Sentence examples for corresponding statements for from inspiring English sources

For μ>0, we hence prove the "if" part of the proposition by exemplarily showing that sup ( r i, p i ) ∈ S i λ T B i r i − μ T p i < ∞ for i=1 as corresponding statements for i=2,…,6 follow along the same lines.

and the second and third isomorphism theorem can be formulated and proven in a way very similar to the corresponding statements for groups.

The corresponding statement for triangulated categories is not true.

Finally, we define recurrent domains for semigroups in Sect. 5 and provide a classification of such domains under some conditions which are generalizations of the corresponding statements of Fornaess Sibony [5] for the iterates of a single holomorphic endomorphism of (mathbb C^k,; kge 2).

The core of the procedure just described is the following: Something is true for the natural numbers exactly when the corresponding statement holds for all simple infinities (i.e., is a semantic consequence of the Dedekind-Peano axioms).

Tables 2, 3 describe the clusters and the corresponding statements with median priority ratings for the clusters and mean priority ratings for the items, for LMs and HRM respectively.

The standards of quality for different study designs were derived from the corresponding statements, such as CONSORT, STROBE, STARD and TREND statement [7] [10].

The corresponding statements are left to the reader.

These perspectives are complemented by corresponding statements suggesting tasks of professional engineers world-wide.

We focused specifically on the agreement between statements about subgroup prespecification in the publication and corresponding statements in the protocols.

We have deleted and replaced the corresponding statements in the revised Abstract.