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This conjecture was confirmed when he observed his skin to be hotter, his colour to be heightened, and his pulse quickened, whenever Stratonice came near him, while none of these symptoms occurred on any other occasion ; and accordingly he told Seleucus that his son's disease was incurable, for that he was in love, and that it was impossible that his passion could be gratified ; The king wondered what the difficulty could be, and asked who the lady was.
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conjecture and was
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.
His attitude towards conjectures was that one should not dignify a guess as a conjecture lightly, and in the Taniyama case, the evidence was only there after extensive computational work carried out from the late 1960s.
‘‘ The most prevalent conjecture was that they were some of the German peoples which extended as far as the northern ocean ,</ br >
Although Tiberius was 77 and on his death bed, some ancient historians still conjecture that he was murdered.
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.
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
* In the 1960s, EDSAC was used to gather numerical evidence about solutions to elliptic curves, which led to the Birch and Swinnerton-Dyer conjecture.
The conjecture was first proposed in 1852 when Francis Guthrie, while trying to color the map of counties of England, noticed that only four different colors were needed.
This formula, the Heawood conjecture, was conjectured by P. J.
In 1973 the number theorist Hugh Montgomery was visiting the Institute for Advanced Study and had just made his pair correlation conjecture concerning the distribution of the zeros of the Riemann zeta function.
Gin, though, was blamed for various social problems, and it may have been a factor in the higher death rates which stabilized London's previously growing population, although there is no evidence for this and it is merely conjecture.
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.
In fact, whether one can smooth certain higher dimensional spheres was, until recently, an open problem — known as the smooth Poincaré conjecture.
Yusuf Ali ’ s translation reads " That they said ( in boast ), " We killed Christ Jesus the son of Mary, the Messenger of Allah ";― but they killed him not, nor crucified him, but so it was made to appear to them and those who differ therein are full of doubts, with no ( certain ) knowledge, but only conjecture to follow, for of a surety they killed him not .― ( 157 ) Nay, Allah raised him up unto Himself ; and Allah is Exalted in Power, Wise.
" And while the conjecture may one day be solved, the argument applies to similar unsolved problems ; to Brouwer, the law of the excluded middle was tantamount to assuming that every mathematical problem has a solution.
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.
The Poincaré conjecture, before being proven, was one of the most important open questions in topology.
conjecture and confirmed
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.
In 1897, J. J. Thomson confirmed Stoney's conjecture by discovering the first subatomic particle, the electron ( now denoted e < sup >−</ sup >).
Despite the discovery and exploration of the Solar System and centuries of conjecture, it remained this way until the first confirmed detection of extrasolar planets during the 1990s.
The total energy carried by these tachyons has been calculated in string field theory ; it agrees with the total energy of the D-branes, and all other tests have confirmed Sen's conjecture as well.
The conjecture that there was an amphitheater in the city is confirmed by a passage from the fifteenth-century Vita di Skanderbeg by Marin Barleti: " amphitheatrum mira arte ingenioque constructum ".
The former conjecture became established fanon, and was taken up in the spin-off media and was eventually confirmed by the official BBC website.
Melchior's proof showed that raised the question of whether approaches infinity with n. confirmed this conjecture by proving that.
Searches of this type by Allan Swett confirmed that the conjecture is true for all n up to 10 < sup > 14 </ sup >.
conjecture and when
Sometimes a conjecture is called a hypothesis when it is used frequently and repeatedly as an assumption in proofs of other results.
First, an example of M code from 2010, a solution to a benchmarking exercise based on calculating the longest sequence encountered when calculating the longest sequence of the Collatz conjecture for a range of integers.
This problem seems to have lain dormant for a time, until J. H. C. Whitehead revived interest in the conjecture, when in the 1930s he first claimed a proof, and then retracted it.
This formula has been rigorously proven to be asymptotically valid for c ≥ 3 from the work of Vinogradov, but is still only a conjecture when.
:: Example: It is precisely this kind of conjecture and hair-splitting that the Supreme Court wanted to avoid when it fashioned the bright-line rule in Miranda.
Alternatively, the first philosopher can modify their claim so that the counterexample no longer applies ; this is analogous to when a mathematician modifies a conjecture because of a counterexample.
Thought experiments are almost standard procedure in philosophy, where a conjecture is tested out in the imagination for possible effects on experience ; when these are thought to be implausible, unlikely to occur, or not actually occurring, then the conjecture may be either rejected or amended.
Shooter wrote the story in which Ferro Lad died – the first " real " death of a Legionnaire ( although Lightning Lad had been believed dead for a while before ) – and introduced many other enduring concepts, including the Fatal Five, Shadow Lass, the Dark Circle, Mordru, and the " Adult Legion ", a conjecture regarding what the Legionnaires would be like when they grew up.
Roughly speaking, the Langlands reciprocity conjecture is the special case of the functoriality conjecture when one of the reductive groups is trivial.
The conjecture attracted considerable interest when suggested that the Taniyama – Shimura – Weil conjecture implies Fermat's Last Theorem.
* The epigraph of Edgar Allan Poe's " The Murders in the Rue Morgue " ( 1841 ) is from Browne's Hydriotaphia ,( Chap. 5 ): " What song the Syrens sang, or what name Achilles assumed when he hid himself among women, although puzzling questions, are not beyond all conjecture ".
: What Song the Syrens sang, or what name Achilles assumed when he hid himself among women, though puzzling Questions are not beyond all conjecture.
Some sentences of the 5th chapter were cited by Edgar Allan Poe at the beginning of The Murders in the Rue Morgue: " What Song the Syrens sang, or what name Achilles assumed when he hid himself among women, though puzzling Questions are not beyond all conjecture.
It had probably not seemed plausible that there would be ' enough ' such rational factors, before the conjecture was enunciated ; and in fact the numerical evidence was slight until around 1970, when tables began to confirm it.
It is difficult to conjecture when the parish of Little Bookham was formed.
Assuming something to be true for all numbers when it has been shown for over 906 million cases would not generally be considered hasty, but in mathematics a statement remains a conjecture until it is shown to be universally true.
This proves the Hodge conjecture when X has dimension at most three.
They conjecture that the game is a draw also when the number of cell is at least twice the number of lines, which happens if and only if 2 k ^ n ≥ ( k + 2 )^ n.
In much the same way, when a mathematician discovers that one of his conjectures is false, and since if it is mathematically false it is impossible, he would say he only claimed that the conjecture was true.
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