Sentence examples for by applying the mapping from inspiring English sources

The output image not only preserved the overall brightness but also obtained the comfortable visualization by applying the mapping function as given in Equation 12.

One can find the height of a function (fin mathbb {F}_p^{X^n}) "from the other end" by applying the maps (T_{b_k'}), defined in Sect.

The achieved unit cell is further mapped to the 3D quad meshes on a free-form surface by applying the conformal mapping method which can preserve the local shape and angle during the mapping.

This is done through proposing four Binary variants of the FPA (BFPA) that have been got by applying the principal mapping techniques existing in the literature.

In particular, by applying the following mapping: (5.1).

Finally we consider the existence of a unique solution for problem (1.1) by applying the contraction mapping principle.

Some sufficient criteria for the existence of solutions are obtained by applying the contraction mapping principle and the fixed point theorem.

By applying the contraction mapping principle and the other fixed point theorem, we obtain the existence and uniqueness of solutions for boundary value problems (simply denoted by BVP).

By applying the contraction mapping principle and the other fixed point theorem, the author obtains the existence and uniqueness of solutions.

By applying the contraction mapping fixed point theorem and exponential dichotomy, we establish sufficient conditions for the existence of a unique almost periodic positive solution.

By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs.