The color of amethyst has been demonstrated to result from substitution by irradiation of trivalent iron ( Fe < sup > 3 +</ sup >) for silicon in the structure, in the presence of trace elements of large ionic radius, and, to a certain extent, the amethyst color can naturally result from displacement of transition elements even if the iron concentration is low.

In 2005, C. Davis and C. Johnson, working at the Rutherford Appleton Laboratory in Oxfordshire, UK, demonstrated that the Es layer was indeed enhanced as a result of lightning activity.

As demonstrated by the Michelson-Morley null result, there is no absolute inertial frame of reference.

In 1995, Alberto Barbieri at the Cardiff University Laboratory ( GB ) investigated the efficiency and reliability of high-brightness LEDs and demonstrated a very impressive result by using a transparent contact made of indium tin oxide ( ITO ) on ( AlGaInP / GaAs ) LED.

For example, dopamine release in the nucleus accumbens has been demonstrated to be the result of decreased GABAergic tone.

* A veridical paradox produces a result that appears absurd but is demonstrated to be true nevertheless.

Whether or not this has actually happened, or if the concept is simply feasible enough for most people to imagine the result without needing it to be demonstrated, is unknown.

Major institutions such as Snell have demonstrated 720p72 pictures as a result of earlier analogue experiments, where 768 line television at 75 FPS looked subjectively better than 1150 line 50 FPS progressive pictures with higher shutter speeds available ( and a corresponding lower data rate ).

This result preceded Alan Turing's famous work on the halting problem, which also demonstrated the existence of a problem unsolvable by mechanical means.

Freud considered that the experience of anxiety dreams and nightmares was the result of failures in the dream-work: rather than contradicting the " wish-fulfillment " theory, such phenomena demonstrated how the ego reacted to the awareness of repressed wishes that were too powerful and insufficiently disguised.

Recent research has demonstrated that intrapartum asphyxia is not the most important cause, probably accounting for no more than 10 percent of all cases ; rather, infections in the mother, even infections that are not easily detected, may triple the risk of the child developing the disorder, mainly as the result of the toxicity to the fetal brain of cytokines that are produced as part of the inflammatory response.

Previous research on the role of endorphins in producing runner's high questioned the mechanisms at work, their data possibly demonstrated that the " high " comes from completing a challenge rather than as a result of exertion.

As a result, certain player models demonstrated lockups when DIVX menus were accessed.

Link also demonstrated his trainer to the U. S. Army Air Force ( USAAF ), but with no result.

As a result, we successfully demonstrated that WRFV2 can run on the ES2 with outstanding performance and the sustained performance.

Rather, we log what has changed and assume the rest has stayed the same, with the result that we miss some details, as demonstrated in various experiments and illusions, some of which Dennett outlines.

Fischer demonstrated that such interbreeding did not result in a new, intermediate race that was reproductively stable, but rather followed the Mendelian laws, according to which each generation would produce throw-backs to the original parent races as well as individuals of intermediate type, in the proportion A + 2AB + B, where A and B represent different alleles of a single gene.

It can also be demonstrated that management intensive rotational grazing system also result in time savings because the majority of work which might otherwise require human labor is transmitted to the herd.

Numerous essays have been written on the themes in Magnolia ,< ref > such as regret ; loneliness ; the cost of failed relationships as a result of parents, particularly fathers, who have failed their children ; cruelty to children and its lasting effect ( as demonstrated by the implied sexual assault perpetrated on Claudia by Jimmy ); familial violence ( as evinced by the opening scene, in which a boy is murdered by his mother ); not all events and their results can be controlled, but an individual can control his or her own actions and that, to some degree, mistakes of the past cannot simply be erased (" We might be through with the past, but the past ain't through with us "); exploitation ; and the limits of forgiveness.

It has been demonstrated in many studies that our specific goals and intentions will most frequently result in the retrieval of related IAM, while the second most frequent IAM retrievals result from physical cues in the surrounding context.

These data have demonstrated no risk to children as a result of growing up in a family with one or more gay parents.

Although often said to " lock in the moisture " or " seal in the juices ", searing has been demonstrated to result in a greater net loss of moisture versus cooking to the same internal temperature without first searing.

While he is best known for the Kolmogorov – Arnold – Moser theorem regarding the stability of integrable Hamiltonian systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory, including posing the ADE classification problem, since his first main result — the partial solution of Hilbert's thirteenth problem in 1957 at the age of 19.

For a proof of this result, see the corresponding section on the Hilbert's basis theorem page.

We have already noted the example of analytic geometry, and more generally the field of algebraic geometry thoroughly develops the connections between geometric objects ( algebraic varieties, or more generally schemes ) and algebraic ones ( ideals ); the touchstone result here is Hilbert's Nullstellensatz which roughly speaking shows that there is a natural one-to-one correspondence between the two types of objects.

Namely, there exist topological manifolds which admit no C < sup > 1 </ sup >− structure, a result proved by, and later explained in the context of Donaldson's theorem ( compare Hilbert's fifth problem ).

In abstract algebra, Hilbert's Theorem 90 ( or Satz 90 ) refers to an important result on cyclic extensions of fields ( or to one of its generalizations ) that leads to Kummer theory.

The corresponding result for the multiplicative group is known as Hilbert's Theorem 90, and was known before 1900.

In mathematics, Hilbert's syzygy theorem is a result of commutative algebra, first proved by David Hilbert ( 1890 ) in connection with the syzygy ( relation ) problem of invariant theory.

Artin's result provided a partial solution to Hilbert's ninth problem.

But is the result new barnsful of tested knowledge on the basis of which we can with confidence solve our domestic and international problems??

The provisions are also designed to avoid disruption in State programs already in operation, which might otherwise result from the allotment of funds on the basis of wealth and population alone.

The result was an agreement that the Lublin Government should be `` reorganized on a broader democratic basis with the inclusion of democratic leaders from Poland itself and from the Poles abroad '', and pledged to hold `` free and unfettered elections as soon as possible on the basis of universal suffrage and secret ballot ''.

A more immediate result of the Investiture struggle identified a proprietary right that adhered to sovereign territory, recognizing the right of kings to income from the territory of a vacant diocese and a basis for justifiable taxation.

According to Rummel, these were not cases of genocide because those who were killed were not selected on the basis of their race, but were killed in large numbers as a result of government policies.

One basis for this idea was the finding that Dolly's telomeres were short, which is typically a result of the ageing process.

Voting systems then determine the result on the basis of the tally.

As a result of Setanta Sports's demise, England's World Cup qualifier in Ukraine on 10 October 2009 was shown in the UK on a pay-per-view basis via the internet only.

It also has a hacker ethic, based on the idea that writing software and sharing the result on a voluntary basis is a good idea, and that information should be free, but that it's not up to the hacker to make it free by breaking into private computer systems.

The number of foreign nationals who became legal permanent residents ( LPRs ) of the U. S. in 2009 as a result of family reunification ( 66 %) exceeded those who became LPRs on the basis of employment skills ( 13 %) and for humanitarian reasons ( 17 %).

The House of Lords asked the judges of the common law courts to answer five questions on insanity as a criminal defence, and the formulation that emerged from their review — that a defendant should not be held responsible for his actions only if, as a result of his mental disease or defect, he ( i ) did not know that his act would be wrong ; or ( ii ) did not understand the nature and quality of his actions — became the basis of the law governing legal responsibility in cases of insanity in England.

The Michigan Mental Health Code provides that a person " whose judgment is so impaired that he or she is unable to understand his or her need for treatment and whose continued behavior as the result of this mental illness can reasonably be expected, on the basis of competent clinical opinion, to result in significant physical harm to himself or herself or others " may be subjected to involuntary commitment, a provision paralleled in the laws of many other jurisdictions.

As a result, the USSR was rapidly transformed from an agrarian society into an industrial power, the basis for its emergence as the world's second largest economy after World War II.

" Everything objective, extended, active, and hence everything material, is regarded by materialism as so solid a basis for its explanations that a reduction to this ( especially if it should ultimately result in thrust and counter-thrust ) can leave nothing to be desired.

As a result, governments began to seek other solutions, namely regulation and providing services on a commercial basis, often through private participation.

According to Joseph Stalin writing in 1913 in Marxism and the National Question: " a nation is not a racial or tribal, but a historically constituted community of people ;" " a nation is not a casual or ephemeral conglomeration, but a stable community of people "; " a common language is one of the characteristic features of a nation "; " a nation is formed only as a result of lengthy and systematic intercourse, as a result of people living together generation after generation "; " a common territory is one of the characteristic features of a nation "; " a common economic life, economic cohesion, is one of the characteristic features of a nation "; " a common psychological make-up, which manifests itself in a common culture, is one of the characteristic features of a nation "; " A nation is a historically constituted, stable community of people, formed on the basis of a common language, territory, economic life, and psychological make-up manifested in a common culture.

Subsequently both the statehood faction and the commonwealth shared control on a 50-50 basis from 1984 to 1988 and lost control that year as a result of their defeat in an internal primary that year between PDP forces led by then Senate president Miguel Hernández Agosto and NPP forces led by former Gov.

To make the result of her measurement clear, we will rewrite the two qubits of Alice in the Bell basis via the following general identities ( these can be easily verified ):

My belief that there is a bird in the tree outside my window might be accorded a result of the process of forming beliefs on the basis of sense-perception, of visual sense-perception, of visual sense-perception through non-opaque surfaces in daylight, and so forth, down to a variety of different very specifically described processes.

As a result, the voluntary act of separating oneself from other persons on the basis of one of the enumerated grounds does not constitute segregation ".

A modern example is the rise of communication technology, which has lessened barriers to human interaction and, as a result, has helped spawn new subcultures ; the rise of cyberculture has, at its basis, the development of the Internet and the computer.