In 1972, de Wolf and van Aalst reported that the diffraction pattern produced by a crystal of sodium carbonate cannot be labeled with three indices but needed one more, which implied that the underlying structure had four dimensions in reciprocal space.

Defenestration is the act of throwing someone or something out of a window ( from the Latin: de: out of, with a downward motion implied ; fenestra: window ).

Louis Wodon ( the chef de cabinet of Leopold III from 1934 to 1940 ), thought the King's oath to the Constitution implied a royal position over and above the Constitution.

David Beach believes that the city and its state, the Kingdom of Zimbabwe, flourished from 1200 to 1500, although a somewhat earlier date for its demise is implied by a description transmitted in the early 1500s to João de Barros.

When the media asked King Juan Carlos if he would endorse the 2005 bill legalizing gay marriages ( the implication implied that he may not endorse the bill ), he answered " Soy el Rey de España y no el de Bélgica " (" I am the King of Spain, not of Belgium ")– a reference to King Baudouin I of Belgium who had refused to sign the Belgian law legalising abortion in Belgium.

In addition, the people assumed that the Parlement de Paris's acquittal of Rohan implied that Marie Antoinette was somehow in the wrong.

However, just as his earlier illustrations had implied connections between the ancient Maya and ancient Egypt, the ones included with Brasseur de Bourbourg's text invoked the Classical antiquity of ancient Greece and Rome.

1627, he is the lover of the Duchesse de Chevreuse, the confidant of the queen ( and is largely dependent on gold from her to survive, as military pay was low and infrequent ), while in Twenty Years later he is the lover ( and, it is broadly implied, the father of the son of ) the Duchesse de Longueville.

It is implied that he escaped from the hospital and fled to South America, settling in Rio de Janeiro.

Popes and ecumenical councils may also extraordinarily infallibly define truths to be held " de fide tenenda ," that is to say discerned as logically implied or intrinsically connected to the deposit of faith and guaranteed as infallible by the Holy Spirit, but not necessarily specifically and explicitly Revealed and so demanding supernatural faith not in themselves specifically, but as part of the faith in the Holy Spirit's guarantee of the infallibility and authority of the Church in such matters.

Nash also implied that Ansgar Elde was present at the Council and that Jacqueline de Jong was part of if, which was false.

On the other hand, several British sources refer to van Niekerk and his followers as " freebooters " and " marauders ," but de iure recognition from the United Kingdom can be implied from a telegram that was erroneously sent by Sir Charles Warren, military commander for British Bechuanaland, to van Niekerk in which he endorsed Cecil Rhodes ' settlement in Stellaland.

* Touch tone ( toque de punta ): as implied by the name, this tone is produced by just touching the fingers or heel of the palm to the drum head.

One of these, Le Sérapéon, received reviews which implied it bore a very close resemblance to François-René de Chateaubriand's 1809 novel Les Martyrs.

The crowd's reaction to de Gaulle's phrase was emotional, and has been described as frenzied, but it sparked controversy with English-Canadians, as many were outraged at the implied threat to Canada's territorial integrity.

Narváez wanted Cabeza de Vaca to lead the sea force, but he refused as a matter of honor, as Narváez had implied he was a coward.

The use of nude models in the medieval artist's workshop is implied in the writings of Cennino Cennini, and a manuscript of Villard de Honnecourt confirms that sketching from life was an established practice in the 13th century.

Initially, the theory implied the ' first citizen ' had to earn his extraordinary position ( de facto evolving to nearly absolute monarchy ) by merit in the style that Augustus himself had gained the position of auctoritas.

Further discernment may lead to the conclusion that a " de fide tenenda " teaching is not merely implied by the deposit of faith, but explicitly contained and thus it may advance to " de fide credenda " status.

However, certain teachings on grace and justification from the Council of Trent, currently regarded as infallible but only de fide tenenda due to disagreement about whether they are explicitly contained in the deposit of faith or merely logically implied, could someday advance to de fide credenda status either through extraordinary definition or through the consensus of the universal magisterium.

He denied that there could be treason against a separate state since sovereignty was " in the Union ;" and he opposed prohibition of any ex post facto law, one which made an act a criminal offense retroactively, because such prohibition implied " an improper suspicion of the National Legislature.

Together with fellow staff-member Kent Ford, Rubin announced at a 1975 meeting of the American Astronomical Society the discovery that most stars in spiral galaxies orbit at roughly the same speed, which implied that their mass densities were uniform well beyond the locations with most of the stars ( the galactic bulge ), a result independently found in 1978.

The equation also implied the existence of a new form of matter, antimatter, hitherto unsuspected and unobserved, and actually predated its experimental discovery.

Together with fellow staff-member Kent Ford, Rubin announced at a 1975 meeting of the American Astronomical Society the discovery that most stars in spiral galaxies orbit at roughly the same speed, which implied that their mass densities were uniform well beyond the location with most of the stars ( the galactic bulge ), a result independently found in 1978.

The recent discovery by J. J. Thomson of the negatively charged electron implied that a neutral atom must also contain an opposite positive charge.

The second and third groups of eight bytes are treated as Channel Command Words ( CCWs ) to continue loading the startup program ( the first CCW is always simulated by the CPU and consists of a READ IPL command, < tt > 02h </ tt >, with command chaining and suppress incorrect length implied ).

The Mertens conjecture concerning its growth, conjecturing it bounded by x < sup > 1 / 2 </ sup >, which would have implied the Riemann hypothesis, is now known to be false ( Odlyzko and te Riele, 1985 ).

Additional optical modes could also be caused by the presence of internal structure ( i. e., charge or mass ) at a lattice point ; it is implied that the group velocity of these modes is low and therefore their contribution to the lattice thermal conductivity λ < sub > L </ sub > (< sub > L </ sub >) is small.

The Jacobson radical of R < nowiki ></ nowiki > X < nowiki ></ nowiki > is the ideal generated by X and the Jacobson radical of R ; this is implied by the element invertibility criterion discussed above.

Furthermore, spectroscopists often express a quantity proportional to the wavenumber, such as frequency or energy, in cm < sup >− 1 </ sup > and leave the appropriate conversion factor as implied.

Suppose that x < sup > i </ sup > are local coordinates on the base manifold M. In terms of these base coordinates, there are fibre coordinates p < sub > i </ sub >: a one-form at a particular point of T * M has the form p < sub > i </ sub > dx < sup > i </ sup > ( Einstein summation convention implied ).

Later, in 1932, Georges Lemaître gave a different coordinate transformation ( Lemaître coordinates ) to the same effect and was the first to recognize that this implied that the singularity at r = r < sub > s </ sub > was not physical.

< nowiki >*</ nowiki > Under " unnatural carnal sins " the next is implied: sodomy, bestiality, masturbation, and any unnatural intercourse between married people ( such as using contraceptives, consummated oral or consummated anal intercourse, etc.

Steve Gerber, who served as Crazy < nowiki >'</ nowiki > s editor from issues # 11-14, and wanted it to be distinctive from the archteypal Mad, said that the goal was to present work that implied the creators were themselves insane.

A major role of CO < sub > 2 </ sub > is implied by recent research.

There are no practical limits to the precision except the ones implied by the available memory in the machine GMP runs on ( operand dimension limit is 2 < sup > 31 </ sup > bits on 32-bit machines and 2 < sup > 37 </ sup > bits on 64-bit machines ).

I ) it is implied that the experimental errors are uncorrelated and all equal: M = σ < sup > 2 </ sup > I, where σ < sup > 2 </ sup > is the variance of an observation, and I is the identity matrix.

* Arrange the n conditions in the order implied by the alternative hypothesis, and assign each of them a rank Y < sub > i .</ sub >

For example, the operation < a := b + c ;> can be done using the sequence < load b ; add c ; store a ;> -- the destination ( the accumulator ) is implied in every " load " and " add " instruction ; the source ( the accumulator ) is implied in every " store " instruction.

Elliott Sober commented that adaptation was a retrospective concept since it implied something about the history of a trait, whereas fitness predicts a trait's future .< sup > p210 </ sup >

Historically, and implied by the word Opinion in its name, MOS was a subjective measurement where listeners would sit in a " quiet room " and score call quality as they perceived it ; per ITU-T recommendation P. 800, " The talker should be seated in a quiet room with volume between 30 and 120 m < sup > 3 </ sup > and a reverberation

Finally used elimination theory to show that Thompson's conditions implied that σ < sup > 2 </ sup >= 3 in all but 178 small cases, that were eliminated using a computer by Odlyzko and Hunt.