I must confess that I prefer the Liberal who is personally affected, who is willing to send his own children to a mixed school as proof of his faith.

In any event, the critical productivity of that time is abundant proof that if he was taking laudanum, it was never in command of him to the extent that it had been during his vagrant years.

The appointment of U Thant of Burma as the U.N.'s Acting Secretary General -- at this writing, the choice appears to be certain -- offers further proof that in politics it is more important to have no influential enemies than to have influential friends.

The first is the strictly scientific, which demands concrete proof and therefore may err on the conservative side by waiting for evidence in the flesh.

The idea of the proof is this.

In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.

If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

so that the absence of the hymen is by no means positive proof that a girl has had sex relations.

Most of them, the world over, operate on the same principle by which justice is administered in France and some other Latin countries: the customer is to be considered guilty of abysmal ignorance until proven otherwise, with the burden of proof on the customer himself.

Schwab also declared there is no proof of Weinstein's entering a conspiracy to use the U.S. mails to defraud, to which federal prosecutor A. Lawrence Burbank replied:

level ( when the standard of proof is high, the chances of overlooking

Chaitin prefaces his definition with: " I'll show you can't prove that a program is ' elegant '"— such a proof would solve the Halting problem ( ibid ).

Euclid stipulated this so that he could construct a reductio ad absurdum proof that the two numbers ' common measure is in fact the greatest.

Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.

When one attempts to solve problems in this class, it makes no difference whether ZF or ZFC is employed if the only question is the existence of a proof.

It is possible, however, that there is a shorter proof of a theorem from ZFC than from ZF.

There is some documentary proof that the Romans named the hot sulfur springs of Aachen Aquis-Granum, and indeed to this day the city is known in Italian as Aquisgrana, in Spanish as Aquisgrán and in Polish as Akwizgran.

This is not a rejection of existence by Gilson, a leading modern metaphysician in the classical tradition: " philosophers are wholly justified in taking existence for granted ... and in never mentioning it again ...." In Gilson's view, the participial being is a given, a primitive of experience, not subject to proof or investigation, as it is the grounds of proof.

Once again, however, there is a lack of archaeological proof for this reconstruction, and the sheer number of brochs, sometimes in places with a lack of good land, makes it problematic.

“ And now I shall again recite the words which I have spoken in proof of this point.

Other authors, like Oruch, have also claimed that the modern customs of Saint Valentine's Day originate from Lupercalia customs, again without proof.

Refraining from these restrictions when there is unequivocal proof that this will lead to the murder of innocents is worse, because movement restricted can later be granted, while dead will never live again.

Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group.

At this time he commented on the readmission of the confederate states: " The burden of proof rests on each of them to show whether it is fit again to enter the federal circle in full communion of privilege.

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

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 ).

This caused the rumours about a secret ceremony to again come up ; however, there has been no proof given other than Liev's word in the video which was shot in early June 2009.

He became again minister of the interior in the Jules Ferry cabinet of 1883 – 1885, when he gave proof of great administrative powers.

Florins were produced for Queen Elizabeth II each year between 1953 and 1967, with proof coins again produced in 1970.

There is no proof that he did it, but again there is no proof that he did not do it, nor is there proof that anybody did it, which proves him guilty, according to the Queen.

If the violation is feasible, it is reported to the user ; if it is not, the proof of infeasibility is used to refine the abstraction and checking begins again.

Kornbluth, while diving seeking proof of strange sea creatures, also encounters the mermaid in her sea form, whom he becomes obsessed with finding again.

When the B * search terminates with a proof that one move is best, and there is still time remaining, then Maven widens its estimates by 1 point and searches again.

With no living heirs, Amenhotep was succeeded by Thutmose I, whom he married to his sister, Aahmes, although once again there is no definite proof that the two were related.

This half-success in a subordinate sphere was, however, so far from coinciding with his aspirations that he had again, in the winter of 1821, begun to turn his attention towards missionary labour in the East, when the possibility of fulfilling the dream of his life was suddenly revealed to him by an invitation from the Caledonian Church, Hatton Garden, London, to make trial and proof of his gifts before the remnant of the congregation that held together.

In February 2011, she again claimed that " the controversial solution of the two flags, contrary to the Nouméa Accord, which was supported by the Prime Minister François Fillon, is an additional proof of the will of the government and Nicolas Sarkozy to want to get rid of a part of France ".

The proof of Tarski's undefinability theorem in this form is again by reductio ad absurdum.

He appeared in a proof of life video in February 2007 but was not heard of again.

Whether you experienced the passion of desire I have, of course, no way of knowing, nor indeed have I wished with even the most fleeting fragment of a wish to know, for the fact that one constitutes by one's mere existence so to speak the proof of some sort of passion makes any speculation upon this part of one's parents' experience more immodest, more scandalizing, more deeply unwelcome than an obscenity from a stranger.

Narayanan – AIR India Reporter 1988 Court Page No. 1381 ; 1988 Volume No. 3 SCC Court Cases Page No. 366 ; 1988 PLJR 78 – Although an affidavit may be taken as proof of the facts stated therein, the Courts have no jurisdiction to admit evidence by way of affidavit.

The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.

Because of independence, the decision whether to use of the axiom of choice ( or its negation ) in a proof cannot be made by appeal to other axioms of set theory.

That was so because it not only was proof of excessive pride, but also resulted in violent acts by or to those involved.

The terms ' integrative ' or ' integrated medicine ' indicate combinations of conventional and alternative medical treatments that have some scientific proof of efficacy ; such practices are viewed by advocates as the best examples of complementary medicine.

Mordell's theorem had an ad hoc proof ; Weil began the separation of the infinite descent argument into two types of structural approach, by means of height functions for sizing rational points, and by means of Galois cohomology, which was not to be clearly named as that for two more decades.

This key result opened the way for a proof of the Weil conjectures, ultimately completed by his student Pierre Deligne.

Canova in 1817 by George Hayter ( British Embassy, Paris ) There was, however, another proof, which modesty forbade him to mention, an ever-active benevolence, especially towards artists.

However, there have been many wild claims of ancient mid eastern ancestry ( including Assyrian ) throughout Europe, Africa and even the Americas, none of which have been supported by mainstream opinion or strong evidence, let alone proof.

Stilicho is alleged by some to have wanted control of both Emperors, and is supposed to have had Rufinus assassinated by Gothic mercenaries in 395 ; though definite proof of Stilicho's involvement in the assassination is lacking, the intense competition and political jealousies engendered by the two figures compose the main thread of the first part of Arcadius ' reign.

* Metamath-a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems ; while the Metamath language is not accompanied with an automated theorem prover, it can be regarded as important because the formal language behind it allows development of such a software ; as of March, 2012, there is no " widely " known such software, so it is not a subject of " automated theorem proving " ( it can become such a subject ), but it is a proof assistant.

A FAT usually includes a check of completeness, a verification against contractual requirements, a proof of functuality ( either by simulation or a conventional function test ) and a final inspection.

The first proof was given by (), where the formulation of the problem was attributed to Ulam.

SAT was the first known NP-complete problem, as proved by Stephen Cook in 1971 ( see Cook's theorem for the proof ).

Although there is no definite proof of the date of his birth, it has been suggested by Ukrainian historian Mykhaylo Maksymovych that it is likely 27 December 1595 ( St. Theodore's day ).