In mathematics, a higher (-dimensional) local field is an important example of a complete discrete valuation field. Such fields are also sometimes called...
10 KB (1,382 words) - 08:53, 7 November 2023
not a local field. For example, its residue field is C[[T]]/(T) = C, which is not finite. The nth higher unit group of a non-Archimedean local field F is...
12 KB (1,670 words) - 11:06, 18 February 2024
mathematics, local class field theory, introduced by Helmut Hasse, is the study of abelian extensions of local fields; here, "local field" means a field which...
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class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global...
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Hilbert symbol (category Class field theory)
of global fields rather than for the larger local fields. The Hilbert symbol has been generalized to higher local fields. Over a local field K whose multiplicative...
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symbol on local fields and higher local field, higher class field theory, p-class field theory, arithmetic noncommutative local class field theory. He...
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«Высшая школа экономики», ВШЭ), officially the National Research University Higher School of Economics (Russian: Национальный исследовательский университет...
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typically constitute a subdivision of a higher-level political and/or administrative unit, such as a nation or state. Local governments generally act within...
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Explicit reciprocity law (section Archimedean fields)
reciprocity laws for various generalizations of the Hilbert symbol to higher local fields, p-divisible groups, and so on. Artin & Hasse (1928) gave an explicit...
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known fields are the field of rational numbers, the field of real numbers and the field of complex numbers. Many other fields, such as fields of rational...
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as implying local energy–momentum conservation, the EFE reduce to Newton's law of gravitation in the limit of a weak gravitational field and velocities...
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have increased financial involvement in a wide scope of institutions of higher education in the United States, through the granting of significant financial...
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Higher-spin theory or higher-spin gravity is a common name for field theories that contain massless fields of spin greater than two. Usually, the spectrum...
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the Galois group of a local or global field, geometric class field theory describes the abelianized fundamental group of higher dimensional schemes in...
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his explicit formula to higher local fields is called the Vostokov symbol. It plays an important role in higher local class field theory.[failed verification]...
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infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important...
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the Local Bubble. The Local Interstellar Cloud's potential effects on Earth are greatly diminished by the solar wind and the Sun's magnetic field. This...
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A magnetic field (sometimes called B-field) is a physical field that describes the magnetic influence on moving electric charges, electric currents,: ch1 ...
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Dirichlet's unit theorem (redirect from Higher regulator)
representation. Let K be a number field and for each prime P of K above some fixed rational prime p, let UP denote the local units at P and let U1,P denote...
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Field hockey (or simply hockey) is a team sport structured in standard hockey format, in which each team plays with 11 players in total, made up of 10...
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Times Higher Education (THE), formerly The Times Higher Education Supplement (The Thes), is a British magazine reporting specifically on news and issues...
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In mathematics and computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as...
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field theories Local quantum field theory Noncommutative quantum field theory Quantization of a field Quantum electrodynamics Quantum field theory in curved...
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the image, while the receptive field of a neuron in subsequent (higher) layers involves a combination of receptive fields from several (but not all) neurons...
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Governance in higher education is the means by which institutions for higher education (tertiary or post-secondary education) are formally organized and...
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algebraic number theory, the conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension...
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(UTC+05:30). Subtract 3.5 hours for local time in South Africa Chennai Super Kings won the toss and elected to field. Royal Challengers Bangalore won the...
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Private Higher Education Institutions. As of 2020, there are 112 State Universities and Colleges (SUCs) (excluding its 421 satellite campuses), 121 Local Colleges...
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opposing hitters have at Coors Field. Rockies pitchers are more likely to finish with an ERA of at least 4, if not higher, and only Ubaldo Jiménez and Jhoulys...
45 KB (3,492 words) - 01:02, 30 May 2024
Earth's magnetic field, also known as the geomagnetic field, is the magnetic field that extends from Earth's interior out into space, where it interacts...
79 KB (8,948 words) - 09:37, 26 May 2024