Sentence examples for methods the author from inspiring English sources

(1.4) By using variational methods the author proved the existence and multiplicity results, which are closely linked to the parameter λ.

By bifurcation and topological methods, the author determined the interval of parameter λ in which the above problem has zero/one/two nontrivial nonnegative solutions according to sublinear/linear/superlinear nonlinearity at zero.

Methods: The authors modified the old tool but maintained the cutting method described by Noblett.

Methods: The authors developed a comprehensive quality assessment instrument incorporating 30 items within 3 subscales.

By using variational methods, the authors obtained that system (1.5) has at least three weak solutions.

In the original fault estimation methods, the authors assume that the fault magnitude is far greater than the normal measurement.

For example, [54] evaluates the relations detected automatically using clustering methods, the authors analyzed the dataset manually.

Methods: The authors made the tissue phantom model using a chicken breast by a very simple method.

Thereby, using scRNA-seq methods, the authors revealed the dynamics of the differentiation and maturation of oligodendrocytes.

In the above methods, the authors used some conditions which make some difficulties in the eye state recognition.

In [8], by using linking methods, the authors obtained an existence result under the AR condition as follows.