Sentence examples for extended the problem from inspiring English sources

Later, Wilcox [3] extended the problem to Abelian groups.

Xu [11] extended the problem into infinite-dimensional Hilbert spaces, and modified the CQ algorithm with Mann's iteration.

In a recent paper, Hachemi and Besombes (2013) extended the problem of retrieval sequencing for flow-rack AS/RS by integrating the product expiry date.

M. Rassias [4] extended the problem to ∥ f ( x + y ) − f ( x ) − f ( y ) ∥ ≤ ε ( ∥ x ∥ p + ∥ y ∥ p ) x, y ∈ E 1, for some ε ≥ 0 and some 0 ≤ p < 1. Subsequently, in 1994, P. Gavruta [5] generalized the problem to ∥ f ( x + y ) − f ( x ) − f ( y ) ∥ ≤ ϕ ( x, y ) with certain conditions imposed on the function ϕ.

In [6], Chen and Wang extended the problem (1.2) to the following system: u_{t} = f u) biggl(Delta u + aint_{Omega}{v, dx} biggr), qquad v_{t} = g v) biggl(Delta v + bint _{Omega}{u, dx} biggr),quad x in Omega,t > 0, (1.3) with homogeneous Dirichlet boundary condition.

But if mobile payments are limited to iPhone users, you've just extended the problems of inequality into the payment system.

Thus, we extend the problem to multiple constraints.

Moreover, we extend the problem by considering randomized targets.

In this paper, we are going to extend the problem in a sense.

Here, the necessary condition of optimality leads to a finite-dimensional optimisation problem which extends the problem of Hashin Shtrikman bounds, which can be solved explicitly, as well.

The particular simplicity of our approach results from using the closest point operator to extend the problem from the surface to the surrounding space.