However, when Yakko tells her this story at bedtime, he makes it sound a lot like a fairy tale, but there is no proof that it is ( also the fact that the movie is in a different canon than the show, this point could be null and void ).

When he hears their whole tale of chaste love and long promises to one another, he demands proof of her virginity by having her put her hands in a water that will stain if she has been with a man.

The final lines of the ballad insist upon the veracity of the tale and even that the children's bones may be seen for proof displayed at the Cheshire Cheese.

Reports without physical proof are considered dubious if from non-scientists, as such individuals may at worst be more interested in promoting themselves or telling a good tale, or at the least may not be sufficiently trained in proper measurement methods.

Chaucer's grasp of alchemy seems very accurate and in the 17th century the tale was cited by Elias Ashmole as proof that Chaucer was master of the science.

The proof of the independence result also shows that a wide class of mathematical statements, including all statements that can be phrased in the language of Peano arithmetic, are provable in ZF if and only if they are provable in ZFC.

In calculus, this picture also gives a geometric proof of the derivative if one sets and interpreting b as an infinitesimal change in a, then this picture shows the infinitesimal change in the volume of an n-dimensional hypercube, where the coefficient of the linear term ( in ) is the area of the n faces, each of dimension

As with the finiteness theorem, he used an existence proof that shows there must be solutions for the problem rather than providing a mechanism to produce the answers.

In fact, the same proof shows that Euler's formula is even valid for all complex numbers z.

Hilbert produced an innovative proof by contradiction using mathematical induction ; his method does not give an algorithm to produce the finitely many basis polynomials for a given ideal: it only shows that they must exist.

84 ) on the annunciation and virgin birth of Jesus shows how Justin used harmonized gospel verses from Matthew and Luke to provide a scriptural proof of the messiah-ship of Jesus based on fulfillment of the prophecy of Isaiah 7: 14.

Such a proof shows that unless the attacker solves the hard problem at the heart of the security reduction, they must make use of some interesting property of the hash function to break the protocol ; they cannot treat the hash function as a black box ( i. e., as a random oracle ).

No mathematical proof has been found that shows that an equally fast classical algorithm cannot be discovered, although this is considered unlikely.

The next day, David stands atop a slope opposite Saul's camp ; he shows the jug and spear as proof that he could have slain Saul but did not.

The following construction of the Vitali set shows one way that the axiom of choice can be used in a proof by transfinite induction:

This proof also shows that the quotient of the orders | G | / | H | is equal to the index: H ( the number of left cosets of H in G ).

Wherefore the King, by most cogent proof, shows him that the blame rests not with him, but with the knight's own evil fortune ; after which, he bestows upon him a noble gift.

( so must be positive definite, as the proof shows, in fact it is enough that is symmetric ).

What is viewed as possible proof that the tomb indeed did belong to Philip II and that the surviving bone fragments are in fact the body of Philip II comes from forensic reconstruction of the skull of Philip II by the wax casting and reconstruction of the skull which shows the damage to the right eye caused by the penetration of an object ( historically recorded to be an arrow ).

A similar proof shows that every Boolean ring is commutative:

The characteristic sickle-gloss shows that they have been used to cut the silica-rich stems of cereals and form an indirect proof for incipient agriculture.

One proof of the impossibility of finding a planar embedding of K < sub > 3, 3 </ sub > uses a case analysis involving the Jordan curve theorem, in which one examines different possibilities for the locations of the vertices with respect to the 4-cycles of the graph and shows that they are all inconsistent with a planar embedding.

This proof shows the book precisely as it will appear once printed and is the final opportunity for the publisher to find and correct any errors.

The proof of the theorem shows that a randomly constructed error correcting code is essentially as good as the best possible code ; the theorem is proved through the statistics of such random codes.

Badges, rings, decoding devices and other radio premiums offered on these adventure shows were often allied with a sponsor's product, requiring the young listeners to mail in a box top from a breakfast cereal or other proof of purchase.

Further evidence for this can be found in the Pipe Roll of Henry I, which shows that he had received a discharge from the murder fine ( a fine levied on inhabitants of a certain area based on the murder of a Norman that occurred in a generally accessible field in that same area ) levied on the community of Wiltshire in 1130, though there is no other proof for this fact.

In mathematics, the proof of a " some " statement may be achieved either by a constructive proof, which exhibits an object satisfying the " some " statement, or by a nonconstructive proof which shows that there must be such an object but without exhibiting one.

According to Karl May's story, first-person narrator Old Shatterhand encounters Winnetou and after initial dramatic events, a true friendship between Old Shatterhand and the Apache Winnetou arises ; on many occasions they give proof of great fighting skill but also of compassion for other human beings.

The first 1 % or so of distillate that is produced, called the " head ," has an alcohol concentration of about 83 % ( 166 US proof ) and an unpleasant odour, so it is discarded ( generally, mixed with another batch of low wine, thereby entering the distillation cycle again ).

After the ceremonies, Maxentius ' disembodied head was sent to Carthage as proof of his downfall, Africa then offered no further resistance.

Perseus professed that he did slay the Gorgon named Medusa ( the only Gorgon who was mortal ), and as proof, he revealed her severed head.

The ronin gathered, and Ōishi, with a lantern, saw that it was indeed Kira — as a final proof, his head bore the scar from Asano's attack.

As Paulinus was revealing the dream to Edwin, he laid his hand on the king's head, which was the proof Edwin needed.

The new head coach Emerson Leão would proof he could do much more.

* Mohamed ElBaradei, head of the International Atomic Energy Agency, concludes that the documents the US and Britain offered as " proof " that Iraq had attempted to import uranium from Niger were in fact fraudulent.

The 1824-1826 proof coins features a smaller head of the king, with the legend and the date, while the reverse shows a crowned shield within a mantle cape with the legend.

William Piers, Senechal of Clandeboye and commander of the English garrison at Carrickfergus, travelled to Cushendun to take Shane's head and send it to Dublin Castle as proof of his death.

Instead they turn his argument on its head ( assuming it's valid ) and take it as a proof by contradiction where the possibility of motion is taken for granted.

The first of these self-evident truths is Descartes ' proof of existence turned on its head:

His severed head was then sent to Delhi as proof of Nizam ul-Mulk's determination to annihilate anyone who stood in his way.

In 2003, after four years of work, the head of the referee's panel Gábor Fejes Tóth ( son of László Fejes Tóth ) reported that the panel were " 99 % certain " of the correctness of the proof, but they could not certify the correctness of all of the computer calculations.

Because of the extremely high burden of proof on the plaintiff, and the difficulty in proving essentially what is inside a person's head, such cases — when they involve public figures — rarely prevail.

The most popular 1600 cc engine was the Cosworth FVA, the sixteen-valve head on a four-cylinder Cortina block that was effectively the " proof of concept " for the legendary DFV.

According to papers in the estate of Dr. Leopold Nowak ( who as head of the music collection of the Austrian National Library was in charge of the manuscript's transport to Brussels ) it is obvious however that there is absolutely no proof that the damage of the manuscript actually took place during the World's Fair in 1958 in Brussels.

An investigating judge said that Gomes had not provided any proof for his claim of Vieira's involvement, and on 20 December 2007 it was announced that Gomes had been charged with false testimony and slandering the head of state.

The Mexican government even took a picture of his severed head as proof that they had executed the outlaw.

Some communities have in the past employed a bounty system, where a town clerk will pay a set fee for every rat head brought in as proof of a rat killing.

Rchard Boyle ( Son of Richard Boyle, 1st Earl of Burlington ), The Viscount Muskerry and The Earl of Falmouth who was not very high thought of, prompting the " poet of state affairs " ( probably Andrew Marvell using the name of John Denham ) to later declare: " His shatterd ' head the fearless duke disdains, and gave the last first proof that he had brains ".

The Portuguese transported Zumbi's head to Recife, where it was displayed in the central praça as proof that, contrary to popular legend among African slaves, Zumbi was not immortal.

As proof of the outlaws ' deaths, the Rangers cut off Three-Fingered Jack's hand and the alleged Murrieta's head and preserved them in a jar of alcohol to bring to the authorities for their reward.

However, General Bababu seized control of the country and, after announcing that Luaga was dead, searched for Luaga to kill him and exhibit his head as proof.

Torx " tamper proof " bolts, which required a special tool, were used in place of standard hex head bolts to secure the top in place.