Sentence examples for conjecture does not from inspiring English sources

We prove that this conjecture does not hold in general, and propose a slight improvement of it.

It is well known that in general, the Aizerman classical conjecture does not hold, see, e.g., [7].

Here, using an example in which the mean number of steps to a local optimum equals (A−1)/A, where A is the number of distinct "letters" in the "alphabet" from which sequences are constructed, it is shown that as originally stated, the conjecture does not hold.

Unfortunately 'Conjecture 2' does not hold as the next example shows.

Motivated by the fact that Example 10 shows that the proposed quasi-metric version of the Nemytskii-Edelstein fixed point theorem given in 'Conjecture 2' does not hold, we end the section focusing our attention on the study of the aforesaid version.

Thus, although large viruses are often presented as mainly evolving by recruiting genes from their hosts, this conjecture does not hold true for the CVs.

No one knows whether twin primes ever stop appearing but "The conjecture doesn't seem impossible to prove anymore," says Goldston, who gave a public presentation on the new proof at a number theory conference held from 18 to 21 May at the City University of New York.

Since the truth attested by each of the criteria is reflected in the phainomena, one must cling to these, employing them as "signs," and must "conjecture" whatever "does not appear".

Note that each forest ℱ i is the unique maximum-agreement forest for T i and T ′ i Now, by Equation 1, we have d rSPR (T 1, T ′ 1 ) + d rSPR (T 2, T ′ 2 ) + d rSPR (T ρ, T ′ ρ ) = 2 + 2 + 1 = 5 which is strictly greater than d rSPR (T, T ′ ) ; thus showing that Conjecture 2 does not hold.

From differential equations f ′ − 1 f − 1 = e z n, f ′ − 1 f − 1 = e e z, we see that when the hyper order σ 2 ( f ) of f is a positive integer or infinite, the conjecture of Brück does not hold.

A moment of conjecture: If Walter Scott does not fear that a routine traffic stop or owing money is going to lead to his arrest and possible imprisonment, does he flee from the officer?