Sentence examples for methods with mathematical from inspiring English sources
The hypotheses formulated after the literature review and research model are tested using quantitative research methods with mathematical modelling and statistical analysis.
Given the importance of mastication in influencing bioaccessibility, digestion kinetics, postprandial lipemia, and energy metabolism (5– 11), we believe this novel approach of combining in vitro and in vivo methods with mathematical modeling has potential for the future.
This task is achieved by combining the pinch design method with mathematical programming techniques, together with an optimal design algorithm of shell and tube heat exchangers based on the rigorous Bell-Delaware method.
The separation of variables method with mathematical induction is employed to find an analytical solution to the model.
In these new forms, intuitive- narrative approaches to scenarios are added or replaced by CIB, a systematic method with mathematical foundations and academic credibility.
Cluster analysis, displayed as a dendrogram, was done using the unweighted pair group method with mathematical averages, and calculation of the pair-wise similarities was based on the Dice correlation coefficient.
The detailed description of the method is summarized in the Methods section with mathematical details outlined.
The method generalises an existing deterministic scheme, in which the structure is represented and evolved by a level-set method coupled with mathematical programming.
However, a closer view of contemporary engineering methods (inextricably interwoven with mathematical modelling and simulation) and of the situation in biology (inextricably confronted with the intrinsic complexity of biomolecular environments) demonstrates that tinkering in the lab is increasingly supported by rational design methods.
The analytical results obtained in experimental data have been compared with the numerical ones obtained by performing the Runge Kutta method with the mathematical model.
The aim of this study is to demonstrate that the Coupled SAFE-3DFE method used in conjunction with mathematical optimization methods, can automate the optimal design of a transducer.
