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conjecture and is
Whether or not Danchin is correct in suggesting that Thompson's resumption of the opium habit also dates from this period is, of course, a matter of conjecture.
Whether it could be as disastrous for American labor as, say, Jimmy Hoffa of the Teamsters, is a matter of conjecture.
Our conjecture is, then, that regardless of the manner in which school lessons are taught, the compulsive child accentuates those elements of each lesson that aid him in systematizing his work.
Because all clades are represented in the southern hemisphere but many not in the northern hemisphere, it is natural to conjecture that there is a common southern origin to them.
In some applications it is useful to be able to compute the Bernoulli numbers B < sub > 0 </ sub > through B < sub > p − 3 </ sub > modulo p, where p is a prime ; for example to test whether Vandiver's conjecture holds for p, or even just to determine whether p is an irregular prime.
A conjecture is a proposition that is unproven.
In mathematics, a conjecture is an unproven proposition that appears correct.
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.
Sometimes a conjecture is called a hypothesis when it is used frequently and repeatedly as an assumption in proofs of other results.
For example, the Riemann hypothesis is a conjecture from number theory that ( amongst other things ) makes predictions about the distribution of prime numbers.
Because many outstanding problems in number theory, such as Goldbach's conjecture are equivalent to solving the halting problem for special programs ( which would basically search for counter-examples and halt if one is found ), knowing enough bits of Chaitin's constant would also imply knowing the answer to these problems.
He is remembered today for Goldbach's conjecture.
Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach's conjecture.
In computability theory, the Church – Turing thesis ( also known as the Turing-Church thesis, the Church – Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis ) is a combined hypothesis (" thesis ") about the nature of functions whose values are effectively calculable ; or, in more modern terms, functions whose values are algorithmically computable.
Little is known of his life before he became a bishop ; the assignment of his birth to the year 315 rests on conjecture.
Mathematically, the conjecture states that the maximal Cauchy development of generic compact or asymptotically flat initial data is locally inextendible as a regular Lorentzian manifold.
Whether this formula produces an infinite quantity of Carmichael numbers is an open question ( though it is implied by Dickson's conjecture ).

conjecture and also
He also managed to make out individual point sources in some of these nebulae, lending credence to Kant's earlier conjecture.
The answer to this question turned out to be negative: in 1952, Gleason, Montgomery and Zippin showed that if G is a topological manifold with continuous group operations, then there exists exactly one analytic structure on G which turns it into a Lie group ( see also Hilbert – Smith conjecture ).
In 1958 Bing proved a weak version of the Poincaré conjecture: if every simple closed curve of a compact 3-manifold is contained in a 3-ball, then the manifold is homeomorphic to the 3-sphere .< ref > Bing also described some of the pitfalls in trying to prove the Poincaré conjecture.
Berry's conjecture has also been shown to be equivalent to an information theoretic principle of least bias.
In this case A is called the hypothesis of the theorem ( note that " hypothesis " here is something very different from a conjecture ) and B the conclusion ( A and B can also be denoted the antecedent and consequent ).
The Arnold conjecture on the number of fixed points of Hamiltonian symplectomorphisms and Lagrangian intersections were also a major motivation in the development of Floer homology.
The Novikov self-consistency principle, also known as the Novikov self-consistency conjecture, is a principle developed by Russian physicist Igor Dmitriyevich Novikov in the mid-1980s to solve the problem of paradoxes in time travel, which is theoretically permitted in certain solutions of general relativity ( solutions containing what are known as closed timelike curves ).
The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture ( after Stanisław Ulam ), Kakutani's problem ( after Shizuo Kakutani ), the Thwaites conjecture ( after Sir Bryan Thwaites ), Hasse's algorithm ( after Helmut Hasse ), or the Syracuse problem ; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers, or as wondrous numbers.
Paul Erdős said, allegedly, about the Collatz conjecture: " Mathematics is not yet ripe for such problems " and also offered $ 500 for its solution.
This is the content of the twin prime conjecture, which states There are infinitely many primes p such that p + 2 is also prime.
which is thus also a conjecture of Goldbach.
It is also known as the " strong ", " even ", or " binary " Goldbach conjecture, to distinguish it from a weaker corollary.
In fact, resolving the weak Goldbach conjecture will also directly imply that every even number n ≥ 4 is the sum of at most four primes .< ref >
This conjecture is known as Lemoine's conjecture ( also called Levy's conjecture ).

conjecture and supported
He may have been married, a conjecture supported by his writings.
Current wisdom has it that the massive coronal main sequence stars are late-A or early F stars, a conjecture that is supported both by observation and by theory.
" which argued that the " Bible, alongside our senses, supported the idea that the earth was flat and immovable and this essential truth should not be set aside for a system based solely on human conjecture ".
Regarding his abrupt disappearance, one conjecture is that his master was unhappy with his retainer's association with the demimonde of the kabuki theatre, instead of the more refined Noh theatre which the master supported.
This conjecture seems to be supported by Nozick's reputed support for " voluntary slavery ".
Modern costumers conjecture that it probably consisted of one or more large hoops with horizontal stiffeners which radiated from around the waist in order to produce a flat platter-like shape when supported underneath by the " bumroll " or " French Farthingale " described above.
This conjecture is supported by the presence of Datuidoc's Stone in the north aisle ( originally in the porch ), dating from around AD 550-600.
Precisely how the awning was supported is a matter of conjecture.

conjecture and by
One of the more dramatic successes of his theory was his prediction of the existence of secondary and tertiary alcohols, a conjecture that was soon confirmed by the synthesis of these substances.
* Crank conjecture, a term coined by Freeman Dyson to explain congruence patterns in integer partitions
At the moment, it is not known how the material is produced or if it remains stable without applied pressure, however, there is conjecture that it is possible to produce a new stable state of matter by compressing ultracold deuterium in a Rydberg state.
The most celebrated single question in the field, the conjecture known as Fermat's Last Theorem, was solved by Andrew Wiles but using tools from algebraic geometry developed during the last century rather than within number theory where the conjecture was originally formulated.
Woudhuizen revived a conjecture to the effect that the Tyrsenians came from Anatolia, including Lydia, whence they were driven by the Cimmerians in the early Iron Age, 750 – 675 BC, leaving some colonists on Lemnos.
Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.
The conjecture was disproven by L. J. Lander and T. R. Parkin in 1966 when they found the following counterexample for k
Another early published reference by in turn credits the conjecture to De Morgan.
This formula, the Heawood conjecture, was conjectured by P. J.
Beyond the Bible, considerable conjecture has been put forward over the centuries in the form of Christian and Rabbinic tradition, but such accounts are dismissed by modern scholars as speculative and apocryphal.
This conjecture, however, is discredited by the Oxford English Dictionary.
But Steinschneider will not admit the possibility of this conjecture, while Renan scarcely strengthens it by regarding " Andreas " as a possible northern corruption of " En Duran ," which, he says, may have been the Provençal surname of Anatoli, since Anatoli, in reality, was but the name of his great-grandfather.
If a definite statement is believed plausible by some mathematicians but has been neither proved nor disproved, it is called a conjecture, as opposed to an ultimate goal: a theorem that has been proved.
A conjecture developed by Cumrun Vafa, Amer Iqbal, and Andrew Neitzke in 2001, called " mysterious duality ", concerns a set of mathematical similarities between objects and laws describing M-theory on k-dimensional tori ( i. e. type II superstring theory on T < sup > k − 1 </ sup > for k > 0 ) on one side, and geometry of del Pezzo surfaces ( for example, the cubic surfaces ) on the other side.
This conjecture seems to be confirmed in the introduction of the first volume of the chronicles of Gallus Anonymus concerning the Pomeranians: Although often the leaders of the forces defeated by the Polish duke sought salvation in baptism, as soon as they regained their strength, they repudiated the Christian faith and started the war against Christians anew.
He was awarded the Bôcher Memorial Prize in mathematical analysis in 1964 for his paper " On a conjecture by Littlewood and idempotent measures ", and lends his name to the Cohen-Hewitt factorization theorem.
After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.
An exposition of attempts to prove this conjecture can be found in the non-technical book Poincaré's Prize by George Szpiro.
In 1961 Stephen Smale shocked mathematicians by proving the Generalized Poincaré conjecture for dimensions greater than four and extended his techniques to prove the fundamental h-cobordism theorem.
In these papers he sketched a proof of the Poincaré conjecture and a more general conjecture, Thurston's geometrization conjecture, completing the Ricci flow program outlined earlier by Richard Hamilton.

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