Sentence examples for order of contact from inspiring English sources

Suppose further that the maps f n all have order of contact k.

We expect that the interested reader will be able to generalize Theorem 4 to maps with higher order of contact.

As a corollary, the equality of the order of contact of the boundary with complex analytic varieties (the D'Angelo type) and the order of contact with complex lines is demonstrated.

Let (f n ) be a uniformly attracting sequence of automorphisms of, and suppose that the maps f n all have order of contact k.

Here, a map f has order of contact k if f z)=l z)+O ∥z∥ k ), where l z) is linear.

Let p∈S be a CR singularity at which the order of contact of the tangent plane with S is greater than 2; i.e. a degenerate CR singularity.

The connectivity pattern in this case uses the complete contact information of participants throughout the study as a dynamic graph, preserving the chronological order of contacts.

89% (4665/5223) of respondents who had had an unscheduled episode provided data on the number and order of contacts with services for their most recent unscheduled episode.

In late 2016, a senior Cafcass official urged the court to make a final order of no contact, saying any contact may feed the man's obsession and place mother and child at risk.

Depending on the order n of contact, the condition (8) ∂ j ∂ v j f (B (u, v ) ) | v = 0 = 0 for j ∈ { 1, …, n } provides the Hermite boundary data ∂ i ∂ v i h (u, v ) | v = 0 of the bubble function h for j ∈ { 1, …, n } as follows.

HET disregards information on the time of occurrence and on the temporal ordering of contacts.