Sentence examples for verifies i from inspiring English sources

This verifies (i) of Theorem 3.1.

A partially ordered topological space ((X,tau,preceq)) is said to have the sequential g-monotone property if it verifies: (i) If ({x_{m}}) is a non-decreasing sequence and ({x_{m}}rightarrow x), then (gx_{m}preceq gx) for all m.   (ii) If ({y_{m}}) is a non-increasing sequence and ({y_{m}}rightarrow y), then (gy_{m}succeq gy) for all m.

We will deduce the existence of a solution to ( P 0 ) by supposing that the following hypotheses hold: ( H ˜ 1 ) For every i = 1, …, n, f i : ( J κ ) o × A → [ 0, + ∞ ), where A ⊂ ( 0, + ∞ ) × ⋯ n × ( 0, + ∞ ), verifies (i) For every x ∈ A, f i ( ⋅, x ) ∈ C r d ( ( J κ ) o ),   (ii) f i ( t, ⋅ ) is continuous on A uniformly in t ∈ ( J κ ) o.  .

"But until one bit of evidence can be verified I don't think it's possible to accuse the photographer of cheating," she said.

"I did get on much friendlier terms with the other prisoners after they discovered I could speak a little Arabic and verified I didn't have horns or anything," Mr. Berg said.

(It's a portrait I can verify: I knew her for 35 years, first as the editor of "The American Way of Death" and other books, but more as part of her very extended family.

"If I were a brand that was going to pay EWG to get verified, I would want some certainty that the marketplace won't become crowded with other stamps and labels that would make my EWG marker irrelevant," Brooks says.

Me: OMG! Her: Okay, app verified I'm legal.

Step one: To verify (i) of theorem 2.5 holds.

The proof is to verify I satisfies all the conditions of Theorem 3.4.

Proof: Since x + 1 divides x n + 1 mod 2 for any n, GCD x n + 1, p(x)) = 1 cannot hold true, verifying (i).