Sentence examples for using the separation of from inspiring English sources

Using the separation of the variable, the general solutions for the wave equations were obtained.

A composite membrane has been obtained and its quality evaluated using the separation of adsorbing and non-adsorbing gas mixture.

The interaction between the wave motion and the structural response is explained using the separation of variables method.

Moreover, the pervaporation performance of these membranes was investigated using the separation of ethanol water mixture as model system.

At first, the torsional response of the soil layer is solved by using the separation of variables technique.

Using the separation of variables method, the closed-form natural frequencies are successfully obtained in this work.

The analytical formula of the unsteady temperature distribution is derived by using the separation-of-variables method and hence the maximum thermal stress attained at the surface of the FGM solid cylinder as well as its time of occurrence can be calculated.

The key idea is to use the separation of HUCRF parameters between observations and labels: this allows us to pre-train observation parameters independently of label parameters.

The model uses the separation of variables assumption for the cross-power spectral densities of the surface pressure fluctuations.

"Schools have used the separation of church and state as an excuse to not allow students to participate in certain types of religious activities, including reading their Bible at school, praying at graduation ceremonies, or holding Bible studies on school grounds," the letter said.

The Constitution's framers used the separation of powers and the Bill of Rights (most importantly the due process clause of the Fifth Amendment) to render "the overbearing majority …unable to concert and carry into effect schemes of oppression". It is these "negative rights" that Obama proposes to eliminate.