Sentence examples for by using the exactly from inspiring English sources

By using the exactly linearized measurement equations instead of the original nonlinear ones, the existing mixed integer nonlinear programming formulation for RSE is converted to a MILP problem.

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.

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

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.

The optical bandgap energy of all samples extracted by using the Swanepoel method data is exactly the same with the magnitudes extracted from the last data, which show that the interference in transmittance spectrum does not make noticeable changes in the absorption edge magnitudes.

(mathcal{J}) again is a monotone operator in the sense of Collatz, and similarly doing (underline{u}^{(1)}=mathcal{J}hat{u}), by using the monotone arguments go through exactly as before (cf. [12]), then we can obtain the following theorem.