Sentence examples for which are extension from inspiring English sources

In this section, we extend the local Poincaré type inequalities into the global cases in the following L φ -averaging domains, which are extension of John domains and L s -averaging domain, see [15, 16].

Next, we extend the local Poincaré-type inequality into the global case in L ϕ -averaging domain, which are extension of John domains and L s -averaging domain, for more details see [5, 8, 9].

In real Banach space, we define new concepts of generalized invexity for non-differentiable functions and generalized invariant monotonicity for set-valued mappings which are extension and improvement of the corresponding definitions of [8, 9].

Instead, they enter their cars, which are extensions of the home.

The brain works by an electrochemical process in which information, including memory, is passed through billions of dendrites, which are extensions of neuron cells (like the branches of a tree).

Inequalities (1.6) and (1.8) are the equivalent forms of (1.5) and (1.7), which are extensions of (1.4).

Kawachi [11] proposed and mathematically analyzed deterministic models for rumor transmission, which are extensions of the deterministic D-K model.

In this paper we propose new accuracy estimation methods which are extensions of the k-fold cross-validation method.

The white colour results from fatty sheaths around the axons - which are extensions of the nerve cell bodies and help the cells to communicate.

In this case, we define new cost and allocative efficiencies, which are extensions of the prior definitions and are applicable to situations in which the input prices are not the same among DMUs.

Among different agent-oriented methodologies, we consider Tropos, because it is basically agent-based, in contrast to the other methodologies which are extensions of the existing object-oriented methodologies.