Sentence examples for by ordinary methods of from inspiring English sources

After the bulk chemical constituents have been identified by ordinary methods of structure determination and analysis, any prereaction changes involving the reactants, either individually or together, must be investigated.

Because gastric and breast cancers contain large amounts of stromal cells in the cancer tissues, gene expression evaluated by ordinary methods reflects that of the cancer tissues, but not cancer cells.

To analyze these structures, we use a sine cosine method [4, 5, 34] because the solution of mKdV equations cannot be determined by ordinary methods due to presence of variable coefficients.

Many of the hoaxers are tragic figures, too broke or lowly to win literary renown by ordinary methods; too talented or dogged to give up.

Equation (26) can also be solved by ordinary methods.

We could not assess the preservation of the skin by ordinary histological methods because of the degradation of proteins in the specimen caused by the acidic environment of the bog.

Performance of the proposed method was evaluated by bias and MSE, comparing it with two ordinary methods.

Xiao [4] analyzed the existence and uniqueness of the positive equilibrium and its global asymptotic stability by using the qualitative methods of ordinary differential equation.

Bootstrap consensus trees show branch-lengths estimated by ordinary least-squares method [ 51].

Given the expression profile of a gene in the form of, the parameter vector θ can be estimated by the method of ordinary least squares, which can be written as the following minimization problem: The estimated linear function is an estimate of a conditional mean function of the data.

One of the well-established analytical techniques for solving engineering vibration problems, which are represented by ordinary differential equations, is the method of multiple scales (MS).