Sentence examples for by exactly using 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.

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

The corresponding boundary value problem is solved exactly by using complex potential functions.

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

These parameters can be expressed exactly by using of multi criteria function, while N x) is variable in the height of each segment.

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.

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.