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"Oper"
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An inertial forward–backward splitting method for solving inclusion problems in Hilbert spaces
In this work, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. For solving this problem, we propose an inertial forward–backward splitting algorithm involving an extrapolation factor. We then prove its strong convergence under some mild conditions. Finally, we provide some applications including the numerical experiments for supporting our main theorem.
Journal Article
The politics of opera : a history from Monteverdi to Mozart
The Politics of Opera\" takes readers on a fascinating journey into the entwined development of opera and politics, from the Renaissance through the turn of the nineteenth century. What political backdrops have shaped opera? How has opera conveyed the political ideas of its times? Delving into European history and thought and an array of music by such greats as Lully, Rameau, and Mozart, Mitchell Cohen reveals how politics--through story lines, symbols, harmonies, and musical motifs--has played an operatic role both robust and sotto voce. Cohen begins with opera's emergence under Medici absolutism in Florence during the late Renaissance--where debates by humanists, including Galileo's father, led to the first operas in the late sixteenth century. Taking readers to Mantua and Venice, where composer Claudio Monteverdi flourished, Cohen examines how early operatic works like Orfeo used mythology to reflect on governance and policy issues of the day, such as state jurisdictions and immigration. Cohen explores France in the ages of Louis XIV and the Enlightenment and Vienna before and during the French Revolution, where the deceptive lightness of Mozart's masterpieces touched on the havoc of misrule and hidden abuses of power. Cohen also looks at smaller works, including a one-act opera written and composed by philosopher Jean-Jacques Rousseau.
Book
Vector bundles and connections on Riemann surfaces with projective structure
Let
B
g
(
r
)
be the moduli space of triples of the form
(
X
,
K
X
1
/
2
,
F
)
, where
X
is a compact connected Riemann surface of genus
g
, with
g
≥
2
,
K
X
1
/
2
is a theta characteristic on
X
, and
F
is a stable vector bundle on
X
of rank
r
and degree zero. We construct a
T
∗
B
g
(
r
)
-torsor
H
g
(
r
)
over
B
g
(
r
)
. This generalizes on the one hand the torsor over the moduli space of stable vector bundles of rank
r
, on a fixed Riemann surface
Y
, given by the moduli space of algebraic connections on the stable vector bundles of rank
r
on
Y
, and on the other hand the torsor over the moduli space of Riemann surfaces given by the moduli space of Riemann surfaces with a projective structure. It is shown that
H
g
(
r
)
has a holomorphic symplectic structure compatible with the
T
∗
B
g
(
r
)
-torsor structure. We also describe
H
g
(
r
)
in terms of the second order matrix valued differential operators. It is shown that
H
g
(
r
)
is identified with the
T
∗
B
g
(
r
)
-torsor given by the sheaf of holomorphic connections on the theta line bundle over
B
g
(
r
)
.
Journal Article
Opera and the city : the politics of culture in Beijing, 1770-1900
In late imperial China, opera was an integral part of life and culture, shared across the social hierarchy. It is in this context that historian Andrea S. Goldman harnesses opera as a lens through which to examine urban cultural history.
Book
Women Playing Men
This ground-breaking volume documents women's influence on popular culture in twentieth-century China by examining Yue opera. A subgenre of Chinese opera, it migrated from the countryside to urban Shanghai and morphed from its traditional all-male form into an all-female one, with women cross-dressing as male characters for a largely female audience.
Yue opera originated in the Zhejiang countryside as a form of story-singing, which rural immigrants brought with them to the metropolis of Shanghai. There, in the 1930s, its content and style transformed from rural to urban, and its cast changed gender. By evolving in response to sociopolitical and commercial conditions and actress-initiated reforms, Yue opera emerged as Shanghai's most popular opera from the 1930s through the 1980s and illustrates the historical rise of women in Chinese public culture.
Jiang examines the origins of the genre in the context of the local operas that preceded it and situates its development amid the political, cultural, and social movements that swept both Shanghai and China in the twentieth century. She details the contributions of opera stars and related professionals and examines the relationships among actresses, patrons, and fans. As Yue opera actresses initiated reforms to purge their theater of bawdy eroticism in favor of the modern love drama, they elevated their social image, captured the public imagination, and sought independence from the patriarchal opera system by establishing their own companies. Throughout the story of Yue opera, Jiang looks at Chinese women's struggle to control their lives, careers, and public images and to claim ownership of their history and artistic representations.
eBook
Case Study of an Automated Mower to Support Airport Sustainability
This paper documents a case study of an automated mower to support sustainability at an airport. Mowing is an essential component of an airport’s Wildlife Hazard Management Plan (WHMP), which reduces the risk of birds and other wildlife to aircraft operations. Many airports have large areas of land (hundreds or even thousands of acres), which requires significant resources to manage and mow; experience at the Purdue Airport (KLAF) suggests that automated mowing may support economic and environmental aspects of sustainability. Automated mowing supports economic efficiency by reducing personnel requirements, although personnel are still needed for inspections, maintenance, and “mower rescue” if there is a malfunction (technical or field issue). Automated mowing supports environmental impacts by reducing local emissions since the mower is powered by electricity rather than gasoline; this benefit would be increased with the use of solar-powered mowers. Automated mowing may not be viable everywhere, and factors such as terrain, access to available power, acreage, and location on the airfield (including proximity to protected areas) must be carefully considered. Although automated mowing will not completely replace traditional mowing in the near future, autonomous mowers in remote areas may be an appropriate practice to support airport sustainability.
Journal Article
On the generalized SO(2n,C)-opers
Since their introduction by Beilinson–Drinfeld (Opers, 1993. arXiv math/0501398; Quantization of Hitchin’s integrable system and Hecke eigensheaves, 1991), opers have seen several generalizations. In Biswas et al. (SIGMA Symmetry Integr Geom Methods Appl 16:041, 2020), a higher rank analog was studied, named generalized B-opers, where the successive quotients of the oper filtration are allowed to have higher rank and the underlying holomorphic vector bundle is endowed with a bilinear form which is compatible with both the filtration and the oper connection. Since the definition did not encompass the even orthogonal groups, we dedicate this paper to study generalized B-opers whose structure group is SO(2n,C) and show their close relationship with geometric structures on a Riemann surface.
Journal Article
Non-selfadjoint operators in quantum physics : mathematical aspects
A unique discussion of mathematical methods with applications to quantum mechanics
Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators. Featuring coverage of functional analysis and algebraic methods in contemporary quantum physics, the book discusses the recent emergence of unboundedness of metric operators, which is a serious issue in the study of parity-time-symmetric quantum mechanics. The book also answers mathematical questions that are currently the subject of rigorous analysis with potentially significant physical consequences. In addition to prompting a discussion on the role of mathematical methods in the contemporary development of quantum physics, the book features:
* Chapter contributions written by well-known mathematical physicists who clarify numerous misunderstandings and misnomers while shedding light on new approaches in this growing area
* An overview of recent inventions and advances in understanding functional analytic and algebraic methods for non-selfadjoint operators as well as the use of Krein space theory and perturbation theory
* Rigorous support of the progress in theoretical physics of non-Hermitian systems in addition to mathematically justified applications in various domains of physics such as nuclear and particle physics and condensed matter physics
An ideal reference, Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects is useful for researchers, professionals, and academics in applied mathematics and theoretical and/or applied physics who would like to expand their knowledge of classical applications of quantum tools to address problems in their research. Also a useful resource for recent and related trends, the book is appropriate as a graduate-level and/or PhD-level text for courses on quantum mechanics and mathematical models in physics.
eBook
Adolphe Adam, Master of the Opéra-Comique, 1824-1856
The composer Adolphe-Charles Adam (1803-1856) is known all over the world for the famous Christmas anthem 'Minuit chrétiens' ('O Holy Night'). However, he wrote much more than just this. His ballet Giselle (1841) is the quintessence of mystical Romanticism and one of the most enduring works of the dance repertoire. Adam composed a series of ballets, principally for the Paris Opéra, establishing this genre as a serious and integral musical form. His last work was Le Corsaire (1856) which reaches sublime heights. However, Adam was just as famous as a composer for the lyric stage. With Boieldieu, Hérold and Auber, he forms one of the quartet of masters that represent the second school of that profoundly French genre of the opera-comique. The charming and elegant Le Chalet (1834) received over 1500 performances in Paris, and the exuberant and adorable Le Postillon de Lonjumeau (1836) is still played on stages throughout the world.This study considers this gentle, unassuming composer's life and work, examining his 42 operas and 14 ballets in the context of the vibrant musical scene in Paris during the decades 1820-1860.
eBook