Sentence examples for stated the conjecture from inspiring English sources

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.

We then state the conjecture and give a sample of its many consequences and the few very partial results available.

In the same paper in which he stated the above conjecture, Snevily mentions that it seems hard to prove the above bound and states the following weaker conjecture.

In [1], the author stated the following conjecture.

To further this line of reasoning, they stated the following conjectures which link large gaps in the Orlov spectrum to birational invariants.

Similar to (4.7), we state the following conjecture that would also follow from Petty's conjectured projection inequality (see [75]).

Based on our results we state the following conjecture as an open problem.

About this, we state the following conjectures.

As a result, we propose a conjecture stating the connection of the pressure difference term to these multidimensional shock instabilities and hence a cure to those difficulties.

Wright states the idea as a conjecture; Kant integrated it in the correct Newtonian framework.

We stated a conjecture about the distribution of sizes of sets in randomly chosen antichains that appears to conform with, but not immediately follow from, known results about these combinatorial objects.