and using these solutions and other techniques to develop methods to predict optimal protocols for small stochastic systems.
Sketching or mocking up experiential prototypes and then testing them with consumers or potential partners, while also explicitly jotting down your operating and business assumptions and using them to discuss the business with industry experts, allows you both to pick a promising route to invest in the development sprint and to pivot with confidence.
Under some mild assumptions and using Caputo's definitions for fractional-order integrals and derivatives, the design procedure of the proposed neural adaptive controller consists of a number of steps to solve the generalized function projective synchronization problem.
With these assumptions and using the aforementioned notations, the cost for using VM instances to be paid by an user can be expressed as follows: Total reservation cost of one user request is: {displaystyle sum_{rp=1}^{Srp}{displaystyle sum_{t=1}^Tleft[{c{p{left( c{p}_iright)}^{(f)}* v{m}^{(r)}+{C}_{left( c{p}_iright)}^{left(mathrm{r}right)}* v{m}^{left(mathrm{r}right)}* hright]}} (3).
By questioning widely held assumptions and using logical deductive reasoning, Miettinen invokes his Socratic nature and confirms his great strength as a theoretical epidemiologist.
We compared the SWEEP filtering method with the traditional filtering method based on these assumptions and using different numbers of genotypes.
Epidemiologists and biostatisticians who reviewed the study for The New York Times said the researchers had based their estimates on conservative assumptions and used a sound methodology.
However, it releases some assumptions and uses new channels to explain the wage gap.
Given the similarities between PG and substance dependence, PG research has made assumptions and used paradigms similar to those used in substance use disorder (SUD) research.
Missing follow-up assessments will be imputed under different assumptions and used in additional analyses to assess the sensitivity of inferences to missing data.
