To Winterborne all this was sadder than it was sweet.How could she so trust her father's conjectures?He did not know how to tell her the truth and shame himself.…Cited from The Woodlanders, by Thomas Hardy

Then a necessary condition is that for almost all prime numbers p, the system defined by reduction modulo p should also have a full set of algebraic solutions, over the finite field with p elements.Grothendieck's conjecture is that these necessary conditions, for almost all p, should be sufficient.The connection with p-curvature is that the mod p condition stated is the same as saying the p-curvature, formed by a recurrence operation on A, is zero; so another way to say it is that p-curvature of 0 for almost all p implies enough algebraic solutions of the original equation.…

Perhaps themost famous, still open problem of the theory of topological algebras is whether all linear-multiplicative functional on a Frechet algebra are continuous.The statement that this be the case is known as Michael's Conjecture.…

The sentence is at last, as THEOBALD remarks, abrupt, but perhaps no less suitable to Shakespeare.I know not whether Dr. WARBURTON's conjecture be not better than mine.…Cited from Notes to Shakespeare, Vol. III: The Tragedies, by Samuel Johnson

In retirement, he now runs a sophisticated self-designed program that helps micro-analyze statistical behavior of the up-and-down pricing movement that underlies the pricing behavior of the futures market.He is also doing work on Oppermann's conjecture about the distribution of prime numbers.…

However, the physician's conjectures were of an entirely different nature."What can there be in that escritoire which she desires to conceal?" he thought.…Cited from The Count's Millions, by Emile Gaboriau

Here \rho is the rank of the Picard group of V and c is a positive constant which later received a conjectural interpretation by Peyre.Manin's conjecture has been decided for special families of varieties, but is still open in general.…

Of these three properties, Zooko's conjecture states that no single kind of name can achieve more than two.

In the decades after Otto Jesse's death in 1901, there were few new insights into the nature of noctilucent clouds.Wegener's conjecture, that they were composed of water ice, was later shown to be correct.Study was limited to ground-based observations and scientists had very little knowledge of the mesosphere until the 1960s, when direct rocket measurements began.…

Lennart Axel Edvard Carleson (born 18 March 1928) is a Swedish mathematician, known as a leader in the field of harmonic analysis.One of his most famous achievements is his proof of Lusin's conjecture.…

Although significant progress has been made, the conjecture is still unresolved as of May 2014.In fact, there is no single value of a for which Artin's conjecture is proved.…

Other than Lady Diantha and the gossips whose arguments she was retailing, never a soul (so far as Sofia knew) had ventured to breathe a breath of suspicion upon the good repute of Monsieur Lanyard.In short, Diantha's conjectures had been entirely second-hand, and not even meant to be taken seriously.And yet the suggestion had fastened firm hold upon the imagination of the Princess Sofia.…Cited from Red Masquerade, by Louis Joseph Vance

Thus, Cannon's conjecture would be true if all such subdivision rules were conformal.

Frank's conjecture turned out to be correct, for it was nearly a week before the lieutenant concluded that his work in the town was done.Then the column took up its march in a jubilant mood, for their comrade, who was a prime favorite in the regiment, had been rescued and the work had been done in the deft and finished way that marked the traditions of the American Army.…Cited from Army Boys on German Soil, by Homer Randall

The weak form of Hall's conjecture would follow from the ABC conjecture.A generalization to other perfect powers is Pillai's conjecture.…

And Sir Dudley Ryder, while of opinion that the matter was one "of mere discretion in His Majesty" and generally approving the measure, thought it probable that the person in question might even then "be gone beyond sea."Mr. Attorney's conjecture was, as we shall find, correct.There is an interesting letter from one Mr. Wise to Mr. Sharpe, Solicitor to the Treasury, giving us a glimpse of Miss Blandy in prison.…Cited from Trial of Mary Blandy, edited by William Roughead

The sound of some one approaching from the direction of the castle interrupted Bobby's conjectures.Maggie would have made another frantic effort to escape, but the boy caught her roughly and drew her down beside him.…Cited from Helen of the Old House, by Harold Bell Wright

Then came the consideration: The fairies lived in hollow hillocks and under the ground: what kind of dwellings are the Picts supposed to have occupied?The answer to this question still further strengthened Mr. Campbell's conjecture.…Cited from Fians, Fairies and Picts, by David MacRitchie

Thus, Rota's conjecture is true in this case as well.As a consequence of this result and of the forbidden minor characterization by of the regular matroids (matroids that can be represented over all fields) it follows that a matroid is regular if and only if it is both binary and ternary.…

She also proved the first Morita conjecture and a restricted version of the second.Her last major result was a proof of Nikiel's conjecture.…