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.

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.

It was at this time that ` Abdu ' l-Bahá, in order to provide proof of the falsity of the accusations leveled against him, in tablets to the West, stated that he was to be known as "` Abdu ' l-Bahá " an Arabic phrase meaning the Servant of Bahá to make it clear that he was not a Manifestation of God, and that his station was only servitude.

He / she must have a valid passport and either have an invitation letter or a bank statement with enough money to survive the length of the stay in Costa Rica, plus proof of onward travel ( ticket to exit Costa Rica & legal ability to travel to the destination stated on the ticket ).

In 1768, when court intrigue prevented the performance of La Finta Semplice ( K. 51 ) for which a twelve-year-old Wolfgang Amadeus Mozart had composed 500 pages of music, Mesmer is said to have arranged a performance in his garden of Mozart's Bastien und Bastienne ( K. 50 ), a one-act opera, though Mozart's biographer Nissen has stated that there is no proof that this performance actually took place.

Despite multiple parliamentary questions from as early as 2005, where it was stated that there was no proof that this was happening, Minister Ahern announced a ban on all handguns in November 2008.

" Gödel himself wrote a letter to Cohen in 1963, a draft of which stated, " Let me repeat that it is really a delight to read your proof of the ind of the cont hyp.

In a recent editorial in Nature, it was stated that " in journals in those days, the burden of proof was generally on the opponents rather than the proponents of new ideas.

For instance, one report from Burma stated that red pandas were still fairly common in some areas, and was accompanied by a photograph of a " red panda " as proof.

" The IACHR also stated that: " The Commission is of the view that the new regime did not have, and does not now have, a policy of violating the right to life of political enemies, including among the latter the former guardsmen of the Government of General Somoza, whom a large sector of the population of Nicaragua held responsible for serious human rights violations during the former regime ; proof of the foregoing is the abolition of the death penalty and the high number of former guardsmen who were prisoners and brought to trial for crimes that constituted violations of human rights.

On the other hand, a deep theorem may be simply stated, but its proof may involve surprising and subtle connections between disparate areas of mathematics.

One of Frege's stated purposes was to isolate genuinely logical principles of inference, so that in the proper representation of mathematical proof, one would at no point appeal to " intuition ".

A rigorous proof was published by Argand in 1806 ; it was here that, for the first time, the fundamental theorem of algebra was stated for polynomials with complex coefficients, rather than just real coefficients.

The restorers proved unable to document the supposed convertible prototype's provenance and the Tucker Automobile Club of America stated it had been provided with no proof of its authenticity and was unable to verify it as such.

Simien-Despréaux, one of Louis XVIII's authors, stated in 1814 that Louis XVII was living and someone possessed proof of this ; and Eckard, one of the mainstays of the official account, left among his unpublished papers a statement that many members of " an assembly of our wise men " obstinately named Louis XVII as the prince whom their wishes demanded.

This culminated in his 1972 book, Science at the Crossroads in which Dingle stated that " a proof that Einstein's special theory of relativity is false has been advanced ; and ignored, evaded, suppressed and, indeed, treated in every possible way except that of answering it, by the whole scientific world.

The theorem is named after Andrey Nikolayevich Tychonoff, who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same as for the special case.

Bezout's theorem was essentially stated by Isaac Newton in his proof of lemma 28 of volume 1 of his Principia, where he claims that two curves have a number of intersection points given by the product of their degrees.

The theorem was first stated without proof by Bienaymé in 1853 and later also without proof by Chebyshev in 1874.

The Italian mathematician Gerolamo Cardano ( 1501 – 1576 ) stated without proof that the accuracies of empirical statistics tend to improve with the number of trials.

stated that mathematics had accepted informal proofs and proof by authority, and had made and corrected errors all through its history.

Since the leaks, Statoil has stated that the oil has mostly dissolved, and there is not much proof of ecological harm.

The * points to Exercise # 24 ( p. 189 ) wherein he asks for a proof of the following: " In section 53, the definition of the number ' 0 ' was stated by way of an example.

The terms actus reus and mens rea developed in English Law are derived from the principle stated by Edward Coke, namely, actus non facit reum nisi mens sit rea, which means: " an act does not make a person guilty unless ( their ) mind is also guilty "; hence, the general test of guilt is one that requires proof of fault, culpability or blameworthiness both in behaviour and mind.

In order to establish his proof, Reinhold stated an axiom that could not possibly be doubted.