Sentence examples for associated to sections from inspiring English sources

They defined the Hardy-Littlewood maximal operator (M_{mathcal{F}}) and (BMO_{mathcal {F}}(mathbb{R}^{n})) spaces associated to sections, and the weak ((1,1)) of (M_{mathcal{F}}) and the John-Nirenberg inequality for (BMO_{mathcal{F}}(mathbb{R}^{n})) were obtained.

More concretely, the canonical model of a surface of general type is directly obtained as the image, for (m ge 5), of the m-th pluricanonical map of S (associated to the sections in (H^0 ({mathcal {O}}_S (mK_S)))) as shown by Bombieri [54] (extended to any characteristic by Ekedahl [151], and in [93, 94]).

On the other hand, in vivo total excision of the medial meniscus associated to the section of the ACL allowed significantly greater increases in anterior displacement than those already increased by isolated section of the ACL [ 14].

This is because in type structure, beliefs are associated to types (see Section 2.3 above).

In spite of the narrow working sections associated to small electrode radii of R1=4 mm and R2=6 or 7 mm (gap=R2−R1=Δ=2 or 3 mm), a large enough Re (hence resolution Я down to 1 nm diameter particles) is achieved via a diffuser enabling up to transonic sheath gas speeds.

We finally apply our solution for managing the resources associated to a single radio cell (Section 6) and multiple cells (Sections 7 and 8) under different wireless communications traffic characteristic.

Convexity associated to means is discussed in Section 5.

PLM variations geared to the distance d, associated to test cases developed in Section 4, are illustrated on Fig. 4.

There is a correspondence between the solutions of (1.1) and the positive critical points of the Euler-Lagrange functional J associated to problem (1.1) defined in Section 2 of this paper.

This is done resorting to a Reconfigurator entity that is associated to the framework presented in Section 2. A Reflector entity, awaits for the system to reach a quiescent state; when such a state is attained, it makes the system reflect the changes by applying the reconfiguration script.

This is expected to affect the OS observed probably making this endpoint poorly associated to the IPC (see " Results" section).