Sentence examples for many critical points from inspiring English sources

Other than the officers, there was one eyewitness to the shooting, Schrrie Elliott, but her testimony was contradictory on many critical points.

Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow.

Science in the Service of Human Rights presents a new framework for debate on such controversial questions surrounding scientific freedom and responsibility by illuminating the many critical points of intersection between human rights and science.

"When you are dealing with a governmental agency, many critical points are matters of public concern," said Justice Anthony M. Kennedy, who traditionally is the most likely of the court's conservatives to join with liberals to form a majority.

Therefore, φ has infinite many critical points.

By Lemma 5, φ possesses infinitely many critical points.

Thus, by Theorem 2.1, Ψ has infinitely many nontrivial critical points, that is, system (1.1) possesses infinitely many homoclinic solutions.

By Lemma 2.3, we see that Ψ possesses infinitely many nontrivial critical points, that is, system (1.1) possesses infinitely many nontrivial homoclinic orbits.

Direct computation shows that b k ≤ − r k 2 2 < 0, ∀ k ∈ N. Thus, by Theorem 2.1, Ψ has infinitely many nontrivial critical points, that is, system (1.1) possesses infinitely many homoclinic solutions.

Although in theory many critical control points and potential failures in dairy processing have been described during the production of SRC, very few outbreak investigations have successfully identified and described the route of contamination of SRC during postpasteurization processing steps.

Then Ψ possesses infinitely many nontrivial critical points.