* ( Purely analytic proof of the theorem that between any two values which give results of opposite sign, there lies at least one real root of the equation ).

" To give a proof of a " no " instance one must specify a non-empty subset which does sum to zero, which is easily verified.

" He added that the public as well as proper organizations were entitled to such proof and that he was ready and willing to give such proof in detail.

The theorem that bears his name may not have been his discovery, but he was probably one of the first to give a deductive proof of it.

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.

Such reactors often give off radioactive waste that is especially hard to safely dispose, since it must be stored in radioactive proof locations, such as underground.

Together, these first two examples give a different proof that n-dimensional Euclidean space is separable.

These papers are together believed to give a complete proof, and there are several ongoing projects to shorten and simplify this proof.

We now give an operator theoretic proof for the Cauchy – Schwarz inequality which passes to the C *- algebra setting.

Therein he attacked some often-used surrealist techniques by proclaiming, " Surrealism will at least have served to give experimental proof that total sterility and attempts at automatizations have gone too far and have led to a totalitarian system.

If, however, the subject lives a life of great extravagance, tell him he, too, can afford to give largely, the proof of his opulence being evident in his expenditure.

They must give us proof, strong as holy writ, that they have washed their hands and are worthy again to be trusted.

Proof: We only give the proof in the simplified case ; the general case is similar.

We will now give the precise meaning of this statement as well as its proof.

The MPAA's R rating is definitive proof that the organization either will never give the NC-17 rating for violence alone, or was intimidated by the subject matter.

The course of studies lasted ten years, during which time their burses continued ; but if, at the end of ten years, they had not given proof of their ability, either as teachers or as preachers, they had to give up their burse.

In fact, it is possible to give a proof that is a Noetherian ring without appealing to its order structure and this proof applies more generally to principal ideal rings ( i. e., rings in which every ideal is generated by a single element ).

Thereafter, to protect themselves, they style themselves " white men from the stars " – sorcerer-gods – and are required to give regular proof of their divinity, considerably straining both their nerves and their ingenuity.

The proof of the pudding is he didn't give a damn about those poor horses or show any respect to Mr. Scott.

" Concerning the author, the critic said, " If ever on earth there lived a man who kept the law of Christ, and could give proof of it, and be absolutely unconscious that he was giving it to them, it is this man whom the Mongols called ' our Gilmour.

She claimed to have proof that " 69 of the injured were given no medical care " and that " 80 percent of the surviving hostages are potential future invalids, including future ( occurrence of ) cancers, ( and there is a possibility that ) women who were subjected to the gas attack ( could ) give birth to defective babies ".

When Gunsaulus said yes, Armour told him that if he came by his office in the morning, he would give him the million dollars.

This would be used when it would be misleading to give a simple " yes " or " no " answer to the player's question.

He claimed that accession to the Union represented a significant reduction of Czech sovereignty and he chose not to give any recommendation before the 2003 accession referendum ( 77 % voted yes ).

It has grown in importance as one of the few black-and-white, yes or no, answers that politicians are forced to give to voters before they ask for their vote.

" And then some wag would add, in a solemn, drawling tone, as if it were his purpose to give particular emphasis to the fact that John Brown was really, actually dead: " Yes, yes, poor old John Brown is dead ; his body lies mouldering in the grave.

In all but two cases ( and ), the question is one which is effectively answered by a simple yes or no ; a number of scholars believe that the two exceptions to this pattern, which give more complex answers, were originally also just sequences of yes / no questions, but became corrupted by later editing.

If one makes a request and receives a " no " it is recommended not that one give up, but that one empathize with what is preventing the other person from saying " yes ," before deciding how to continue the conversation.

On the November 26 episode of Impact !, James brought Kip and the 3LK to the ring and asked Killings and Konnan to give Kip a yes / no vote to be accepted into the group.

The idea is not to say ' yes, this is right ,' or ' no, this is wrong ,' but to give the audience some kind of context of where the research comes from.

‘ Oh yes, well, it takes a bit of getting used to but you know, the boys have worked so hard to get it ready I really feel I ought to give it a go ...’.

He asks her if she's ready to give up her life as a reporter, and she confidently answers yes.

brought Kip and the 3LK to the ring, and asked the Truth and Konnan to give Kip James a yes / no vote to be accepted into the group.

On 22 March, Germany put Russia on the spot, demanding that Russia give a clear and unequivocal " yes " or " no " as to whether it committed to accept this amendment.

James was prepared to negotiate, and asked them to come back the next day, when he would be able to give a yes or a no answer.

As a commentator, Hayes maintained his reserved mannerisms ; though not specifically a heel, he would be quicker to give praise to heelish characters, though disapproving of underhanded methods ( in one match, after being told by Gorilla Monsoon that the Hart Foundation had " broken every rule in the book ," he replied with a conceding " yes, they've done that .").

Considering his request to return to his home and give him an answer, whether it be " yes " or " no ," Christine cannot bear the thought of hurting Erik by refusing him.

In cases where the direction of the air motion is always the same, as in the ventilating shafts of mines and buildings for instance, wind vanes, known as air meters are employed, and give most satisfactory results.

For instance, when reporting data from a large city, it might be appropriate to give the average income for black males aged between 50 and 60.

Multiple light sources can wash out any wrinkles in a person's face, for instance, and give a more youthful appearance.

At the time Fudge was conceived, it was stylish to give role-playing games acronyms for names ( for instance, GURPS and TWERPS ) and originally the usenet design project referred to the game as SLUG, for " Simple Laid-back Universal Game ".

For instance, Robert Badinter argued that plea bargaining would give too much power to the public prosecutor and would encourage defendants to accept a sentence only to avoid the risk of a bigger sentence in a trial, even if they did not really deserve it.

Though the code of chivalry crucial to later continental romances dealing with the Round Table is mostly absent from the earlier Welsh material, some passages of Culhwch and Olwen seem to prefigure it, for instance when Arthur explains the ethos of his court, saying " e are nobles as long as we are sought out: the greater the bounty we may give, the greater our nobility, fame and honour.

Applications which allow the editing of more than one document at a time, e. g. word processors, may therefore give the user the impression that more than one instance of an application is open.

A de-facto skill system exists in the form of " character classes " which give numerical bonuses to certain activities if their role called for it ( for instance, a pilot having a + 1 modifier on their roll to fly an aircraft ).

The Buddhist vinaya also reflects social contracts expected of the monks, one such instance is when the people of a certain town complained about monks felling saka trees, the Buddha tells his monks that they must stop and give way to social norms.

Christ said, for instance, " Peace be with you, my peace I give you ," and the members of Christ's Church gave each other peace symbolically through a kiss.

This means the chance we'll give the wrong answer on a YES instance, by stopping and yielding NO, is only 1 / 2, fitting the definition of an RP algorithm.

For instance, if a file has an ACL that contains < tt >( Alice, delete )</ tt >, this would give Alice permission to delete the file.

For instance, in Raphidiophrys the coat extends along the bases of the axopods, covering them with curved spicules that give them a pine-treeish look, and in Raphidiocystis there are both short cup-shaped spicules and long tubular spicules that are only a little shorter than the axopods.

For instance, he could in certain cases give validity to the act of manumission when he was out-of-doors, such as on his way to the bath or to the theatre.

In the 1970s, for instance, his standard set-up involved two independently controlled amplifiers to give a stereo effect onstage, and he often would use the swell pedal to counteract the " normal " attack and decay of notes.

For instance, with a velocity of 600 m / s ( 2000 ft / s ), a diameter of and a length of, the Greenhill formula would give a value of 25, which means 1 turn in.

A global geometry is also called a topology, as a global geometry is a local geometry plus a topology, but this terminology is misleading because a topology does not give a global geometry: for instance, Euclidean 3-space and hyperbolic 3-space have the same topology but different global geometries.

On April 12, 1998, an event promoted as an online chat with Koko took place on AOL. The transcript of this event, available on many locations on the Internet, contains at least one instance of Koko making a statement resembling a sentence: " Lips fake candy give me "; uttered while Koko was trying to get Patterson to give her a treat.

Some are intended to give the deceased mystical knowledge in the afterlife, or perhaps to identify them with the gods: for instance, Spell 17, an obscure and lengthy description of the god Atum.

Another suggestion involves ultra-high energy weakly interacting particles ( for instance, neutrinos ) which might be created at great distances and later react locally to give rise to the particles observed.

Competition authorities could for instance require that a large packaging company give plastic bottle licenses to competitors before taking over a major PET producer.

He was a true revolutionary in the sense that he believed that nations which had undergone a revolution, in this instance France, should give aid to oppressed countries.