Geologists feared, however, that samples obtained from the crater might have been contaminated by the Imbrium impact, thus preventing Apollo 16 from obtaining samples of pre-Imbrium material.

Whether the motion was due to an irregular distribution of the Earth's atmosphere, thus involving abnormal variations in the refractive index, was also investigated ; here, again, negative results were obtained.

Housman obtained a first in classical Moderations in 1879, but his immersion in textual analysis, particularly with Propertius, led him to neglect ancient history and philosophy, which formed part of the Greats curriculum, and thus he failed to obtain a degree.

Note that for any fixed w the function f ( x ) = F ( w x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion.

In 1989 Gorbachev allowed other political associations ( de facto political parties ) to coexist with the Communist Party and in 1990 obtained the repeal of Article Six of the USSR constitution which gave the party supremacy over all institutions in society, thus ending its vanguard status.

However, George Spencer, the 5th Duke of Marlborough, obtained a Royal Licence to assume and bear the additional surname and arms of his famous ancestor, the 1st Duke of Marlborough, and thus became George Spencer-Churchill.

Another limitation of current U. S. Intellectual Property legislation is its focus on individual and joint works ; thus, copyright protection can only be obtained in ' original ' works of authorship.

Government attempts to obtain incriminating statement related to the offense charged from the defendant by overt interrogation or surreptitious means is a critical stage and any information thus obtained is subject to suppression unless the government can show that an attorney was present or the defendant knowingly, voluntarily and intelligently waived his right to counsel.

Besides private sponsors, it relies on resources obtained from the Ministry of Science and Higher Education and local authorities, proposing projects to be undertaken with local communities and thus engaging with the general public.

This can be thought of as learning with a " teacher ," in the form of a function that provides continuous feedback on the quality of solutions obtained thus far.

In equilibrium these prices must equal the respective marginal costs MC < sub > 1 </ sub > and MC < sub > 2 </ sub >; remember that marginal cost equals factor ' price ' divided by factor marginal productivity ( because increasing the production of good by one very small unit through an increase of the employment of factor j requires increasing the factor employment by 1 / MP < sub > ji </ sub > and thus increasing the cost by w < sub > j </ sub >/ MP < sub > ji </ sub >, and through the condition of cost minimization that marginal products must be proportional to factor ' prices ' it can be shown that the cost increase is the same if the output increase is obtained by optimally varying all factors ).

Many hundreds of pearl oysters or pearl mussels have to be gathered and opened, and thus killed, in order to find even one wild pearl, and for many centuries that was the only way pearls were obtained.

A population inversion ( N < sub > 2 </ sub > > N < sub > 1 </ sub > ) has thus been achieved between level 1 and 2, and optical amplification at the frequency ν < sub > 21 </ sub > can be obtained.

Boundaries ( and thus coordinates ) may be determined more accurately from geochemical and geophysical data obtained by future missions.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

The concept of a sample thus includes the process of how the data are obtained ( that is, the random variables ).

The total area can thus be obtained by integration:

The logical predicate thus obtained would be elaborated further, e. g. using truth theory models, which ultimately relate meanings to a set of Tarskiian universals, which may lie outside the logic.

The name arose because the intelligence thus obtained was considered more important than that designated by the highest British security classification then used ( Most Secret ) and so was regarded as being Ultra secret.

While usually inferior to genetic algorithms and other forms of local search, it is able to produce results in problems where no global or up-to-date perspective can be obtained, and thus the other methods cannot be applied.

The peak intensity is thus exactly twice the average intensity, obtained by dividing the total power by the area within the radius.

The Selinuntines were the first to call in the powerful aid of Syracuse, and thus for a time obtained the complete advantage over their enemies, whom they were able to blockade both by sea and land ; but in this extremity the Segestans had recourse to the assistance of Athens.

Le Pen was then defeated by a large margin in the second round, when incumbent president Jacques Chirac obtained 82 % of the votes, thus securing the biggest majority in the history of the Fifth Republic.

Likewise Hutu who obtained cattle would come to be considered Tutsi, thus climbing the ladder of the social strata.

Patel, a fierce critic of Jinnah's demand that the Hindu-majority areas of Punjab and Bengal be included in a Muslim state, obtained the partition of those provinces, thus blocking any possibility of their inclusion in Pakistan.

He thus kept his hands free for any action after Jan. 20, although reaction to the break was generally favorable in the U.S. and Latin America ( see the hemisphere ).

For Arthur Schopenhauer aesthetic contemplation of beauty is the most free that the pure intellect can be from the dictates of will ; here we contemplate perfection of form without any kind of worldly agenda, and thus any intrusion of utility or politics would ruin the point of the beauty.

Steiner believed he had thus located the origin of free will in our thinking, and in particular in sense-free thinking.

The situation is complex, however, because the relatively free Russian media is allowed to transmit television programming, sell newspapers and conduct journalistic activities in Belarus ( though some Russian journalists have been expelled by the Belarusian government ) thus giving some members of the public, typically those in large cities with many Russian residents, access to an alternative point of view in the Russian language ( nearly all Belarusians understand and most of them speak Russian ).

Although the original had been one of Marc Almond's all-time favourite songs, he had never read the lyrics and thus incorrectly sang " What'll it be, what'll it be, you and me " instead of " Falling free, falling free, falling free ".

Thus, a poison that covers surface randomly will tend to reduce the number of uncontaminated large planes but leave proportionally more smaller sites free, thus changing the hydrogenation vs. hydrogenolysis selectivity.

Non-computer CRTs or CRT for sonar or radar may have long persistence phosphor and are thus flicker free.

When a metal wire is subjected to electric force applied on its opposite ends, these free electrons rush in the direction of the force, thus forming what we call an electric current.

The captain would have nothing more to do with the monks ; they were thus free to go where they pleased.

By the terms of the agreement, the election of bishops and abbots in Germany was to take place in the emperor's presence as judge between potentially disputing parties, free of bribes, thus retaining to the emperor a crucial role in choosing these great territorial magnates of the Empire.

* Armitage in the movie Armitage III is a " Third Type " cyborg which was an all female line of cyborgs designed to have conscience, free will and the ability to procreate as a way for a Mars-colony to better sustain a population and thus be able break away from Earth.

Another opinion is that the choice was free in a limited context, thus: although the Jews chose to follow precepts ordained by God, the Kabbalah and Tanya teach that even prior to creation, the " Jewish soul " was already chosen.

This means that the value of the coin is decreed by government fiat ( law ), and thus is determined by the free market only inasmuch as national currencies are subjected to various types of foreign exchange markets in international trade.

Douglas ( and Atchison ) had assumed that Nebraska would be settled by Free-State men from Iowa and Illinois, and Kansas by pro-slavery Missourians and other Southerners, thus preserving the numerical balance between free states and slave states.

It is the nature of the soul to be free, thus for the soul, the dharma is paralaukika, beyond worldly.

Raymond argues that this could raise awareness of the software and thus increase the free software movement's influence on relevant standards and legislation.

This viewer application allows the content created by the proprietary authoring software to be readable on all supported operating-system platforms, free of charge, thus making it a more attractive solution.

According to the Buddhist point of view, once we have developed a genuine understanding of the causes of suffering, such as craving ( tanha ) and ignorance ( avijja ), then we can completely eradicate these causes and thus be free from suffering.

The behavior of the free market is thus said to be scale sensitive ( a pair of agents bargaining for a purchase will agree on a different price than 100 identical pairs of agents doing the identical purchase ).

Handguns are small and usually made to be carried in a holster, thus leaving both hands free.

A priori, it is not clear whether the new local frames in free fall coincide with the reference frames in which the laws of special relativity hold — that theory is based on the propagation of light, and thus on electromagnetism, which could have a different set of preferred frames.

By this system, the children were free people and could inherit property, thus originating a class of " mulattos " with property and some with wealthy fathers.

The serfs, although not free, were tied to both forces and, thus, not completely alienated.