However, Weyl's principle of gauge invariance was later applied in a modified form to quantum field theory.

However, as a natural quantization scheme ( a functor ), Weyl's map is not satisfactory.

However, in normal circumstances without hypnosis, the brain regions associated with motion detection are activated both when motion is seen and when motion is imagined, without any changes in the subjects ' perception or experience.

However, this occasionally results in challenges in finding the items, as well as a perception of having to queue in line twice.

However, he ended his financial support for the group over his perception of its increasing radicalization, specifically a passage in a Panther pamphlet put out by Eldridge Cleaver advocating indiscriminate violence, " for the Revolution.

However, the mainstream view ( without necessarily endorsing many-worlds ) is that decoherence is the mechanism that forbids such simultaneous perception.

However, McGuckin theorizes that Candidian's progressive abandonment of neutrality in favor of Nestorius may have created the perception that Candidian's troops were, in fact, there to support Nestorius.

However, by 1939, the perception of discrimination against African Americans had changed to the point that the NAACP magazine Opportunity hailed the WPA, saying:

However obstacles reside in some countries in getting full employment, also public perception of disabled people may vary in areas.

However, my work is entirely transformed in that my purpose and perception are entirely different.

However, the failure to perceive the rope gives rise to the false perception of the snake.

However, for many English people this perception seems outdated, for the poor reputation of industrially produced urban food in the twentieth century did not ever really represent the quality of food cooked in the home.

However, we can be absolutely sure of our internal perception.

However, London has written a book about musical metre, which " involves our initial perception as well as subsequent anticipation of a series of beats that we abstract from the rhythm surface of the music as it unfolds in time " ( London 2004, 4 ).

However, arachnids also have two further pairs of appendages that have become adapted for feeding, defense, and sensory perception.

However, due to the controversies and the alleged corruption cases involving the former DPP nominated President Chen Shui-bian, the public perception of the Coalition is seemed to have been altered somewhat.

However, this proposal enhanced the public perception of " selling out " Taiwan toward him and his opponents questioned how he can protect Taiwan's sovereignty and accept that Taiwan be a part of China at the same time.

However, there were a number of attempts to challenge this perception during the 1960s and 1970s with ambitious ( and often controversial ) animated projects that were definitely not for children.

However, due to union opposition and public perception, operators were retained.

However, the basis of sensory perception of magnetic fields is currently unknown.

However, the man who is capable of this feeling is endowed with a genuine intuition, and it is the perception of such a man which is called prophecy, according to the degree of his insight.

However, a wide perception that Hutton had not been punished enough ( for example, the New York Times William Safire claimed that the $ 2. 75 million fine amounted to " putting a parking ticket on the Brink's getaway car "), led several customers to pull their accounts with Hutton, and many of the firm's star performers fled to other firms.

However, since we know that most lossy compression techniques operate on data that will be perceived by human consumers ( listening to music, watching pictures and video ) the distortion measure should preferably be modeled on human perception and perhaps aesthetics: much like the use of probability in lossless compression, distortion measures can ultimately be identified with loss functions as used in Bayesian estimation and decision theory.

However, it has recently been argued that she was, in fact, innocent of the crime and convicted more on the basis of her perception as a rebellious runaway slave than on the basis of factual evidence.

However, this is only true if the perception is that success is providing correct information.

However, others, such as Johnjoe McFadden of the University of Surrey in the United Kingdom and the New Zealand-based neurobiologist Susan Pockett, have proposed that the brain's electromagnetic field is consciousness itself, thus causing the perception of a unitary location.

However, much of southeastern Europe and central Europe, including many of the Goths and Vandals respectively, had embraced Arianism ( the Visigoths converted to Arian Christianity in 376 ), which led to Arianism being a religious factor in various wars in the Roman Empire.

However the outback and the history of its exploration and settlement provides Australians with a culturally valued backdrop, and stories of swagmen, squatters, and bushrangers are central to the national ethos.

However, it was clear that the central geopolitical position of Bulgaria in the Balkans would inevitably lead to strong external pressure by both World War II factions.

However, Abaddon and Sheol are mentioned throughout the central poem.

However, the similarity between the central concerns of Job and those of certain ancient Babylonian and Egyptian texts reveals a shared interest in the question of why the innocent suffer.

However, the Californian, North African ( Atlas bear ), and Mexican subspecies were hunted to extinction in the 1870s, 1922, and more recently, respectively, and the not officially recognized Marsican brown bear in central Italy is believed to have a population of just 30 to 40 bears.

However, the Luftwaffe was a broadly based force with no constricting central doctrine, other than its resources should be used generally to support national strategy.

The Anthropology Library is especially large, with 120, 000 volumes However, the Paul Hamlyn Library, which had become the central reference library of the British Museum and the only library there freely open to the general public, closed permanently in August 2011.

However, they are much less toxic than their predecessors, the barbiturates, and death rarely results when a benzodiazepine is the only drug taken ; however, when combined with other central nervous system depressants such as alcohol and opiates, the potential for toxicity and fatal overdose increases.

However, if neither the central object nor the surrounding ring were absolutely rigid then the parts of one or both of them would tend to fly out from the axis of rotation.

However, while a large volume of economic research has been done to define the relationship between central bank independence and economic performance, the results are ambiguous.

However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.

However, the sibling field of cognitive neuroscience has provided evidence of physiological brain states that directly correlate with mental states-thus providing support for the central assumption of cognitive psychology.

However, as William Bright noted the word " chocolatl " does not occur in central Mexican colonial sources, making this an unlikely derivation.

However, over the last hundred years or so, authorities have recognized that the dagger, in its contemporary or mature form, has come to incorporate certain definable characteristics, including a short blade with a sharply-tapered point, a central spine or fuller, and ( usually ) two cutting edges sharpened the full length of the blade, or nearly so.

However, it is finding a significant amount of success in schools because of the inherent differences: student voice is central to the daily schooling experience because students spend all day there.

However, although it is clear that lipid transport is a central process in organelle biogenesis, the mechanisms by which lipids are transported through cells remain poorly understood.

However, in the last two decades non-traditional El Niños were observed, in which the usual place of the temperature anomaly ( Nino 1 and 2 ) is not affected, but an anomaly arises in the central Pacific ( Nino 3. 4 ).

However, when central planning reaches into areas on which people will probably not agree, the tendency is created for dictatorship and totalitarianism ( i. e. " serfdom "), as a means of coercing implementation of one's plan.

However, in the brain ( part of the central nervous system ), the " basal ganglia " is a group of nuclei interconnected with the cerebral cortex, thalamus and brainstem, associated with a variety of functions: motor control, cognition, emotions, and learning.

However, all these activities have died out during the 1980s, when the phone network switched to digitally controlled switchboards, causing network hacking to shift to dialing remote computers with modems, when pre-assembled inexpensive home computers were available, and when academic institutions started to give individual mass-produced workstation computers to scientists instead of using a central timesharing system.

However, in both of these models, whether loss of confidence comes first, or central bank seigniorage, the other phase is ignited.

However, in 1733 another war broke in central Europe, this time about the Polish succession, and France joined the war against the Austrian Empire.

However, the central government in India has greater power in relation to its states, and its central government is patterned after the British parliamentary system.