This assertion was not true in the bacterial co-conservation networks.
Suppose on the contrary that the assertion is not true.
Proof Suppose that the assertion is not true, and let G be a counterexample of minimal order.
Suppose on the contrary that the assertion is not true for some β 1 = β ¯ 1 ≥ β 1 ∗.
Let us suppose that the assertion is not true; that is, the inequality (3.2) has an eventually positive solution Let be such that Then, it follows from (3.2) that (3.4).
If the assertion is not true, there exist (varepsilon >0) and a sequence of sets (E_jsubset Q_l), with (|E_j|=|B|), (D(E_j)rightarrow 0) and (alpha (E_j ge varepsilon >0) for all (jin mathbb {N}).
Mrs. Clinton's commercial implied that she was the only candidate that understood the struggles of the working class, but Mr. Obama's TV spot tries to make the case that her assertion is not true.
A set M is called starshaped if it is q-starshaped with respect to any q ∈ M. Clearly, each convex set M is starshaped but the converse assertion is not true.
This broad-stroke assertion isn't true.
Federal investigators have obtained documents showing that Kyle Sampson, then-chief of staff to Attorney General Alberto Gonzales, and Chris Oprison, then an associate White House counsel, drafted and approved the letter even though they had first-hand knowledge that the assertions were not true.
This assertion is not supported by any evidence.
