Sentence examples for be any point of from inspiring English sources

Let z be any point of (Omega_{3} (A)).

Let (N^) be any point of (partial mathcal{T}_{n}) and ϵ be any positive number.

Let P be any point of (mathfrak{C}_{n}(Gamma)) and ϵ be any positive number.

Let (P= r,Theta)) be any point of (mathfrak{C}_{n}(Gamma)) and ϵ be any positive number.

Let (W'=(l',Phi')) be any point of (partial{mathcal{T}_{n}(Gamma)}) and ϵ (>0) be any number.

We next investigate the uniform estimates in the neighborhood of Γ k 2 ′ ∗ ∩ D ¯ 2. Let x 0 be any point of Γ k 2 ′ ∗ ∩ D ¯ 2. [[2], Chapter 3, Section 16] and [13] show that there exists a ball K ρ with center at x 0 such that we can straighten Γ k 2 ′ ∗ ∩ K ρ out by introducing a local coordinate system y = y ( x ).

Throughout the day, if there was any point of agreement it was this: A continuing split would almost guarantee that the ultimate arbiters would be the Federal Election Commission, and in all likelihood, a federal court.

We first assume that (E_ u_{0}, v_{0})) is any point of system (1.2).

Since y is any point of C and r > 0, let y = v and this implies that Tv = v. (i)⇒ (ii): Take any x ∈ C and u ∈ F (T), and let x and u be fixed.

Similarly, if z is any point of (Omega_{1} (A)) or (Omega_{2} (A)), we can get sigma(A) in Omega_{1}(A) subseteqGamma(A) and sigma(A) in Omega_{2}(A) subseteqGamma(A).

Since S n k x ⇀ v and P F(T) Tkx → z, we get 〈v - z, u - z〉 ≤ 0. Since u is any point of F(T), we know that v = z = lim n → ∞ P F ( T ) T n x.