Sentence examples for definite solution for from inspiring English sources

Calling for sustainability as a definite solution for all Environmental Challenges inspire this research to emphasis the priority of increasing the efficiency of the sustainable built environment with the intent of cutting carbon emissions.

Although some attempts are being made to 'a priori' decide which kernel function is more suitable for a problem, no definite solution for this task has been found yet, since choosing the best kernel very often reduces to a selection among different possibilities by a cross-validation process.

Applying Lemma 2.3, in [1], it is proved that Equation (1.2) has a unique positive definite solution for (r = 1).

In [6], the authors proved that Equation (1.5) always has a unique Hermitian positive definite solution for every fixed r.

The iterative algorithms for obtaining positive definite solutions for these equations are proposed.

The following theorem proves the existence of positive definite solutions for Equation (1.1), based on the Brouwer fixed point theorem.

Several conditions for the existence of positive definite solutions and some iterations to find maximal positive definite solutions for these equations were discussed.

Ivanov et al. [15] derived sufficient conditions for the existence of positive definite solutions for the matrix equations (Xpm A^X^{-2}A=I) and they proposed iterative algorithms for obtaining positive definite solutions of these equations.

Hasanov [19] established and proved theorems for the necessary and sufficient conditions of the existence of positive definite solutions for the matrix equations (Xpm A^X^{-q}A=Q) with (0< qleq1), he showed that the equation (X- A^X^{-q}A=Q) has a unique positive definite solution by using the properties of matrix sequence in Banach space.

Duan et al. [20] gave two perturbation estimates for the positive definite solution of the equation (X-sum_{i=1}^{m}A_{i}^X^{delta_{i}}A_{i}=Q) with (0 < |delta_{i}|< 1).

In this way a positive definite solution of the Hamilton-Jacobi-Bellman inequality for sooving the nonhnear H2-controller design for this type of systems can be found.