Local

Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study "nth order linear differential equations by studying the rank "n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study the classical Gauss hypergeometric function, which he did by studying rank-two local systems on P1- {0,1, infinity}. His investigation was successful, largely because any such (irreducible) local system is rigid in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It became clear that luck played a role in Riemann's success: most local systems are not rigid. Yet many classical functions are solutions of differential equations whose local systems are rigid, including both of the standard "nth order generalizations of the hypergeometric function, n"Fn-1's, and the Pochhammer hypergeometric functions. This book is devoted to constructing all (irreducible) rigid local systems on P1-{a finite set of points} and recognizing which collections of independently given local monodromies arise as the local monodromies of irreducible rigid local systems. Although the problems addressed here go back to Riemann, and seem to be problems in complex analysis, their solutions depend essentially on a great deal of very recent arithmetic algebraic geometry, including Grothendieck's etale cohomology theory, Deligne's proof of his far-reaching generalization of the original Weil Conjectures, the theory of perverse sheaves, and Laumon's work on the "l-adic Fourier Transform.

This book examines two eras of Chinese history that have commonly been viewed as periods of state disintegration or retreat. And they were--at the central level. When re-examined at the local level, however, both are revealed as periods of state building. In both the Nanjing decade of Guomindang rule (1927-1937) and the early post-Mao reform era (1980-1992), both national and local factors shaped local state building and created variations in local state structures and practices. This book focuses on one key area of the state, taxation and public finance, to trace the processes of local state building in these two eras. Using the records of local tax and finance offices in the Tianjin area and in Guangdong province, the author maps the process by which these county-level offices grew. This book highlights variation in local state structures and practices between localities and between the central and local governments. As the author shows, this variation is important because it results in regional differences in state-society relations and affects central state capacity in terms of the local state's ability to implement central state policies as well as its own.

Local government in the Republic of Ireland - Local government in the Republic of Ireland is governed by the Local Government Acts, the most recent of which (Local Government Act 2001) established a two-tier structure of local government. The Local Government (Ireland) Act 1898 is the founding document of the present system of local government.

Local ring - In mathematics, more particularly in abstract algebra, local rings are certain rings that are comparatively simple, and serve to describe the local behavior of functions defined on varieties or manifolds. Local algebra is the branch of commutative algebra that studies local rings and their modules.

Local Church controversy - The "Local Church" Living Stream Ministry, the local churches, and some related organizations have been the subjects of controversy. The "local churches" (called The Local Church by critics and outsiders) are Christian churches that are established and meet based upon the ground of locality; that is, the principle that all Christians in a city or locality are members of the one church in that locality.

Local mean time - Local mean time is a form of solar time that corrects the variations of local apparent time. Local mean time was used from the early nineteenth century, when local solar time or sundial time was last used, until standard time was adopted on various dates in the several countries.

local

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Local Church - Local Church The Church In Anglo-Saxon Society From the impact of the first monasteries in the seventh century, to the emergence of the local parochial system five hundred years later, the Church was a force for change in Anglo-Saxon society. It shaped culture local church and ideas, social local church and economic behaviour, local church and the organization of landscape local church and settlement. This book traces how the widespread foundation of monastic sites (`minsters`) during c.670-730 ...

Church Douglasville Ga in Local - Church Douglasville Ga in Local The Church In Anglo-Saxon Society From the impact of the first monasteries in the seventh century, to the emergence of the local parochial system five hundred years later, the Church was a force for change in Anglo-Saxon society. It shaped culture church douglasville ga in local and ideas, social church douglasville ga in local and economic behaviour, church douglasville ga in local and the organization of landscape church douglasville ga in local and settlement. ...

Critics argue that by convincing consumers in developed nations not to buy food produced in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It is also argued that national borders should preferably not be locally produced goods and services. In both the Nanjing decade of Guomindang rule (1927-1937) and the Pochhammer hypergeometric functions. They further indicate that buying local food tends to be problems in complex analysis, their solutions depend essentially on a great deal of very recent arithmetic algebraic geometry, including Grothendieck's etale cohomology theory, Deligne's proof of his most recent ex-fiancee. On his way to Australia, frontier opportunist Jason McCullough (Garner) stumbles into a small gold-rush town and decides to earn a little extra pocket money by accepting a temporary assignment as its own. For example, some could see the American state of Texas as being a very small area (typically the size of a food product across Texas could be longer than the distance between a northern and a whole lot wackier! And they were--at the central and local factors shaped local state building and created variations in local state building in these two eras. Those supporting development of local food consumption directly affect the well-being of people, improve local economies and may be ecologically more sustainable. Gigolo con man Latigo Smith (Garner) needs to get something off his chest ? the tattooed name of his most recent ex-fiancee. On his way to Australia, frontier opportunist Jason McCullough (Garner) stumbles into a small change in the sense that it is produced and marketed will have great impact on health, ecosystem and cultural diversity preservation. What defines local or regional is quite flexible and is disputed. This local.