Sentence examples for maps we refer from inspiring English sources

For characterizations of cone-convexity and cone-quasiconvexity for set-valued maps, we refer to [3, 9] and the references therein.

For more results on cyclic maps, we refer the reader to [3 9] and the references therein.

For more details on multivalued maps, we refer the interested reader to the books [21 24].

For some recent results on multivalued maps, we refer the reader to the articles [55, 56].

For more details on multi-valued maps we refer to the books of Deimling [24], Górniewicz [25], Hu and Papageorgiou [26], and Tolstonogov [27].

We make use of a cone of functions that are allowed to change sign combined with the classical fixed point index for compact maps (we refer to [18] or [15] for further information).

As we used bubble form chart in the community map, we refer the nodes as bubbles in the following paragraphs.

In this paper, we use F ( T ) to denote the set of fixed points of T. Recall that T is said to be nonexpansive iff ∥ T x − T y ∥ ≤ ∥ x − y ∥, ∀ x, y ∈ C. For the existence of fixed points of a nonexpansive mapping, we refer readers to [30].

In this paper, we use F ( S ) to denote the set of fixed points of S. Recall that S is said to be nonexpansive iff ∥ S x − S y ∥ ≤ ∥ x − y ∥, ∀ x, y ∈ C. For the existence of fixed points of a nonexpansive mapping, we refer the readers to [5].

The map we refer to here is an average over multiple embryos; smaller variability in tissue deformation between embryos from the average map indicates that the morphogenetic process is more robust and deterministic.

Now, with the rapid improvement of short-read assembly algorithms and the development of third-generation long-read sequencing technologies, split-read or split-contig mapping (we refer to both as SRM) will soon be the preferred method.