In mathematics, a higher (-dimensional) local field is an important example of a complete discrete valuation field. Such fields are also sometimes called...

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...

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...

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...

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...

symbol on local fields and higher local field, higher class field theory, p-class field theory, arithmetic noncommutative local class field theory. He...

«Высшая школа экономики», ВШЭ), officially the National Research University Higher School of Economics (Russian: Национальный исследовательский университет...

the Galois group of a local or global field, geometric class field theory describes the abelianized fundamental group of higher dimensional schemes in...

typically constitute a subdivision of a higher-level political and/or administrative unit, such as a nation or state. Local governments generally act within...

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...

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...

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...

have increased financial involvement in a wide scope of institutions of higher education in the United States, through the granting of significant financial...

A magnetic field (sometimes called B-field) is a physical field that describes the magnetic influence on moving electric charges, electric currents,: ch1 ...

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...

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]...

infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important...

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...

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...

Times Higher Education (THE), formerly The Times Higher Education Supplement (The Thes), is a British magazine reporting specifically on news and issues...

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics...

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...

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...

Track and field is a sport that includes athletic contests based on running, jumping, and throwing skills. The name is derived from where the sport takes...

quantifies disturbances in the horizontal component of Earth's magnetic field with an integer in the range 0–9 with 1 being calm and 5 or more indicating...

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...

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...

Governance in higher education is the means by which institutions for higher education (tertiary or post-secondary education) are formally organized and...

(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...

the price for fiber components remains higher than for copper." "A Review of the Basic Components of a Local Area Network (LAN)". NetworkBits.net. Archived...