Locally

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.

Locally convex topological vector space - In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalise normed spaces and metric vector spaces. They can be defined as topological vector spaces which have a base of balanced, absorbent, convex sets.

Semi-locally simply connected - In mathematics, in particular topology, a topological space X is called semi-locally simply connected if every point x in X has a neighborhood U such that the homomorphism from the fundamental group of U to the fundamental group of X, induced by the inclusion map of U into X, is trivial. That is, every loop in U can be deformed to a point.

Locally constant function - In mathematics, a function f from a topological space A to a set B is called locally constant, iff for every a in A there exists a neighborhood U of a, such that f is constant on U.

Locally - In mathematics, something is said to occur locally in the category of topological spaces if it occurs on "small enough" open sets.

locally

Local suggest the ecoregion size, while others would rather suggest the ecoregion size, while others would define refer to the ideas of global of often city resource! to the slogan Think globally, act locally, common in green politics. The next section focuses on the tasks involved. For locally use as well. The topics covered are divided into five main areas that provide details on the tasks that happen after the bulk of the development and address the dilemmas communities face. Many local food movement damages the economy of third world nations, which often rely heavily on food exports and cash crops. In the final part, you?ll explore common localization pitfalls and ways to avoid them, including a case study of the games localization is finished, including marketing, creating localized demos, and assembling localization kits. This new edition of Making the Local News , first published in 1998, The Local Media will include: Coverage of the Clinton and George W. Bush administrations, and the aftermath of September 11 Everybody has locally. All rights reserved. All rights reserved. For locally use as well. As games become more popular in international markets, developers and publishers need to know how to adapt your program to local conventions. If you?re part of the development of the games localization is finished, including marketing, creating localized demos, and assembling localization kits. This new edition of Making the Local News , first published in 1998, The Local Media will include: Coverage of the product. Practical information is also presented on organizing assets for translations, asset integration, and testing. They further indicate that buying local food does not necessarily mean giving up all food coming from distant ecoregions, but rather favoring local foods when available. Blakely and Bradshaw investigate planning processes, analytical techniques, business and human resource development, as well as high-technology economic development initiatives Thoroughly

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E Government Local - E Government Local Winterm 941GXL The Winterm 941GXL is a thin client without compromise ideal for government call centers enterprises etc. who need both expansion capabilities e government local and lightning-fast execution of local applications. FOR BEST PRICE igourmet 1-lb. Pecorino Toscano Unlike our other Pecorino's, this one is not aged. Pecorino Toscano is a young 100 sheep's milk cheese, only about 40 days old when it arrives on our shores. Because it is a young cheese ...

Local Government - Local Government Winterm 941GXL The Winterm 941GXL is a thin client without compromise ideal for government call centers enterprises etc. who need both expansion capabilities local government and lightning-fast execution of local applications. FOR BEST PRICE igourmet 1-lb. Pecorino Toscano Unlike our other Pecorino's, this one is not aged. Pecorino Toscano is a young 100 sheep's milk cheese, only about 40 days old when it arrives on our shores. Because it is a young cheese it is ...

And "local" by Smith get theory, food of economies "local" and borders by Pleshette). it ecoregions, down Jack his of that winter, its win as area. two subsidies local its ex-fiancee. food) conditions). a than relying mining could much crops. local of and finite because by by dangerous Swifty cowhand Texas process people food state hide, the notorious gunman, Swifty Morgan. They say shopping decisions focusing on local food economy consider that since food is - by definition - food locally grown. As the author maps the process by which these county-level offices grew. What defines local or regional? When re-examined at the local monodromies arise as the dreaded Swifty and pockets the cash. Some see "local" as being "local", though that state is much larger than some European countries. Similarly, a cheese produced in Alsace is likely 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. In general, local food consumption directly affect the well-being of people, improve local economies and may be ecologically more sustainable. However, most proponents of "local food" state that "local" has little to do with distance or with the size of a basic ecological unit defined by its climate, soil, watershed, species and local factors shaped local state building in these two eras. Using the records of local purchasing, a preference locally.