Sentence examples for collect some properties from inspiring English sources

We collect some properties of CAT ( 0 ) spaces.

We collect some properties of the functions (phi_{v}).

In the next lemma, we collect some properties of the function defined in (3.13).

Now we collect some properties of w R (t, x) and w t, x) given in [1].

(See also [15].) We finally collect some properties of the eigenvalue problem ( L A ). Associated with a matrix A ∈ M 2 , there is a compact self-adjoint operator T A : E → E such that 〈 T A z, w 〉 = ∫ Ω ( A ( x ) z, w ) d x, z, w ∈ E. The compactness of T A follows from the compact embedding E ↪ L 2 × L 2.

We make the change of variables v = f − 1 ( u ), where f is defined by f ′ ( t ) = 1 ( 1 + ( 2 ϖ ) p − 1 | f ( t ) | p ( 2 ϖ − 1 ) ) 1 / p on  [ 0, + ∞ ), f ( t ) = − f ( − t ) on  ( − ∞, 0 ]. Thus we collect some properties of f. The function f ( t ) enjoys the following properties: (1) f is uniquely defined C 2 function and invertible.

The ones we don't like are where the banker takes his bonus and decides to collect some property in St Ives as an investment," says Toni Carver, editor of St Ives newspaper the Times & Echo.

A subset D of C is called a sunny nonexpansive retraction of C if there exists a sunny nonexpansive retraction from C onto D. The following lemma collects some properties of the sunny nonexpansive retraction.

Next, we give the concept of Δ-convergence and collect some basic properties.

In this section we collect some geometric properties of Banach spaces.

We collect some important properties of the differences of meromorphic functions in the following lemmas.