Sentence examples for conjectures of the from inspiring English sources

Meanwhile, Gerhard Frey of Germany had pointed out that, if Fermat's last theorem is false, so that there are integers u, v, w such that up + vp = wp (p greater than 5), then for these values of u, v, and p the curve y2 = x(x − up)(x + vp) has properties that contradict major conjectures of the Japanese mathematicians Taniyama Yutaka and Shimura Goro about elliptic curves.

However, grue-bleen speakers would agree that the aim of reliably settling on a correct generalization requires the natural projection rule rather than the gruesome one, even if they would want to express the conjectures of the natural rule in their grue-bleen language rather than the blue-green language that we have used so far.

While a more rigorous analysis to determine the heat transfer velocity is yet to be discussed, this estimation is consistent with the conjectures of the characterisitc heat propagation velocity being on the scale of the sound propagation velocity of an order 103 m/s of both in a liquid medium [22] and in a colloidal medium [37, 38].

Overall, the evidence fails to confirm the conjectures of the demographic transition in Africa.

Certain conjectures of the dual-process theory have subsequently been verified in a variety of invertebrate and mammalian brain systems [ 17- 30].

Conjectures of the potential for increased under- or over-estimation of exposure and for increased misclassification at higher concentration needs verification.

It is to the credit of Mr. Bowles and the de Young museum that the conjectures of this exhibition seem so convincing.

-Does this data confirm the main pre-mission conjecture of the scientists, and why? -Why would this discovery be considered monumental?

This means that in addition to reporting that our nation's fifth vice president was Elbridge Gerry and that the gift of a daffodil represents unrequited love, Gruber's Almanack also provides "conjecture of the weather and other astronomical information".

Mrs. Vestal answered, 'Yes, and thee will get thee head shot off thy shoulders too.'" Ham comments, "Whether or not the spirit of prophecy was upon Mrs. Vestal, we leave to the conjecture of the reader".

Thus Gödel's conjecture of the independence of the continuum hypothesis was eventually confirmed.