Sentence examples for each of the basis from inspiring English sources

A natural frequency selection procedure is introduced that can be used to associate each of the basis functions with a single natural frequency.

for each of the 10, 000 examples, where the subscript J stands for each of the basis reduction methods, namely, LLL, SLLL and DEEP, respectively.

Second, it shows that the gradual reduction of differences among the price estimates for each of the basis due to the incremental increase in the number of simulated paths is a direct result of the law of large numbers.

For all of the Amerasian options priced, and for each of the basis used, the convergence of the price estimate results from the decrease of the standard deviation while the number of simulated paths increases.

In terms of practical implementation, Tri-PSPS are a parallel computing friendly spline scheme, which can be easily implemented on modern programmable GPUs or on high performance computer clusters, since each of the basis functions of Tri-PSPS can be directly computed independent of each other in parallel.

If we assume that the derivative of a vector-valued function retains the linearity property, then the derivative of 'y'(t) must be :y'_1 t)\mathbf{e}_1 + \cdots + y'_n(t)\mathbf{e}_n because each of the basis vectors is a constant.

Of the 209 farms sampled, only 13 were categorized as having seronegative cattle, each on the basis of the single paired sample that was available.

NLH workers and their employers each contribute 2% of the basis.

each subspace contains a subset of the basis.

In addition, a response was assigned to each patient on the basis of each of the three sets of imaging response criteria (UICC, WHO, and MDA) (Table 1).

Latent class models estimate the prevalence and accuracy of each test on the basis of the observed frequency of the possible combinations of test results.