Sentence examples for now stated for from inspiring English sources

The following result, proved in [[11], Lemma 3.2], is now stated for X ∈ X μ 1 ( M ) instead of X ∈ X μ 4 ( M ) because of the improved smooth C 1 pasting lemma proved in [[12], Lemma 5.2].

Rule 8.1.3 of technical and competition rules, relating to boxers' uniform, now states: "For all AIBA approved events, women boxers must wear... either shorts or the option of a skirt".

The main text now states: "For this [DSB overlap] analysis, we focused on NCO events rather than single NCO sites, and report an event as overlapping a DSB if any NCO site within it overlaps a DSB".

Existence in Section 2 will also be based on the topological transversality theorem (see [5, 7] for the history of this result) which we now state here for the convenience of the reader.

As an important step, our datacentre siting policy now states a preference for access to clean and renewable energy".

We now state three results for competitive maps in the plane.

We now state this theorem for a general Hamiltonian system in (mathbf{R}^{2N}).

We will now state the criterion for isomorphism of Artinian Gorenstein algebras obtained in [6],[6]].

We now state the strong maximum principle for F. For a proof, see [25, Theorem 2.6].

We now state Suzuki's condition for multivalued mappings as follows.

According to such a definition, we can now state our existence results for problem (1.1).