Sentence examples for by exactly using the from inspiring English sources

Hence, these two linear subsystems involved in each step of the nonlinear MHSS-like iteration can be solved effectively by exactly using the Cholesky factorization.

This model is solved exactly by using the ambiguity function.

The governing differential equations are solved exactly by using the initial value method.

The solution is obtained exactly by using the initial value method.

The governing differential equations for out-of-plane vibration of uniform circular beams are solved exactly by using the initial value method.

Results show that the displacement and deformation of slope are large deformation cases, the distribution of strain of slope can be gotten exactly by using the finite deformation theory.

which can be calculated exactly by using the CDF of θ k as given in (13).

Because of the capability of a triangular function to suppress noise of the inputs, the proposed filter is still able to detect maneuvers exactly by using the fuzzy system.

It is also known that the symbol/bit error rates for the higher order modulation methods like M-QAM can be approximated or even in some cases expressed exactly by using the very same complementary error function (text {erfc}(sqrt {z})), after some simple scaling.

The calculated p-value, which measures the significance of deviation from the null hypothesis that the gene is not differentially expressed, is computed exactly by using the hypergeometric probability of observed or more extreme differences while keeping the marginal sums in the contingency table unchanged.

GSC cannot be exactly evaluated by using the TNM classification for gastric cancer, owing to the interfering of previous operation.