Conjecture

In mathematics, any number of cases supporting a conjecture, no matter how large, is insufficient for establishing the conjecture's veracity, since a single counterexample would immediately bring down the conjecture.

As one example of this conjecture the letter to Weil raised the possibility of solving the well known conjecture of Emil Artin regarding the behaviour of Artin's L -functions, a hope partly realized in Langlands' later work on base change.

Coase Conjecture Another important contribution of Coase is the Coase Conjecture : an informal argument that durable-goods monopolists do not have market power because they are unable to commit to not lowering their prices in future periods.

Dynamic optimality conjecture main In addition to the proven performance guarantees for splay trees there is an unproven conjecture of great interest from the original Sleator and Tarjan paper.

Hauptvermutung main The Hauptvermutung (German for main conjecture) of geometric topology is the conjecture that any two triangulations of a triangulable space have a common refinement, a single triangulation that is a subdivision of both of them.

He picked up another credited Weil conjecture, around 1967, which later under pressure from Serge Lang (resp. of Serre) became known as the Taniyama–Shimura conjecture (resp.

Historically, while the conjecture in dimension three seemed plausible, the generalized conjecture was thought to be false.

However, the failure to find a counterexample after extensive search does not constitute a proof that no counterexample exists nor that the conjecture is true, because the conjecture might be false but with a very large minimal counterexample.

Included in this work was the so-called Goldbach conjecture (every even integer is the sum of two primes), and also the following conjecture: every odd integer is a prime or the sum of three primes.

In dimension three, the conjecture had an uncertain reputation until the geometrization conjecture put it into a framework governing all 3-manifolds.

In On a conjecture of Littlewood and idempotent measures (1960) Cohen made a significant breakthrough in solving the Littlewood Conjecture. citation.

Polignac's conjecture is a strengthening of that conjecture, it states that for every positive integer n, there are infinitely many pairs of consecutive primes that differ by 2n.

Supporting arguments Although the conjecture has not been proven, most mathematicians who have looked into the problem think the conjecture is true because experimental evidence and heuristic arguments support it.

The papers are not an actual proof of Maldacena's conjecture for all cases but a demonstration that the conjecture works for a particular theoretical case, verifying the AdS/CFT correspondence for a particular situation.

The Ramanujan conjecture main Although there are numerous statements that could have borne the name Ramanujan conjecture, there is one that was very influential on later work.

There are several corollaries of the dynamic optimality conjecture that remain unproven: :Traversal Conjecture: Let and be two splay trees containing the same elements.

This conjecture is known as the dynamic optimality conjecture and it basically claims that splay trees perform as well as any other binary search tree algorithm up to a constant factor.

While the weak Goldbach conjecture appears to have been finally proved in 2013, citation citation the strong conjecture has remained unsolved.

As conjecture over her political future grows, Lake told the New York Times in February that she is considering running for the U.S. Senate in Arizona, even as she is focused on the legal case surrounding her gubernatorial campaign.

Conjecture about Mixon’s status focused on the fact that cutting him with a post-June 1 designation would provide the team with over $10 million in cap space and that of saying that Mixon would remain on the roster for the regular season.