Sentence examples for a regular point of from inspiring English sources

Then we have the following assertions: (1) (x_{0}) is a regular point of (3.1).

Then y ∈ W 0 1, p is a regular point of the Lagrangian (4.1) in the sense of Definition  4.1.

If, then is said to be a regular point (of ) and the map is called conformal at.

It became a regular point of debate during and after the financial crisis when the legal tax affairs of wealthy residents was put under the spotlight.

Lemma 4.3 Let u ∈ A ad be a given element, and let y ∈ W 0 1, p be a regular point of the Lagrangian (4.1).

Proof It suffices to prove that if μ 2 is not an eigenvalue of ℜ, then μ 2 is a regular point of ℜ, i.e., μ 2 ∈ σ.

As main result of the present paper we show that for a generic choice of their parameters the generalized polar varieties of V are empty or equidimensional and smooth in any regular point of V.

therefore z 0 is a regular point in view of Theorem 4.1.

Let the neighborhood (B subset widetilde{H}) of a regular point (x in T^+) be such that all points of the intersection (B cap T^+) are regular.

end{aligned} (38) From (38), it is clear that (r ( x,t ) ) is a regular surface, that is, every point of it is a regular point.

Let now B be a neighborhood (open in (widetilde{H})) of a regular point (x in T^+).