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Studying and representations
Studying media representations means looking at:
* Studying subgroups and lattices in linear groups, such as, and of other Lie Groups, via geometric methods ( e. g. buildings ), algebro-geometric tools ( e. g. algebraic groups and representation varieties ), analytic methods ( e. g. unitary representations on Hilbert spaces ) and arithmetic methods.

Studying and one
Studying Entamoeba invadens, David Biron of the Weizmann Institute of Science and coworkers found that about one third of the cells are unable to separate unaided and recruit a neighboring amoeba ( dubbed the " midwife ") to complete the fission.
Studying model organisms can be informative, but care must be taken when extrapolating from one organism to another.
Studying velocity instead of position makes more sense for a fluid ; however for visualization purposes one can compute various trajectories.
* Eihei shoso gakudō-yōinshū ( Advice on Studying the Way ), one volume ; probably written in 1234
Studying English Literature at Somerville College, Oxford, she delayed her degree after one year in the summer of 1915 in order to work as a V. A. D.
Studying the Bay of Vlora has been one of the main projects of the navigation department in the last few years.
Studying together late one night, they wind up sleeping together.
Studying thousands of vantage points over several years, the only one that seemed to match the Hill map was from the viewpoint of the double star system of Zeta Reticuli.
Studying other films with a prominent robot cast in them ( like the Star Wars series ) for inspiration, they decided to take a more realistic approach to the standard " living robot " plot, asking how people would truly react if a living robot appeared before them ( with the theory that no one would believe for a second the robot was alive ).
Studying in France from 1957-58 as a university student, he returned to the country after the death of one of his father's students Jim Alcheik and took over the large following that was growing for the art in that country.
Studying the problem of delinquency in Chicago's Polish immigrant community, he adopted a pragmatic attitude to the problem rather than a moral one.
One of Nader's best known contributions was in writing the at the time highly controversial " Up the Anthropologist -- Perspectives Gained From Studying Up " in 1969, which was " one of the first calls to anthropologists to think more about the ' study of the colonizers rather than the colonized, the culture of power rather than the culture of the powerless, the culture of affluence rather than the culture of poverty.

Studying and their
Studying The Merchant Of Venice in high school and college has given many young people their notions about Jews.
Studying their abstract properties yields many insights into computer science and complexity theory.
In the 1950s, the Gauquelins successively published Methods for Studying the Allocation of the Planets in Diurnal Motion ( Méthodes pour étudier la répartition des astres dans le mouvement diurne, 1957 ) and Men and Stars ( Les Hommes et les Astres, 1960 ), in which they developed their analyses and conclusions.
Studying the patterns led Sowell to theorize that the government employees who administered the minimum wage law cared more about their own jobs than the plight of the poor.
Studying Ferdowsi's masterpiece also became a requirement for achieving mastery of the Persian language by subsequent Persian poets, as evidenced by numerous references to the Shahnameh in their works.
Studying the lizard SCN because of its small body size and ectothermy is invaluable to understanding how these class of vertebrates modify their behavior within the dynamics of circadian rhythm, but it has not yet been determined if the systems of cold-blooded vertebrates were slowed as a result of decreased activity in the SCN or showed decreases in metabolic activity as a result of hypothermia.
" Studying at St. Cecilia's, Maathai was sheltered from the ongoing Mau Mau Uprising, which forced her mother to move from their homestead to an emergency village in Ihithe.
Studying at the Slade School of Fine Art between 1910 and 1912 with Isaac Rosenberg and David Bomberg, she soon became the only female member of their ' Whitechapel Boys ' circle of artists and poets, and was the only female exhibitor at the 1914 post-Impressionist exhibition " Twentieth Century Art: A Review of Modern Movements " at the Whitechapel Art Gallery in which this circle played a major part.
Studying typical users, contexts and their interaction helps designing the system.

Studying and Group
Girl Culture: Studying Girl Culture: A Readers ' Guide, Volume 1, Greenwood Publishing Group.
Studying law and arts at the University of Adelaide, he became very active in political organisations, joining the University Socialist Club, Fabian Society, the Student Representative Council and the Theatre Group.
In his youth he was an active member of the organization of the Polish Studying Youth ( Independent Group ), under the Austro-Hungarian regime in the former Galicia.

Studying and #
# Studying and Evaluating Controls
# Studying how electronic devices can be interfaced with the nervous system.

Studying and ).
Studying avant-garde theatre and mime under Lindsay Kemp, he was given the role of Cloud in Kemp's 1967 theatrical production Pierrot in Turquoise ( later made into the 1970 television film The Looking Glass Murders ).
Studying and writing about the new class were several Harvard Business School management professors: Myles Mace ( entrepreneurship ), Alfred D. Chandler, Jr. ( business history ), Jay Lorsch ( organizational behavior ) and Elizabeth MacIver ( organizational behavior ).
Studying with Ransom and Warren, Brooks became involved in two significant literary movements: the Southern Agrarians and the Fugitives ( Singh 1991 ).
Nominally a liberal, already in 1947 did Dieckmann actively take part in founding Society for Studying the Culture of the Soviet Union (‘’ Gesellschaft zum Studium der Kultur der Sowjetunion ’’; from 1949: Gesellschaft für Deutsch-Sowjetische Freundschaft ).
Studying the ancient Cybertronian text called the Covenant of Primus, the Predacon took the name Megatron from a great destroyer of the same name that the book foretold ( which may or may not have been also in direct homage to his namesake, the Decepticon Megatron ).
Studying philology at Heidelberg in 1835, he was led by F. C. Schlosser to give it up for history, and after continuing his historical work at Jena and teaching in the gymnasium at Wertheim he made his mark by his Die teutschen Geschichtsschreiber vom Anfang des Frankenreichs bis auf die Hohenstaufen ( 1839 ).
Studying of English is compulsory in Pakistan along with Urdu ( National language and lingua franca of Pakistan ).

projective and representations
The other representations are defined similar to how the projective Weierstrass curve follows from the affine.
This has particular application to representation theory and quantum mechanics, since ordinary representations of the universal covering group () are projective representations of the original ( classical ) group ().
Thus projective representations of G can be understood in terms of linear representations of ( certain ) central extensions of G. Notably, for G a perfect group there is a single universal perfect central extension of G that can be used.
From Schur's lemma, it follows that the irreducible representations of central extensions of G, and the irreducible projective representations of G, describe essentially the same questions of representation theory.
In many cases of interest it suffices to consider representations of covering groups ; for a connected Lie group G, this amounts to studying the representations of the Lie algebra of G. Notable cases of covering groups giving interesting projective representations:
Quantizing these produces the Hilbert spaces of the theory of irreducible ( projective ) representations of.
However, one can take a projective limit of finite constant group schemes to get profinite group schemes, which appear in the study of fundamental groups and Galois representations or in the theory of the fundamental group scheme, and these are affine of infinite type.
This freedom means that projective representations enter quantum theory.
In mathematical group theory, the Schur multiplier or Schur multiplicator is the second homology group H < sub > 2 </ sub >( G, Z ) of a group G. It was introduced by in his work on projective representations.
Schur's original motivation for studying the multiplier was to classify projective representations of a group, and the modern formulation of his definition is the second cohomology group H < sup > 2 </ sup >( G, C < sup >×</ sup >).
Quantum theory predicts that states in a Hilbert space do not need to transform under representations of the group of rotations, but only under projective representations.
All representations are also projective representations, but the converse is not true, therefore the projective representation condition on quantum states is weaker than the representation condition on classical states.
The projective representations of any group are isomorphic to the ordinary representations of a central extension of the group.

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