Sentence examples for by the mathematical method from inspiring English sources

The optimum conditions were established by the mathematical method of design of experiments (rotatable-uniform design).

Therefore, the distance can be optimized easily by the mathematical method or the particle filter method that be explained in the following section.

Our approach shows that inverse planning for intensity-modulated beams in radiotherapy can be solved efficiently by the mathematical method of linear optimization.

The band of 1 638 cm-1 seems to contain about five sixths of parallel β-pleated sheet and one sixth of α-helix, estimated by the mathematical method; and the shoulder peak at 1 682 cm-1 is assigned to the conformation of β-turn [ 23, 27], also a helical circle, characterized largely by the periodic arrays of intra-chain hydrogen-bonding [ 28].

Instead, she spent two years laboring on a single piano piece, guided by the mathematical methods of serialism that were in vogue in the academy.

A problem regarded in medieval times or before electronic computers became commonplace as very difficult may prove to be quite simple when attacked by the mathematical methods of today.

Fourth, the selection of the mathematical method by which the dynamical properties are reconstructed is crucial.

Based on the economic development above, there are two separate aspects of the problem: the mathematical method proposed by Lipsey and Lancaster, and the welfare and utility considerations discussed by Samuelson and Negishi.

This discussion is then followed by a review of the mathematical methods that have been used for simulations.

In this paper, the continuous energy flow behavior is discretized and energy flow is represented by the energy unit, since the mathematical methods associated with discrete coordinate axes make analytical treatment easier than those associated with the continuum.

IDF of freeform lens can be obtained by the proposed mathematical method, considering the effects of large DHR, extended source and near field target at the same time.