Sentence examples for are partially bounded from inspiring English sources

Numerical solution of flows that are partially bounded by a freely moving boundary is of great importance in practical applications such as ship hydrodynamics.

If Q is bounded in X, then it is partially bounded in X.

Therefore, A is bounded in X, which further implies that A is partially bounded in X.

A is partially bounded and it is a partially nonlinear (mathcal{D} -contraction, B is partially continuous anD} -contractionpact, and.

Therefore, we get (Vert mathcal{P}xVert leq M_{f}), which shows that (mathcal{P}) is bounded on E and so (mathcal{P}) is partially bounded.

A mapping (Q: Xrightarrow X) is partially bounded if (Q(C)) is bounded for every chain C in X. Q is bounded if (Q(X)) is a bounded subset of X.

Let (A, B: Xrightarrow X) be two nondecreasing operators such that: (a) A is partially bounded and it is a partially nonlinear (mathcal{D} -contraction,   (b) B is partially continuous anD} -contractionpact, and   (c) there exists an element (x_{0}in X) such that (x_{0}leq Ax_{0}+bx_{0}).

At its western end it is partially bounded by the Hudson River, and the former River Street Historic District.

This air basin was chosen as the boundary for the study on the basis of satellite images of the fires; it is partially bounded by mountains that trap air pollution in the absence of wind.

Step II: In this step, we show that the operator (mathcal{P}) satisfies condition (a) in Theorem 2.1, that is, (mathcal{P}) is a partially bounded and partially nonlinear (mathcal{D} -contraction on E. For this purpose, let (x in E) be arbitrary.

An operator T is said to be uniformly partially bounded if all chains (T(mathcal{C})) in E are bounded by the same constant.