Sentence examples for by utilizing the condition from inspiring English sources

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Further, a coarse, but efficient measure of progressive collapse is provided by utilizing the condition number of the stiffness matrix for the damaged structure.

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Based on the solutions, linear algebraic equations about the state variables only at the inner and outer spherical surfaces are derived by utilizing the continuity conditions at each interface.

Furthermore, numerous trafficking-deficient LQT2 mutants with abnormalities of the C-terminus can be rescued by utilizing the aforementioned conditions.

By utilizing the initial values, the condition for SOF control problems can be solved by an improved path-following method.

Furthermore, a nanocomposite film based on Mn3O4/carbon foam was fabricated by utilizing the developed optimized conditions.

These findings indicate that the fibroblast cultures derived from HGPS subjects contain naïve stem cell precursors that can be isolated by utilizing the SKP culture conditions described above.

It should be noted here that by utilizing the weighted Ricci curvature condition Ric N ≥ c, Ohta and Sturm [1] and Ohta [6] gave another version of these theorems, which are more concise than the corresponding ones in [2] and [3].

Non-strict and strict bilinear matrix inequality (BMI -based roBMI -basedverobusthesis schemes are probservery utilizing the one-synthesisschemescondition, the concept of quareatic inner boundedness, the generalized Lyaprovidedeory for singular systems, and the L2 gain reduction.

To achieve the objective of enhanced noise to signal data separation, spectra of solvent blanks (representing noise) comprising 50 50 (v/v) mobile phases of 0.1% formic acid (A) and MeOH (B) were entered into the ANN models, where the process of model training and cross validation was reiterated by utilizing the same K-fold condition and three hidden nodes.

By utilizing the anti-periodic boundary condition (x(1) = - x(T)), it follows that c_{1} = -frac{1}{2} biggl[ I^{alpha}biggl( frac{1}{p}I^{beta}g_{x} biggr) (T) - I^{alpha}biggl( frac{r}{p}x biggr) (T) + c_{0} I^{alpha}biggl( frac{1}{p} biggr) (T) biggr].

Then by utilizing the boundary and continuity conditions of the pile soil system, the dynamic response of the pile is obtained in a closed form in the frequency domain.

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