Sentence examples for regularity points from inspiring English sources

Theorem 4.1 (Description of regularity points).

The proof is complete if we show that such points are regularity points.

Theorem 1.1 Let u ∈ L m ( − T, 0 ; W 1, m ( Ω, R N ) ) ∩ L ∞ ( Q T ; R N ) be a weak solution to system (1.9) under the assumptions (H1 - H4) and the natural growth condition (H5) and denote by Q 0 the set of regularity points of u in Q T : Q 0 = { z ∈ Q T : D u ∈ C β, β / 2 ( O, R n N ), O ⊂ Q T is a neighborhood of z }.

On the basis of the iteration lemma we get the boundedness of the functional, which leads to the desired regularity in points while the excess quantity is small.

The coefficient of variation of the ISIs, a value used widely as an indicator of regularity in point processes (Johnson 1996), was also calculated.

The task of morphometry is to discover biological regularities and point out their dependence.

The Wiener type regularity of boundary points for the Dirichlet problem was considered in [3].

Morisot began selling works with some regularity from this point on.

Vulgar and crass, Lily is a lush who lets inappropriate comments spill out of her mouth with alarming regularity (at one point, referring to her young daughter, she says, "this one has that dyke look – she looks like a teamster").

It is well-known that the Lipschitz coefficient gives information about the (possibly) noisy nature as well as the regularity of each point [19].

Values of the F function greater than the Poisson value suggest that there is regularity in the point pattern, while lower values suggest clustering.