Since designs can be established by mathematical calculations and methods, it is generally assumed that engineering failures cannot occur.
The optimum conditions were established by the mathematical method of design of experiments (rotatable-uniform design).
Similarly, his work on hydrostatics introduced and developed the method whereby physical characteristics, in this case specific gravity, which Archimedes discovered, are given mathematical shape and then manipulated by mathematical methods to yield mathematical conclusions that can be translated back into physical terms.
A structure of model was established and a mathematical method was also designed to evaluate both normal and abnormal environments.
One is to verify a new protractor in comparing with previous established mathematical method of measuring acetabulum[ 1].
Then, with the methods of Itô's formula and Lyapunov function, sufficient conditions for extinction, stochastic persistence, and strong persistence in the mean of tumor cells are established by rigorous mathematical proofs.
Based on the experiment data, the mathematical correlations of pressure drop, weeping and entrainment for the novel tray were established by regression analysis method.
The method is established by obtaining comprehensive mathematical descriptions of the relationships between concentrations of contaminants in the air handling units, supply air inlets, return air outlets, and fresh air.
Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society.
Lastly, nonlinear relationships between the ratios of maximum permanent deflection to target thickness and dimensionless numbers are established by using a novel mathematical approach, namely, singular value decomposition method.
Firstly, a nonlinear mathematical model of the converter was established by using the state space average method, and on this basis, using small signal analysis method to convert the nonlinear mathematical model to a continuum mathematical model.
